diff --git "a/data/dm_maths/full_data/11103_11255.jsonl" "b/data/dm_maths/full_data/11103_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11103_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 2*t = 4*t. Let b be (8 - -66 - -4)*-8. Let h = 48044\/77 + b. Is h at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720490356 a multiple of 2868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 217955 or 0.1347?\nAnswer: 0.1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -144, 111, -29.\nAnswer: -144, -29, -4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*f - 53 = -2*s + 122, 214*s + 3*f - 971 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = 14*z - 15*z, 4*z = -16. Suppose 0*g = c*g - 3*m - 9, -5*g + 20 = 5*m. Solve g*r - 3*d = -21, 4*d - 4 = 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 194.\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + (39 - (-10 + 56 - 7)) - 88?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 3*a**2 + 5*a - 2. Let m(g) = 5*g**3 + 4*g**2 - 6*g + 3. Let w(o) = 3*m(o) + 4*v(o). Let i be w(-1). Solve y - 1 + i = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + b, 0 = 5*i - b - b - 6. Suppose y - 5*y + 3*a + 712 = i, y = 5*a + 178. Let m = -116 + y. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -74, -0.3, 1\/6, -0.2, -1, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) -2\/3 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**2 + 9*g - 2. Let w(q) = -14*q**2 + 1 + 10*q**2 + 12*q - 16*q. Let p(m) = 3*k(m) + 7*w(m). Calculate p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 + -215. Let n = -144.999966 + b. What is n rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -y, -11 = y + 5*k + 7. Let s = 4 + y. Let j = s + 2. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5683, 2, 203.\nAnswer: 2, 203, 5683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -24.047?\nAnswer: -24.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 74*q. Let o(i) = -553*i. What is j(o(p))?\nAnswer: -40922*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83273 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - -325. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -3. Let g(l) = 4*l - 4. Let y(q) = 11*q - 11. Let p(r) = -17*g(r) + 6*y(r). Let z be p(3). Which is greater: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 10 + -3 + -13 + -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g - 2*h + 1271 - 1243, 4*g - 2*h + 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. Let z(k) = -162*k - 9. What is n(f) + z(f)?\nAnswer: -164*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795984 is divided by 397974.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.0538 + 12.0207565. Let q = 0.0329 + p. What is q rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.8, 3, -4 in descending order.\nAnswer: 4.8, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, q: 3}. What is prob of picking 4 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -380 - -575. Calculate the remainder when i is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -258587 + -2?\nAnswer: -258600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/44889990 and 49\/47814.\nAnswer: 583569870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -12*l + 1. Let m(z) = 1. Let n(h) = h - 9. Let t(y) = -18*m(y) - 2*n(y). What is d(t(x))?\nAnswer: 24*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 16\/1045159?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21153 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-19))**(-16) assuming d is positive.\nAnswer: d**304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 51.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1391\/9737*6\/42.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -7) + 48\/228. Is h at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = 2*n - 7369, 0 = -5*t - 2*n + 12275. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3207750\/(-104)*((-50)\/(-1) - (-2 - -4)). Round z to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -146, -174, -224, -302, -414, -566, -764?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**3\/3 + 15721. Let u(y) = -23*y**2 - 3. Let x(v) = 1404*v**2 + 182. Let n(w) = 182*u(w) + 3*x(w). Determine q(n(h)).\nAnswer: 1352*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1704940 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156636141 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -40869347 divided by 2?\nAnswer: -40869347\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 12) to base 13.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 15. Let a be o(9). Suppose -u = -a*u + 125. Let y = u + -13. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 207*g + 316*g.\nAnswer: 523*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2177055.\nAnswer: 3, 5, 101, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 833997.3nm in kilometers?\nAnswer: 0.0000008339973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130 and 180349?\nAnswer: 1803490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -3, 28, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -4 - (-42 + 8).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z**2 - 7*z**2 + z**3 + 1 - z + 3. Let q be f(0). Suppose -q*v - v - 19 = j, 3*j - v = 7. Which is smaller: j or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -583 - -271. Let z = -310 - m. Which is the nearest to z? (a) 7 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -180*y - 10083. Let o be m(-56). Let w be 494\/24 - (-2)\/3. Let p = w + -21. Which is the nearest to -0.1? (a) -0.5 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1092 + 3357*s + 1092 - 11377*s - 7456*s in the form m + x*s and give x.\nAnswer: -15476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**6\/33 - 76*k**5\/55 + 86*k**4\/11 - 156*k**3\/11 + 9*k**2 - 4578. Solve h(n) = 0.\nAnswer: 0, 1, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 444. Let w = l - 19. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0 - 56\/3*g**3 - 4*g - 62\/3*g**2 + 2\/3*g**4 + 8\/3*g**5 = 0.\nAnswer: -2, -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -11*l**5\/60 - 7*l**3\/6 - 11*l**2. Find the first derivative of h(g) wrt g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 87 = 145*p - 146*p, 7*v - 3*p - 561 = 0. Factor -10*t + 1\/3*t**2 + v.\nAnswer: (t - 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/19)\/j)\/j**(-1)*j\/j**(-1\/4)*j\/j**5 assuming j is positive.\nAnswer: j**(-201\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -276*p**2 + 6*p**3 - 42*p - 2*p**3 + 276*p**2 as t + o*p**3 + w*p**2 + y*p and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 - -277. Let z(x) = 0 - 106*x + 166*x + 1 + t*x. Is z(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 149078486704 and -0.4.\nAnswer: 149078486703.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i**3 - 30*i**3 - 34*i**3 - 38*i**3 - 34*i**3 + 171*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3)*(-30)\/2. Let x = 30 + -8. Let v = 37 - x. Calculate the greatest common divisor of h and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:31 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1229*u**3 - 16*u + 11. Let i(v) = 410*v**3 + 6*v - 4. What is 8*i(k) + 3*r(k)?\nAnswer: -407*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/999108 and 107\/318.\nAnswer: 52952724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-695 + -7)\/54 - (1 - 426\/27). Determine m, given that -4\/3*m**2 + 0 + 2\/9*m**4 - 2\/3*m**3 + b*m = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12009, -23939, -35785, -47547, -59225, -70819?\n\"Answer: 42*d**2 - 12056*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - -1 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(363)*2*3 - ((sqrt(363) + -2*-1*sqrt(363))**2 + (sqrt(363) + -1)**2 + sqrt(363) + 3)).\nAnswer: -3636 + 209*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**7\/105 - u**6\/12 + u**5\/10 - 17*u**3\/6 + 2*u**2 - 64*u. What is the third derivative of m(g) wrt g?\nAnswer: 48*g - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine quarters of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-12))\/(4\/16). Suppose 16 = h*u - 0*u - 5*d, 4*d = -4*u. Suppose -3*y + 4*x = -1329, -y + 2215 = 4*y - u*x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/13, -29, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 18*f - 2*f**2 + 19*f - 37*f. Let g(b) = 10*b. What is g(a(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17*(432\/153)\/3. Solve 3*s + 5*a = -28, 4*a = -s + 5*s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 5) to base 2\nAnswer: 1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 2, m: 3, q: 1}. What is prob of sequence mha?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12)*(-156)\/(-507)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*s**3 + 10*b*s**2 - 2*b*s + 14*b - 2*s**4 - s wrt s.\nAnswer: -6*b*s + 20*b - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(165\/(-11)) + 2412 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -26\/16489?\nAnswer: -26\/16489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1133\/875 - 19\/125. Suppose -8\/7*c + m*c**3 + 0 - 30\/7*c**2 = 0. Calculate c.\nAnswer: -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (2*sqrt(2) - sqrt(2)) - (sqrt(2) - (sqrt(288) + -1)))*-4)**2.\nAnswer: -1152*sqrt(2) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, w: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 11 + 30)*(3*q - 4*q + 2*q)*(0 - 2*q + 0).\nAnswer: -86*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -12958 equal to -12958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -282.7\nAnswer: -11.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794363356 to the power of 1\/2, to the nearest integer?\nAnswer: 52862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*10\/((-2090)\/57).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1512325237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152649997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 43 - 167. Calculate the remainder when 14 is divided by ((-36)\/w)\/((-4)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:32 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -28683.3 to the nearest 100.\nAnswer: -28700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -30*i - 5. Let l(n) = -n**2 + 60*n + 11. Let z(x) = 5*f(x) + 2*l(x). Is z(-13) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 4*v. Let b(i) = -i**2 - i. Let k(z) = -4*b(z) + j(z). Let d(p) = p - 3. Let o be d(-3). What is k(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 3*i)*(4*i + 3*i - 5*i + (0*i + 2*i - i)*(-3 + 4 + 1))*(2*i + 3 - 3 + (1 - 2*i - 1)*(-5 + 2 + 2)).\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131444 is divided by 26280.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/11, -173, -2\/9, -0.5, 2, -26.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141486673?\nAnswer: 1141486673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c - 6*c - 114*c**3 + 20*c as q + f*c**2 + t*c + a*c**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2\/11 + 9116*x\/11 + 90960\/11 = 0.\nAnswer: -4548, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12082508 by 3020627.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2679732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by (95\/30)\/((-4)\/(-24)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (1 - 2))\/((-7)\/35). Suppose 7*o + 5*x - 29 = n*o, -21 = -2*o + 3*x. Solve -4*u - 4 = u - i, -3*i + o = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 33*f**4 - 30*f**4 + 0 + 1 as s*f**4 + q*f + w + v*f**3 + u*f**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 8*p = -462. Let k(i) = -i + 5. Determine k(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 625*a**3 + 27*a**2 + 59*a**2 + 67*a**2 wrt a.\nAnswer: 3750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:38 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 221733311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 143*b**2 + 4 - 2*b**3 - 148*b**2 + 3*b**3 - 4*b. Let j(w) = -w + 13. Let q be j(7). Calculate l(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r - 138. Let z be m(7). What is the third biggest value in z, 0, 10\/19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 52*w - 6214. Let q be r(109). Let g(m) = m**3 + 8*m**2 - 9*m + 5. Let j be g(-9). Let c = 0 - -3. Put -2, q, j, c in ascending order.\nAnswer: -2, q, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 87*m**2 - 2086*m + 82. Is y(-105) a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.115312*-0.3.\nAnswer: -0.0345936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 17 + 5. Suppose -2*p + 442 = -2*u + 4*u, 5*u - w*p = 1145. Suppose -u = -2*m + 90. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28657329, -28657330, -28657331, -28657332?\nAnswer: -28657333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**6\/1800 - d**5\/100 - 7*d**4\/120 - 11*d**3\/3 + 4*d**2 + 3. Let j(o) be the first derivative of r(o). Factor j(k).\nAnswer: (k - 7)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 12}. What is prob of sequence prp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -18. Let g = m + -14.999965. Round g to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -7*v**2\/2 + 28*v - 9. Let c be u(-4). Suppose c*r = 60*r - 648. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 8. Let s be k(-7). Let n = 12.5 - 13.5. Which is the nearest to n? (a) s (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/(-27) - 6)*-3*9\/15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -8, 2, -47655 in ascending order.\nAnswer: -47655, -8, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2508*j**3 + j + j + 2519*j**3 in the form v + c*j + w*j**3 + p*j**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4 + 5 - 4 - 192*i**2 + 0 + 120*i + 7. Let j(g) = -191*g**2 + 119*g + 8. Let r(c) = -3*j(c) + 2*y(c). What is the second derivative of r(x) wrt x?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95627 is divided by 47479?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 67160 divided by 5\nAnswer: 13432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 200 = 7*i + 5*c, -c = 2*i - 76. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-318)\/(-53).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281532976 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 2961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2 - 19*i**2 - 67*i + 53*i + 2 + 26*i**2. What is l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38080*o**4 + 37923*o**4 + 2*o**2 + 0*o**2 - 254 wrt o?\nAnswer: -628*o**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 119.28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 750998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6358 + -2.6358. Put -0.3, -1, 0.87, l, -0.1 in descending order.\nAnswer: l, 0.87, -0.1, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*k - 3. Let t be (0 - (3 - 1)) + k. What is the units digit of 107\/2 + 3\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4636887 tonnes in grams?\nAnswer: 463688.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15028 and 252824?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.37 - 0.63. Let z = -4 - -2. What is the second biggest value in z, i, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-3 - (-2 + -12) - (41 + -24 + 37))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 352 = p, 4*p - 2*r = 936 + 400. What are the prime factors of p?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.065 + 474.035. Let h = p - 484. Which is the biggest value? (a) 0.3 (b) -4 (c) h (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 3)\/((-2)\/(-6)). Let z be (-30)\/(-7) - 4\/14. Let g = z - o. Which is the second biggest value? (a) -1\/6 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*-15.6102.\nAnswer: 1123.9344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 32 - 2*a - 14 - 18.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46485067340628 and 0.2.\nAnswer: -46485067340627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143158 is divided by 6643.\nAnswer: 3655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 43708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 40 - 8. Let q be (223\/4)\/((-8)\/h). Let w = -96 + q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + -32 + 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 o when three letters picked without replacement from eloleololoeoooee?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 124, 2 in ascending order.\nAnswer: -0.4, 2, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 24 - 20. Suppose -4 = -2*x - w*u, 3*x = -3*u - 0*u + 3. Solve -j + 6*j = -4*g + 32, 5*j - 2*g - 14 = x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275461883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Let f(k) = k**2 + j*k - 2*k - k. Let m(n) = n + 6*n**2 - n - 11*n**2. Determine f(m(w)).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncb when three letters picked without replacement from cvvjcbcccnccccjcqbj.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703905 is divided by 3760?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -100100101000011011011101 (base 2) to base 15\nAnswer: -c9a406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (4 - (20 + -10)) - -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - z + 3*z**2 + z**4 + 5*z**3 - 7*z**3 in the form m + a*z**4 + g*z**3 + k*z**2 + t*z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29759 + -29741. Let k(b) = -5*b - 7. What is k(f)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l + 4*l - 2*l)*(-l**4 + 0*l**4 + 3*l**4) + 0*l**5 + 9891 - 10259 + l**5 + 2*l**4)*(-1 + 5 - 1).\nAnswer: 15*l**5 + 6*l**4 - 1104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 23. Let w(b) = -3*b - 24. Let q(y) = 3*y + 22. Let a(u) = -6*q(u) - 5*w(u). What is -7*a(c) + 4*k(c)?\nAnswer: c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -38393.\nAnswer: 191965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-154)\/(-2618) + (-982)\/2244 and 25\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(0*i + 0*i + 3*i)*(i**3 + 2*i**3 - i**3) - 11*i**4 + 3*i**3 + 7*i - 5*i + 19*i**4.\nAnswer: 20*i**4 + 3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -221*b + 600*b - 681*b - 313*b - 88*b as x*b + j and give x.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2192*y - 2*y**3 + 1153*y + 7*y**3 - 3345*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167*b - 23 = -5*r - 1171*b, 48 = 4*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 250 = 4*l. Let f = 9 - l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14108.83 to the nearest 10.\nAnswer: -14110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48902543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -5, 0, -3, 4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + g + 5)*(g + 0*g - 2*g) - 11*g**2 - 3*g**2 + 13*g**2 to o*g**2 + r*g + m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6.38. Let v = -343.6115 + 344. Let o = s - v. Round o to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3\/8)*g)\/g)\/g**0*g**(-2)\/g**(-2))**(-2\/35) assuming g is positive.\nAnswer: g**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -41.12. Let s = b - 0.7289. Let l = s - 0.15. Round l to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/6)\/((-14)\/21). Suppose 40 = z + f*c, 0 = z - 0*z + 4*c - 42. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19883*g - 19888*g - 155 = 0 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11965*w. Let o(j) = -3*j + 8. Give o(r(a)).\nAnswer: -35895*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4844 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*k + 12074 - 2134 = -2928*k + 1518*k for k.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -8333*k**3\/2 - 2*k**2 + k. Let l be (12\/(-14))\/((-9)\/42). Let t be d(l). Round t to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4349774 or 4349799?\nAnswer: 4349774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*u + 981 - 1828 = 1870 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**6)\/l*l)\/(l*l**(-2\/5))*((l**(2\/7)\/l)\/l)**(13\/6)*((l*l*l**(-2))\/(l\/l**(-4)))\/(l*(l**(-2\/5)*l)\/l*l*l**(-2)) assuming l is positive.\nAnswer: l**(-487\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqyqjbiyybjbbjyyqyei. Give prob of picking 1 e and 1 j.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765 less than 2?\nAnswer: -2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 2*g**2 - 18*g - 1536. Determine h(0).\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3 + 1.1. Let k = n - 1.8. Let o = 71.3 - 71. Which is the closest to 0.1? (a) 1\/6 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 608, 2437, 5494, 9785, 15316, 22093, 30122, 39409?\n\"Answer: x**3 + 608*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l - 1. Let g(p) = 4*p**2 + 2*p - 3. Let w(o) = -6*o - 50. Let f be 6 + 75\/(-6) + (-3)\/2. Let r be w(f). Let c = 1 - 0. Give c*g(d) + r*m(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(153) + -1)*2 + -5*sqrt(153)*-1)**2 - (1 + (sqrt(153) + -1)*-1 + (sqrt(153) - sqrt(153)*2) + 3)**2.\nAnswer: -24*sqrt(17) + 6864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*1 + 29 + -63 + 22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3918*v**3 + 2*v**2 - 25*v - 28. What is the units digit of t(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-2))\/(4\/((-624)\/585)*(-2)\/10).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10814620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3044*b**2 - 9072*b - 180.\nAnswer: 4*(b - 3)*(761*b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndo when three letters picked without replacement from {d: 4, n: 2, t: 2, o: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 605*w**4 - w**2 + 12*w wrt w?\nAnswer: 14520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -22012212?\nAnswer: -22012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 12*s**2 + 6*s - 14. Let b be l(-8). Let g be 0 + 1 - -2 - (0 - b). Suppose g = 3*i - 70. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1797 by -4.\nAnswer: -1797\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8 - 4 + 16 + 4*x. Suppose 3*q = 2*v + 14, 0 = -q + 5*v + 9. Suppose -18 = n - q*c, 11 = -3*n - 2*c - 1. Calculate u(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287.141 + -287. Sort -0.4, f, -5, -4 in decreasing order.\nAnswer: f, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/((-4)\/(-10)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218371856383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + ((sqrt(320) + 0)*-4 + sqrt(320) - sqrt(320)) + -4))**2*-5 + -5.\nAnswer: -230405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22670958?\nAnswer: 2, 3, 173, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 2*x**2 - 4*x - 5. Let l be i(5). Suppose 0*o + l = 5*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867181043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 4. Let o be r(-7). Let s(y) = -y - 3. Let c(u) = -u - 4. Let g(d) = o*c(d) - 4*s(d). Let k(t) = -39*t. What is g(k(f))?\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187)*-2 + sqrt(187)))*4 + (sqrt(187) - -3*-1*sqrt(187)))\/((sqrt(275) + sqrt(275)*-2 + sqrt(275))*-4 - 5*sqrt(275)*-1).\nAnswer: 6*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z + 5*m + 2120, 2*z = -2*m + 856. Suppose -16*u + z = -10*u. What is the remainder when u is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, o: 3, p: 1, z: 6}. What is prob of sequence gpg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**4\/5 + 384*x**3\/5 - 408*x**2\/5 - 1952*x\/5 - 1164\/5 = 0.\nAnswer: -97, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 302090348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 523*k - 520*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20)\/1 + (-1 - 0).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -25. Suppose -b*a = 4*r + r - 13, 4*a + 5*r = 24. Solve 3*x - 4*u - 25 = 0, 0 = -3*x - 2*x - u + a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -525*p - 97. Let s be x(-5). Suppose -7*w + 972 = -s. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t + 5*o = -12, -t = 4*o + 3. Put 1, 0, t in ascending order.\nAnswer: t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421.0744 - -0.0744. Let f = k + 418.628. Let s = f - -0.242. What is s rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8376.749us to seconds.\nAnswer: 0.008376749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - m + 60 = 0, m = -5*w + 23 + 79. Let i(v) = -11*v - 382. What is the remainder when i(-40) is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 12. Find the second derivative of -q*k**2 + 43*k**2 + 13*k + 7*k**2 - 12*k**2 wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)\/((m\/(m\/(m\/(m\/(m\/((m**(2\/3)\/m)\/m*m))))))\/m))\/(m\/m**(2\/17)*m**8) assuming m is positive.\nAnswer: m**(-980\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {n: 5, o: 6, p: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**3 - 29663*n**2 + 29663*n**2.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfjaaf. Give prob of picking 1 j and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -478?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 6:27 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(15\/(-10))\/3. Solve -2*p = 2*r - i + 3, -5*p = -3*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j + 67 + 167 + 159*j**2 + 205*j**2 + 181*j**2 wrt j.\nAnswer: 1090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 284 - 281. Which is the second biggest value? (a) 3\/5 (b) 2\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -13*y**4\/3 - y**3 + 23*y**2. What is the tens digit of a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.0448m to millimeters.\nAnswer: 48044.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 172134.442702171?\nAnswer: 172134.642702171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + n**4 - 71425*n + 71425*n - 3*n**2 + 4*n**2 + 16*n**3 to the form k*n + f*n**2 + a*n**4 + w + g*n**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdffyofffkff. What is prob of sequence ky?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166386, 332829, 499272, 665715?\nAnswer: 832158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -22*i + 19*i. Let k = i + -51. Solve 20 = k*d + d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91.9634 - 1.4466. Let l = b - -94. Round l to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1728) + (2*sqrt(162))\/sqrt(6))*4)**2 - (-1 + 2 + sqrt(27) - 2*sqrt(1323)).\nAnswer: -921*sqrt(3) + 43215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 6, f: 4, o: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from parpprparrr.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31556 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 37184?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-3) + 2\/6. Let m be (-76)\/38 - (-9 - -1). Suppose -3*l = -3*i, -m = 3*l + i - 26. Solve 0 = l*q - 25, w*u - 2*q + 9 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 12*u**2 - u + 1. Let b be r(-12). Put 4, b, -5 in descending order.\nAnswer: b, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -71. Let s be 94\/(-89) - (0 + -4 + 3). Let m = 223\/801 + s. Sort q, 1\/3, m.\nAnswer: q, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 560, 825, 1072, 1295, 1488?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(78)*2*2)\/(2*sqrt(54)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*-1)\/(-2*sqrt(10)\/sqrt(2)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 1. Let f(v) = 2*v - 1. Let r be f(2). Let m be (((-15)\/10)\/r)\/((-2)\/(-28)). Let h(d) = 4*d - 1. Determine m*q(o) + 5*h(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16879 + 3519 = 8*p. Round p to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c. Let d(i) = -5*i**2 + 8994*i. Give s(d(a)).\nAnswer: -30*a**2 + 53964*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m + 30. Let t be g(0). Suppose 39 - t = 3*z. Find the second derivative of -36*u + 8*u**3 - 12*u**z + 17*u**3 wrt u.\nAnswer: 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -2.\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 557916200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*k**5 + 12*k**2 - 15*k - 189 wrt k.\nAnswer: -3060*k**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**3\/3 - 312*w**2 + 97344*w + 1925. Suppose z(r) = 0. Calculate r.\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010001110 (base 2) in base 10?\nAnswer: -11406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18b - 6c1b5?\nAnswer: -6c027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 25*l**2 + 48*l + 3247. Determine f(31).\nAnswer: -1031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8088145\/278 - 29094. What is the common denominator of l and -71\/20?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2540.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 6135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6994, 13831, 20670, 27511, 34354, 41199?\nAnswer: 48046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 - 203. Which is greater: 65 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 5:09 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2070 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -150593490*p**2 + 103*p + 8*p**3 + 1 + 150593490*p**2 as q*p**3 + u*p + a + y*p**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.82, 0, -7\/13522?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -53764.31\nAnswer: 53767.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198 by 26.\nAnswer: 99\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1311499 divided by -12733.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -14*q**2 - 500*q + 5785. What is w(12)?\nAnswer: -2231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26310436 divided by -8?\nAnswer: -6577609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmzdnmnmmdzmwmemz. What is prob of picking 1 e and 2 z?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 897253 and 897205 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 31664170 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12 from 12031383.\nAnswer: 12031382.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = -4. Let v be 2\/(g + (-40)\/15). Let k(h) = -2*h**2 - 7*h + 7. Let m(o) = -o**2 - 3*o + 3. What is v*k(b) - 14*m(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.1. Let r = g + -0.5. Let t = 0.0544 - 2.0544. Sort r, t, 1.1 in descending order.\nAnswer: 1.1, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 119872, 0.8, 0.3 in increasing order.\nAnswer: 0.3, 0.8, 17, 119872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-104))\/(1\/(-2) + 29\/(-58))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 416157766.0000001 - 416157744. Let l = a - 22. What is l rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120*o**3 + 430*o**3 + 338*o**3.\nAnswer: 1888*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -9209*v + 9206*v - w, 0 = -5*v + w + 62 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/5 - 3364*l**4\/5 + 245946*l**3\/5 + 479088*l**2 + 7368381*l\/5 + 7459452\/5 = 0. What is l?\nAnswer: -3, 84, 3289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154.37 - 152. Let t = 0.63 + j. Which is the biggest value? (a) -1 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*z = 51 + 1061 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1168 - -1179. Solve 4*w - 21 = q*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 132.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -79, -160, -241, -322?\n\"Answer: -81*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 194951 (base 10) to base 15\nAnswer: 3cb6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k + 10688 + 16920. Does 15 divide k\/18 - 12\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -97, -0.1, -0.4, -4\/1099, -1\/6?\nAnswer: -4\/1099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158 and 9559?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/6 + 269*a\/6 + 133 = 0.\nAnswer: -266, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/14)\/((-310)\/(-651)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**2*z)\/z)\/z)**(-39\/7)*(z\/z**(-1\/2))**(-9\/2)*(((z**(-2\/5)\/z)\/z)\/z**5)\/((z**(-1\/4)*z*z)\/z)**43 assuming z is positive.\nAnswer: z**(-1234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 570091360 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y - 500. Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47875\/28 greater than -1709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5932 + 21*z**3 - 5932.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + 7.88. Let i = -14 + g. Let s = i + 3. What is the closest to 1 in s, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4\/6 + 154\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 9. Let u be d(4). Let l = u - -8. Suppose -45 = -l*j + 3*h, 4*j = -6*h + 3*h + 74. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 + -111. Suppose 0 = x + 3*y + 5, -4*x + 5*y - m = 4. Let s(i) = i**2 + 5*i - 1. Calculate s(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a factor of 4129462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12428\/7 or -1774?\nAnswer: -1774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3886*y + 1248*y + 7815*y to x*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 5*j = 78, 0 = -4*r - 4*j - 60. What are the prime factors of r + 16 - (-44 + -1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 2*h**4 - h**4)*(-8 + 23 - 12)*(h + 3 - 3).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133193467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7259452391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxxl when four letters picked without replacement from {a: 1, l: 2, x: 4, c: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Let k = 47\/122 - -7\/61. Factor 0 + 0*q + 1\/4*q**3 + k*q**w.\nAnswer: q**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 6. Let u be 1 + -1 + (21 - 2). Does 4 divide m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169717720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5) + 96\/5. Suppose 0 = 4*w + 1 + t, 5*a = -w + 130. Calculate the greatest common divisor of a and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrdedfffrdrrj. What is prob of picking 1 f and 1 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 82.13463 days?\nAnswer: 7096432032000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/205120515?\nAnswer: -2\/205120515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66768798959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (10 + -4 + -8)) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(98) + -1 + sqrt(98) + sqrt(98))*-2)**2.\nAnswer: -4200*sqrt(2) + 88300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 55 - 55 to u + v*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfnvntnntn. Give prob of picking 1 t and 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-462)\/187)\/(51\/(-578))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -7*c + 17*m - 76, c - 5*m = -301 + 279 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 3*g**2 + 2. Let f be x(3). Suppose -a + 27 = -3*p - 2, 5*a + f*p = 179. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 - n. Let t(k) = 3*k**2 + k + 1. Let q be t(-1). Suppose -5*w = 4*o + 2, -q*o + 0*o = -w + 11. Suppose -w*y = -5*y. What is r(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -8)*(5 - 3). Suppose -u = -x + 14. Let z be 50\/7*-2*u\/10. Is z > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -31. Solve -r + z = 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 357462 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/373 in -15.63, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - g + 43313, -2*g + 0*g = 3*p - 25985. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 1:42 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*m**3 - 1)*(2360*m + 43*m**2 - 2360*m + (5 + m**2 - 5)*(5 - 3 - 3)).\nAnswer: 126*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-19)\/(-1520))\/8.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23.6 * 11\nAnswer: -259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/5)*w**(-9)*(w*w**(-6))\/(((w\/(w*w*w**(-2\/11)))\/w)\/w))**(-10\/3) assuming w is positive.\nAnswer: w**(1076\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 - -1)*-2 + -3)*25. Let j = 58 - p. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 9*t + 5. Suppose -2*a + 19 = -3*w, a - 1 + 19 = -4*w. Let p(j) = -4*j + j**2 - 6*j**2 + 4*j**2 - 2. Give a*b(r) + 5*p(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 155388263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3261904 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76861*n**3*w**2 - 3*n**3*w - 6*n**3 + 3*n**2*w - 4693*w wrt w.\nAnswer: 153722*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)*h)\/(h\/((h*h**(-2\/7))\/h*h))*h**(-2\/15)\/(h*h**(-6))*((h\/h**(1\/4))\/h**(-1\/5))**(-5\/14) assuming h is positive.\nAnswer: h**(599\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1956069 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 424805484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2963098 times 17?\nAnswer: -50372666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5079, -0.4, 5, -3, 21, 2\/13 in descending order.\nAnswer: 5079, 21, 5, 2\/13, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-266) - 363\/1463. Let l = -43 - -49. Which is the closest to -2? (a) k (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 smaller than 15662\/1239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2512145 - 12?\nAnswer: 2512133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(1 + 2) - -5. Let o = -58 + 61. Let c be k*(27\/6 - o). Is -1\/11 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 4*j**4 + j**3 + 8. What is the third derivative of v(f) wrt f?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 136*p**2 - 34*p**3 - 7*p - 158*p**2 + 41*p**2 - 19*p**2.\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**2 - 40*f - 27*f**2 - 26*f**2 - 14*f**2 - 2 wrt f.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25674 is divided by 1349?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 + 40*q**4 + 28*q**3 - 72*q**2 = 0. Calculate q.\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r - 7020. Let f be r\/90 + 2\/(-5). What is the units digit of (-10)\/3*24\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 513 + 118)*(2*x - 3*x**4 - 2*x).\nAnswer: 825*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041803691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 3. Let z be u(7). Suppose -24 = -2*l + z. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*q - 12. Suppose i = -4*i - q. Let v be 3\/(-3) + (2 - i). Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36263196 times -3?\nAnswer: 108789588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 39. Is -33 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517 and 660.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4167442350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1156, -1\/8, -5849 in decreasing order.\nAnswer: 1156, -1\/8, -5849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564 divided by 34.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*b - 10, 4*a + 12 = -13*b + 14*b. Let u(r) = -11*r**3 - r**2 + r + 4. What is the remainder when u(a) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/9325 and 31\/29840.\nAnswer: 149200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2157331102 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 96 = 4*d, d = 8*n - 10*n + 11. Calculate the highest common divisor of d and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -245?\nAnswer: -8\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q + 29. Suppose -j - 18 = j + 2*a, 0 = -j + 2*a + 3. Let s be d(j). Solve -s*c = -c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*c + 54, -c = 4*q - 2*c - 50. Calculate the greatest common divisor of 372 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1181\/7 - -169. What is the closest to k in 1\/3, 4, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 1. Let r = -8 - v. Suppose r*s + 967 = 3051. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35197, 70394, 105591, 140788, 175985?\nAnswer: 211182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(-4)*(84\/(-147))\/((-11)\/((-1309)\/17))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 635.\nAnswer: 634.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 1 - 37 = 0. Let s(d) = 16*d - 5. What are the prime factors of s(o)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 90 from 537579.\nAnswer: 537489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let v be 3 - (812\/(-36))\/(-7). What is the third smallest value in j, v, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4147948798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 + 88*s**4 + 4*s**3 + 63*s + 243?\nAnswer: 40*s**3 + 1056*s**2 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 343 + -1031\/3. Let t(p) = 2*p**3. Let o be t(-1). Let j = 3 - 2.7. What is the nearest to b in o, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 8 = 4*x, -4*h + 7*h = 4*x + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l - 7. Suppose 4*q + 10 - 19 = -5*z, 3*z = -3*q + 6. Let y(t) = -t + 1. Calculate z*j(k) + 5*y(k).\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewwkneqeknekwwke. What is prob of sequence qnnw?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.6 + 25. Let m be (2 + 0)*(-1 - -4). Let t be ((-1)\/13)\/(m\/(-12)). Which is the third smallest value? (a) 2\/7 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = 5*t - 408. Is (6 + -9)\/(-1*3) + t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 78 = 4*c + j, -c - 5*j = 21. Let z = c + 52. Suppose -z*f + 23 + 10 = 0. Solve -f = -2*y + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1911 - 0.5511. Which is the nearest to 2\/5? (a) 2 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qww when three letters picked without replacement from {w: 5, j: 2, z: 3, q: 9}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*g + 148*g = -330. Calculate the remainder when g is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29332 times 111?\nAnswer: -3255852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 44 = 5*i. Let u be i*12\/80 + 114\/10. What is the greatest common factor of 60 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.072 and -3.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17267771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811 is divided by 123.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092822, 1092816, 1092810, 1092804, 1092798, 1092792?\nAnswer: 1092786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 76095 (c) -1 (d) -4 (e) 2\/57 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkuzurzkcckkkccr. What is prob of sequence kzkc?\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*i + 5*i - 85 = 0, 0 = -5*i + 25. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3*(-24)\/(-360)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 1. Suppose 0 = -5*g + z + 165 + 39, d*z + 77 = 2*g. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnn when four letters picked without replacement from {n: 11, r: 1, q: 2}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678747 is divided by 3610?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/21 (b) -3 (c) -6\/5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13025757521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (18 + 9 + -13 - (21 + 13)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/6, -56, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/15)\/3*5\/(-8). What is the third biggest value in 0, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 2) + 24 + 6. Suppose c - t = -3*c. Suppose -9*d + c*d = 0. Solve s + 8 = k + 3*k, d = -3*k - 2*s + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 5*p - p)*(-p**2 - 1 + 1) + (-p**2 - 1 + 1)*(8*p - 7*p + 7*p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 22. Put 8, -2, m in decreasing order.\nAnswer: 8, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/38 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -23 - (2 + -2). Let t = -7 - j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**1\/n)**(3\/5)\/(n**(-2)*n\/(n*n*n*n**(-4)\/n)))**(2\/91))**(-2\/21) assuming n is positive.\nAnswer: n**(4\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 7) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in 29890, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/5 <= 12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -1825, -4096, -7275?\nAnswer: -11362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u**4 - 623*u**3 - 5064 wrt u?\nAnswer: 12*u**3 - 1869*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*t**3 + 4 + 247 + 238 - 111 + 6*t + 3*t with respect to t.\nAnswer: 15*t**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138946 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1474)\/(-5) - 0\/1. Let q = 6557\/15 - y. Let b = -3473\/24 + q. Calculate the common denominator of b and -25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -1000*p**6\/21 - 680*p**5\/7 - 215*p**4\/7 + 482*p**3\/21 - 4*p**2 + 2*p\/7 + 8. Factor i(t).\nAnswer: -2*(t + 1)**2*(10*t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 5, -1 in decreasing order.\nAnswer: 5, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16393397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64402 - -18?\nAnswer: 64420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40430 + 10?\nAnswer: -40420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3 + (-3)\/(-1). Let d = -2778.3 + 2778. What is the second biggest value in d, -3\/5, -4, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + q + 25, -3*o + o + 4*q - 8 = 0. Let l = 34 - o. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 50 + 44. Let b(p) = 1 - p - p**2 - p**3 + 0*p**2 + 0*p**2. Is b(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8416448 divided by 4208224?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 + (-8 - 2 - -71)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25340*o**3 - 347*o**2 - 4 wrt o?\nAnswer: -152040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53500 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 1. Let n be g(-1). Suppose 5*m = -2*m + 14. Let j be 3\/m*12\/9. Solve 3*r - 15 = -5*p - n*r, 2*p = j*r + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -32*y**3 + 128*y**2 - 7. Let i(t) = 33*t**3 - 112*t**2 + 6. Determine -6*g(k) - 7*i(k).\nAnswer: -39*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2329 and 274.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Let s = -55023 - -55027. Which is the fourth smallest value? (a) z (b) 19 (c) s (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 3)\/(1\/(-4)). Solve -v*k - 4 = 4*p, -4 = -p - 4*k - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 150456600?\nAnswer: 150456554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 34*a**2 - 7*a + 5. Let f(o) = -o**2 + o. Let h(k) = 3*f(k) + n(k). Suppose 7*s = 2*s + 10. What is the units digit of h(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 4*a**2 - 2*a**2 + 4*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/9)\/(6\/(-1134)). What is the units digit of (v\/(-2))\/(1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -83, 56, -1\/5, 2.7.\nAnswer: -83, -1\/5, 2.7, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -110. Let h = m - -106. What is the highest common divisor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2 + 5*n - 6. Let p(c) = -4*c**2 + 3*c - 3. Suppose -24 = 2*w - 44. Let m(g) = w*p(g) - 6*z(g). What is the derivative of m(f) wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424611540 to the power of 1\/3, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -236*l. Let b be d(0). Let q(a) be the third derivative of -23*a**2 + 0*a + 0 + b*a**3 - 1\/540*a**5 + 0*a**4. Determine m, given that q(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32771016943 - -13.43.\nAnswer: -32771016929.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -86\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -18) + 21 + -23 - 35\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540) - sqrt(60))\/sqrt(3) - sqrt(180)*-4)\/(-5*1*sqrt(250)*-3))**2.\nAnswer: 392\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 473. Let j(c) = c - 35. Give j(r(n)).\nAnswer: n + 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 6*r**3 + 40 + 51*r + 1 - 11 + 44*r. Find the first derivative of m(x) wrt x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnqq. What is prob of sequence qp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 6*c - 1. Let b be n(-6). Let k be b + 45 + (4 - 2). Suppose g + 2*t = 2*g - 14, 4*g - k = 3*t. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122220000 (base 3) to base 13.\nAnswer: 5c22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s**2 + 0*s + 9 - 121\/4*s**4 + 31*s**3. Find the third derivative of m(y) wrt y.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, t: 6, r: 1, s: 3}. What is prob of picking 2 r and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -4, -2\/3, 0.4, -0.03 in increasing order.\nAnswer: -4, -2\/3, -0.03, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**2 + 7*j**2 - 12*j**4 + 16*j**3 + 20*j**4 - 3*j**2 - 144 with respect to j.\nAnswer: 32*j**3 + 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 93720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6\/5 - 0)\/(50*(-7)\/(-34125))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + f + 2600, 4*b + 2081 = -0*b - f. Let l = b + 524. Solve -2*w - 4*o = 3*w + 32, -3*w + 3 = -l*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5159619449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 465 + 20640 = 0. What are the prime factors of d?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6383*c - 6389*c + 12772*c + 7*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1318709500937.9999952 - -1318710768492. Let i = -1267555 + z. Let o = i + 1. Round o to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2) + (-114)\/12. Let p be 2\/(m\/(-12)) + 1. Let f be p\/3 + 5 + -6. Are -7\/5 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/60 - (2\/(-43) - 2275\/11180)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -1\/4, 0.1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g - 2. Let b be k(1). Solve 0 = b*a - 0 - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 + 28*n + 8. Let v(f) = -2*f**2 + 9*f + 3. Calculate 11*v(c) - 4*z(c).\nAnswer: -2*c**2 - 13*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 12 + 36 - 2*j**2)*(4*j - 4*j + j).\nAnswer: -2*j**3 + 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50636 + -31473. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2060*k**5 - 2*k**3 + 20060*k?\nAnswer: -41200*k**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + c - 13 = 0, 6*s + 3190 = -3*c + 3220 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 25, 1?\n\"Answer: -24*h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 1.98.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67428, 134836, 202210, 269532, 336784, 403948, 471006?\nAnswer: 537940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328726563 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2860, -5777, -8812, -11965, -15236?\nAnswer: -18625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4\/5, 7 in decreasing order.\nAnswer: 7, 5, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33154 = -4*w - o - 2*o, -3*o + 6 = 0. Round w to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 x when three letters picked without replacement from gpxxixtxt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3280 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*p. Suppose 4 + 2 = -3*n. Sort -4, p, n in descending order.\nAnswer: p, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3857)\/(-87)*(-48)\/56)\/1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (3 + -2)) + 29. Suppose t = 1 + f. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.9435*1\nAnswer: -16.9435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081.\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.305 and -1143441?\nAnswer: 348749.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 29*c**3 + 5*c**2 - 36*c - 105. What is s(-4)?\nAnswer: -1737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -2*m**3\/33 - 32*m**2\/11 - 512*m\/11 - 1982. Let g(b) = 0. Calculate b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201490 divided by -2?\nAnswer: -6100745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 4*g**2 + g - 4. Let u be v(4). Suppose -4*m = -u - 16. Solve m*t + 13 - 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 6*o - 9. Suppose 5*m = 4*m - 1. Let t be (3 - -1) + (m - 0). Suppose t = d + 2, 4*f = -4*d + 28. What is w(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3806 - -6039. Suppose -r = 18*o - 29*o. What are the prime factors of o?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 11*j - 76. Calculate the greatest common factor of j and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -0.1 (c) 1.2 (d) 1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 0*n**4 + 3*n**5 + (-n - 2*n**3 + n)*(-6*n**2 - 5 + 5) + 2*n**5 - 2*n**5 + n**5 - n**5 - 5*n**5 + 2*n**5.\nAnswer: 12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.494 - 0.208. Let t = w - 0.273. Is 0.2 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 253*h*n**3 + h*n**2 - h*n*r + 1363*n**3*r wrt r.\nAnswer: -h*n + 1363*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4902*t - 4856*t - 782 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-200)\/(-92) - (-14)\/(-7). Suppose 2*k + 2*k - 4 = 0. Suppose -k = -c - 2. Is t at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -5 - (4 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2932.\nAnswer: 1\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2462887838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 6*o - 4*w + 24, -2*w = -3*o - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvgwggpwwvw. Give prob of picking 1 p, 2 w, and 1 g.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7650 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 27. Suppose u*b + 1320 = 9*b. Is b\/14*14\/2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*o + 20, 2*o - 36*x + 38*x = -8. What is the units digit of (20\/(-30))\/(o\/510)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vgvvbgbbgbcgbbbg?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*g = -48. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18058531 + -10598531. What is d rounded to the nearest one hundred thousand?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5841661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1505 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 60 = 7*w. Let r be ((-1)\/(-1))\/(1\/(-24)*w). Suppose -5*q = -3*y + 387, -493 = -r*y - 2*q + q. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**2 - 39*g + 4. Let n be m(0). Let o = -25 - n. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tifsiifis. Give prob of picking 1 f and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007662189 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 81 = -2*a - 4*u, -3*a - 4*u - 23 = 0. Let h = 14 + a. Let s be (2 - h) + -3 - 269998. What is s rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.1 + -60. Let b = -9 + n. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81, 69, 33, -39, -159?\n\"Answer: -2*g**3 + 2*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 6. Let z be k(-6). Suppose 0 = r - 7*r + 24. Let a be (-6 - 8\/r) + z. Which is greater: a or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(2\/7)))**(-25)*(p\/(p*p**(2\/3)))**(-11))\/((p**(-2\/7))**(-30)*p**(-1\/4)\/p**1) assuming p is positive.\nAnswer: p**(601\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 8) to base 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 23*y**2 + 22*y + 27. Is 3 a factor of n(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35269 and 29861?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -95*m - 4365. Let v be k(-46). Let h = 10 - 8. Let c(p) = -p**h + 3*p - p + 7 + p. Calculate c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73114 <= 73114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.09 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*(((-8379)\/(-210))\/(-57))\/(-7).\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 8 = 7*f. Let l(t) = -2*t - 8. Let q(v) = 1. Let r(n) = 1. Let y(p) = q(p) - 2*r(p). Determine f*y(o) + l(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 265*l**3 - 25. Let y be (20 + -17 + -1)\/(6\/75). Let o(m) = -22*m**3 + 2. Give y*o(j) + 2*u(j).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 53 - 19. Suppose 0 = -3*a + 33 + g. Suppose -2*u - a + 105 = 0. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 644*v + 1779. What is the hundreds digit of p(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(1470)\/sqrt(3)))\/((sqrt(12) - (sqrt(132)*1)\/sqrt(11)) + sqrt(1728)*-2).\nAnswer: -sqrt(2)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77423273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-2)*(-291480)\/(-631540)*-13*(-1)\/2\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -19 + 107. Let s = 1 - -1. Suppose -d + s = -2. Solve d*t + 1 = -v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 4) to base 10\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -178.\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 75.1*0.4\nAnswer: 30.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/6, 1036, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86078 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5111623 at least as big as -5111625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**4 + 3479*b + 67087.\nAnswer: 4*b**3 + 3479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -n + 56. Suppose -4*x = p + 4*p + 96, 5*p + 101 = x. Let j = n + p. What is the lowest common multiple of j and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -9*m + m. Let r be (m\/(-5))\/(-8) - 5\/(-2). What is the third derivative of 42*v**3 + 2*v**5 + 4*v**5 - 42*v**3 - 15*v**r wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -u - 0*f + 6, -4*f = u - 6. Suppose -4*c - u*k - 8 = -2*k, -4*k = 3*c + 10. Suppose c*h - 21 = 29. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249367, 498738, 748123, 997528, 1246959, 1496422, 1745923, 1995468?\nAnswer: 2245063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11136 + 11136 + 210*x to q*x + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23367)\/(-6))\/((-16)\/(-32)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.029.\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 5. Let h(b) = 0*b + 3*b + s - 4. Suppose -19*i + 104 = 7*i. Give h(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 408*n - 2*n**3 + n**3 - 218*n + 30*n**2 - 215*n + 71. Is s(29) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001117912021 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.1, 7, -6, -5 in increasing order.\nAnswer: -6, -5, -0.1, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, -84, -3, -13\/8?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/5 - 46*a**3 - 1407*a**2\/5 - 2124*a\/5 = 0. What is a?\nAnswer: -3, 0, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**3 - 57*b**3 - 163*b**3.\nAnswer: -199*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (5 - (3 - -2)) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by -7*16\/84*-18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = 1388 - 4303. List the prime factors of v.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -1. Suppose y = -3*l + 2*l, 5*l = 4*y. Solve y = v - 4*v + j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/4 + 1325*n**2\/4 - 331*n = 0. Calculate n.\nAnswer: 0, 1, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6618 and 1944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90970450 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 360 + 5095*q - 721 + 361 + 2020*q as i + t*q and give t.\nAnswer: 7115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:22 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0677748 rounded to three dps?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(1573)))**2 + 2*(0 + sqrt(13))**2 + (2 + sqrt(13) + -2 - sqrt(13)).\nAnswer: 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99, 26, 151?\n\"Answer: 125*t - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1804\/(-2255))\/(8\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4 + 4 - 3*q**2 - 3 + q**3 + 5. Let n be h(3). Suppose n = -4*l - 2. Are -1 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 3919520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + 8 - ((-37 - 4) + 59)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 3. Let g be h(-8). Suppose -g*o - 13 = -4*s + 61, 5*s + o - 78 = 0. Let v = -4 + s. Calculate the remainder when 47 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((-4 - 8) + 24 + -25 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 20*l**2 + 1. Let s be t(10). Let h(f) = 1 + 2 - 2. Let k(r) = r. Calculate s*h(q) + 3*k(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 3*p**2 - 1. Let y be 63\/(-18)*(-6)\/7. Let m be r(y). Let l be 5 - 3\/(0 - m). Solve 0 = -l*a - 2*a - 4*v, 2 = -2*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*s + g, -76 = -0*s - 2*s + 4*g. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-12) - ((-3 - -3) + 3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5059*o - 5073*o - 168 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 - 26*l**3\/3 - 80*l**2\/3 - 24*l.\nAnswer: -2*l*(l + 2)**2*(l + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105\/10 + -11 + 805\/2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 4*j**2 - 3*j - 4. Let k be i(3). Let c be (-2)\/(-3) - (-10)\/3. Suppose k*a - 75 = -2*o, 9*o - 4*o = -c*a + 60. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -285\/709 in -2\/9, 74, -2\/3, -3, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/590865 and -49\/550.\nAnswer: 5908650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:20 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33795018 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -317 + 321. Let x(f) be the first derivative of -5 + 0*f**3 + 0*f**d + 0*f**2 - 4\/5*f**5 + 6*f. Differentiate x(t) with respect to t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 4. Let q(o) be the first derivative of 4*o**3 - 1197. Determine i(q(j)).\nAnswer: -12*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**2\/3 - 20*w\/3 - 50\/3 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19734.\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 54 = 358. Is (1 + 25\/(-20))*n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 433633 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 8*r. Solve r = y + 1, -2*k + 5*k - 14 = 2*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -927.04 + 927. What is the smallest value in -2\/3, -2, a, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9239, 35109, 77627, 136793?\nAnswer: 212607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -109. Which is greater: -69 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-1)))**(5\/11)\/(k*k\/(k*(k**(-5\/2)\/k)\/k)*k\/k**5) assuming k is positive.\nAnswer: k**(-43\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 31. Find j, given that 154*j - 158*j - 4*j**a - 2 + 2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26417949 is divided by 279?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5571 + -3?\nAnswer: 5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 85*i - 82*i. Suppose 8*n + i*n - 40 = 0. Find a such that 0 + 0*a + 3\/5*a**5 + 3\/5*a**2 - 3\/5*a**3 - 3\/5*a**n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1. Let f(q) = -5*q - 4. Calculate f(s) + 4*t(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j - 24*j + 10*j - 4 - 33. Let t be a(-14). What is the tens digit of ((-444)\/32*-2)\/(t\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y + 6. Sort y, 4, -1 in ascending order.\nAnswer: y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32101.72 to the nearest ten.\nAnswer: -32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119893933 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -5*w**4\/8 + 2*w**3\/3 + 2*w**2. Let n be m(-10). Let q be (-4)\/14 - (-16)\/n. Sort -2\/5, 4, q in descending order.\nAnswer: 4, q, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 + 2*m**4 + 22 - 115*m + 18 as r*m**2 + o + p*m**3 + t*m + k*m**4 and give t.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 4 - 2)\/(2\/(-83)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.013 or -43\/40?\nAnswer: -43\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -620, -0.4, 1, -14 in increasing order.\nAnswer: -620, -14, -0.4, 2\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = q - 7, -2*q - 5*p = 2 - 18. Suppose -5*l + 23 = -4*k, q + 6 = l - 3*k. Suppose -l*c - 10 = -5*c. Calculate the lowest common multiple of c and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4704 and 5880?\nAnswer: 23520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*c + 0*c + c)*(-5 + 4 + 3) + c - 2*c - c - 4*c + 3*c + 0*c - 2*c + 0*c + c)*(-43*c**4 - 64*c**4 - 45*c**4).\nAnswer: 1216*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 9*u**2 - 11*u + 102. Let x be l(9). Sort 1, x, 2, 4 in decreasing order.\nAnswer: 4, x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 9*c - 4. Let g be a(4). Suppose 4*v + 3287 - 3295 = 0. Put g, -25, v in increasing order.\nAnswer: -25, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1 = -2*n - 3, -4 = -4*r. Suppose -419 = -n*w - w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62.83912 - -62.8. What is r rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 11. Suppose 2 = -4*b - c. Let p be (42\/(-2) + 1)*b. Solve -14 = 4*t - 0*x - 2*x, 4*x = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 - -165. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 1652*j + 4.\nAnswer: -1652*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7652452838 to the nearest integer?\nAnswer: 87478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 3*y + 4*y**3 - 10*y**3 + (5*y - y - 2*y)*(-1 + 1 - y**2).\nAnswer: -5*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90743 <= 90835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 0. What is the remainder when 7*2 + i + 5 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6517550 to the nearest ten thousand.\nAnswer: 6520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15805140*r**4 - r**3 + 639708358*r**2 wrt r.\nAnswer: -379323360*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69, -298, -679, -1212, -1897, -2734?\n\"Answer: -76*x**2 - x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1185 (base 9) to base 7.\nAnswer: -2405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from vvhhhvh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/(-6) - (-61)\/2 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 4*t - 2*t**2 + 4*t + (-2*t + 3*t + t)*(-4*t - 3*t + 6*t) + 3 - t**2 - 3.\nAnswer: -5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 2*c**2 - 2*c**2)*(-1 + 0 + 0)*(1 - 3 - 1).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2648*r - 150. Is n(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109862775835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g\/g**(1\/2)*g))\/(g*g*g\/(g*g**(-1\/2))*g*g))\/(g**(2\/7))**28)\/(g**1*g*g\/(g*g*g*g**2)*(g**(2\/3))**(-17)) assuming g is positive.\nAnswer: g**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 169183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90 + -97?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8763 - 8648. Solve v*r = 122*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14 = -2*w, -5*p - 4 = 2*w + 3. Suppose 0 = w*t + 4, -2*t - 34 = -2*l + l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1756352*b**2 - 196 + 196.\nAnswer: 1756352*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-24 + 17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.074, 0.242, -0.1, -1, 6.2?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = -0. Solve -4*a = a - 4*o + 23, q = a + 2*o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 1499 and 253470\/169 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iviiiiviviumquiviv. What is prob of picking 1 i, 1 m, 1 q, and 1 v?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96870.\nAnswer: 2, 3, 5, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 5 - -6*2. Let x(w) = -w**3 - 8*w**2 - 12*w + 8. Let a be x(-6). What is the remainder when 83 is divided by (19 - -2)*(c - a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.191 - -0.0055. Let p = j - 0.19. Round p to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 2723551\nAnswer: -2723567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - 36*p**2 - 181*p + 2643. Give c(18).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most as big as -891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-47)\/88*89*(-6)\/75. Let l = a + -3\/100. Calculate the common denominator of l and (-49)\/(-18) + 2 + 0.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*f + 3423 = -1377 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 + t**2 + 3*t + 1. Let w(o) = -o + 8. Let v be w(9). Let i be g(v). Find the first derivative of -4 + 4 + 7*h**i - 1 wrt h.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 950227, 950224, 950221?\n\"Answer: -3*y + 950230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 1. Let y = 5 - 8. Let u be h(y). Suppose 6*x = 4*x + u. Calculate the greatest common divisor of 18 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n, k + 4*n - 11 = 5. Let h be 16*6\/168 + (-188)\/(-14). Solve k = -5*o + h + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 + 4*u - 16. Let l be m(-3). Solve -41 - 7 = l*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5387925 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 17, 44, 81, 128, 185, 252?\n\"Answer: 5*f**2 + 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -6. Let x(l) = 32*l**2 + 23*l + 37. Let u(i) = 11*i**2 + 8*i + 13. Let c(g) = 17*u(g) - 6*x(g). Determine c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f - 119 = -3*b, -4*f - 90 = -2*b. Calculate the remainder when b is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*t - 63*t + 43*t)*(-8*t + 131 - 131 + (1 + 2*t - 1)*(4 - 3 + 0) + 0*t - 2*t + 3*t) to x + b*t**2 + y*t and give b.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 5. Let h(o) = o**2 + 4*o + 3. Let z be h(-1). Suppose z = -5*r - 4*r + 81. What is the smallest common multiple of c and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -554919 and 149266?\nAnswer: 704185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9*g + 8*g = -177, 0 = 2*n - g - 123. What is the units digit of 77988\/n - ((-8)\/(-5))\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2473, 2180, 1899, 1630, 1373, 1128?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19879288 is divided by 915.\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 129353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 4*g + 2. Let m be ((-14)\/42)\/(-4 + (-436)\/(-108)). Suppose -3*k + 49 - 1 = 3*d, 5*d = 25. Let q = m + k. Calculate o(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1595 and 5952395.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 605 + 301 = 145*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2. Let i(d) = -46*d**2 + 16*d - 3. Let k(c) = -c**2 - 3*c + 1. Let n(t) = i(t) + 3*k(t). Give n(p(q)).\nAnswer: -1225*q**4 - 35*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/20 + 7*q**4\/3 + 4*q**2 - 48*q. Let g be o(28). What is the second smallest value in -3, -5, -14, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34398\/(-612))\/21 - (-2)\/(24\/30).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005461 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 + 3. Let c(h) = -3*h**2 + 4. Let y(u) = 3*c(u) - 4*v(u). Let n(p) = 3*p. Calculate n(y(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/40 and -79\/132944.\nAnswer: 664720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/4)\/((-1)\/4). Let h = 8 + o. Suppose 2*i - 3*i - 11 = 4*b, i - 5*b = 16. Solve -5*d - i = -h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/27 - 2)*(-18)\/(-12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (17 - (-41 - -18)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043425570.\nAnswer: 2, 5, 6133, 65929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 88 + 94 - 11*k + k.\nAnswer: -10*k + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 12*a**2 + 13*a + 9*a**2 + 46 + 0*a**2. Let w be v(-7). Suppose -5*b + 11 = 4*l - 2*l, 0 = w*l + 8. Solve -b = r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a2 (base 12) to base 15\nAnswer: -1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.9 - 0.3?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13 = -5. Let o = -8 + 8. Suppose o*p - 3*p = 3*i - 30, -4*i = -q*p + 48. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14165.\nAnswer: 5, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-3510)\/(-108) - 31) - (-86)\/(-78)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**3 + t**2 + 2*t + 17. Let y(l) = -l**3 + l. Determine -q(z) + 2*y(z).\nAnswer: 2*z**3 - z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-5 - (-21 - -12). Is (-7 + y)\/((-9)\/(-804)*-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k*k**5))))\/k**(-1\/11)*k**(-1\/2)*k**6)\/((k*k**(-1)*k)**(-4\/39))**(-39) assuming k is positive.\nAnswer: k**(-75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/12 + 2*b**3\/3 - 3*b**2\/2 + 11*b. Let c(s) = s**2 - 3*s + 2. Let a(t) = -4*c(t) - 5*x(t). Give a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1.5. Let x = u - 0.1. Let i = -1 + 0.8. Put x, i, 4 in decreasing order.\nAnswer: 4, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*h = 3*h - 40, -3*h + 20 = 2*z. Let b be (30\/z)\/(2\/(-308)). What is the remainder when 20 is divided by b\/44*2\/(-3)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((a\/(a*a**0*a*a))\/a)\/a)\/a)\/a)\/(a**(-4)\/a))\/(a\/((a*a*a**(5\/4))\/a)*a*a*((a\/(a**(-3\/2)\/a*a))\/a)\/a))**(4\/3) assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10580 at least as big as 10612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 90252 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/20 + 85*h**3\/2 + 1269*h**2\/5 + 2164*h - 1. Factor n(b).\nAnswer: 3*(b + 2)*(b + 423)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 + -191. Let n = g - -95.0077. Let d = 0.01 - n. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 226\/3 + -76. Sort -5, 0.1, p in decreasing order.\nAnswer: 0.1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from cccncnanca.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1388.8 + -1389. What is the closest to 1 in -12, h, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 + 2 + -5 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/8)*w)**(-31)\/(w**(1\/26)\/w**(7\/2)) assuming w is positive.\nAnswer: w**(-2461\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - (-3434)\/51 - 1840\/(-24)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2470, -4943, -7418, -9895?\nAnswer: -12374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -22. What is the third smallest value in 0, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:44 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 63*b - 3. Let y(i) = -64*i + 2. Let r(h) = -3*q(h) - 4*y(h). Let g be r(1). Let m = g + -47. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-3)*(23310\/(-270))\/259?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = 0, 0 = 5*m + 5*y - 860 + 85. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssssbjsjsgbsb. What is prob of picking 4 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*35\/(-1225)*(-21)\/(-12)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3207, 10102, 21603, 37716, 58447, 83802, 113787?\nAnswer: 148408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + (1 - 2) - (-29 - -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 + (-8 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 13*c**2 - 14*c - 7. Let g be f(8). Let u = g + -196. Solve -11*l = -u*l - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/(-105) - 143\/(-5). What is the tens digit of (x - -2)*(-26)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -157424\/5 + 31486. Factor 1\/5*j**4 + 2*j + 0 + 3\/5*j**2 - t*j**3.\nAnswer: j*(j - 5)*(j - 2)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 224795 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -257*m - 245*m + 747*m - 252*m - 140 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 13 = 5*f, -2*x + 2*f - 11 = 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y - 839*y**2 - 37*y - 71*y**2 + 1793*y**2.\nAnswer: 883*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5112 - -5173. Solve -37*t - 120 = -q*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*5)\/((-3)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjxy when four letters picked without replacement from {j: 4, y: 2, f: 1, u: 1, x: 2, m: 2}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*g - 6 = 0, k = -0*g - g + 18. Suppose -k*w + 2 = -12*w. Solve 1 = w*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 23. Let z = -9 + i. Let f(q) = z*q**3 + 6*q**2 + 3*q - q**3 + 0*q**2 + 4*q. Let l(w) = -15*w**3 - 11*w**2 - 13*w. Determine -11*f(y) - 6*l(y).\nAnswer: 2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98906861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1287*t. Let w(o) = -646*o. Calculate 3*p(b) + 5*w(b).\nAnswer: 631*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-854*p - 86 + 851*p - 39)*(4*p + 2*p + p).\nAnswer: -21*p**2 - 875*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 591 + -221. Let h = 411 - g. Calculate the remainder when h is divided by (-3 + 2)\/((-2)\/44).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50543456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 51, 136, 261, 426, 631?\n\"Answer: 20*t**2 - 15*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.4 (b) -1\/2 (c) -3.6 (d) -7 (e) 6 (f) 1\/2 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -14) + 4\/(12\/(-9)). Solve y = 3*r + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 6:16 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 7988519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 4:32 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -33) + (-2 - 18) - (7 - 7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (7 - 138) + -29 + 45.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 100?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 10*n**2 - 3*n + 8*n. Let b = -277 - -288. Let l(y) = 15*y**2 - 9*y. What is b*w(j) + 6*l(j)?\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2 - ((-24)\/(-4))\/(-6)). Let r(x) = -x**2 + 188 - 3*x + 315 + 0*x**2. Is r(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 1\/2, 0.3, -1\/5, 91?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - (-13 + -15 - -41)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49638732 is divided by 50.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-732)\/(-80) + 2\/(-5) and -7 - 153\/(-132) - (-6 - -1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 29f7a?\nAnswer: -29f76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 198 + 177. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 69)\/(-2 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(52675\/(-70)))\/((-3)\/30*6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174127700 a multiple of 2342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 5. Suppose -d*m - 5 - 20 = 0. Let k(i) = -i**2 - 6*i - 5. Let q be k(m). Solve q = 2*b + 2*o, 5*b - o = 4*o + 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o**2 - 12*o**2 + 6*o**2 - 67 + 4*o - 17*o**2 + 37*o**2.\nAnswer: -2*o**2 + 4*o - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23574844 or -23574843?\nAnswer: -23574844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3\/4 - 195*g**2\/4 + 399*g\/4 - 201\/4 = 0.\nAnswer: -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-48))\/(2\/6))\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2269255, 4538496, 6807727, 9076942, 11346135, 13615300?\nAnswer: 15884431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6587211.\nAnswer: 3, 17, 53, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 29*x**2 - 31*x + 60. Let k be c(30). Calculate the highest common divisor of 12 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*a + 4*a + 4, -5*r + 40 = 5*a. Find the third derivative of 0*b**5 - 2*b**4 - 10*b**2 + 2*b**4 - 14*b**r wrt b.\nAnswer: -840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 782930375 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**5 - 60*b - 1084*b**3 - 40*b**4 + 545*b**3 + 594*b**3 + 40*b**2 = 0.\nAnswer: -1, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.29 or -38\/49?\nAnswer: -38\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqmaommao. What is prob of sequence oamm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -191*f - 10432. Calculate k(-74).\nAnswer: 3702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmwaqkkmqkvq. What is prob of sequence wm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517921 is divided by 390.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 + -96. Let j = i - -457\/9. Which is the second smallest value? (a) 2\/3 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137 times 0.216?\nAnswer: -0.029592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -8*c + 108. Let a be ((-2)\/(-4))\/((-3)\/c). List the prime factors of ((-32)\/(-12))\/((-4)\/a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(66)\/(sqrt(6)*1) - (sqrt(99)*-2 - sqrt(99) - sqrt(99))\/sqrt(9))*-3.\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22963, -22954, -22931, -22888, -22819, -22718?\nAnswer: -22579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -0*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3556135 - -552?\nAnswer: -3555253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -12. Let o = g - -5. Which is smaller: o or -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 108 = 14*i. Let m = i + 32. What is the remainder when 0 - (0 + (m - 3)) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/4 + (-1)\/2. Suppose 3*u - 5 - 4 = 0. Let q be (-3)\/(4\/40*-5). Solve -u*t + 3 = 0, -q*a + a = -g*t + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 187 = -5*m + 186, 3*m = 4*u - 1492. Factor 12*q**4 + 12 + u*q**3 - 23*q**2 + 127*q**2 - 437*q**3 - 64*q.\nAnswer: 4*(q - 3)*(q - 1)**2*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156035, -312971, -469903, -626831?\nAnswer: -783755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 13. Let w = 4861.2 + -4861. Which is the closest to 0? (a) l (b) 1\/4 (c) -2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -10 + 145\/20. Let i = 2.45 - 4.45. What is the nearest to x in i, 2\/5, -2\/7, 10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - sqrt(65)*2*6) + sqrt(65))\/(sqrt(720)\/sqrt(9)).\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2856*i**3 - 3*i - 96. Let l(x) = -x**3 + x + 32. Determine -3*l(d) - m(d).\nAnswer: -2853*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + (4 - 1) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2884 divided by -2\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 12. Let m be g(-13). Is 1\/6 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, 36, -5, 8303 in increasing order.\nAnswer: -5, 0, 14, 36, 8303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 7*c + 10. Let v(k) = -3*k - 26. Let g(d) = -2*d - 25. Let b(h) = -5*g(h) + 4*v(h). Let t be b(13). Let r be a(t). Solve 2 = -r*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9140, -8966, -8792?\n\"Answer: 174*i - 9314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c + -2c?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**8\/960 + p**5\/30 + p**2. Let m(j) be the third derivative of g(j). Is m(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-122*k - 143*k + 217*k) + (-2*k + 2*k + k)*(0 + 3 + 0) + 4 - 4 - k - 2*k + k + 3*k + (-3 + 3 + k)*(1 + 0 + 0).\nAnswer: 53*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*x = 15*x + 112 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - 5*k + (1 + 0 + 0)*((-3*k + 0 + 0)*(-3 + 1 + 5) + 0*k + 11*k - 4*k) + (1 + 2*k - 1)*(4 + 0 - 2).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11132?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071 + 389477413?\nAnswer: 389480484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6298 is divided by 1833?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 + 3*s - 36)*(-15 + 19 - 21) in the form g*s + p and give g.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0182925353 to six decimal places.\nAnswer: -0.018293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56077936 to 2 decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 593, -154, 5, 0 in descending order.\nAnswer: 593, 5, 1, 0, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*1*-3 - -6*(-1*sqrt(77) - sqrt(77)))\/(1*sqrt(448)*4).\nAnswer: -7*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68807 - -17752183\/258. Let q = 450886 + -4057976\/9. Calculate the common denominator of g and q.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and -4121.\nAnswer: -1318.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - 3 - -25 - -34?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -65, -2967.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2324314124 (base 5) to base 13\nAnswer: -113a9a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 12. Let z = -5 + d. Sort -5, 1, z in increasing order.\nAnswer: -5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 12:26 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(4\/3)*l))\/(l**(15\/4)\/l))\/((l*l\/((l*l\/l**(-15))\/l)*l)\/l*l)**9 assuming l is positive.\nAnswer: l**(1355\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -30, -34, -26, 0?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 4*o + 6. Let f be r(5). Let b = f + -4. Let k = 0 + b. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most -2081771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/9 - 143878*f**3\/9 + 143882*f**2\/9 + 143878*f\/9 - 47960\/3 = 0.\nAnswer: -71940, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2309, -2257, -2203, -2147, -2089?\n\"Answer: m**2 + 49*m - 2359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p + 2. Calculate r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4610, -9132, -13642, -18134, -22602, -27040, -31442, -35802?\n\"Answer: l**3 - 4529*l - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 10 = 12*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1870\/(-1210)*28\/(-34).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 10*c**2 + 21*c - 2. Let f be z(-7). Let d be 4\/(46\/(-22) - f). Is d >= -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.4, -112?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153596 and 20?\nAnswer: 767980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.832 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - 5363\/(-155))\/(48\/50 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13588817 to the nearest integer?\nAnswer: 3686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100 - -11012?\nAnswer: -20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwy when three letters picked without replacement from fwfyxxxxawwn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4930*y + 319. Let h(u) = -31*u - 2. Give -319*h(s) - 2*x(s).\nAnswer: 29*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -502 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1345 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8226 is divided by 4084?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + m + 2. Let s be j(-6). Let u = 0 - s. Let t = -38 + u. Solve y - t*p + 0 = -1, 3*y - 2*p = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnnw when four letters picked without replacement from wrwwnnnr?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b - 18*b**2 - 53*b + 135*b - 10*b**2 - 38*b.\nAnswer: -28*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -68de7 (base 15) to base 5\nAnswer: -41141032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(50) - sqrt(100)\/sqrt(2)*4) + (sqrt(200) - 1*sqrt(200)))\/(sqrt(1000) + sqrt(1000)*-2*5))**2.\nAnswer: -719\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184770 is divided by 300.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.71 (b) -1.1 (c) 15 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/66890 + 16724\/100335. Let j = 1 + -1. Put c, j, 1, 0.4 in ascending order.\nAnswer: j, c, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 - 985254*t**2 + 3941025*t\/2 - 985257.\nAnswer: -3*(t - 1)**2*(t + 656838)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -13*r**2 + r. Let y be k(1). Let l = -8 - y. Suppose h - 4*m = -12, -2*h + 2*m = -0*m + 6. Solve -2*d = -2*p + l + 2, -5*d = h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3967936 and 3967936.\nAnswer: 3967936","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 7168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2 + m**2 - 5 - 1 - 6*m**2 + m**3. Suppose 2*q + q - 32 = -4*k, -4*q + 36 = 4*k. Determine f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q - q)*(21*q + 7*q + 14*q) - 2 + 2 - 3*q**2.\nAnswer: -87*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 464172503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/8 + 4)*28\/36*12?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 10. Let l(t) = -t - 1. Let h(a) = -2*l(a) + x(a). Let s be h(8). Solve g + s + 19 = -5*p, -p - 15 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3362384\/7, -3 in descending order.\nAnswer: 2\/11, -3, -3362384\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikuu when four letters picked without replacement from {u: 2, v: 4, k: 2, i: 4}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 1191.\nAnswer: 1191.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -21, -43, -73, -111?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 215, 3, -55, 1, -2 in increasing order.\nAnswer: -55, -2, 1, 3, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327971716.\nAnswer: 2, 81992929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 6426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2111.5 + 2111.50000024289. Round s to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + b1171?\nAnswer: b1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -433. Suppose -4*m + o + 23 = 0. Suppose -2*t - t = -m. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15233 (base 8) to base 14\nAnswer: 26a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 15) to base 2\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000016317 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 8*d - 1. Let r = -6 - -12. Let n(p) = -p**2 + 7*p - 1. Suppose 0 = 3*i + 5*m + 10, 3*i = 2*m - m - 16. Give i*j(q) + r*n(q).\nAnswer: -q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.05, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 smaller than 91\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z - n = -252377, z + 2*n = 252371. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6070 - 7735 = -251*g for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Suppose d = w, -2*d + 3 = 4*w - 15. Suppose -7 + d = -4*j. What is the closest to -1 in 2, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 + 3*o**2 - 4*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 12) in base 10?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.13 - -0.03. Let x = -0.1 - w. Let d = -0.11 - 0.29. What is the closest to x in d, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6*x - 712 = x, 4*r = -4*x + 1424. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3 - 5*q**2\/2 + 1. Let r(b) be the third derivative of b**5\/20 + b**4\/4 + 2*b**2 + 77*b. Calculate -5*r(v) - 6*s(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + 2*b + 3. Let f be c(-2). Let w be f - 8 - (-4 + -2). Suppose -7 = 2*q + 3*m, -2*q + w = -q - m. Solve q*y - 1 - 15 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 21. Let d(y) = 2*y**2 - y - 44. Let x(b) = 6*d(b) - 13*n(b). Let s be x(-6). What are the prime factors of (-6)\/(-8) - (s + 505\/(-4))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 6. Let j(w) = w + 2. Let x = -4250 - -4244. What is x*h(y) - 17*j(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/12 - 14\/120. Let y(m) = -m + 2. Let s(k) = -k**3 - 8*k**2 + 2. Let p be s(-8). Let f be y(p). Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336\/14)\/12*6\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8247064 to the nearest integer?\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/40)\/((-1624)\/(-10150))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96.8 - -98. Is -2\/7 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 + 3*f**2 - 3*f**3 - 1451 - f**3 - 2*f**3 + 7*f + 1435 to o*f**3 + c*f**2 + v + g*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*f - 425, -4*m + 6*m - f - 431 = 0. Is 19 a factor of (-3)\/((-435)\/m - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (55 - (1 - (-4 - 0))). Let c(o) = o**3 + 4*o**2 + 2*o - 1. Let y be c(-3). Suppose s = y*n + 13. What is the highest common factor of 90 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + sqrt(1300).\nAnswer: -4 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 + 2065 = -2*f. Let w be f\/35 - 3\/(-7). What are the prime factors of (-7)\/2*w*8\/12?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/17836*13*7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 - 80. Let j = d - -856. What are the prime factors of j?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 13 + 519. Let g = -65 + y. Let o(z) = -z**2 - 4*z - 1. Let p(m) = 2*m**2 + 7*m + 2. Give g*o(s) + 6*p(s).\nAnswer: s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1)\/(25*(-2)\/(-100))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 26*w**2 + 25*w - 42. What is z(-25)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28730 is divided by 14193.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 60, 4, 3 in increasing order.\nAnswer: -5, -1, 3, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53000002 to the nearest integer?\nAnswer: 7280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6220560*l + 4792424*l + 229251*l.\nAnswer: 11242235*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 42 = -q, 4 = i - q - 5. Let l = i - 1. Calculate the smallest common multiple of l and 2\/(-4) - (-58)\/4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -0.8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 bigger than 1340\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(1 + sqrt(243)).\nAnswer: 1 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -71*r**3 - 6*r**2 - 26*r - 18. Suppose 0 = 4*u - 2*q + 36, -5*u - 56 + 5 = -4*q. Is g(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) 12 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/5 (b) -17 (c) -1 (d) 0.05 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120061507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 0.92. Let i = n - 0.08. Let k = -0.04 + -2.96. Which is the third smallest value? (a) 2 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q**6 + 45*q**2 + 3*q**6 - 1443*q**2 + 4*q**6 wrt q.\nAnswer: 1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let d = -29 + -124. Let i be ((-34)\/d + (-38)\/9)*-1. Solve -4*x + f*a - 11 = 0, -3*a + a + 10 = -i*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l*l**(-4\/3)\/l*l)\/(l**(-1\/4))**(-46) assuming l is positive.\nAnswer: l**(-119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -188*q - 82*q + 32*q + 4760 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67126, -268510, -604152, -1074052, -1678210, -2416626, -3289300?\nAnswer: -4296232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 5:53 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986347 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.814 rounded to one decimal place?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 276010, 552065, 828142, 1104241, 1380362, 1656505?\n\"Answer: 11*f**2 + 276022*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -428 + 431. Find o, given that 7\/4*o**4 - 1\/2 - 5\/4*o**2 - 9\/4*o + 9\/4*o**b = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -107.43. Let v = -0.03 - t. What is v rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -18, -2, 1, 1535, -7\/4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + 6305768981.\nAnswer: 6305768982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 20. Suppose 3 = 2*s - o, s = -q*o + 46 - 17. What is the smallest common multiple of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 64. Let r = -28 + 50. Calculate the smallest common multiple of c and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 4*c**2 + 4. Let o be 3*(-4 - (-70)\/21). Let j be u(o). What is the smallest value in j, 0.3, 4\/13, 3\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4951419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - -150. Let q = -142 + d. List the prime factors of q.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -43, -64?\n\"Answer: -21*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 - 7*w + 1. Suppose 10*a = 5*a + 85. Let t(b) = 14*b**2 + 20*b - 3. What is a*g(p) + 6*t(p)?\nAnswer: -p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*j**2 - 6*j**2 - 72*j**2.\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, 3, -300?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 21 + 5 = 0. Which is bigger: y or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -7. Let i be (-2)\/x - 6\/(-4). What is the third derivative of -k**3 - k**i + 5*k**2 - k**2 - k**3 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*x = -246*j + 250*j - 808, 2*x + 13*j - 9*j = -40 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -35. Suppose y*b = -i + 2335, 0 = i - 3*b + 6*b - 2329. Round i to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8536 - 5135. Calculate the highest common factor of 38 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(8*6\/48))\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 13, 19, 39, 79, 145, 243, 379?\n\"Answer: o**3 - 2*o**2 - 3*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2388245.634 plus 10?\nAnswer: -2388235.634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16028 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 - 2066*d\/5 + 34920912\/5.\nAnswer: -(d - 4966)*(d + 7032)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 40, 1, -3 in descending order.\nAnswer: 40, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h - 8. Let v be n(6). Put 3, -5, v in descending order.\nAnswer: 3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 divided by 3.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -289943 less than or equal to -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -3*d**2 + 9326. Let j(v) = -387*v + 2. Calculate m(j(w)).\nAnswer: 2322*w - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556 = 40*o - 396 + 232 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*x + 2652 - 724 + 519 = -2353 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(((-30)\/(-4960))\/(108\/(-144))).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.03 and 45517101226.\nAnswer: 45517101218.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(108) + 1)**2 - sqrt(108)) - sqrt(108).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20.7 and 0.00765?\nAnswer: 20.70765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2. Let t be h(1). Suppose -t*u + 121 - 5 = 0. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 27*f**3 - 6 + 12 + 9*f**2 - 28*f**3. Let r be l(9). Solve 5*a - s + 4*s = -10, 3*s = 3*a + r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-255 - 107 + 64 - 135 + 79)*(-2 + u**4 + 2).\nAnswer: -354*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.4 (b) -465 (c) -12 (d) -44 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/17)*j)*j*j)\/(j\/j**(-2\/9))*(j\/(j\/(j\/((j*j**(1\/3)*j)\/j))))**(-42)*(j**(1\/2)\/j**(-1\/2))\/(j*(j\/j**(-2))\/j)**41 assuming j is positive.\nAnswer: j**(-16387\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68827 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 1\/42*h**7 + 0*h**6 + 0*h**2 + 0*h**5 + 0*h**3 + 1\/12*h**4 + 0 + 2*h. Find the third derivative of n(t) wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 120956.\nAnswer: -1, 9, 120956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 19827.64873 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18241521*i**2*w**3 - w**3 - w**2 - 59*w + 4450 with respect to i.\nAnswer: -36483042*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 times -0.8?\nAnswer: 9.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005064441997 to five dps.\nAnswer: -0.00506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 608310.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from dbdmelddbdlddda?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*3*(sqrt(192) + -1)*-2)**2.\nAnswer: -28800*sqrt(3) + 347400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 4 (b) -4 (c) -1 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2574 and 17988542.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621174.\nAnswer: 2, 3, 103529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**2\/2 - 2*k - 1. Let y be 1 - -3 - (-12 + 13). Suppose 0 = -5*r - i - y - 1, -3*i - 12 = -5*r. Give f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 164. Suppose -4*m = -2*p + b + 126, -4*m + 312 = 2*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -8. Let v = 23 + -13. Calculate the least common multiple of k and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22308 + 254889\nAnswer: 232581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -10 - 10\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3261 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6624 divided by 736\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-4) - 4) + 2. Let v(o) = -13*o**2 + o + 1. Give v(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -484*x**3\/3 - 1061. Let v(p) = -5*p**2. Calculate z(v(a)).\nAnswer: -12100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 16 = -2*w, 14*k - 9*k + 20 = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 8513*a**2 - 195270*a.\nAnswer: -a*(a + 23)*(a + 8490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 - 9*x + 13. Let l be v(-10). Let t be (-6)\/((-7 + l)\/2). Suppose -11 + t = -u. What is the lowest common multiple of u and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**3 + 19*q**3 - 27*q**3.\nAnswer: 33*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/30 + 7*r**2. Let b = -16 + 39. Let h(f) = -195*f + 195*f - b*f**2. Determine h(g(u)).\nAnswer: -92*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209611116 by 468.\nAnswer: -447887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a - 21*a - 21*a + 7*a in the form r*a + j and give r.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than -0.04651?\nAnswer: -39.04651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -20. Let z = -735 - -741. Find the third derivative of 3*i**2 + i**6 - m*i**2 + 6*i**2 - 9*i**z wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -750.9651 + -0.0349. Let y = h + 752. Let j be (-1)\/(-10)*(-10)\/(-4). What is the nearest to y in -0.4, j, 1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 6 - 0. Which is the closest to 2\/7? (a) z (b) 3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29 and 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -33.9. Let z = x - 0.1. Let p = z - 6. Is 0.4 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from {x: 7, b: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 14. Let a = -8 - i. Let t = 4 - 8. Are t and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1851207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (-43998)\/15 - (-3)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17591386 by 204551.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2 and -11\/816450?\nAnswer: 816450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/3 + (-2)\/3. Is 82\/4 - v\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 - 21 = 0. Let t be (-1)\/3 - r\/6. Is 1\/6 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 749 - 0?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.138 + -0.138. Let n = -28 + m. What is the nearest to n in 5, -1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x - 32*x - 33*x + 107*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**5\/4 - 63*i**3\/2 - 114*i**2 - 549*i\/4 - 54 = 0.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5553*f - 2444 - 36250 = 16836 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 192497\nAnswer: 192497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhh when three letters picked without replacement from ddhhhhhhhhdhdh?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12420917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5340 divide 1097044260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**8\/210 - 7*x**4\/24 + x**3\/2 + 3*x. Let t(m) be the second derivative of o(m). Find the first derivative of t(k) wrt k.\nAnswer: 32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2055 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-7 - (-1 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2. Let w(k) = -3*k**2 + k - 56900. Calculate w(y(d)).\nAnswer: -27*d**4 - 3*d**2 - 56900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maam when four letters picked without replacement from ammaaaaaaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s - 130*s = -54*s - 28*s - p + 18, 4*p - 39 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 13*s**2 + 11*s + 8. Let i be z(-12). Solve -5*y + 0*j = -j - i, y = -4*j - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u + 35*u**2 + 40*u**2 - 37*u**5 - 75*u**2 wrt u?\nAnswer: -740*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16442, -65786, -148028, -263168, -411206?\nAnswer: -592142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let s = q + -2.9. Which is the third biggest value? (a) -1\/3 (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20626*f**3 - 370*f**2 - 99597971*f wrt f.\nAnswer: 123756*f - 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 199124.9 milligrams in grams?\nAnswer: 199.1249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6205933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*b*f*j*k - 17566*b*j*k + 5890*b*k + f*j*k + f wrt j.\nAnswer: -3*b*f*k - 17566*b*k + f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -32. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 plus 1334679?\nAnswer: 1334785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1817 and 158.39?\nAnswer: -287794.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 32. Let b be (z\/5)\/((-19)\/(-95)). Suppose 2*t + 3*t = q + 184, 4*t = b*q + 144. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 54*g**2 + 434*g + 6. Give c(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 18, b: 1}. Give prob of picking 1 b and 3 m.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 12 = -13*s. Let k be 51\/s + (-5)\/20. Find the third derivative of -g**4 + 0*g**4 + 4*g**2 - 2*g**k wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + -2)*-1)**2 - sqrt(612))*5.\nAnswer: -150*sqrt(17) + 3080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -56?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0407 - -8.7407. Which is the nearest to 0.1? (a) q (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103 - 0?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 35*v = 16797. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Suppose -t = -w*t + 50. What is the greatest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2899 - 1398. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -26. Solve 3*b = m - 0*b + 14, 2*m + s = -b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x - 1603 - 2743 = -41*x for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/7*(-84)\/24. Factor 36*z**4 + 67*z**2 + 15*z**3 - 95*z - 41*z**4 - 100*z**3 + 118*z**w.\nAnswer: -5*z*(z - 1)**2*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9600, -38653, -87144, -155073, -242440, -349245, -475488?\nAnswer: -621169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 9, -3, 0 in decreasing order.\nAnswer: 9, 7, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191*a**2 + 171*a wrt a?\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 3*m**2 + 6*m - 4. Let f(k) = k**3 + 5*k**2 - k + 6. Let t be f(-5). Suppose 64 = -39*j - 53. Let a be 1\/2*(j + t). Calculate d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.2. Let x(i) = 2*i**2 - 37*i - 58. Let f be x(20). Let o = 3 + -2.99. Sort f, w, o in descending order.\nAnswer: f, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - 5*q - 17. Let f be o(5). Suppose -t + f = -19. Let y be (t\/133)\/((-2)\/(-7)). Solve -4*j = -y - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.0393874 * 2.\nAnswer: -48.0787748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in 0.3, 46, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*n\/(n**(-2\/27)\/n*n) assuming n is positive.\nAnswer: n**(23\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/(4200\/24360*4\/(-50)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efff when four letters picked without replacement from {f: 12, e: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**3*x**2 + 2400*d**3 + 2*d**2*x + 83*x**2 wrt x.\nAnswer: 6*d**3*x + 2*d**2 + 166*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*a + 105*a - 24 = -4*b, -2*a + 5*b - 27 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 49c?\nAnswer: -49c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2412)\/(-134))\/(2\/(-2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 21*c + 76. Let x(u) = -11*u - 37. Let y(g) = -4*h(g) - 9*x(g). Let d(k) = k + 6. Let z(v) = 6*d(v) - y(v). Give z(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4455 divided by -1485\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 divided by -1?\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, 1\/10 in descending order.\nAnswer: 2, 1\/4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4a1124 (base 13) to base 7\nAnswer: 21033421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37005?\nAnswer: 3, 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2535421 and 2897624.\nAnswer: 20283368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 10*i - 11. Let m be b(-8). Suppose -4*y + 102 = o, 131 = m*y + 4*o - o. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20299*f - 20299*f - 34*f**3.\nAnswer: -34*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13978526 or 3?\nAnswer: -1\/13978526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181411 is divided by 1578?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/14*(-7)\/(-2). Let y(x) = x - 5. Determine y(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813700?\nAnswer: 2, 5, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 10*s - 2. Let l be h(9). Let b = l - 3. Suppose b*m - 60 = m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 8*g**4\/3 - 329*g. Let m(d) = 24*d. Determine b(m(v)).\nAnswer: 18432*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33259*p + 33293*p - 66555*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by 303.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/7)\/(4\/28). Solve 6*i - 8 = -q + 3*i, -d*i = -2*q + 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 31. Let x(n) be the first derivative of 0*n**3 + n + 0*n**2 - y + 1\/2*n**4. What is the first derivative of x(h) wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3430 - 3402. Let b(w) = 8*w + 2. What is the lowest common multiple of u and b(2)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-9753.4.\nAnswer: 292.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5115*g**3 - 908*g**3 - 4092*g**3 + 1777*g**3 - 3322*g**3.\nAnswer: -11660*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.63 take away 9964172?\nAnswer: -9964223.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c - 216. Give u(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 20*j + 48. Let l be t(22). Let k(f) = 33*f - 8. List the prime factors of k(l).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8848080 by 2949360.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 75734575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -67*t**2 - 292. Let b(d) = -10*d**2 + 2. Give m(b(r)).\nAnswer: -6700*r**4 + 2680*r**2 - 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 8*x**3 - x**3 - 14*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 27 = 3*b, 5*b + 64 = 4*g + 4*b. Let p = 101 - 97. Solve g = p*j - j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2997 + -2436. What is the highest common divisor of 102 and k?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 - d + 11 + 0*d to the form t + u*d and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32348*z - 18 + 32335*z + 32343*z - 97031*z.\nAnswer: -5*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15585 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (sqrt(3) + 1))*4 + -1 + sqrt(12) - 1*((sqrt(18)\/sqrt(2))\/sqrt(3) - sqrt(3))) + -5 + 0)**2.\nAnswer: -40*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10555*x**3 - 5854*x?\nAnswer: 63330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 - 51*a**4 - 123*a**3 + 519*a**2 + 1170*a = 0 for a.\nAnswer: -13, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9 - 89*o - o**2 + 194*o - 96*o. What is the smallest common multiple of 18 and y(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(85\/90)\/(-17)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 2. Suppose -8*c + 22 = -2. Let u(i) = -2*i - 1. Give c*g(f) + 5*u(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h - 7. Calculate the remainder when 21 is divided by k(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 33995?\nAnswer: -33995.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38573\/24 + -1607. Let g(z) be the second derivative of 1\/120*z**6 + 1\/168*z**7 + 8*z - 3\/8*z**2 + t*z**3 + 1\/24*z**4 + 0 - 3\/40*z**5. Factor g(k).\nAnswer: (k - 1)**3*(k + 1)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1613.6937 rounded to one decimal place?\nAnswer: -1613.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -281*m - 1666 - 863 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3212 + 15*i - 25*i + 8*i.\nAnswer: -2*i + 3212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3384074*q + 5*o + 24 = -3384077*q, 10*q + 15 = 5*o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176020 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 8, -2*a - 2*z = -0*z + 6. Let t = -626 + 622. Sort a, -3, t, 0.\nAnswer: t, -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5 - 39*r**4 - 270*r**3 + 6582*r**2 - 35445*r + 61425 = 0 for r.\nAnswer: -13, 5, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -368*s + 11 + 743*s - 374*s. Let x(u) = -8*u**2 + 1. Let p be x(1). Let f = -15 - p. Determine a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4766, -19509, -44220, -78899, -123546, -178161, -242744?\nAnswer: -317295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 516 + -19609\/38. Let i = q + 79\/114. Factor i + 1\/3*x**2 + x.\nAnswer: (x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 16*w + 498. Let u be d(-21). Sort -5, -2, u in ascending order.\nAnswer: -5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((57\/380)\/((-3)\/(-25)))\/((-5)\/(-3)). Let c(d) be the third derivative of 1\/80*d**6 + 75\/4*d**4 + l*d**5 + 250*d**3 + 0 + 0*d - 27*d**2. Factor c(f).\nAnswer: 3*(f + 10)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - 2781?\nAnswer: -279b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 324000 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**3*h*x - 11*f**3*h - 147*f*h**3*u*x - 830*f*h**3 - 26*f*h**2 + 2*h**2*u - 2*h**2 - 36*u*x with respect to x.\nAnswer: 3*f**3*h - 147*f*h**3*u - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q + 10. Suppose 57*s - 34*s = 92. What is t(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**8\/16800 + p**7\/2100 + p**6\/200 - 9*p**5\/100 + p**4 - 27*p. Let u(i) be the third derivative of z(i). Solve u(l) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0419335324 rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**2. Let b(t) = 15*t. Calculate u(b(s)).\nAnswer: -1350*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1077.\nAnswer: -5\/1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/4)\/15 - (-46)\/(-4). Let u = r - -35\/3. What is the smallest value in u, 4\/7, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11644213 or -11644214?\nAnswer: -11644213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 3\/4 (c) 120976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (0 - -2) - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*l**2 - c**3 + 2*c**2 + 108*c*l**2 + 40*l wrt l.\nAnswer: -4*c**3 + 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + 36*h - 3. Let j = -93 - -87. Let y be t(j). Let f = -1.3 + 0.8. Which is the third biggest value? (a) f (b) y (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 208, 212, 218, 226, 236, 248?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91999253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 4, w: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 3*o - 53 = -36, -2*p + 2 = 4*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -609 + 572 + (-9 - 0) - 41.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniiniiiitlnnt. What is prob of sequence nl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yia when three letters picked without replacement from {c: 1, y: 1, h: 3, a: 3, t: 2, i: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 6 - (-5 + 12). Let j(x) = -x**3 - 5*x**2 - 3*x - 17. Let l be j(r). Which is smaller: -26\/7 or l?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5381639*m - 30737982 wrt m.\nAnswer: 5381639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 403341 (base 7) in base 10?\nAnswer: 68433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5693?\nAnswer: 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -359197 + 6*g**2 - 5*g**2 + 359489 as y*g + d*g**2 + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 - 1167.2.\nAnswer: -1395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyh when four letters picked without replacement from {u: 1, h: 1, y: 2, n: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2785 and (50\/(-5))\/(-1 + 12\/16).\nAnswer: 22280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 = 3*n + 7*a, -3*n + 97*a = 101*a + 142 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9599587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - w + 1. Let m be f(-2). Let p be (m\/(-3))\/((-1)\/(-12)). Solve 2*u = p*u + r, -3*u + r + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48408850 to the nearest integer?\nAnswer: 6958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 17*b**3 + 29*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 + 3*j - 2. Let s(f) = 2*f + 1. Let k(n) = -s(n) + t(n). What is the second derivative of k(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*h + 4*s, 2*h - 4 = 14*s + 68 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9644b (base 13) in base 16?\nAnswer: -4227a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 12*n - 8. Let h be w(-3). Solve -2*a + 7*a - 4*d = 5, -a - 5*d = -h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6415, -25818, -58153, -103420, -161619, -232750, -316813?\nAnswer: -413808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 6727.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 e when three letters picked without replacement from yei.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 32. Let y = t - -15. Solve -y*n = 16 - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -3. Let t(z) = 4*z**l - 1 - 20*z**2 + 8*z**2 - 3*z + 9*z**2. Let v be 0\/(-6) + 3 + -1. What is t(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1948159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18865303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -631 (b) -1 (c) -5 (d) 3 (e) 144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 15*v**2 - 18*v - 5. What is x(16)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23807662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h*q**3 - 2*h*q**2 - 2*h*q + 117266475*q**3 - 7319123*q wrt q?\nAnswer: 18*h*q - 4*h + 703598850*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -70\/3*w**3 - 5\/12*w**4 - 375\/2*w**2 + 132*w - 1. Solve z(v) = 0 for v.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19730 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 17 = -7. Suppose x = -4*b + 55, 237 = 5*x - b + 2*b. What is the remainder when x is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -781 - -39833\/51. Let d be (-6)\/(-153)*502\/8. Let j = d + t. Which is the smallest value? (a) -5 (b) j (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 15*u**4 - 441*u**3 + 2997*u**2 + 5265*u - 24300 = 0?\nAnswer: -3, 12\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5433.062 - -5433. What is the nearest to -10 in b, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*v + 22, -n + 6*v - 5*v - 21 = 0. Let b be 108\/(-8)*n\/12. Solve 19 = 5*l - 4*c, 5*l + c - 4*c = b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbmpbpb. Give prob of sequence bpb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**16\/b*b**(8\/9))\/(b\/(b*b\/(b*b*b**(-2\/13)))*b**(-1\/2)) assuming b is positive.\nAnswer: b**(3871\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496 + -490 + 2 + (1 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q, 5*q = -2*z + 10. Let r be (2 - 3)*3\/(-3). Let s be (-7 + 7)\/(r*-2). Solve -f - z = -s*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100011 + -10?\nAnswer: 111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -261\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -692 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*b - 38*b + 187*b = -70*b - 11041 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -19 - (-1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 29 + 105 = 0, 4*a - 53 = -0*a + 6*h + 49 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-5)\/(-5) + (-94)\/(-16)*1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -500.8966*-0.7\nAnswer: 350.62762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*i - 35*i + 106*i + 41 to the form z + n*i and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24) + (7 - (13440\/(-54))\/(-35)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 17 + (13 - 15) - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 2 - i**2 + 5*i**3 - 4*i**2 - 4*i**3. Let p be u(5). Let d(r) = 9*r**2 + 2 + 2*r**2 - 2*r - 10*r**2. What is d(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 7 + 7*v + 3*v - 2. Let b be k(9). Suppose d + 0 + 3 = b. Are d and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255708404 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 220?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5 - -7) + 2 - -6) + -1 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.7 + 4. Let f(z) = 4*z**2 - 4*z - 169. Let i be f(-6). What is the nearest to -1 in a, -3\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - c + 5*c + c + 3 - 3 + 2*c + 1 - 1 + (1 + 2 - 2)*(2*c - 4 + 4) - 4*c + 2*c + c + c - 2*c - c + 4*c + 7*c + 4*c in the form g*c + d and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 - 2 = 0. Suppose -5*u + 4*j + 8 = 0, 3*u = 5*j - j. What is the highest common divisor of u and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7935, -16038, -24139, -32238, -40335, -48430, -56523?\nAnswer: -64614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 + 537*g**2 + 6930*g = 0. Calculate g.\nAnswer: -165, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 210212201 (base 3) in base 8?\nAnswer: 37115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -2*y**3\/3 - 3*y**2\/2 - y - 1. Suppose 17 = 4*d + 5. Let l(x) = -2*x**2 - d - 2*x - 1 + 3. Calculate 2*c(u) - 3*l(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*j = -3*j + 3, 0 = -3*l + 2*j - 2. Let y = -4 + l. Is 448 + ((-12)\/(-1))\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.83333+0.02\nAnswer: -0.81333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:55 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.090661 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1258 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11281 and 778?\nAnswer: 22562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -35.1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838243.\nAnswer: 11, 167113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -58*f - 74. What is r(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**2 - 1346 + 12*h**2 - 27*h**2 - 2016 + 164*h + 9*h**2 = 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + b. Suppose 2*k + 1128 = -b*k. Calculate the common denominator of -75\/4 and (-1 - k\/(-4))\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772954085 to the nearest integer?\nAnswer: 27802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*r - 8361 - 1080 = -276 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7586474326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/((-3)\/(-3) - 4). Solve 3*a + 4*o - 23 = -2*a, 3*a - 2*o = s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000135467708 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 8 = -5*x + 22, 0 = d - 5*x - 36 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -918*w**2. Let x(q) be the third derivative of q**4\/24 - q**2 - 484. Give a(x(d)).\nAnswer: -918*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 39.41, 0.5, -1, -1\/4, -3?\nAnswer: 39.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (7 - (-2 + 24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5883964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/2 - (-4)\/8. Let q(n) be the third derivative of 0*n**3 + 1\/40*n**6 + 0*n + 1\/20*n**u + 0*n**4 - 1\/70*n**7 + 0 - 1\/112*n**8 - 4*n**2. Factor q(s).\nAnswer: -3*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 50. Calculate g(34).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqzceqgzcmzzezmezcm. Give prob of picking 2 q and 2 e.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 146 = -8*n, -5*m + 0*n - 15*n + 59 = -12*n for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3368318616*g + 6736637227*g - 3368318615*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 + 26*z**4 + 5*z**3.\nAnswer: z**3*(z + 5)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g**1*g*g)\/g**(-4\/9))**(2\/55))**42 assuming g is positive.\nAnswer: g**(1624\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318*j**4*s + 273288*j**3*s**2 + 2*j**2*s**2 - 14*j**2*s + 2*j*s**2 + 2*j*s + 7493*j wrt j.\nAnswer: 7632*j*s + 1639728*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88220*d**2*w + 19750*w wrt d.\nAnswer: 176440*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*o + 509*o = -1040 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/47)\/s**(15\/4))\/(s**(-30))**46 assuming s is positive.\nAnswer: s**(258743\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262 take away 28.507557?\nAnswer: -1290.507557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 31. Let q(p) = -11*p**2 - 7. Let x(f) = 3 + 2*f - 2*f + 5*f**2. Determine b*x(d) - 3*q(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2365 and 32840863.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1.15?\nAnswer: 5.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 3:01 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 4, v: 1, w: 1, h: 3, d: 2}. What is prob of picking 1 v and 1 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2940486919 and 572.2?\nAnswer: 2940487491.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 373*q + 3360. Let p be l(-9). Solve -4*v + 3*w + 36 = 28, -3 = -3*v + p*w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 + 7*c - 11. Let n be y(-7). Let g = -37 + n. Let m be 15\/g - (-2)\/2. Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -29, -44, -73, -122, -197, -304?\nAnswer: -449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, 3, -11, -31?\n\"Answer: -3*a**2 + a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 divided by -7345?\nAnswer: -283\/7345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-20) - 0)*-5. Let x = -1.7 + 2.7. Which is the nearest to x? (a) i (b) -1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-63) - (-738)\/81\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-43)))\/(b**(13\/3)\/b) assuming b is positive.\nAnswer: b**(-139\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 + 5*x**2 + 7 - 3*x**3 + 8*x**3. Suppose 0 = 3*z + z + 24. Let y = z + 1. Calculate p(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 4. Let v be z(3). Let l be (-3 - 51\/(-21)) + v. Which is the second biggest value? (a) 3\/5 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1088) - ((-3*sqrt(1088))**2 - sqrt(1088))) - ((sqrt(1088)*-3 + sqrt(1088))*5 + sqrt(1088) - sqrt(1088))**2.\nAnswer: -118588 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/11 (b) -0.07 (c) -150\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26992 less than 5.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*t + 3*t, -4*q - 2*t + 158 = 0. Let z(w) = -w + 10. Let s be z(10). Let i be (3 - s)*(-4)\/(-2). What is the greatest common divisor of q and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 - 4*f**3 - f**3 + (2 - 2 + 17*f)*(-4 - 3*f**2 + 4) as k*f**3 + u*f + z + d*f**2 and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s - 5. Let d(n) = n**2 + 8*n + 6. Let u be d(-6). What are the prime factors of k(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z + 25 = 0, 5*z + 73 = -2*b. What is the units digit of b\/1*2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m**2 - 2*m - 6. Let b(o) = -1. Let x(p) = 6*b(p) - j(p). Let i be x(2). Put 0, -2, i in ascending order.\nAnswer: -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*m + 1611 - 493 = 0, 0 = 5*i + 5*m + 1120. Let r = 267 + i. What is the greatest common divisor of r and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 948*q**2 + 1902*q + 952.\nAnswer: -2*(q - 476)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132*a**3 - 24820*a**2 - 8*a - 127210879 wrt a.\nAnswer: -396*a**2 - 49640*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/3 - (1 + 1). Let x(p) = -8*p + 13*p - g*p + 4. List the prime factors of x(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 28. Suppose -y*h - h + 126 = -3*d, 0 = -4*d - 8. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*a**4 + 100*a**6 + 193*a + 37*a**5 - 189*a - 2*a**2 + 83 - 98*a**6 wrt a?\nAnswer: 240*a**3 + 2220*a**2 + 312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40019300 to the power of 1\/2, to the nearest integer?\nAnswer: 6326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from kktkktkk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666937307.\nAnswer: 691, 965177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5)*n)**(2\/119))**(-29) assuming n is positive.\nAnswer: n**(-174\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 870\/349?\nAnswer: 870\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) -4 (d) 1604 (e) -0.49 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 256.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c*d*l + 23*c*d*x**2 - 22*d*l*x**2 + 2*d*x wrt l?\nAnswer: -2*c*d - 22*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -12*r - 2250001*r**2 + 2 + 6*r + 5*r. Let x be o(-2). Round x to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 140, 197, 298, 455, 680, 985?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 74*r + 191. Determine j(5).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -0.8453793?\nAnswer: -39.7328271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1607 + 2?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2170977 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztt when three letters picked without replacement from {z: 1, t: 2, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22265614?\nAnswer: 2, 7, 17, 93553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 592*j - 35414. Give c(58).\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 1, o: 5, n: 1, z: 1, y: 1}. Give prob of picking 1 o and 1 p.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2165*(-39)\/(-936)*-16.\nAnswer: -2\/433","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -0.06, 0.5, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101490217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2279*n + 854278. Give t(473).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 55, 101, 165, 253?\n\"Answer: h**3 + 27*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34156*t**2 + 62*t**4 + 34156*t**2 + (1 + t**3 - 1)*(t - 1 + 1) to the form k*t**3 + v*t**4 + u*t**2 + o*t + f and give v.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -24 (b) -1\/5 (c) -0.3 (d) -4 (e) -0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1. Let f(k) = 23*k**3 - 1. Calculate -f(u) - t(u).\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -5 + (6 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5)*1 - (-14)\/(-5). Let g(y) = -y**2 - 4*y - 1. What is the lowest common multiple of 10 and g(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 5*p**4\/12 + 1202*p. Let n(g) = -g**2 + 4*g. Let h(a) = a + 6 + 5 - 11. Let y(c) = -4*h(c) + n(c). Give y(l(z)).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1843*p**2 + 15*p - 63. Let r(h) = 1229*h**2 + 10*h - 44. Give -7*k(u) + 10*r(u).\nAnswer: -611*u**2 - 5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757 + 778. Solve 3*b - 19 = -3*p + p, 0 = 2*b + 3*p - d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygygg. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*x = -0*x - 60, 4*x + 88 = 5*z. Solve -t + 5*t + z = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 179, 182, 187, 194, 203, 214?\n\"Answer: u**2 + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 16*q**2 - 27*q - 29. Let y be c(5). Are 469\/2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Suppose m = 5*m + b. Sort m, -2, -4 in decreasing order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 3*y. Solve y = 2*j + 3*s - 25, -2*s = -4*j - 3*s + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 14047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1\/2, 17, 2\/7, -2\/33, -2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/90)\/((-1)\/(-6)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 12*t**2 + 11*t + 2. Let y be v(-11). What is the third derivative of 13*m**6 + 7*m**2 - m**6 + 5*m**y wrt m?\nAnswer: 1440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 6, 0, -6?\n\"Answer: -6*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 16*f**2 + 4*f + 136. What is i(15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 243 = 228 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/20 - i**4\/2 + 4*i**3\/3 + 4*i**2 + 8*i. Let y be b(-7). Is 12 a factor of 35\/2 - (y + 15\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 11187?\nAnswer: 4474.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/4 - 271*a**4\/2 + 78861*a**3\/4 + 374036*a**2 - 176787520*a - 533185536 = 0. What is a?\nAnswer: -79, -3, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 - ((-106)\/6 - 2). Let k be (6\/15)\/(8\/v). Let j = -11 - -9. Sort k, j, 8.\nAnswer: j, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -20. Let n = r - -40. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 977, 1708, 2437, 3164?\nAnswer: 3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749064023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 16*n - 12 = -p + 11*n, -5*n = -2*p + 33 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12399 + 13129. Calculate the remainder when p is divided by 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1643 - -22997?\nAnswer: 21354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 916 and 4.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 204*h + 17137. Determine t(-84).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 153107 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f1fe - 8?\nAnswer: -6f206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -159225360570 to the nearest 1000000.\nAnswer: -159225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*w - 10, 0*w + 18 = 4*m + 5*w. Suppose 33 = m*i - i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80073 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 384\/5 + 42\/5*o**2 - 1356\/5*o = 0. What is o?\nAnswer: 2\/7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5875 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 435, 457, 479, 501, 523, 545?\n\"Answer: 22*l + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5991 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f + 25. Let c be r(4). Let t = 70 - c. Calculate the lowest common multiple of 14 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by 992048.\nAnswer: 89\/992048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 313 = -523. Solve p*y - 38*y + 18 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51293878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/703 or 1871?\nAnswer: 1871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43234 + 61488. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50094 - -109427. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((1 + sqrt(68) + 3)**2 + sqrt(68)).\nAnswer: 90*sqrt(17) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101357594 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuoouuuuuu?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 15 - 30)*(3*y**2 - 2*y**4 - 3*y**2 + (-y**2 + 1 - 1)*(-2*y**2 - 3*y**2 + 2*y**2)) in the form a + t*y**4 + u*y + c*y**3 + i*y**2 and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2392541 - -5.1779.\nAnswer: -2392535.8221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4041\/1346 + -3)*-8. Let v = 509437\/1346 - m. Let q = 365 - v. What is the common denominator of 91\/2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zll when three letters picked without replacement from nzzzznzellzzezezzl.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3688430.\nAnswer: 2, 5, 103, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -103*q + 307. What is k(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41488968 and 588496?\nAnswer: 82977936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 7 - 4. Let n = t - 1. Let m = 3 + n. Solve -4*q + 1 + m = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00058001 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 9*n**2 - 8*n - 7. Let a be u(-8). Let w = a + 17. Solve -i - 10 = 4*j - 4, 5*i = -w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 5 (b) -1 (c) -2\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13846.\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 267 = g - x, 3*g + 5*x + 801 = 0. Round g to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111000011001 - 101?\nAnswer: 110111000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000000101010 + -11?\nAnswer: -10010000000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8281 and 11323?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378378104?\nAnswer: 2, 13, 3638251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - j**4 + j**4 + j - j**4 - j + (4*j + 0*j - 2*j)*(-2*j**3 + 3*j**3 + j**3) - 2*j**4 - 4*j**2 + 4*j**2.\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48))**2 + sqrt(3) + sqrt(33)\/(sqrt(176) + sqrt(11)).\nAnswer: 6*sqrt(3)\/5 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 43. What is the least common multiple of b and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = -j + 21, 5*h + 3*j + 56 = 0. Let i = 22 + h. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 38*k**2 + 398*k + 19. Calculate l(-10).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11282524 divided by 11?\nAnswer: -1025684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 146537, 146677, 146817, 146957, 147097?\n\"Answer: 140*h + 146397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 15*y + 15. Let b(l) = -3*l + 1. Let c(n) = -n + 1. Let r(d) = b(d) - 2*c(d). Let h(j) = -12*r(j) - t(j). What is h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 12, 0*d + 2*d - 2*j - 10 = 0. Suppose -n - 2*n + d = 0. Let k be -51*(-4 + n) - -4. Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2662 is divided by 267.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -44045*x - 1242. Let k(f) = -847*f - 24. Calculate -207*k(p) + 4*t(p).\nAnswer: -851*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153101 - -12?\nAnswer: -153045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + p + 1110 = 0, -7*p = -4*u - 10*p + 888. Solve 75*g - 228 - u = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -4 + 0 + 6 + 24 + -50\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54410608*k**2 - 27880*k - 25\/7 = 0.\nAnswer: -5\/19516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -4. Let c be (-2)\/(-4) + 12\/z. What is the third derivative of -3*i**c + 2*i**6 + 7 - 7 wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 791 = 5*m, -3*t + 630 = 3*m + m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 + 7 + 2 + -1 + -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*z**2 + 661*z**2 + 229*z**2 + (z + 2*z - 4*z)*(-3*z + 9 - 9) to the form d + w*z**2 + r*z and give w.\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*t + 47, 0 = 2*s + t + 2*t + 74. Let k = s - -46. Solve 3*l + k = 2*z, -3*z + 6 = -l - 2*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 96 = -0*a. Solve 3*s - a = 4*l, s - 3*l = 9 + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 28*m + 54. What is the tens digit of a(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:19 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-6) + ((-125)\/(-10))\/5. Calculate the remainder when 183 is divided by (-1)\/(o\/12) - (-52 + 3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143683 (base 9) to base 6.\nAnswer: 1515333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*l = 162*l + 392. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -0.041.\nAnswer: -0.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.89 - -1.86. Let r = -1 + 0.97. Let b = l - r. Sort b, 2, -0.3 in decreasing order.\nAnswer: 2, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 26 = -14*k. Let g = k - 16. Calculate the smallest common multiple of ((-12)\/(-14))\/((-12)\/g) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, n: 5, z: 5}. What is prob of picking 2 l, 1 z, and 1 n?\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 25. Let w(g) = 5 - g**2 - 3*g + 0 - 2*g. Determine w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**9\/7560 - s**8\/1680 + s**7\/1260 + s**6\/180 + s**4\/3 - 6*s**2. Let b(c) be the second derivative of f(c). Factor b(z).\nAnswer: -2*z*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562958667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*(-63)\/6. Let p(m) = -5*m - z + 2*m + 1 + 2*m. Calculate p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 358 + -213. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6341 greater than -6340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - g - 4*g + (-g + g - 2*g)*(-3 - 1 + 2) + g + 4*g - 2*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30161058887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/4 - 49\/36. Let k = 8.8 - 12.9. Let u = k + 3.1. What is the closest to 0.2 in u, i, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -2. Let x be -2 - (-327)\/(-510)*q. Let v = 3\/85 + x. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**4)*(3 - 3 + 4)*(-4 + 3 + 0).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516632 is divided by 86104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2954558742.\nAnswer: 2, 3, 492426457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 9 = 3*r - 1, -o = -3*r - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/5 of a litre in millilitres?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288905 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-216)\/(-48))\/((-70)\/36*24\/(-112))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*6 + 3. What is the common denominator of 54\/5 and 5*1*1\/a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*w - 2 = 2, 0 = 4*g + 4*w + 4. Suppose 0 = -0*u + 3*u - g. Calculate the least common multiple of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjsbijsijjbi?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/110 and 111\/638?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - -4*sqrt(117)) + sqrt(117))*-2)\/(sqrt(9) - ((-4*sqrt(576) - sqrt(576)) + sqrt(576))).\nAnswer: -4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12847?\nAnswer: 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 + 35*g**2 - 12*g - 84. Let j be w(8). Let v(z) = z**3 - 3*z**2 - 3*z + 4. Let b be v(4). Calculate the greatest common factor of b and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 - (-3 + 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24639?\nAnswer: 3, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -992647 and -0.1.\nAnswer: -992647.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3616*r**4 - 2*r**3 - r**2 - r - 994 wrt r?\nAnswer: -86784*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -32, -33, -18, 19, 84, 183, 322?\nAnswer: 507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1)\/3 - -511. Suppose -5*f + 646 = g, -f - 3*f + 5*g = -n. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 3882?\nAnswer: -38820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*c - h, c - h - 25 = -5*h. Let r be (-1)\/((-1 - 2)\/c). Solve d - 3*d + 5*g = 0, 0 = -3*d + 2*g - r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*a**3*t**3 - 93*a**3 + 2*a**2*t**3 - a*t**5 + 2*a*t + t**2 wrt t.\nAnswer: 714*a**3 + 12*a**2 - 60*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x - 309*x - 27*x.\nAnswer: -386*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 27. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916 = -5*f + 34. Suppose -3*q + f = 40. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (42\/(-490))\/(1\/5). Let q = -0.05 - 0.7. Let n = q - 1.25. What is the closest to n in -1\/2, 0.2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 + -3.76. Sort h, -0.3, 0.4, -5.\nAnswer: -5, h, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31, -75, -167, -331, -591, -971, -1495?\n\"Answer: -4*u**3 - 16*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {a: 1, m: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0 + 173*i - 94*i - 422*i + 7. What is the units digit of n(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 b, and 1 k when four letters picked without replacement from bbkavbkvblbvklkvbbb?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 - 159030*k**2 + 954315*k - 1431540 = 0. Calculate k.\nAnswer: -31812, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -29*b - 3. Let q be (12\/(-30))\/((-12)\/90). Let s(x) = -144*x - 14. Determine q*s(g) - 14*d(g).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 18, -0.00017, 5 in decreasing order.\nAnswer: 18, 5, -0.00017, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -5, 0 in descending order.\nAnswer: 0, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 s, and 1 g when three letters picked without replacement from sssgmkmkg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 + 57*x. Determine k(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -219, -408, -597, -786?\n\"Answer: -189*r + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1250 and 6013750?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -81291*m**3 + m + 81291*m**3 - 2 - 5*m**2 + m**4 as s + t*m + z*m**2 + g*m**3 + a*m**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, 5\/6, 0.36 in descending order.\nAnswer: 2.7, 5\/6, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 45378 = 16911. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 15. Suppose g*o - 40 - 25 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -2)\/60 + 55\/50\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7588 = -5*k, 2*u = -11*k + 6*k + 3794. What are the prime factors of u?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 85 = 4*u. Suppose -5*t - u = -128. Solve t = -4*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 2*z**2 - 10*z + 34. Let v(r) = r - 1. Determine f(n) + 10*v(n).\nAnswer: 2*n**3 - 2*n**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -285.186038 rounded to 1 decimal place?\nAnswer: -285.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*-1*(1628792\/(-498))\/(-223).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 3*y + 2. Suppose -5*a = -x - 12, -7*a + 12 = -4*a - 3*x. What is m(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 2:02 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j = -3527, 0 = 4*n + 2*j - 10186 - 4030. What are the prime factors of n?\nAnswer: 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/15)\/(((-46)\/(-20))\/23)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -93*s + 91*s - 5*i, s - 65 = 5*i. Sort 1, s, -8, -3 in descending order.\nAnswer: s, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -2*u + 6*u, 5*u = w - 3. Let c(o) = 23*o**2 - 5*o. Let v(r) = 12*r**2 - 3*r. What is w*c(b) - 5*v(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 - (98 - 137 - 31).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s = 6. List the prime factors of 520\/56 + s\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d - 32. Let q(b) = -19*b + 64. Let j(x) = 5*o(x) + 2*q(x). Let u be 3 + (18 - (3 - 0)). List the prime factors of j(u).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2179590 * -4\nAnswer: -8718360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -205, -203, -201, -199, -197, -195?\n\"Answer: 2*n - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 4*k + 8. Let f be l(-7). Is f smaller than -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1266977\/255528 - 2\/31941. Calculate the common denominator of b and -43\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45888 and 85056.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -330, -328, -326?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63027 and 141?\nAnswer: 63027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**3 - 22*t**2 - 100*t - 27. What is p(-3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2122*a + 2324. Does 38 divide h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458*d + 2460*d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(3 + -3))\/(-1 - -2). Suppose 3*t + 3 = -3*b, -4*b - 4*t - 14 = -5*b. Let p be (10\/((-80)\/12))\/((-1)\/b). Solve -3 = -x*w - p*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170553 - 170553. Let p(x) = 2*x - 1. Let q be p(6). Solve z*l = 2*f + 5*l + 1, l + q = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5866.97 millennia to centuries.\nAnswer: 58669.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000335719 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/133274 and 11\/666.\nAnswer: 1199466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1111110000000010 (base 2) to base 3\nAnswer: 10021111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 2*h**2 + 4*h)*(3*h - 3*h + h) - 4*h**3 - 2*h**3 + 2*h**3 - 978647 + 978647 - 5*h**3 - 39*h to the form x*h + n + y*h**3 + z*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**7\/210 - f**6\/150 + f**5\/100 + f**4\/60 - f + 2. Let w(y) be the first derivative of v(y). Factor w(p).\nAnswer: -p**2*(p - 1)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/9 + (-2278)\/(-6). Let a = 2795 - 2524. Let p = j - a. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*s = 7*s + 5, 45 = 5*g + 4*s. Solve g*k + 0*v = -4*v + 7, 2*k - v = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73.30425 litres?\nAnswer: 73304.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178329392*a**2 - 732941823*a?\nAnswer: 356658784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(49)\/sqrt(7) + -4).\nAnswer: -8 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 26333162 and -5.\nAnswer: 26333157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -9, 11, -4 in ascending order.\nAnswer: -9, -5, -4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5 + 8*f + 6 + f**2 + 0*f + 5. Give w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/((-4)\/(-36)). Let g be 2 + (-6 - k) + 1. Suppose -f + 6 = -g*f. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33205228.\nAnswer: 2, 7, 61, 19441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p + 21 = q + 7*p, 2*q - 101*p + 102*p = 15 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 6. Let q = 0 + 2. Let r(l) = -l**2 + l + 2. Let c be r(q). What is the least common multiple of j(c) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -0.2, 55\/14 in decreasing order.\nAnswer: 55\/14, -0.2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 divided by -70?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 - (-11 + 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2199 is divided by 281.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:46 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 4. Let o be i(10). Calculate the lowest common multiple of 12 and o\/8*(-8)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.54 + -1.16. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 8*a + 5*a)*(2*a**3 - 3*a + a - 4*a**3) to the form r*a**3 + b + j*a**4 + m*a + f*a**2 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5787, 12617, 19481, 26379, 33311, 40277?\nAnswer: 47277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 25878*h**2 + h**3 + 55458*h**2 + 0*h - 29580*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:24 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - j + 3)*(-29 - 10 - 2).\nAnswer: 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.2 minus 10.55?\nAnswer: 24.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 610? (a) -0.043 (b) -4 (c) 1147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -120, 50, 220, 390, 560, 730?\n\"Answer: 170*g - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 2*g + 12, 602547*g - 602553*g - 78 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = 4*g, -14 = -3*g - 24*p + 19*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2*n**3\/3 - 64*n + 11049. Calculate w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -1)*4)**2*-6.\nAnswer: -58848 + 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 4*u + 227286 = 227246, 0 = -u + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - z - 1. Let c be f(3). Which is smaller: -14 or c?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24692 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose -5*h + 3*k + 24 = 0, 3*k = 2*h - 14 - 1. Find q, given that 707*q**2 + q + h*q - 709*q**y = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 3*p + 10, -2*w = 2*p + 2. Let s = 29 + -29.17. Is p at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 397, -3\/5, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12441 - -1?\nAnswer: 12442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 35*q - 42. Let k(l) = 7*l + 1. Let a(j) = 15*k(j) + 3*o(j). Let w(c) = -2*c**2. Calculate a(w(h)).\nAnswer: 24*h**4 - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 7\/3*t - 7\/3*t**4 + 5\/3*t**2 - 2\/3*t**5 - 5\/3*t**3 + 2\/3 = 0. Calculate t.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:53 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 348, 3, 4, -5 in decreasing order.\nAnswer: 348, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*u, 38499*u - 3*l = 38495*u - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98.5 + 0.5. Let d = -94.1 - l. Let c = d - 4. Which is smaller: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 491305360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/375 + 71\/(-50))\/((-48)\/64)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) -402355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 4396.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.044 + 2.856. Let h = f + 0.2. Let v = h + 0.9. Which is greater: v or -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 101. Solve k = -2*k - 4*j - z, 2*k - 5 = 3*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636659 is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6997 + -8930. Which is smaller: p or -1932?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -46*x + 47*x + 1102, 0 = -3*s - x + 823. What is the least common multiple of 55 and s?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(7\/3)\/((m*m**(6\/7)*m*m)\/m))**42)**7)**46 assuming m is positive.\nAnswer: m**(-7084)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945 a factor of 1525597705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -5*s + 5*b, -5547*s + 5*b = -5546*s - 35 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*y - 70 = 0, 3683*z = 3683*z - y - 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6) + 10\/4. Let v(q) = -q**3 - 6*q**2 + 8*q + 11. Let o be v(-7). Suppose -o*k + 24 = l*k. Solve d + 3*d - k = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 70\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(7) - (sqrt(252) + (2*sqrt(252))**2)) + -5 + sqrt(63) + -2 + (2*sqrt(252) + sqrt(7))**2 + 1.\nAnswer: -sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 8. Let b be l(-6). Let u(q) = 4*q**b - 6*q - q**2 + 4 - 2*q**2. Let p be u(6). Solve m + 15 = -p*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**2 + 25*w + 12. Let n be d(-10). Suppose 4*v = 2*x + n, 6*v + 4*x = v + 196. Calculate the greatest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 207740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-3)*(-2)\/(-4))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.44 - 38.74. Put b, 6, 8\/5 in decreasing order.\nAnswer: 6, 8\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -181. Suppose -4 = 19*q - 20*q. Suppose -q*p - 16 = -60. Calculate the remainder when j is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 5*z + 18*z**2 + 51*z**2.\nAnswer: 69*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680 = 2*i - 706. What is the greatest common divisor of 11622 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135 - 1696*q**2 - 276 + 141 to the form w*q**2 + j*q + x and give w.\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/30)\/((12\/(-18))\/(16\/40))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b7 + -1a?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -1)*2\/5. Let v be (-278 - 2) + 0 + 0. Let b be 2\/9 + v\/(-36). Solve i - 3 = a*y, -b*i + 3*i = -y + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 divided by 4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -12. Let c be (22\/3)\/(p\/9). Solve -3*y + 19 = -4*l, 4*y - c = l + 2*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*p - 130 - 195*p - 127 + 231 + 89*p.\nAnswer: -2*p - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1692 = -128*t + 356. Solve 0 = 3*f, -18*p + t = -14*p - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.6973 weeks in minutes?\nAnswer: 813428.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -9*y**2\/2 + 18*y + 313. Let p(x) be the third derivative of x**4\/24 - 6*x**2 + x. What is p(n(a))?\nAnswer: -9*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-298)\/5)\/((-1386)\/(-110)). Let s = 40\/9 + y. Let h = -4 + 1. Put 1\/2, h, s, 10 in ascending order.\nAnswer: h, s, 1\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q**2 - 575*q + 2. Let p(u) = 9*u**2 - u - 1. What is c(t) + 2*p(t)?\nAnswer: -2*t**2 - 577*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19010 * -0.2.\nAnswer: 3802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 12) to base 11.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.69 - 18.6. Let i = 0.49 - 0.4. Let z = i - b. Is z at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11427.\nAnswer: 3, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-1)\/((-1)\/4605*3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2051967 and -44.\nAnswer: -90286548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1, 42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5803, -16379, -31729, -51853, -76751, -106423?\nAnswer: -140869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1110541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22698899881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 2*w - 1. Let r(q) = q**2 + 3*q - 1. Give -4*j(c) + 3*r(c).\nAnswer: -c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -257385061071618.\nAnswer: -257385061071618.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*j - 30. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 792 - 792.0433. Let y = r + 0.043007. What is y rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.2077.\nAnswer: -0.4154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83 by 1.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t\/(t**(-2\/17)\/t)*t)*t\/((t**4\/t)\/t))\/(t**1)**(7\/4))\/(t\/(t**1*t)*t**(2\/3)*((t\/(t*t**0*t))\/t)**(1\/54)) assuming t is positive.\nAnswer: t**(-11929\/1836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 + -126. What is the units digit of (-56)\/j - (-3 - 56\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 28 - 23 = -3*x, 2*x + 40 = 3*t. Solve 0 = -v + 3*q + 1 + 10, 5*v - 2*q = -t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 1)\/(1\/2). Let h be ((-40)\/(-6))\/((-1)\/(-3)). Calculate the greatest common divisor of h and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Suppose 0*g + j*g = 0. Solve g*u - 20 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106 - (143 + -23)) + 71 + -4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Let o(q) be the first derivative of -3*q**4\/2 + 96004. Let z = -5 - 0. Let m(x) = -3*x**3. Determine g*o(t) + z*m(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42\/5 in 2\/15, -4, -2\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -34, -4 in increasing order.\nAnswer: -34, -4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14\/5 + -32\/15. Factor s**4 - 1\/3*s**2 - x*s + 0 + 4\/3*s**3.\nAnswer: s*(s + 1)**2*(3*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 201?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 103300021033?\nAnswer: -103300020300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6 + 6. Suppose -3*z - 53 = -3*x + 2*z, 5*x + z - 51 = 0. Suppose x = 5*i + m, i - 4*m + m - 15 = 0. Solve -i*v = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 1.1. Suppose 80 = -5*r + 25*r. Which is the biggest value? (a) -0.3 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -5*o - c, -5*o - 2*c + 190 = -o. Solve -35 = 7*p - o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/10 - (-8)\/10. Solve 0 = f - x + 1, 0 = o*f - x - 3*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 291 and 134733.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*k + 49*k + 18546. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1381*g**2 + 1375*g**2 + 124*g**2.\nAnswer: 2880*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, l: 3, f: 3, h: 6}. Give prob of picking 2 l and 2 f.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 27 + 7*a + 0*a - 3*a to the form d*a + x and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -763436 in 0.09, 5, -6, 0, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (78\/7)\/((-25)\/(-175)). Suppose -20*z = -22*z + l. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-3))*m)\/m**(3\/2)*(m\/m**(2\/7))**(-1\/28) assuming m is positive.\nAnswer: m**(485\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7411 - -7399. Put -0.1, -2, n, 9 in decreasing order.\nAnswer: 9, -0.1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18360063 and 18?\nAnswer: 36720126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 1 + 1)*(1 - 4 - 1)*(-3*h**2 - 5*h**2 + 4*h**2) to k*h**2 + j + v*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420217 + 303134 + 2407533 = 36*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 768*j - 13454. What is x(18)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110000 - 101101001?\nAnswer: -1110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.01 + -4. Let k be (-238)\/(-408)*2\/(-7). What is the nearest to -1 in 0, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**2 + w**2 + 49*w**2 - 213*w**2 - 9*w**2 + 2*w**2 + 1 - 1 + (-2*w + w + 2*w)*(w + 1 - 1) - w**2 - w**2 + 0*w**2.\nAnswer: -171*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 608 and 3800.\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 45331*u + 5666390. Determine a(-125).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 13*x**2 - x - 9. Let y be b(-13). Suppose 7*j = y*j. Let z be (-4 - j - -5)*5. Put 7, 4, z in decreasing order.\nAnswer: 7, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 245606, 245724, 245920, 246194, 246546, 246976?\n\"Answer: 39*l**2 + l + 245566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70.876 + -0.124. Let o = -73.2 - v. Let j = 2.20000545 + o. Round j to seven dps.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 179, 2.3, -11.\nAnswer: -11, 2.3, 54, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -24*j**2 - 4*j - 9. Let z be f(-1). Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1894 - 6*t**2 - 1888 + 56*t**2.\nAnswer: 50*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8961, -11893, -14873, -17925, -21073?\nAnswer: -24341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:31 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 8*b**2 + 6*b - 6. What is n(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millennium in centuries?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -11\/2*m**2 + 6*m + 0 + 0*m**3 + 7\/4*m**5 + 0*m**4. Differentiate q(y) wrt y.\nAnswer: 105*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 - 192. Suppose -204*z - 26 = -w*z. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25610491003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 divided by -74?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 55994*p + 22893060.\nAnswer: 2*(p + 415)*(p + 27582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35 - 430\/(-70)) + 16\/(-14). Solve -x*c + 90 = -110 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 9. What is w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**4\/12 + 3*x. Let c(l) = -4*l**2. Calculate c(d(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67017079709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -44550?\nAnswer: 4454b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20964078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6057140*b**3*c + 69*b**2*c + 72*b**2 + 19*c wrt b?\nAnswer: 36342840*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24016631?\nAnswer: 17, 83, 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 9*l**5\/10 + l**4\/12 - 2*l. What is the third derivative of c(g) wrt g?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*s**4 - 9*s**3 + 5*s**2 - 159*s**4 - 2 - 1 as f*s + c*s**3 + x + v*s**2 + d*s**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28422 and 261882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 6. Suppose 6*a = 3*a + 12. Let z(w) = 5*w - 5. Calculate a*z(y) - 3*t(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3898692 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 6372199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1993 + -2?\nAnswer: -1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/6 - 2603*l**4\/6 + 123607*l**3\/2 - 1392409*l**2\/6 - 3406025*l\/3 - 841036 = 0. Calculate l.\nAnswer: -2, -1, 7, 147, 2452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-19 - -7222) + (2 + -2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(-15))*t**(-29) assuming t is positive.\nAnswer: t**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 4175021301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-16)\/80)\/(-134).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -140870.48 and -102.16.\nAnswer: -140972.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4 - 3. Let w = i - 1. Let u(g) = g**2 - g + 19. Is u(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**3 + 2*i. Let a be k(2). Suppose -4*z + a = -z - 4*t, -5*t = z - 40. Calculate the greatest common divisor of z and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*i**3 + 2*i**2 - 677*i + 204451 with respect to i.\nAnswer: -45*i**2 + 4*i - 677","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.04 from -0.1.\nAnswer: -8.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25099.84 minutes to nanoseconds.\nAnswer: 1505990400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - l + 9563 = 0, -11509 + 1940 = -2*i + l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1011011?\nAnswer: 1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887849?\nAnswer: 887849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 613254 and 802?\nAnswer: 245914854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92640372 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 - 8*a**3)*(-7*a + 13*a + 10*a) + (-3*a**2 + 0*a**2 + a**2)*(-2*a**2 + 0*a**2 + 4*a**2).\nAnswer: -132*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 14 + 6, -152 = -4*w + 4*i. Suppose 3*f = -b + w + 157, 255 = 4*f + b. What is the greatest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41523 + 12545?\nAnswer: -25645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/210*(-6)\/4*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/16)\/((-102)\/408).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260395 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 3*o**2\/2 + 5*o - 21. Let y(n) = n + 2. Calculate -2*h(t) + 7*y(t).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1050.\nAnswer: -3150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 54. Let d(c) be the third derivative of -3*c**2 - 7\/180*c**6 - 1\/10*c**5 - 1\/18*c**4 + 0 + 0*c + 0*c**m. Let d(s) = 0. What is s?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5435400 to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (7 + -12) - 19) + -2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 1\/20*y**5 - 1\/2*y**3 - 13\/2*y**2 - 23*y + 19\/12*y**4 + 0. Is o(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*m + 328318, h + 4*m = 70466 + 93675. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -3 (c) 2.2 (d) 2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 26*u**3 - 34*u**2 + 34*u + 3118. Let t(l) = 9*l**3 - 12*l**2 + 12*l + 1039. Calculate -6*i(p) + 17*t(p).\nAnswer: -3*p**3 - 1045","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -1078?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 417661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660437558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -102 + (-1 - 0) + 3. Let s be p\/364 + 2\/(-13). Let a = -2.2 + 2. Put s, a, -0.4 in increasing order.\nAnswer: s, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276180391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 7103*u. Let a(h) = 3*h. What is r(a(s))?\nAnswer: 27*s**2 - 21309*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*l + 11 = 0, -369 = 4*r - 2*l - 397 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -360 + 363. Let y(t) be the second derivative of -t**3\/6 - t**2 + 4*t. Calculate the lowest common multiple of y(-7) and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 398\/(-134) - (0 - (6 + -3)). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50c4d (base 15) in base 11?\nAnswer: 165295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -835 - -1767. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 32 = -2*x, -x + 5*l = x + 13. Suppose -s = 2*a + 3, -s + x = -0*a - a. Suppose s*c + 2*c - 80 = 0. Solve 2*v - 6*v - c = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 2112021020211101?\nAnswer: -2112021020210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Calculate the greatest common divisor of 826 and 12862.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.07 - -21. Let h = -17.07 + 17. Let k = o - h. Which is the closest to k? (a) 0.5 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**7\/70 + 7*v**6\/30 - v**5\/30 - 73*v**4\/24 - 474*v**2. What is the third derivative of l(m) wrt m?\nAnswer: -72*m + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61 - -41. Let f = 46 + p. What is the greatest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-56))\/((-1480)\/1295).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14723086 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*l - 504 = 0, 36 = x + 3*l - 76. Suppose -y = -5*o + 298, -3*y - 50 = -3*o + x. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*s + 2, 3*u - 3 = -14*s + 17*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpf when three letters picked without replacement from {p: 2, l: 9, j: 3, f: 1, o: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 2*v**2 - v**2)*(-2*v**3 + 4*v**3 - 4*v**3 + (v - 1 + 1)*(v - v - 2*v**2)).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*k = -5*k - 19, 0 = -5*k - 15. Let h(t) = -3*t**3 + t**2 + 2*t + 2. Let g be h(-1). Let a be 2\/((9 - g) + -4). Sort -4, a, z in decreasing order.\nAnswer: a, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017779382 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5031, 5032, 5033, 5034, 5035, 5036?\n\"Answer: d + 5030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-6)\/(-25))\/((-22)\/(-55)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 67 + 1 = 0. Let v(q) = -q - 6. Let o be v(k). Let m be (1 - 2) + -1 + -1. What is the third smallest value in m, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/2)\/b**7*(b*b**(-7\/4)\/b)\/(b*b*b**6) assuming b is positive.\nAnswer: b**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1781402 (base 9) to base 2\nAnswer: -11110011101110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(((1*-4*sqrt(200) - sqrt(200)) + (sqrt(200) - (sqrt(200) - (-1 + sqrt(200)))*-3))*-1)**2 + 5.\nAnswer: -480*sqrt(2) + 6420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -108 + 46.9917816223\nAnswer: -61.0082183777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 6. Suppose x*b = -b. Solve 3*d - 5*s - 4 - 2 = b, -5*d + 10 = 4*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 1)*3\/6. What is the units digit of 28 + 2 - 3 - o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3188244 divided by 6\nAnswer: -531374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1595074, -3190150, -4785226, -6380302, -7975378?\n\"Answer: -1595076*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 335 or 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -36\/13 (b) 8694\/341 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43674133003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 22 = -7*x - 3*y, 4*x + 3*y - 88 = 0. Let a = -8 - -4. Sort x, a, -2.\nAnswer: a, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*j - 104, -4*c - 332*j - 5254 = -7*c + 1706 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 26. Is ((-12)\/(-18))\/(y\/1257) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - 4*q. Let t(y) be the third derivative of -y**5\/60 - y**4\/24 + 45*y**2. Calculate -a(i) + 6*t(i).\nAnswer: -3*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30552 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/105*(-1596)\/108.\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1047459, 0, -5 in increasing order.\nAnswer: -5, 0, 1047459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 236.57 - 237. Let q = 0.47 - 0.5. Let l = q - v. What is the second biggest value in l, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 3*w - 13. Let h be m(0). Let u = 67\/5 + h. Which is the smallest value? (a) u (b) 2\/17 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:28 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5)\/(17\/(-170)). Let n = 0 + 1. What is the first derivative of 4 - 20*q**4 + 21*q**y - n + 6 wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 7255 = -7305, 5*f + 3*f = g - 18*f - 263 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1544 = 2*y + 5*h - 6121, -3*h = -4*y + 9219. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**8\/1344 - u**7\/84 + 37*u**6\/480 - 4*u**5\/15 + 13*u**4\/24 - 2*u**3\/3 - 40*u**2. Let q(g) = 0. What is g?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -166 (b) 5 (c) 20 (d) -1\/6 (e) -0.04 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*x - 8 = 0, 4*y + 4*x = -10 + 38. Solve -k = y*k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -5.3.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4828869 = 52*c + 170657. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1662 is divided by 1565?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -5, 66, -3, 3, -22 in descending order.\nAnswer: 69, 66, 3, -3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28323576611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Let i(s) = -121694*s - 152. Let n be i(-6). Suppose 4*l = g + 729988, -m*l = g - 2*l + n. What is g rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 5*(1 - 2). Let r = 25 + a. Let v(n) = -n**3 + 10*n**2 + 11*n + 10. What is the remainder when r is divided by v(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Suppose 4*k - i = -0*k + 209, q = 4*k - 2*i - 206. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 5. Suppose 5*q = -3*z + g + 4, 2*q + 3*z = -2. Suppose 11 = -5*l - q*y + 1, 3*l = -5*y - 14. Calculate the highest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 24*t - 280. Let k be v(19). Calculate the highest common factor of 32 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 - 172. Let v = -1.04 + 13.94. Let z = a + v. Round z to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + 94. What is the units digit of h\/(-3)*(-45)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -77. Let i = n + -10. Let q = -27 + i. What is the highest common factor of q and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 242, 542, 910, 1346, 1850?\n\"Answer: 34*l**2 + 198*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56) - 6*sqrt(1400) - sqrt(56))*2)\/((sqrt(567) - sqrt(567)*-4)*5 - sqrt(567)))**2.\nAnswer: 50\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4178618, 8357221, 12535824, 16714427, 20893030, 25071633?\n\"Answer: 4178603*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - p - 1. Let y(t) = 5*t**2 - 4*t + 2. Let j(v) = -3*c(v) - y(v). Let h be j(3). Solve -h*s - 5 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1518\/7 + -216. What is the second smallest value in -0.04, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -153 + 261. What is the tens digit of (10\/6)\/(9\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7389, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10461066631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4740 and 85952?\nAnswer: 1289280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 452 - 325. Calculate the remainder when w is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, o: 1, l: 2, p: 6, w: 2, r: 3}. What is prob of sequence ldo?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19445 micrometers in kilometers?\nAnswer: 0.00000000019445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = 6*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 4*m + 8564, -d + 5*m + 1410 = d. What is the highest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -950 - -3801\/4. Let k = -0.02 - 0.53. Let h = -0.05 - k. Sort -4, h, i.\nAnswer: -4, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n - 290 = 0. Let z = 123 + n. Suppose 4*l - 255 = z. Does 40 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/(1980\/144).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 1 + 0*c + 1\/3*c**3 + 0*c**2. Let b(s) = -2*s**2. What is b(h(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2486 times -413\nAnswer: -1026718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/37? (a) 0 (b) -0.5 (c) -2\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 95. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 8 = 7*a. Put -5, a, 2 in descending order.\nAnswer: a, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1\/8))**(-1\/8))**(11\/4))**(-3))**7 assuming z is positive.\nAnswer: z**(-231\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -572*y**2. Let n(l) = 1908834*l**2. Determine q(n(f)).\nAnswer: -2084166221026032*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1854 + 249*v - 1854 + (-4 + 5 - 3)*(0 - 2*v + 0) - v - 1 + 1)*(v - v - v).\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-9)*a)\/a)\/(a\/(a\/a**(-2\/7))) assuming a is positive.\nAnswer: a**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 10, -604, -3, -2\/13, -12, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8\/28 - 0)\/(21\/(-49))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 81318*l + 81318. What is g(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-100)\/120 - (1 + (-4)\/3). Which is the nearest to l? (a) 78 (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*u - 1183*u - 78912 = 0 for u.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*c + 198. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10\/407 (b) -3 (c) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b1088 - 2?\nAnswer: -1b108a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/7 + 33*a**3\/7 - 75*a**2\/7 + 39*a\/7.\nAnswer: 3*a*(a - 1)**2*(a + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 17*l**2 - 5*l + 236. Determine s(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/13 - 20000*g**2\/13 + 20002*g\/13.\nAnswer: -2*g*(g - 1)*(g + 10001)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7167 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6547, 52267, 176371, 418051, 816499, 1410907, 2240467?\nAnswer: 3344371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153830*c**3 + 1989744*c**2 wrt c.\nAnswer: -922980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1)*(105\/2)\/15. Let l be ((-9)\/(-12))\/(14\/(-128) + 0). Is h smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149 - 3*l**2 + l - 46 - 4*l**4 - 7*l**3 - 47 - 56 to i*l**2 + h + d*l**3 + z*l**4 + t*l and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1143, 7, 0.4, 1\/3 in decreasing order.\nAnswer: 7, 0.4, 1\/3, -1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y + 66. Calculate r(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i - 4*i + 5*i)*(1091*i - 2187*i + 3549*i**2 + 1096*i) as r*i**3 + j + h*i**2 + o*i and give r.\nAnswer: 24843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2445 - 2446. What is the third smallest value in -7, -24, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 4*n**2 - 446*n - 898. Calculate q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1857049714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 17779 - 17680. Let h be -3*1*294\/9. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335441 - 442?\nAnswer: -340323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*j - 10 = j, -5*j = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 16 + 2 = 0. Suppose -6*i + 2*d = -i + 41, i = -5*d + 8. Let o = k + i. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9\/2*126444\/(-13878)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52185 divided by 3479.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62053 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 837, 836, 835, 834, 833, 832?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*p + 1027 - 691 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*u - 5*i, -u - u - 2*i + 4 = 0. Suppose 45 = -5*k - u*z, 4*k + z = k - 19. Find the common denominator of k and -17\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/24*(-3)\/(-1))\/((-341)\/(-1364)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9468 and 14436?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 19*u**4\/12 - 3*u**3\/2 + 337*u**2 - 14*u + 4. What is the derivative of j(a) wrt a?\nAnswer: 38*a - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19677503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:47 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2280244 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26427566156935 take away 0.06?\nAnswer: 26427566156934.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206068.489 - 209424. Let z = r + 3357. Round z to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.14 or 15920?\nAnswer: 15920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-8)\/2*1. Differentiate -9*a**2 - u + 13*a**2 + 2 wrt a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -440 or -296?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2970069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 4*d - 4. Let y be l(2). Let j(m) = m**3 - 6*m**2 - 16*m. Let n be j(y). Solve 0 + 1\/3*h**2 + n*h + 1\/2*h**3 = 0 for h.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -3, 1016992?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*q + 3, -3*j + 31 = 5*q - q. Let s(d) = d**3 - 4*d**2 - 6*d. Let a be s(6). Let y be (a\/15)\/(-4)*-5. Solve -y*z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + o**2 + o + 12*o**4 + 7*o**4 + 15 - 13*o**4 in the form b*o**4 + q*o + z*o**2 + h*o**3 + u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/3 - 19372796*y**2\/3 - 38745604*y\/3 - 19372804\/3.\nAnswer: 4*(y - 4843201)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 + 3.3. Let d = 10 - 4. Let j = d - 11. What is the closest to x in -3, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/103584 and -119\/526944?\nAnswer: 568572576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*f - 1378 + 3143 = -8945 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133377 is divided by 468?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/5)\/3 + 1 + 247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*1*3. Let g(m) = -m + 4*m - w*m. Let v(q) = -2*q - 2. Let d(a) = -4*a - 8. Let z(i) = d(i) - 4*v(i). Determine z(g(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 4. Let x(c) = 37165*c**2 - 178392. Calculate 44598*i(q) - x(q).\nAnswer: 7433*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53135383?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61292 - 76528. Let h = -12403957\/90 - y. Find the common denominator of 38\/5 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106, 673, 1698, 3181, 5122?\n\"Answer: 229*m**2 - 120*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 41. Let k = 17 + y. Solve 4*j = 3*j + k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*s**2 - 271*s**2 + 569*s**2 - 273*s**2 - 267*s**2 + 505*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 905, 1794, 2683, 3572, 4461, 5350?\n\"Answer: 889*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**8\/784 + 9*m**7\/245 - m**6\/280 - 9*m**5\/70 - m**2 - 637. Find c, given that q(c) = 0.\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**2 + 7*w - 29. Let j(f) = -24*f**2 - 15*f + 57. Let d(l) = -6*j(l) - 11*k(l). What is the remainder when d(-15) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**3*p**3 - 1634124*m**2*p**3 - 26451439*p**3 wrt m?\nAnswer: -12*m**2*p**3 - 3268248*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 655560 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*g - 7. Let o(k) = k**2 + k - 2. Let f be o(g). Suppose -14 - 38 = -f*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862469143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1587 and 7748700?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7 + 227800\/32544). Let h be (374328\/(-460))\/(1\/5). Let u = k - h. Calculate the common denominator of u and -9\/5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664 is divided by 260?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 + -1110222?\nAnswer: -1101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 0*p + 2 - 2. Let b be a(-2). Solve 3*m - b = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1249\/930 + -3\/310. Which is the third smallest value? (a) 3 (b) h (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-26))\/(7\/(-14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * -47698.\nAnswer: -114475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1826 divide 73012610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 + 4155*m**4 - 16565*m**3 + 20685*m**2 - 8270*m = 0. What is m?\nAnswer: 0, 1, 2, 827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 132154 + 63437 + 68717.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 4*n - 2. Let a be z(-3). Let s be a\/((6\/(-27))\/(-2)). Solve -s + 9 + k**2 - k**3 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (0 + 0 - (-4 - -15) - -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)*j)**31 assuming j is positive.\nAnswer: j**(217\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4696, -580 in ascending order.\nAnswer: -580, -2, 4696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2752 and -47\/8?\nAnswer: 2752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 5*w - 1067. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11437, -11431, -11421, -11407, -11389, -11367?\nAnswer: -11341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 5, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*p**2*z**2 - 9203*n**3*p**2 - 3*n**3*p*z**2 - 3*n**2*z**2 - 2*n*p - 193*p*z + z**2 wrt p?\nAnswer: -4*n**3*z**2 - 18406*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -87, -188, -289, -390, -491?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -605059*d + 1464. Let u(s) = -3712*s + 9. What is -488*u(g) + 3*y(g)?\nAnswer: -3721*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + (sqrt(77) + (6*sqrt(77)*1 - sqrt(77)) + sqrt(77))\/((sqrt(11) - (sqrt(99) + sqrt(11)))*-6) + 0 + 5 + -3)**2.\nAnswer: 14*sqrt(7)\/9 + 3259\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64867951039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106708470.\nAnswer: 2, 3, 5, 11, 323359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 plus -0.18?\nAnswer: -147.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 346*a + 347*a + 7, -36*f + 2*a = -0*a - 92 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24, -40, -50, -54, -52, -44?\n\"Answer: 3*q**2 - 25*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 11*f - 25*f + 6*f**2)*(3*f - f + 6*f).\nAnswer: 48*f**3 - 80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 times -2564592?\nAnswer: 494966256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + -28 + 7 + 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 20*r + 49*r = 25*r + 192 for r.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**5*b))**4 assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 72*b + 76. Let a be u(-37). What is the biggest value in 3\/10, a, -0.1, -6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1250793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, w: 2}. What is prob of sequence ewe?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-10)\/d*d\/(d*d**(-9)))\/(d**10\/(d*d*(d**(6\/11)\/d)\/d)) assuming d is positive.\nAnswer: d**(-104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 0, -5, 37, 4, 5, -6 in ascending order.\nAnswer: -6, -5, 0, 4, 5, 37, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftf when three letters picked without replacement from {f: 4, t: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x*x*x\/(x\/(x\/x**(2\/17)*x))))**(-49)\/((x**(2\/5)\/x)\/((x*x**(2\/5))\/x))**(-2\/5) assuming x is positive.\nAnswer: x**(36961\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34943*-0.5.\nAnswer: 17471.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/5 + 62*x**4\/5 - 78*x**3\/5 - 446*x**2\/5 + 76*x\/5 + 384\/5 = 0.\nAnswer: -32, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/1*(0 + -1). Let i = 12 + f. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, -0.34, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.1 (c) 2\/3 (d) 13 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -1)*(-2)\/6. Let t = 724 + -490. Let y be 20\/t*24\/40. Is i less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Suppose -4*h = r + 7, -r = -v*r - 3*h + 11. Calculate the remainder when (36\/(-15))\/((-3)\/10) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 941215 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 1, 4*s + 2*q - 4 = -2*q. Suppose -4*x + 2*k + 112 = 0, s*k = -x + 5*k + 19. Let v(f) = -2*f - 31 + x + 4*f. What is v(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, 1\/3, -0.5 in ascending order.\nAnswer: -0.5, 1\/3, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*o - 346. Suppose o = 4*x - 102. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*m = 5150*m + 810*m + 2759 - 15325 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 634739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*a - 100 - 855, -m = 0. List the prime factors of a.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2842*t + 3*a - 34 = -2837*t, a + 12 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**3 - 84*j**2 - 2*j - 47. Let f be u(-21). Sort f, 5, 2, 60 in ascending order.\nAnswer: f, 2, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/485 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18678480*p**5 + 10825152*p.\nAnswer: 373569600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10747 - 5309029\/494. Let b = -5\/38 + s. Sort b, -1\/5, 4 in ascending order.\nAnswer: -1\/5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.08, 0.4, 0.015, 0.1, -3.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.1 (c) -0.00022 (d) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 5*b + 5*b + 3*b + b - 2*b + (6 - 1 - 3)*(-2*b + 3*b - 3*b) - b - b + 3*b)*(b**2 + b**2 + 0*b**2).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 4*y + 34, 276 = -2*h - y + 275 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z + 26. Let k be w(-3). Suppose 7*r - 13205 = k*r - 3*g, 5*r - 5*g = 33050. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 126) + (0 - 6 - -4 - 2 - -11).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 48.\nAnswer: -3, -2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3825, 2.\nAnswer: -3825, -28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39614 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -217099ba1 - 2?\nAnswer: -217099ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17046 + -10840. List the prime factors of d.\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -20 + 34. Suppose -t*x = -2*x - 15. What are the prime factors of (-47*x)\/(3 + (-9)\/2)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -143\/29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 56. Let p(s) = -s**3 - 11 - 8 + 20 + i*s**2. Determine p(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 643*w**2 + 6*w. Let r(t) = -2273648*t**2 - 21219*t. What is 7073*g(q) + 2*r(q)?\nAnswer: 643*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 4:08 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -115\/1072, 7, 0.7 in increasing order.\nAnswer: -115\/1072, 0.7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 + (-1 + -3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 35 = 5*b. Let x be (15\/(-10))\/(6\/b). Suppose -3*c + x*m + 27 = -90, 5*m = -3*c + 144. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7357, -6194, -4293, -1654, 1723, 5838, 10691?\nAnswer: 16282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -8*q - 11. Let y(x) = -5*x + 1. Determine y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3207 and 1680?\nAnswer: 1795920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = -10*q - 149 + 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 121720 to the nearest 1000.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*q - 4. Let f(r) = r**3 + 6*r**2 + 7*r + 4. Determine f(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(2\/7))**(22\/3))**1)**(-3\/5))**(-5\/4) assuming r is positive.\nAnswer: r**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -2\/3*o**3 - 1\/2*o**2 + 0*o + 1 + 5\/4*o**4. What is a(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**6\/120 + 3*x**5\/20 - 9*x**4\/8 - 14*x**3 + 3. Let p(b) be the third derivative of n(b). What is w in p(w) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 11*k = 22*k - 144162 + 146502 for k.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 40 = 4*o. Let a be 136614\/45 - (-4)\/(-30)*-1. What is the units digit of a\/48 + 2\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6.3. Let y(u) = -u**2 - 2*u - 1. Let z be y(-2). What is the third biggest value in -5, z, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 14 - 2 = 0. Suppose 3 = n*c + c, -850999 = -z + c. What is z rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5536 rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2216 divided by 8.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 204694 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -379.022 and -1.9?\nAnswer: 720.1418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/728 and 47\/1144.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.075, -127, -3, 7, -1\/66?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/20, 0, 6\/11, 4\/9, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1548?\nAnswer: 6192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983431 less than -5?\nAnswer: -1983436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34587215 = 5*r + 19862785. What is r rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4055*s**4\/2 + 1394119*s**3\/2 + 2626115*s**2 + 1660912*s + 4080 = 0. Calculate s.\nAnswer: -340, -3, -4\/5, -2\/811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2136228*b**3 - 1442833 wrt b.\nAnswer: -6408684*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 27. What is k(27)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 f when three letters picked without replacement from vcfcifwvcicffff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258983322.\nAnswer: 2, 3, 13, 3320299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 62 = -2*x, -76*z = 4*x - 74*z - 128. Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25885 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 34333*n + 344. Is s(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 5, 1.29, -2\/19, -2\/135?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.7 (c) -28161562\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 513076 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - k**2 + 3)*(35 - 4*k**2 - 35) - 4*k**4 + 4*k**4 + 2*k**4 + (3 + k**2 - 3)*(-4 + k**2 + 4) + 22*k**4 - 16*k**4 + 0*k**4 - 18*k.\nAnswer: 13*k**4 - 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g - 2. Let b be x(2). Let p = b - -34. What is the tens digit of -48*(-2 + -2)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42375 - -74501. What are the prime factors of r?\nAnswer: 2, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*b + 27*b - 16. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21714 is divided by 1221.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 16943 = 3*o - o, 0 = -o - 1. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 6*s + 6. Let l be m(-6). Let p be 0\/(-2*(-3)\/l). Determine j, given that 1\/2*j**4 + 0 + 1\/2*j**3 + p*j**2 + 0*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 26*w + 69 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 1. Let g(y) = -3 + 1 - 1235822*y**2 - 2*y + 4 + 1235821*y**2. What is g(c) - 4*p(c)?\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 173 = -4*k + 3*i, 2 = -2*i. Let y = k - 84. What is the units digit of y\/((-3)\/(-6) - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -44. Solve -2*w + 8 = -3*f, 2*f = -3*w + w - p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*u + 19 = 0, 0 = 2*d - u - 1 - 7. Suppose -3*y - 3*h + 29 = -8*h, 3*y - 79 = -d*h. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 28. Let r be (-4)\/(1 - 0\/d). Suppose -2 + 5 = o. Which is the nearest to 0? (a) r (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*((-11)\/(-4) + 0). Is 10*v + (0 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:43 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 697 (b) -15 (c) 3 (d) -0.095 (e) -3 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1690 and -27657?\nAnswer: -46740330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k = 22*k + 119. Suppose -416 = k*r - 19*r. What is the remainder when r is divided by 56?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1895652 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 6:06 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 20499*u**3 + u**2 + 14*u - 14. What is the units digit of m(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30914755 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/6000 and -67\/1800.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2766707 and -682280.\nAnswer: -3448987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 t, and 1 p when four letters picked without replacement from {o: 2, p: 1, n: 6, t: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (910*m + 0 + 0 - 6688*m)*(-m + 2 + 111*m**3 - 109*m**3 + 2) to l + k*m**2 + s*m + u*m**4 + t*m**3 and give s.\nAnswer: -23112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 8*m - 10. Determine c(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 10.4. Let w = -11.8 + 12. Let u be (-1 + 0 - 2)\/1. Which is the second smallest value? (a) f (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**5\/40 + 5*i**4\/12 + 7*i**3\/12 - 49*i**2 + 262*i. Factor j(m).\nAnswer: -(m - 7)**2*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*w + 3*q, -10 = 4*w + q - 43. Suppose -4*n = 3*l, 2*l - w = n + 4. Solve 0*a + 2*a = l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 + -35. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17274945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9894 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 (base 6) in base 15?\nAnswer: -e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x + 4*r - 48 = -68*x + 43*x, 3*x + 6*x + 4*r + 80 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.29 + -0.4?\nAnswer: 215.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -1, 2, 2\/87, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*s, 56*s = -4*t + 57*s + 281. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180920\/7 - 25846. Which is the biggest value? (a) z (b) 116.98 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 5*m**2 + 3*m - 3. Let o be v(-4). Do o and 0.13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (3 - 12) + (-9 - (-2 + -11 + -48))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and ((-302)\/(-5) - 0) + 260\/(-650)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 4*x**2 - 1084 + 3*x**2 + 1085.\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:50 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 40 = -o. Let p be (-6)\/o - 451\/(-4). Suppose -56 = -2*k + 3*d, -4*k - d = -0*d - p. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -409*s. Let y(j) = 612*j. Determine -7*g(l) - 5*y(l).\nAnswer: -197*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32720416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:26 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110010011?\nAnswer: 110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/(-192)*(-6)\/28\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 354842620*j - 135406688.\nAnswer: 354842620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let o(p) = 15*p**2 + 25*p. Let j be (8\/(-2))\/(8\/(-148)). Let w = -71 + j. Let s(g) = -g**2 - g. Let y(u) = w*o(u) + 75*s(u). Calculate y(n(k)).\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 9. Let d = 0.9 + 3.1. What is the nearest to -0.1 in r, d, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 1. Let r be a(4). Suppose -n + r = -4*w, -4*n = w - 2 - 27. Find the second derivative of 8*l - n*l**5 - 41*l + 21*l wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01537 + -4642493525?\nAnswer: -4642493524.98463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 13*j**5\/60 - j**4\/24 - 2*j**2. Let b be k(1). Solve 0 = 2*m + 3*o - 4 - 5, -4*o + b = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4793 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 - (-25 - (-66 - 100)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y. Let p(g) = -4*g - 4. Let w(u) = 21*u + 22. Let i(q) = 11*p(q) + 2*w(q). Let j(d) = d. Let z(v) = i(v) - 2*j(v). Give z(x(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 2788\/673 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 24 + 71. Let l(i) = -33 + i + p + 18. Give l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2 + b**3 + 0*b**4 + 0*b**2 - 3\/5*b**5 + 0*b. Find the third derivative of m(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18958561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110320 - -132023?\nAnswer: -312231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let z = u - -1. Let c be (88\/(-77))\/((-2)\/7). Solve z*x = 3*l + 3, x = -4*l + 3*l + c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 393042, 786052, 1179038, 1572000, 1964938, 2357852?\n\"Answer: -12*d**2 + 393046*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 101. Solve 0 = d*x - 2*l + 10 + 8, 0 = 4*x + 2*l + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2*a - 3*l + 27, -3*a + 16 = 5*l. Let c be (0 - 1)*(a + 1). What is the third derivative of 3*w**c + 2*w**2 + 3*w**5 - 8*w**5 wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -762*x**3 - 626*x wrt x?\nAnswer: -4572*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**5\/15 - 5*o**4\/24 - 10*o**3\/3 - 6. Let p(h) be the third derivative of y(h). Is p(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 6696 = 0. Let f = 41 - 36. What is the remainder when (-1)\/f - z\/(-45) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 7. Let c be u(11). What is the first derivative of c*k**4 + 0 - 1 + 0 - 5*k**4 wrt k?\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1040 - 73. Suppose h = -j + 396 - 75, -3*j + h = -y. Suppose 0 = 7*o - j - 420. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from qddsadaqaaqdsqaj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1651 (base 7) to base 4\nAnswer: 22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14032 + 10113?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + w = 23, -2*w - 95 = -5*s - 3*w. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3) + -1 + 2. Let c(u) be the third derivative of -1\/20*u**5 - 1\/120*u**6 + 0 + u**2 + r*u**3 - 1\/12*u**4 + 0*u. What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -14. Let j = 35 - 20. What is the remainder when j is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.07?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -626 + 312. Let b = l + 314. Solve b = -3*v + 2*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 9*q + 0*q = 3, -5*q = 6*n - 8 - 37 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*w - 15 = -13*w. Solve -2*n = b - 6*n, 0 = -3*n - w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.8275 times 3.4?\nAnswer: -121.8135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011110110011000 (base 2) to base 7.\nAnswer: -3322242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 5. Let r(f) = -f**2 + 6*f + 6. Let z be r(6). Is 17 a factor of o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/12)\/((-2)\/42). Let t be (-8)\/28 + (-2)\/l. Let p(s) = -s**2 - 2*s + 48. Let x be p(t). What is the highest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 565*j + 141.\nAnswer: (j + 141)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -55*n + 3*n**3 + n**2 - 63*n - 3 + 120*n. Calculate h(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 673480 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.4 - 0.4. Let x = v - 0. Which is the smallest value? (a) -0.1 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 12*f = -44. Solve -f*h + 15 = -0*h + s, 3*h - 3*s - 15 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t - 8*t + 27*t)*(-8 - 15 + 0)*(5 - 2 - 1).\nAnswer: -1748*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - -b?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 7:29 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/16)\/v**(1\/6))\/(v**(2\/19)*v**(-9)))**8 assuming v is positive.\nAnswer: v**(7903\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9858 - -11664. List the prime factors of j.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/((-3)\/((-24)\/(-8)))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 - 4*o**2 - o**2)*(-126*o + 470*o - 102*o) in the form u*o + i + y*o**2 + p*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 698171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 106\/(-10) - (-12)\/(-30). Let j = p - -14. Suppose j*y - 3*l = -2*l + 173, 4*y - 234 = 3*l. What are the prime factors of y?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 5*n - 2*c, 4*n = 6*c - 9*c + 234. Is n\/(-38)*16\/(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 44. List the prime factors of l(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**5\/4 + 15*v**4\/2 + 85*v**3\/6 + 63*v. Factor l(q).\nAnswer: 5*q*(q + 1)*(q + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1489, 1488, 1487, 1486, 1485?\n\"Answer: -j + 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 - 5*g. Give j(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-25))\/(234\/(-390)*14\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 33 = 31. Let j(f) = f**3 - 16*f**2 + 18*f - 8. Calculate the remainder when j(15) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113577177 - 6436*i + 113577177 to j*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*z + 61, 4*x - z - 59 = x. Let y = x - -3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -138. Let l = -20 + k. Differentiate -21*x**3 + 6*x**3 - l - x**3 with respect to x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 20.01. Let x = -0.07 - q. Let n = -2.9 + 3. What is the third biggest value in n, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -288*v**2 - 2122*v - 707. What is y(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:07 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294384, 294049, 293714, 293379?\nAnswer: 293044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92*1220\/(-269376))\/(2\/48).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from zrzyyyyyzryzrvz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -25*l**2 - 8587*l + 13111. Calculate a(-345).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 + 351*d**2\/5 + 10089*d\/5 - 10443\/5.\nAnswer: 3*(d - 1)*(d + 59)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -430642540 + 0.1.\nAnswer: -430642539.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -23, -5, 25, -9, 14 in increasing order.\nAnswer: -23, -14, -9, -5, 14, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -64338001 equal to -64338001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5103229, -5103228, -5103225, -5103220, -5103213, -5103204?\n\"Answer: n**2 - 2*n - 5103228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 29*h = 364980. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 not equal to 2271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 323*f**2*g - f**2*n + 17*f**2 - 78*f*g*n - 2*f - 147*n with respect to g.\nAnswer: 323*f**2 - 78*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/34)*b)\/b*b)**(-21)\/(b**(-7)*b)**10 assuming b is positive.\nAnswer: b**(549\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -3, -19, -53, -111?\n\"Answer: -s**3 + 3*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s + 3*s + 27*s - 2*s + 49*s - 14*s.\nAnswer: 97*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8522404 and 2552?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(((-20)\/(-5) - 10) + (-25)\/(-4)). Solve -27*f + 9*f + 72 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 33*x + 16 = 0. Let h be x*(-5)\/110 - 0. Which is the nearest to -1? (a) -1\/83 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-15)\/(-13)) + 4. What is the closest to -0.1 in 4, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 + 38*q**3 - 35*q**3 + 0*q**2 + 0*q**2.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.3. What is the third smallest value in 2\/7, f, 0.1, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32856, 32855, 32854?\nAnswer: 32853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**3 - a**2 + 5*a - 3. Let m(k) = -6*k**3 + k - 2*k + 6*k**3 + 1 - k**3. Give -5*m(q) - w(q).\nAnswer: -2*q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3104 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -7*g**4\/4 + 16*g**3\/3 + 430*g**2 - 1014. What is the second derivative of i(c) wrt c?\nAnswer: -42*c + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116458104 is divided by 3327374.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1661751 and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6\/13, 2\/173 in decreasing order.\nAnswer: 6\/13, 2\/173, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100830.\nAnswer: 2, 5, 19, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (702\/117)\/(8\/(-36))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151802 + 31132 = 71*b + 141107. Which is bigger: -3688 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -1ac16b?\nAnswer: -1ac180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 3, -0.7, -4.1, -22?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1980, 1978, 1976, 1974, 1972?\n\"Answer: -2*w + 1982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c**2\/13 - 856*c\/13 + 384\/13 = 0 for c.\nAnswer: -48, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-10))\/((-22)\/(-55)). Let h be (0 + (-38)\/6)*g*-3. Suppose 10*r + 144 = h*r. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 x when four letters picked without replacement from rxxrrxxxrxxrrr.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 7. Let v be ((-3)\/s)\/(3\/(-2)). Sort -4, v, 5 in descending order.\nAnswer: 5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4030)\/(-143) - (-2)\/(-11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*i + 31 - 3, 5*i = -5*c + 60. Suppose -5*p + i = -22. Suppose 20 = p*a - 2*a. Solve 5*g + 4*u - 12 = 0, -3*g + 24 = -a*u + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 100*l. Let m(r) = 25*r**2. What is n(m(g))?\nAnswer: 1250*g**4 - 2500*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {k: 1, w: 3, n: 2, o: 2, v: 6}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 182. What is the fourth smallest value in o, 0, 0.5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, -1, -0.5, 280\/3, 1\/5, -0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3\/4 + 382705*l**2\/4 - 382720*l + 382725.\nAnswer: 5*(l - 2)**2*(l + 76545)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340032 and 171936?\nAnswer: 608997312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/40 - z**4\/24 - z**3\/6 + 3*z. Determine u so that v(u) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 + 184. Put h, 6, 19 in decreasing order.\nAnswer: 19, 6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 3*t**8\/2240 + t**6\/720 + t**5\/120 + t**4\/6 - t. Let f(a) be the third derivative of c(a). Calculate f(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72004471?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)\/((y\/(y*y\/y**(2\/5)))\/y))**(1\/5) assuming y is positive.\nAnswer: y**(4\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1708, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1348*b - 10818. Give h(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5303654.6091200714 - -5303875.60912. Let b = -221 + s. What is b rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let f be z(-7). Is ((-30)\/f)\/5 + 2395\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 294, 295, 296, 297, 298?\n\"Answer: j + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 2. Let m = 13 + -15. Let q be s(m). What is the least common multiple of 6 + -4 - (q + -10) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) - 26\/(-10). Suppose -a = s + 2*s, u - s + 389 = 0. Round u to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 2*n + 1\/3*n**3 - 4 - 1\/4*n**4 + 0*n**2. Calculate the remainder when 5 is divided by x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-10) - ((-21151)\/40040*-8 + (-12)\/10)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87922 (base 10) in base 15?\nAnswer: -1b0b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 51 - 14*k)*(-5*k + k + 5*k)*(-7 + 2 - 1).\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 74616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Let f(r) = -49*r + 14*r**2 - 10*r**2 + 32*r. Calculate f(b(y)).\nAnswer: 16*y**2 - 34*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**7\/105 + 19*s**6\/420 + s**5\/14 + s**4\/84 - 2*s**3\/21 + 18*s**2. Factor m(h).\nAnswer: 2*(h + 1)**3*(7*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 11:27 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l. Let b(z) = 50300151*z. What is h(b(m))?\nAnswer: 452701359*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 122*j - 611. Give p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8.37 or -45617\/8?\nAnswer: -8.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + 11*o**2 - 4*o**2 in the form h*o**2 + c*o + x and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110.02 - -123.466. Let y = 0.054 + p. Let w = 14 - y. Put w, 1\/3, 0 in descending order.\nAnswer: w, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 297\/206 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4*1)\/(-4 + 3). Let j be (-3 - -1) + 0 + 2. What is the third biggest value in j, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**3*x + 719021*v**3 - 2*v**2*x + 3*v*x + 17*v + 2*x + 34 wrt v?\nAnswer: 24*x + 4314126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2. Let p(h) = -h - 1. Let v(d) be the first derivative of -d**2\/2 - d - 36. Let f(o) = -6*p(o) + 5*v(o). Give -3*f(y) - 2*q(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4283*c*l**3*o - 2*c*l**3 + c*l**2 - 2966*c*o + 2098*l**3 + l**2*o + 2*l*o - 5*o wrt l?\nAnswer: 25698*c*o - 12*c + 12588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 7. Let q be n(-6). Put -3, q, 5 in decreasing order.\nAnswer: 5, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 18*h**2. Let b(i) = -2756*i. Calculate b(c(j)).\nAnswer: -49608*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(6\/5)*c)\/(c\/(c*c*c**4)))\/((c\/(c**(-2\/5)\/c))\/c)**8)**(5\/4) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngn when three letters picked without replacement from rnnajrgv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyzymim. What is prob of picking 1 m and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114967.\nAnswer: 114967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 23*q - 157 = 64 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 + 342*s**2 - 136*s - 18. What is x(68)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17554\/363 - -3\/121. Let s = -48 - g. Let f = -6 - -5. Sort 3\/5, f, s in decreasing order.\nAnswer: 3\/5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14070.8956 less than 0.2?\nAnswer: -14070.6956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 816380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -860, -944, -1074, -1262, -1520, -1860, -2294?\nAnswer: -2834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.023, -472, 4?\nAnswer: -472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Suppose v = a + 2*a. Suppose -10*s + 11*s = -3*b + 19, -2*b + 4*s + 8 = 0. Let z(m) = -7*m**2 + 6. Let r(u) = u**2 - 1. What is a*z(o) + b*r(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595 divided by -7.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2358*b**2 + 3*b**3 + 2358*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 747 or -245850?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.89, -1.5, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*p + 42*p**2 + 18*p - 4*p + 11*p - 2 wrt p.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*(3 + sqrt(7)) + sqrt(700) + -4 - (-3*sqrt(7)*5 - (sqrt(112) + -4))))**2.\nAnswer: -1144*sqrt(7) + 5216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617 a factor of 93230625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2486 and 43\/33?\nAnswer: 7458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/100 + p**4\/40 - 30*p**2. Solve c(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/2 in 4\/3, 0.3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96213 + 578143915\/6009. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22848159*s**2 - 7*s - 353075 wrt s.\nAnswer: 45696318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 - 1489*n + 460*n to the form g + l*n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 75.8. Let h = 311\/12 - 105\/4. What is the third smallest value in 1\/3, 1, h, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73112.\nAnswer: 2, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(8\/6 - (-1)\/(-3)). Solve 0 = f*d + y - 2, d = -2*d - 2*y - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17120485.82 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50963 is divided by 456.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {x: 5, y: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62800)\/2750 + 23)\/((-1)\/5).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 e when three letters picked without replacement from cccezeczecceeeeece?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -41 + 5. Suppose j*u = 2*u - 11. Let f = u - -30. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3866151712.\nAnswer: 2, 191, 379, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534843, -534835, -534831, -534831?\nAnswer: -534835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - p)*(-2 + 2 + 11) + (3 - 3 - 2 + (-3 + 1 + 3)*(-3 - 1 + 3))*(2*p + p + 2*p).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -546701 and -0.019.\nAnswer: 10387.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 5*v, -40*z + 12 = -35*z - v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/3, 0.2, -11, 1.12 in descending order.\nAnswer: 1.12, 0.3, 0.2, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 + p + 10. Let g = 1624 + -1621. Determine n(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 14 + 43 - 23 - 6.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 2 + 2424395*c**3 + 5 - 2424396*c**3 + 545*c**2 to the form z*c + l*c**2 + p + h*c**3 and give l.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -0*v. Suppose v = 21*o - 1710 - 180. Suppose 86 = 5*y + 21. Calculate the remainder when o is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -2*x - 96. Let a be (-1 - (-109)\/(-3))*36\/x. Suppose 0 = -2*v - 0*v + a. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(40) + 3*sqrt(100) + sqrt(100))\/(6*-2*(sqrt(200) + sqrt(200)*-4)).\nAnswer: 41*sqrt(2)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 3:33 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**6\/720 + p**5\/60 + p**4\/4 + p. Let q(y) be the third derivative of f(y). Does 5 divide q(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-42)*-30*268. What is the greatest common divisor of p and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98971945841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157\/94 - 6691\/2585. What is the common denominator of h and -5\/792?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**46\/(a*(a\/((a*a*a\/a**6*a)\/a))\/a*a**(1\/2)) assuming a is positive.\nAnswer: a**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a + 9. Suppose 2*i = -5*y - 7, -1 = 4*y - a*i - 0. Suppose -2*n + 2 = -12. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1227 - -836. Let i = t + 395. Let f(m) = m + 4. Determine f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 4 - 2*o - 2)*(-2 + 285*o + 321*o - 233*o).\nAnswer: -746*o**2 + 11194*o - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 2*v**2 - 11*v - 3. Give l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let r be (5 + -11 + 6)\/(1*-1). Let c(u) be the first derivative of 0*u + r*u**2 + 4\/3*u**3 + 2. Give c(n(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 67. Suppose -498 = -5*a + 4*j, -o*a = -0*a - 5*j - 206. Is 0 + a - (2 + 0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17010 and 55481370.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 491610317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3\/2, 0, -0.36, -9, 2\/341, 4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -39, -53, -57, -45?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (2\/2 - 1). Let r be 0\/(-1) + k - -23. Let v = 35 - r. Calculate the highest common divisor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1045 by -1045.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 39204 = 3*r - 4*w, -5*w - 65350 = -5*r. Let s = r - 1215836\/93. Find the common denominator of 7\/15 and s.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 39*d**2 + 213*d + 307. Let s be o(44). Let f = 1 - -1. Let c(r) = 3 - r - 4*r - f. Let b(y) = -y + 1. What is s*b(h) + c(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 21*n**2 + 72*n - 36. Let b be u(24). Let d = -38 - b. Put -5, 30, d in decreasing order.\nAnswer: 30, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.14, 5, 8163?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 57 = 33. Find the common denominator of (-6)\/(-2) + 222\/d and 15\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 50, 91, 138, 185, 226, 255, 266?\n\"Answer: -p**3 + 12*p**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584185 divided by 1?\nAnswer: 584185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011101100101000000 (base 2) to base 7.\nAnswer: -3154324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257243 (base 15) to base 11.\nAnswer: -101740a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*q + b**3 - 9*b**2*q**4 - 14*b**2 + 27*b*q**2 - 14 wrt q.\nAnswer: b**3 - 36*b**2*q**3 + 54*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r - 128*r - 128*r + 12*r**2 - 253*r.\nAnswer: 12*r**2 - 526*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -1.46 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 58426071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35861*b**3*m + 1125*b*m + 9*b wrt b.\nAnswer: 215166*b*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*1*sqrt(152))\/(sqrt(80)\/(sqrt(10) + 5*sqrt(40))).\nAnswer: -132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a. Let g(s) = 56*s. Calculate l(g(q)).\nAnswer: -224*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r + 2*r)*(15578*r**2 - 134*r**3 - 15578*r**2) + 6*r + 19*r**4 - 43*r**4 + 25*r**4.\nAnswer: -267*r**4 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**2. Let k(g) be the second derivative of -g**5\/120 + g**3\/2 - g. Let n(x) be the second derivative of k(x). What is n(c(o))?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166 + -164 + (21 - 0) + -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 391 + 53 - 21)*(-1 - 3 + 2)*(-50 + 9*h + 50).\nAnswer: -8892*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -7, 36*o - 34 = 31*o + 2*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1852681.\nAnswer: 18526810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 695800 and 31400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 208 + -188. Let c = 37 + 0. What is the remainder when c is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = q, -3*o + 3*q = -3. Suppose 0 = -6*d + o*d - 192. Let b be 2 + d\/14 + 1. What is the nearest to 2\/7 in 2\/13, 2\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5b (base 16) in base 8?\nAnswer: 25533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l - 8 = 0. Let h = 4 + l. Sort h, 0, 5 in decreasing order.\nAnswer: h, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -0.5, -4\/9, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -204*r + 838. What is t(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + 32. Suppose 2*a - y = -0*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from kjomjujombmoomo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 20*d - 2940 + 24864 = 0. Calculate the remainder when d is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37301069.\nAnswer: 13, 37, 77549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 2, g: 1, q: 1, d: 2}. What is prob of sequence assd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -1. Let t(d) = -8*d**2 - 2*d + 1. Let v(n) = n**2 - 4*n + 1. Let x be v(4). Let c be t(x). Sort c, l, -5 in increasing order.\nAnswer: c, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 17*j. What is c(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-294)\/7)*210\/(-240)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 22*f + 69. Determine y(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*r**5 + 75*r**4 - r**3 - 2*r**2 - 10*r + 70?\nAnswer: -1140*r**2 + 1800*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*y = -10, -9*d + 3*y = -6*d + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 729275 and 145700.\nAnswer: 137103700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1004 = 4*z + 348. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -1.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121097.2 nanoseconds in minutes?\nAnswer: 0.00003535162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -9. Suppose 39 = -2*x + o, 5*x + 2*o + 97 = 5*o. What is the units digit of -3 + (k - -3) - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 3. Let t be i(1). Let g(a) = -10*a**3 + a**2 - 10*a - 10. Let m be g(-1). Let s(l) = m*l - 5 + 6*l - 28*l + 10*l. Determine s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 62.91927 tonnes?\nAnswer: 62919270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3084463927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -893 (b) 5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 36. Suppose -96 = s*a - 6*a. Suppose -a = -5*w - 19. What is the least common multiple of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/19 (b) -3 (c) 0.4 (d) -1\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9711195 less than or equal to -9711145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -376*h**4 - 995*h**3\/3 - 407. Find the third derivative of j(v) wrt v.\nAnswer: -9024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-271)\/(-7) - (-4)\/14. Suppose -s + z = 5*u, 3*s - 2 - 11 = -2*u. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4365 and -83\/10185.\nAnswer: 30555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**5 - j + 1. Let r(y) = 6*y**5 + 6*y**4 + 3*y**3 - 3*y + 3. Let q(h) = 3*f(h) - r(h). Factor q(o).\nAnswer: -3*o**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 47.6, 3\/8, 0.14, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.26584 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 + 9*u - 31. Let y(j) = j - 3*j - 3 - 3*j**2 - 2 + 4. Let h be y(-3). Let l(m) = -m**2 - 2*m + 6. Let k(q) = h*l(q) - 4*d(q). Factor k(v).\nAnswer: -2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + (sqrt(539)*-2 + sqrt(539) - sqrt(539)) + -3 + sqrt(539)*2*-5 + -5))**2.\nAnswer: 2016*sqrt(11) + 77760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398677.\nAnswer: 19, 20983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4668, 4667, 4666, 4665, 4664, 4663?\n\"Answer: -u + 4669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z + 1074. Let j(d) = -107*d - 9664. What is -2*j(w) - 19*o(w)?\nAnswer: 5*w - 1078","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 - 421*x + 14670. What is a(-133)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:40 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 93?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*l - 37, -56*l + 5*s + 27 = -52*l. Solve -l*v - 44 = -84 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-110)*1*-10*26\/195?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 87*q**2 + 70*q - 1552. Let o be u(-88). Let j be ((-6)\/4)\/(2\/4). Put 3, -5, o, j in descending order.\nAnswer: o, 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 40*v**2 - v + 2. Calculate the remainder when f(2) is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:58 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*l - 14, 4*q + 0*l + 2*l = 22. Let y(r) = 0 - 3*r**2 - 3*r**2 + r**q + 2 + 5 + 3*r. Calculate y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -29*h**2. Let l(s) = 96764*s. Calculate u(l(b)).\nAnswer: -271534879184*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c - 39. Give q(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30*2.6\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z + 2*r - 12 = 17*z, 0 = -z - 5*r + 21. Solve f + f = z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Let r(n) = n + 3. Let z be r(y). Suppose 4*i = -z*c + 75, 4*c - 4*i - 73 = 27. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-544 + 1)*(-5)\/15. Suppose d - a = -177. Solve -3*y + 16 = d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**3 + 1 + 4*w**2 - 7*w + 8*w**3 - 15*w**3 + w**2. What is the units digit of z(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(117) + 0 - (2 + sqrt(117) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -89 + 2*z**2 + 89. Let f be n(-1). Let q be 0\/(-1 + f)*-1. Solve q = -5*h + 28 - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 1 - 1)*(-3*j + 1 - 1)*(-319 + 1886 + 1057) as f*j**2 + m + g*j and give f.\nAnswer: -7872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c + 84. Give j(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnzbvyznvnbnnxb. What is prob of sequence nxz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3974683*g*m - 7046400*g wrt m?\nAnswer: 3974683*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*r - 3*v - 34, 3*v = 5*r + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2080 and 1040.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from hhtttethtee?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -25*m - 2. Let z be j(-3). Let c = -51 + z. Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79379811 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.18 (b) 0.07 (c) -8 (d) 3 (e) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let h(r) = 3*r**2 + 12020*r + 2. Determine a(h(u)).\nAnswer: -3*u**2 - 12020*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**47\/(((i\/i**(1\/4))\/i)\/i*i) assuming i is positive.\nAnswer: i**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34833, 66147, 97461, 128775, 160089?\n\"Answer: 31314*a + 3519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004133134826 rounded to 7 decimal places?\nAnswer: -0.0004133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 less than -3?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 20*q**4 + 175*q**3 - 245*q**2 + 50*q = 0.\nAnswer: -10, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1392\/87 + ((-12160)\/(-19))\/(-8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85.2 - 85.172. Which is smaller: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q + q)*(2*q + 6*q - 14*q).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((126\/(-60))\/7)\/((-27)\/12).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27805, 27926, 28141, 28462, 28901, 29470, 30181?\n\"Answer: 2*s**3 + 35*s**2 + 2*s + 27766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42969, 85925, 128881, 171837?\nAnswer: 214793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.110754km?\nAnswer: 8110754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13144, -52573, -118290, -210295, -328588, -473169?\n\"Answer: -13144*c**2 + 3*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80) - sqrt(80)*1*6)) - sqrt(80)))\/sqrt(2))\/(-6*sqrt(88)\/(sqrt(11)*-1 - sqrt(11))).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 8:27 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 65 = 10*c. Suppose -112 - c = -9*o. Calculate the remainder when 4*((-93)\/2)\/(-3) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4\/12 - 3*u. Let z(q) = 22*q**2. What is z(w(i))?\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1*2*186\/124)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*315\/1935*1*-9.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*n + 24*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -913*a**4\/3 - a**2 + 96*a - 2. Let y(t) = -2*t. Determine j(y(l)).\nAnswer: 14608*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 108 - 7)*(a - a + a) + (-a + 2*a - 2*a)*(-2 + 4 + 0).\nAnswer: -77*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m + 5*y - 19, -4*m + 13 = -y. Let z(q) = -2*q + 0*q - m*q + 4*q. Let n(v) = 0*v + 7*v - 4*v + 7*v. Determine n(z(k)).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -573 - -5591. Suppose 5*a - i = 1992. Is 44 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z + 5*v - 25 = 59*z, 10 = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -15. Let l = -1.7 - -1.2. Which is the third biggest value? (a) o (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*b + 29*b + 8*b + 295176 = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 59*u - 363. Is k(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116321 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 1. Let h = 3 - 0. Let x be b(h). Let v(n) = 3*n**3 + 5*n**2 + 5*n - 3. Let a(r) = 2*r**3 + 3*r**2 + 3*r - 2. Calculate x*a(s) - 3*v(s).\nAnswer: s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17758 - -23797. What is the smallest common multiple of 2013 and w?\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -434\/321 - -2\/107. Let n = -7735.9 - -7736. Let g = 2 + -2.1. Which is the nearest to g? (a) x (b) n (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*t = -105*t - 5010 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l**2 - 8*l - 8. Let i(b) = -7*b**2 - 3*b - 3. Suppose 0 = -4*z + 121 - 57. Suppose -24 = -j - z. Calculate j*i(d) - 3*f(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*a**6 - 749*a**3*o - 1240722*a**2*o wrt a?\nAnswer: 17880*a**3 - 4494*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*x + 81*x + 86*x - 1785. Suppose -2*z - 3*z + 10 = 0. Let r(b) = -12*b + 2. Let s(f) = 85*f - 15. What is x*r(y) + z*s(y)?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 42 + 213. Let p = -40 + u. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = q + 13, 24 = f - 5*q + 3. Sort 7, -5, f, 2.\nAnswer: -5, f, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnengiizig. What is prob of sequence zg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -39. Let v(y) be the third derivative of -y**4\/6 - y**3\/3 + 2*y**2. Let i be v(z). Solve 0 = i*x + 2 + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -93*z**3 - 14303*z**2 + 8*z + 8. Let l(v) = -35*v**3 - 4768*v**2 + 3*v + 3. Give -8*l(s) + 3*o(s).\nAnswer: s**3 - 4765*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1.1874.\nAnswer: -0.47496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 2*t + 0*t - 39*t**2.\nAnswer: -39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847154853.\nAnswer: 79, 23381707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -5?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1354*q**2. Let u(t) = t. What is u(x(w))?\nAnswer: 1354*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l = 3*k - 1, 0 = 4*k - 5*l - 32. Let j(x) = 32*x**3 + 11*x**2 + 5 - 57*x**k + 0*x + 26*x**3 + 2*x. Give j(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 50773494.\nAnswer: 50773493.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - 2654?\nAnswer: -2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*n - 8*n + 20770 = 0, -4*s = -5*n - 83029. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0 - 3\/2*r**2 - 3*r + 1\/6*r**3. Give c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k - 6*i + 9*i, 0 = 5*k - i - 15. What is the tens digit of 133059\/459 - (k\/(-18))\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -3, -103, 3, -5, 0.262?\nAnswer: 0.262","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59432907.\nAnswer: 3, 19810969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -145, -127, -81, 5, 143?\n\"Answer: 2*d**3 + 2*d**2 - 2*d - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*i**3 - 38*f**2*q**2 + 8*f*i**3*q**3 + f*i**2*q**3 + 49*i**3*q**3 - i*q**3 - 3 wrt i.\nAnswer: -6*f**2 + 48*f*q**3 + 294*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 - 55 = 3*l - i, 0 = -l + 2*i + 50. Suppose l*b - 47 = 217. Solve -b*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1\/21 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -262305222?\nAnswer: -262305230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-2140)\/8*108\/(-270)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 8.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 2961?\nAnswer: -2960.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 538356.2 to the nearest one thousand.\nAnswer: 538000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 324496 (base 11) to base 7\nAnswer: 4256135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000169254301 rounded to six dps?\nAnswer: 0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 - (0 - 3)) - (-5 - -14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09062 rounded to three dps?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 30\/53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 1635 = 3381. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) + 0 - 0. Let u be 5 + (-1)\/(2\/s). Suppose -y + 74 = -u. Does 39 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63000951?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 577 and 400802?\nAnswer: 400225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13876197*p**3 - 4794315 with respect to p.\nAnswer: 41628591*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 + 71 - 113 - 108 - 106 + 456*g.\nAnswer: 456*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 127 - 42*d**3 + 91*d**3 - 66*d**2 - 123 - 221*d**2 + d - 46*d**3 in the form p*d**2 + r + s*d**3 + n*d and give p.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 2*y + 1286 - 480.\nAnswer: -2*y + 806","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**9\/(u**(-5)\/u))\/(u**(-1))**(-45) assuming u is positive.\nAnswer: u**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194016687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131456.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*p + 11. Let t be p\/(0 + 1) + -620003. Round t to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/9584078 and 48\/2891.\nAnswer: 67088546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 2. Let s(y) = -25156*y**2 + 3*y + 8. Let i be s(l). What is i rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 4, u: 3, h: 3}. Give prob of sequence huy.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771368 greater than or equal to 1771385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3941857 rounded to the nearest 10000?\nAnswer: -3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. Let t(g) = -g + 83. Is t(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2777*u + 795. Let y be d(-1). Is y < 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 3*w + 4. Let v be h(-3). Let j = v - -38. Suppose 1311 = 5*k + 3*t, 5*k + 214 = -5*t + 1519. What is the greatest common divisor of k and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 223*o + 3668. Determine w(-126).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(2\/7)\/l))**3\/(l**2\/(l\/l**(-8))))\/((l**5*l*l**(-6))\/((l*l\/(l**(-4)*l)*l)\/(l*l**(2\/3)))) assuming l is positive.\nAnswer: l**(409\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -15 - -18) + -13 - 55?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 6, r: 3, g: 1, d: 1, c: 1}. Give prob of sequence gzb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -369 * -153.8.\nAnswer: 56752.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343451 is divided by 405.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y - 5 = 0. Suppose -2*v - 4*j + 48 = 0, -3*v = -5*v + 4*j + 32. Let g be 4\/39*6\/v. Sort -3, y, g.\nAnswer: -3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.56 - -0.538. Let x = 0.0220002 + i. What is x rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.48 + -24.52. Let f = 25.1 + t. What is the third biggest value in 0.2, -2\/9, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150713425 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-285)\/(-76)))\/(37\/(37\/18))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 63 = -4*u - 5*z, 107 = 4*u - z. Let x = u + -38. Let n = x - -22. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*y**4 + 9*y + 36*y - 4*y wrt y.\nAnswer: -204*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -29, 218.\nAnswer: -29, -25, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24738 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 154 = 12*x. What is the first derivative of -6*s - x + 55 - 2*s wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 0, -5*c - d - d = 12. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*d - 64246, p - 157401 + 28853 = -4*d. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1763944 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2 + (-12)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3672 and 4320.\nAnswer: 73440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -134, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 11:42 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**2 - d + 4. Let t(u) = -u**2 - u. Calculate -3*t(h) + z(h).\nAnswer: -h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 9.4.\nAnswer: 122.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**3 - 172*j**2 + 332*j + 22. Give i(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5411889914.415 minus 0.003?\nAnswer: -5411889914.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 2962200 = -2963985 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -32. Solve g*k = -3*t - 7, k + 3*t + t = -11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:22 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*-2 - -7. Suppose h*x - 2*m - 71 = -3, -3*x + 2*m + 50 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -8.8. What is the second smallest value in 0.4, 3, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 5, 109773?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 4*t**2 - t - 7. Let f be r(-6). Let z = f + -13. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13082\/15 - -873. Let n = 7\/15 - y. Put n, 0, 2\/9 in descending order.\nAnswer: 2\/9, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m + 5 + 11 + 13*m + 5 to the form f*m + z and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u + 4. Let g be i(3). Suppose 29*b + 306 = 11*b. Let o = g + b. Solve 2*y + o = -3*a + 3, -5*y = 2*a - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6826 = -12*l - 64450. Which is smaller: -4800 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*n + 7, -15 = 5*y + 5*n. Suppose y*q + 3*q = 235. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2404103 (base 8) to base 10.\nAnswer: 657475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/35, -6, 2, 3\/107, 0.5?\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**2 - 19*z + 4. Let x(v) = -3*v**2 - 6*v + 1. Let l(q) = 2*f(q) - 7*x(q). Let n(a) be the first derivative of l(a). Calculate n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 36*z**2 + 1683*z + 30314. Give k(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181446 is divided by 1338?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:58 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (770\/(-1848))\/((-80)\/(-544)).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/175 and -56\/275.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 3. Suppose -9*u + 8*u = -41. Let o = u + -41. Suppose 4*g - 48 + 56 = o. Give s(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3639.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1143 in -3\/2, -0.013, 0.3, 0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -3\/7 (b) -7 (c) 12\/123173 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*m**2 + 48*m**2 - 269*m**2 - 2*m**2 + 0*m**2 + 0*m**2 + (0*m + 5*m - 4*m)*(-m + m - 2*m).\nAnswer: -213*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - c2?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**8\/8400 - q**7\/4200 + q**6\/900 + q**3\/2 + 3*q. Let t(a) be the second derivative of z(a). Solve t(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15697939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*x - 596 = 388 + 600 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 678131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23771 + -22185. Calculate the greatest common divisor of n and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrrqyyyrqqqyymymqyqq. Give prob of sequence qr.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638 and 28767750?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-14) - (-3216)\/(-42). Let d = n - -118. Calculate the remainder when d is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29030265?\nAnswer: 3, 5, 11, 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799379*k + 191 = 799384*k + 8*l, 5*l = 2*k + 145 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 times -0.05?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*t + 4*f, 0 = 8*t - 3*t + 4*f - 85. Suppose -4*a = -a - t. Let x = a + 15. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.3, 1\/4, -91.1, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-9)*((-50)\/(-28) - 2). Which is the second smallest value? (a) -0.4 (b) 3\/8 (c) -0.1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.1 + 8.3. Which is the nearest to 1? (a) -1 (b) h (c) -3 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence feff when four letters picked without replacement from {j: 1, f: 6, e: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -16*h**3\/3 - 165*h**2 - 4*h + 28. Calculate the remainder when 195 is divided by f(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -616 divided by -11?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2758 (base 9) to base 8\nAnswer: -4036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*y + 26812004 = 0, 3*y = 277*f - 278*f - 6703003. What is f rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 1359, 3037, 5387, 8415, 12127?\nAnswer: 16529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -287936820 to the nearest one hundred thousand.\nAnswer: -287900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508 + 947. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 146 - 146 + q**2 to p*q + y*q**2 + r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-32)\/(-4352))\/((-3)\/24)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 greater than or equal to -279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pekoookppk. Give prob of sequence ek.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 52*u - 2387 + 2625 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 63. Let v(a) = 42 - 34*a + 70*a - 34*a. Let y(s) = -5*l(s) + 8*v(s). Give y(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 11:57 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 3*s + 4*s)*(38*s - 570 + 570) + 4 - 2*s**2 - 4.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - f**2 + 16*f**3 + 22*f**5 - 7*f**2 - 18*f**5 + 16*f**4 - 20*f.\nAnswer: 4*(f - 1)*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 1 r when three letters picked without replacement from {d: 1, m: 5, r: 2, w: 1, a: 8}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.248 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 10.03, 2\/3, 2, 5 in descending order.\nAnswer: 10.03, 5, 2, 2\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-920)\/(-462) - 784\/336 and -41\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = j + 7. Let a be 3 - j*(-4)\/(-8). Let o(s) = s**2 + 17*s + 20. Let t be o(a). Solve -16 = -t*k, -5*p - 5*k = -4 - 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:07 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4364717339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9034*r**2 + 2110186 - 2110186 in the form t*r**2 + x*r + b and give t.\nAnswer: -9034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 + 1 - n + 4. Let b be w(0). Determine m so that -b*m**2 + 1 + 5*m**2 - 8*m**3 + 4*m**5 - 2 - m**4 + 4*m = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28611*p = 29166*p - 3885 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 39*n + 28. Calculate the remainder when 57 is divided by i(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 2843867.\nAnswer: 28438670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**0\/(x\/(x**(-2\/3)\/x))*(x**(1\/3))**(-17\/4)*(x**1\/x)**(-2\/15)\/((x**5\/x)\/(x\/(x*x**4))) assuming x is positive.\nAnswer: x**(-145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4\/5, 940, 3, 0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -267*o - 1472. What is the tens digit of l(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 17*n**2 + 29.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17747 or -17748?\nAnswer: -17747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7974, -15982, -23994, -32010?\n\"Answer: -2*m**2 - 8002*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2831806 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -149, 10703, 0, 2, 5, 1 in increasing order.\nAnswer: -149, 0, 1, 2, 5, 10703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37997 and 12728995?\nAnswer: 12728995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 208322299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*q - 33*q + 14. Suppose q*s + 4*t - 30 = 0, -5*s = -4*s - t. Solve -s*b = w - 0 + 4, 4*w - 5 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 580*z**4 - 63*z**5 - 52*z**5 - 580*z**4 + 525*z + 15*z**5 wrt z?\nAnswer: -2000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -34*t - 28. Let r = -115 + 114. What is the lowest common multiple of d(r) and 200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/4*(5434\/1092)\/209\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**5\/20 + 3*f**4\/4 + f**3\/6 + 5*f**2\/2 + 7*f. Let l be m(-9). Is -541*(l + 0)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 + 3 = -28*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6724454 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:15 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y - 6*y = -19*y - 1102 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 882 to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*h + 216*h = -301 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 - 2*j + 3*j + 6*j**2 + 0*j + 6. List the prime factors of v(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*f + 20, -2*i - 2*i = 5*f + 10. Which is bigger: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**4\/12 - 2*j**3\/3 - j**2. Let r be y(6). Suppose 4*u + 14 = 5*u + 5*m, 0 = -3*u + 2*m + r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -18. Let i = -9 + 31. What is the lowest common multiple of r and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 0 = -o + 26*z - 1 + 5 - 2, z = -14*o + 42 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5 - 16\/(-4)). Suppose o = -2*q - 4*i, 3*q - 5 = -0*i - 2*i. Let c be 1\/(12\/16)*q. Solve s + 3*s + c*b + 4 = 0, s + 3*b = 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**2 + 18*x**2 + x**3 - 11*x**2 + 5*x + 3. Let l(y) = -y**3 - 4*y - 2. Calculate 2*b(m) + 3*l(m).\nAnswer: -m**3 - 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*z, -a + 6*z + 2 = 5*z. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose 3*o + 2 = 4*c, -n = -5*c - 2*o + 10. Suppose -f - f + c*v = -114, 4*v = -f + 47. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/7)\/(p\/(p**(-16)\/p)*p*p)*p*p**10*p*p\/(p\/p**(-8\/9)) assuming p is positive.\nAnswer: p**(-542\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weweweeeeeeeeeeeee. What is prob of picking 3 w and 1 e?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1289\/3324 + 8\/277. Let a(o) be the first derivative of 1 + 0*o - 1\/20*o**5 - l*o**3 + 1\/4*o**2 + 1\/4*o**4. Factor a(i).\nAnswer: -i*(i - 2)*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 14*s - 13*s**2 - 45*s + 14*s**2 + 2 - 22 as t + i*s**2 + n*s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/506361 and -4.\nAnswer: 506361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 46*p\/3 + 48.\nAnswer: -2*(p - 3)*(p + 72)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**4\/2 + 2*i**3 - 5*i**2\/2 + 8*i - 31. Let t(g) = -2*g**3 + 5*g**2 - 4*g + 7. What is 5*t(b) - 4*x(b)?\nAnswer: -2*b**3 + b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a + 10. Let d(j) = -19*j + 663. Let y be d(35). Calculate x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 6*z + 4*z)*(-5*z**4 + 0*z**4 + 2*z**4 + (-2*z**3 + z**3 + 0*z**3)*(-2*z + 3*z - 2*z)).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from agagaja.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 19*m**2 + 36*m + 10. Give h(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197059657 to the power of 1\/3, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - (6 - 76)) + (-1 - -2) + 52 + -8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmff when four letters picked without replacement from fmffmfffmmmfffmm.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1453705168 to five dps.\nAnswer: -1.14537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 10*v + 130 = 0. Let w = 9 - -45. Suppose -h - h = -5*s + 69, w = 4*s - 2*h. Calculate the remainder when v is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 48519*u**2 - 48517*u**2 - 175.\nAnswer: 2*u**2 - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57212 is divided by 3006.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in -2\/5, -5\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**3\/3 + 3*n**2 + 2*n - 1. Let q be (-11 - -10)\/(-3 + 32\/10). What is m(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 2:28 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 87483 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7873740 and 1080.\nAnswer: 15747480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4096, -16608, -37520, -66832, -104544, -150656?\nAnswer: -205168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-5))\/(65\/325). Which is the second smallest value? (a) -0.1 (b) l (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/12 - 85*i**4\/24 - 69*i**2. Find b such that l(b) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2887 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2) - -1)*0. Suppose q = y - 2. Suppose 3 = y*o - 7. Solve -2*r - 4 = -3*r + 5*c, o*r - 2*c - 20 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2. Let z(d) be the first derivative of 905*d**3 - 706. Give k(z(m)).\nAnswer: 14742450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccscccsccsc. Give prob of picking 2 c.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 59*l**2. Let s(h) = 2*h - 29. Let u(c) = -c + 29. Let x(t) = s(t) + u(t). Give k(x(w)).\nAnswer: 59*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 10:23 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -1298994645.\nAnswer: -1298994645.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 29531925?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 510*o**3 + 2*o - 3. List the prime factors of k(1).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 9785?\nAnswer: 29355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13969110 and 13969110.\nAnswer: 13969110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 5547942?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32701709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l + 0*l**2 - 6*l**3 + 1\/780*l**5 - 18 + 0*l**4 + 1\/2340*l**6. Let d(z) be the third derivative of n(z). Factor d(o).\nAnswer: 2*o*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18228940 to the nearest one hundred thousand.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -5. Let f be ((-370)\/(-555))\/(3\/9). What is the third biggest value in 2\/15, 0.2, n, f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001724 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(540)\/(sqrt(12) - sqrt(12)*-1)*1)\/(sqrt(324) + (sqrt(324) - -2*sqrt(324)) + -1*sqrt(225)))**2.\nAnswer: 3*sqrt(5)\/19 + 13001\/1444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 48, -1001, -3\/5, -0.4, 4, -0.1?\nAnswer: -1001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 5 = -9*d. Suppose 3*t - 1 = 2*q, t = 2*q + d*q - 30. Let z(m) = -m**2 + 5*m + 4. Calculate z(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:04 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r = 24*r + 20*r + 9922. Solve 5*l - r = -2*f - 922, 2*l + 4*f = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l**2. Let v(n) = 4*n + 72. Determine v(q(w)).\nAnswer: 48*w**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-40))\/1 + -1 - (-76)\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 8*g**2 - 2*g - 11. Let h be n(-8). Suppose h*i - 8 = -j, 0 = 2*j - i - 4 - 34. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18507153?\nAnswer: 3, 7, 125899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-7)*(-54844)\/(-16). Let v = y - -1955. Find the common denominator of v and -53\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41636864 rounded to three dps?\nAnswer: 0.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (458*a**3 - 2 + 3*a - 3 - 456*a**3)*(4 - 4 - a + (0 + 1 - 3)*(-1 + 2*a + 1)).\nAnswer: -10*a**4 - 15*a**2 + 25*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -795b - 3624?\nAnswer: -b181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 11775 = 24333. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 825, 1615, 2711, 4107?\nAnswer: 5797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13*i**3 + i**2 - 2*i + 2. Let d be g(1). Suppose 18*t + 35 = 19*t. Calculate the highest common divisor of t and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/15*-2 + (-2)\/5. What is the second derivative of -4*w + 11*w + 2*w**2 - 64*w**4 + z*w - 3 + 3*w wrt w?\nAnswer: -768*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 - 8*r + 151. Let m(k) = -9*k**2 - 15*k + 301. Let s be (3 - 4)\/(4\/(-24)). Let f(w) = s*m(w) - 11*v(w). Is f(0) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -832 - -900. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuju when four letters picked without replacement from uuuujujuju.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71916203143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326 and 751919?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/7)*v)**43)**(1\/23))**(-12) assuming v is positive.\nAnswer: v**(-4644\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 1. Let t be d(1). Solve t*m = 3*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627374 is divided by 4074?\nAnswer: 4052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/7*-3 - (-4)\/(12\/13). Sort p, 3\/2, 7.4 in decreasing order.\nAnswer: 7.4, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -452, -1, -27, 5, -5 in ascending order.\nAnswer: -452, -27, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 + 6*b - 5. Is j(2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 887*t**4 - 823*t**2 - 1189*t**2 - 78*t**4 - 443*t**2 wrt t.\nAnswer: 19416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1867*w - 1862*w + 2*k - 60, 14*w + 4*k - 120 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -178 - -181. What is the closest to -0.2 in 0.1, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.04984+236.18283\nAnswer: 236.23267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 5, -4.\nAnswer: -4, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 16*z + 18. What are the prime factors of s(15)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + 84\/10. Suppose -n*r + 3*r + 85 = 0. Let h(x) = 2*x**2 - 16*x + 11. Is h(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*-4*(1*sqrt(76)*-6 - (sqrt(76) + (2 + sqrt(76) - sqrt(76)))*-6))**2.\nAnswer: 82939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/49 + (-4)\/((-392)\/21)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (18 + -13 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, a: 2, f: 4, i: 6, z: 1, w: 1}. What is prob of picking 1 w, 1 f, and 2 i?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = -32*y. Does y = -1\/212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54340931 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 37\/(-9) - 702\/1053. What is the fourth smallest value in o, 3\/13, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14551462 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghdeohe. Give prob of picking 1 g and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3 - 41706\/(-13900)). Suppose q = -46*w + 56*w. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 12*a**5 + 39*a**3 - 6 - 10*a**4 + 2*a**4 + a**4 + 9*a + 51*a**2 = 0 for a.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 22*n**2 - 29*n - 448. Let m be o(24). Let t(q) = q**3 - 9*q**2 + 10*q - 9. Determine t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -225539 (b) -0.2 (c) 20 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83\/66 + -34\/11. Let r be 4*(42\/7)\/(-6). Calculate the common denominator of v and 195\/50 - 6\/r - 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -355 + 15619\/44. Let w be 54\/21 + -7 + 5 - (-99)\/(-63). Is w equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*a - 108, a + 38 = v - 13. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -4, -1, 0 in descending order.\nAnswer: 5, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 13 in decreasing order.\nAnswer: 13, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14593*h - 14373*h. Find a such that 0 - 3*a**2 + 0*a + 3\/2*a**5 + h*a**4 - 9\/2*a**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -59 + 22 + 26\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39006 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 433 (b) 5 (c) 10 (d) 1184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1136 and 426?\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 429*c**3 - 589462*c**2 + 6*c - 30024007.\nAnswer: 2574*c - 1178924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, 5.5, -0.3?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 3. Suppose -n - 3 = 2. Let k(l) = l + 1. Let d(p) = n*k(p) - 2*a(p). Does 8 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*8\/20)\/(((-8)\/(-3))\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/((-2)\/(-6)). Suppose 0*y = 3*s - 3*y - 21, -5*s - 4*y = 1. Solve -w - s = -k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -12*y - 1\/2*y**2 - 3. Let k = 9 + -14. Determine x(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/4 + 1949*r\/2 + 22538823\/4 = 0. What is r?\nAnswer: -3183, 7081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2051 + -14386\/7. Let m = -564193202\/126621 - 632\/11511. Let y = m - -4452. What is the common denominator of y and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 63, 14, -1898, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/(-1*(-24)\/(-32)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/3 - 23*m\/3 + 36 = 0.\nAnswer: -27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 341376879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452426.\nAnswer: 2, 13, 17401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + n - 4188 - 3201 = 0, 4*k - 4*n = 14748. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/9)\/(1\/(-3)). What is the third smallest value in -0.4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -8129729?\nAnswer: -203243225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 + -100. Suppose -b*t + 617 = -2313. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 20*p + 0 - 2*p**2 + 0*p**3 + 1\/4*p**4. Is d(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v**(3\/14)*v))*v*v\/(v*v\/v**26*v)*v)\/((v\/(v*v**(-10)*v))\/((v\/(v**(-20)*v*v))\/v)) assuming v is positive.\nAnswer: v**(535\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-33 + 41 + 2 + (1 - 19)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -171*k - 264. Calculate n(-10).\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -373, -2281, -5733, -10729, -17269?\nAnswer: -25353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4204951?\nAnswer: 233, 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)*g*g*g*g**(-10))\/(((g*g**(2\/7))\/g)\/(g\/(g**1\/g)*g)))**(8\/3) assuming g is positive.\nAnswer: g**(-856\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -432, -640, -848, -1056?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 90*m + 664. What are the prime factors of n(30)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22996?\nAnswer: 2, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24240 divided by -134?\nAnswer: -12120\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 500.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times -78?\nAnswer: 21.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-376302)\/(-10630) + (16\/(-15) - (-2)\/3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -40*d + 23*d + 26*d. Give n(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508021?\nAnswer: 41, 36781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -21 + 27 + -4 + 0. What is the third derivative of 5 + 25*t**2 - 41*t**2 + 18*t**4 + 19*t**2 - x*t**3 wrt t?\nAnswer: 432*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-5)\/2)*-2. Let n be (0\/l)\/(2*1). Suppose n = -0*p - p + 2. Let y(w) = -w**3 + 2*w**2 + 2*w + 1. What is y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 41 = 4. Let d be 4\/2*1\/2. Sort d, 5, w in decreasing order.\nAnswer: 5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*r + 4 + (0 + 2 - 3)*(-3*r + 3*r + 2*r) - 2*r + 0 + 0)*(-3 - 1 + 5)*(8*r**3 + 12*r - 12*r) as j*r**3 + g*r + q*r**4 + w + i*r**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/30 and -43\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*b - 4*k, 0*k + 60 = -4*b - 3*k. What is the common denominator of -21\/10 and (-2)\/b*(1 + -66)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25497685, -50995371, -76493057, -101990743, -127488429, -152986115?\nAnswer: -178483801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 960298*p\/9 + 35528288\/9.\nAnswer: 2*(p - 480112)*(p - 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 324372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.927 + 0.073. Let k be (-2)\/4 - (-21)\/30. What is the closest to c in 3, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83763?\nAnswer: 3, 41, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 30*i + 3. Let m be l(15). Solve 5*v = 4*a - 25, 3*a = 2*v + m*v + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 6*i + 9. Let j be p(10). Let c = 44 - j. Is -5 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250974 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: Is 801429869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 9. Let z be c(-6). Let t be -78*(-612)\/1768*(2\/6 + 0). Sort 1, -5, z, t in decreasing order.\nAnswer: t, z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*o + 10 = 0, j + 2*o = -3*o - 25. Let y be 3\/(-3) - 2 - j. Suppose -n = y*n - 51. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuu when three letters picked without replacement from {f: 1, u: 4, k: 2, l: 4, m: 2, j: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*k + 26 - 49, 8*f + 23 = 10*k - 41 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + n + 3*n. Let q be (-3 - -1)\/4 - 7\/14. Give a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190628233*d*j - 242594714*d with respect to j.\nAnswer: 190628233*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/3 - (-4)\/6. Let k = g + 5. What are the prime factors of (4\/k - -264) + 3?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7106 + -12992. Let h = -70757\/12 - k. Find the common denominator of (-137)\/(-6) - (-2)\/(-6) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2*d - 25. Let p be t(4). Let l = 14.5 - 1.5. Let h = -10 + l. Which is the nearest to p? (a) h (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/5 - 78*z**3\/5 - 248*z**2\/5 - 168*z\/5 = 0.\nAnswer: -2, -1, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/3 - 427380*v + 1282135\/3.\nAnswer: 5*(v - 256427)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 + -0.04. Let s = a + -0.2. Let b = 5.4 + -5.8. What is the smallest value in b, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 4. Suppose -3*b + 2*h + 57 = -0*h, -2*h - 74 = -4*b. Suppose d - 13 = -b. Let n be z(d). Solve -5 = i - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0*b**2 - 4*b - b**3 + b + 2 + 2*b + 3*b**2. Let j be h(2). Let c(n) = n**3 - 4*n**2 + 3*n - 4. What is the units digit of c(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -32. Let b = -73 + z. Let x = b + 44. What is the closest to -9 in 1, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 327665?\nAnswer: 327665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**(2\/13))**39)**(-1\/7)\/(m**4*(m\/(m\/(m**(-7)*m)))\/m*m*m*m*(m\/(m**(-1\/2)\/m))**36) assuming m is positive.\nAnswer: m**(-741\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 15*y - 41. Let s be b(-11). Sort 4, -2, 27, s in ascending order.\nAnswer: -2, s, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjiji. Give prob of picking 3 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k - 114. Let n(s) = 2*s + 23. Let q(p) = 3*g(p) + 16*n(p). Let c be q(14). Calculate the highest common factor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32114 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306391996?\nAnswer: 2, 173, 442763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 808552 and 45998.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 13*s + 41. Give c(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*r + 2*o - 9, 5*r = 5*o + 5. Let g be 0 - (3 - 4\/1). Solve r*x = -3 - g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Suppose 3*h - o - 5 = 0. Suppose 2 + 2 = 4*j. Is h less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 + 1877. Calculate the highest common divisor of m and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*g - 150*g - 4*z = -395, 5*g - 4*z - 733 = 0. Is g not equal to 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1205*o. Let r(y) = -3*y**2. Calculate r(p(h)).\nAnswer: -4356075*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1449*p - 6828. Calculate o(5).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/124118866 and 25\/3106?\nAnswer: 124118866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -16 + (-4 - 13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*f**4 + (2*f - 2*f - f)*(-2*f + 2*f + 7*f**3) - 3*f**4 - 2*f**4 + 6*f**4.\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/217313 + -7179081\/280768396. What is the common denominator of -29\/684 and z?\nAnswer: 11628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382375859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*3)\/(-2*sqrt(125)).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 22\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -1 - 1. Let h be s\/(-2)*(-1 + 2). Let q be h\/(2 - (0 + 3)). Let n(i) = i**3 - i**2 - 1. Let b(u) = -8*u**3 + 6*u**2 + 7. Calculate q*b(p) + 6*n(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22231*c + 1108*c**4 - 22231*c + 0*c + 0*c - c**4 - c**4 - 2*c**4 + 4*c**4 + 3*c**3 - 3*c**3 - c**4 + (-2 + 2*c + 2)*(4*c**3 - 2*c**3 - c**3).\nAnswer: 1109*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-6*(3*sqrt(117) + sqrt(117) - sqrt(117)) + sqrt(117))*4)\/((sqrt(144) - 2*sqrt(144))*-2))*-2.\nAnswer: -4 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -365214.106 - -364876. Let s = 352.2 + t. Let w = s - 14. What is w rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101110111011110010 (base 2) to base 6.\nAnswer: 13423350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from nxeedxdfqxex.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.9 (b) 4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -121\/35919, 12 in decreasing order.\nAnswer: 12, -121\/35919, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*q = -8783, q - 540 - 3859 = -2*r. Let x(w) = -4*w**2 + r*w**3 + 13*w - 4 - 23*w + 11*w. Let y be x(-4). Round y to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5540723 rounded to 2 dps?\nAnswer: -3.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -22*q**3 - 3*q**2 - 156*q - 410. What is k(-3)?\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 291847, 583762, 875701, 1167664, 1459651, 1751662, 2043697?\n\"Answer: 12*p**2 + 291879*p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8620?\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.073990377?\nAnswer: -0.0073990377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + 3*b**5 + (-3*b + 2*b**4 + 3*b)*(-3*b + 14*b - 2*b) + 0*b + 0*b - b**5.\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30130045 (base 6) in base 5?\nAnswer: -204222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 655 and 115.\nAnswer: 15065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 8*h - 1. Let z(b) = -2*b**2 + 9*b - 1. Let v(u) = 7*j(u) - 6*z(u). Let s be (8\/6)\/((-16)\/24). Does 12 divide v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, x: 3}. Give prob of picking 2 l and 1 x.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 739 divide 562115916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 13 - n - 2*n**2)*(n + 2*n - n)*(554 + 520 - 1122).\nAnswer: 192*n**3 - 1248*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*y - 146 = 196. Solve 4*v = 2*w - 16, 2*w + 2*v = -y*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240035447 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.8913 years to decades.\nAnswer: 77.48913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -465067282 and -0.3?\nAnswer: 465067281.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*h + 3*h + 65 = 0, 0 = 4*h. Let d be (-10)\/(-25) + (-126)\/(-10). What is the greatest common divisor of c and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oew when three letters picked without replacement from {w: 1, j: 1, o: 6, b: 8, e: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, -2\/5, 11.4, 0.4, -2 in descending order.\nAnswer: 11.4, 0.4, 0.1, -2\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000083598 to seven dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 214, 854, 1920, 3412, 5330?\n\"Answer: 213*d**2 + d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*k = 5*n - 238, 5*n - 3*k = 577. What is the remainder when n is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30873371*h**5 + 6911052*h wrt h.\nAnswer: 617467420*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.199 in -3\/4, -8, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - a02?\nAnswer: -a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0, -2, 3, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/(-2) - (-40)\/(-2). Let i = v - -76. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*-5*(-3)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 1\/8, 5.\nAnswer: -2.6, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 400 = 390. Put -40, 4, 5, y in decreasing order.\nAnswer: 5, 4, y, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 698922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 - 12860*s**2\/3 - 180334*s\/3 - 210504.\nAnswer: 2*(s - 6444)*(s + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 45, -0.08 in decreasing order.\nAnswer: 45, -0.08, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-1176)*(-105)\/(-3).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4*(-4)\/(-3). Suppose b + 1 = -j, 2*n - b - 11 = 0. Let d be (-2)\/(-4)*n + 1. Solve d*o + 12 = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*a + 54, -a = 5*o - 5*a + 77. Let t = o + 6. Is (12\/(-7))\/(1\/t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 0)*(-y**5 - 2*y**5 + 4*y**5) + (2*y**2 - y + y)*(-y**3 - 3*y + 3*y).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 25. Let l(x) = -11 + 9*x + 4*x + 4 - x**3 + b*x**2 + 2*x. Let j be l(7). Solve -p + 12 = 2*v, -v - p + 8 = -j*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 658 and 1184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 21*k + 7\/6*k**3 + 0 + 3\/2*k**2. Let l be f(-7). Is l >= -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74*g**2 - 196*g**2 - 66*g**2 + (14 - 43 - 12)*(-2*g + 2*g + 2*g**2).\nAnswer: -270*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308031979 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 14*r**2 + 49*r + 32. What is h(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1167, 4796, 11065, 20154, 32243, 47512?\nAnswer: 66141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 396 - 408. Let x = -6 - -10. Let o be 41\/x + 3\/j. Solve 2*z = -4*d + 7*d - o, -z + 5*d - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-426)\/(-24) + 6\/(-8). Let q(u) be the third derivative of u**5\/60 - 17*u**4\/24 + 7*u**3\/6 + 6*u**2. What are the prime factors of q(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5414338 and -0.5.\nAnswer: 5414337.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1861, 5.16?\nAnswer: 1861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1518*v**2 - 19*v + 64. Is p(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**4 + 0*l + 0*l + 6*l**4 + 0*l**4 - 3*l**4 + (14 + 4*l**3 - 14)*(-12*l - 4*l - 3*l).\nAnswer: -77*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-296)\/555).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/100 and -53\/6.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/255*17*1\/(-31)*1?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 9. Let y(c) = 15*c**2 + c - 2. Let q be y(1). Let x = q - 7. Calculate h(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2191*s**2 + 1151*s**2 + 1116*s**2.\nAnswer: 76*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 - 26*c - 82. Let s be g(9). Calculate the greatest common factor of s and 20381.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 + -0.07. Which is the second smallest value? (a) -5 (b) -8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 32*f**2 - 36*f + 103. Let m be i(33). Let h(p) = p**2 + 3*p - 23. Let k be h(m). Solve -2*o + j - 11 = 0, -3*j = k*o + 2*j + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310 (base 4) to base 11\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - y, -4*y = 5*s + y - 50. Suppose -s*w = -8 - 2. Solve -a - b + 5 = 3*a, w*a = b - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 458 = 3*d - 2176, 5*x - d - 6602 = 0. Is x a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51255048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12423 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o - 2. Suppose -2*k + 4*s = 28, 0 = 5*s - 15 - 5. Let h = -10 - k. Let t(z) = -z. What is h*t(m) - r(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329716 or 329715?\nAnswer: 329715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -18*(-30)\/18*2\/6. Find the first derivative of -11 - 78*a**4 - 49 + r*a**4 wrt a.\nAnswer: -272*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzjijsjzzzzi. Give prob of sequence sj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9))**(-1\/29) assuming g is positive.\nAnswer: g**(9\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18438391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -228*(4564\/(-168) - -27)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + 613*r**2 - 1254*r + 67. Calculate g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16112\/1824 + (-2)\/24*-2 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 626 and 690478?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**8*r*r)\/(r*r\/(r\/r**(-2\/49)))*(r*r*r**6)\/(r\/r**(-15)) assuming r is positive.\nAnswer: r**(-635\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3160250308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159690 and 8?\nAnswer: 638760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 16*j**3 - j**2 - 6*j + 4. Let o(h) = -h**3 - 19*h**2 - 2*h - 36. Let l be o(-19). What is the units digit of w(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 46 = -3*s. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*f + 595 - 595)*(51 + 27 - 36).\nAnswer: 4242*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 13*v - 62 = -30*v + 47*v, -14*i - 254 = v for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.1 - 1.1. Which is the smallest value? (a) d (b) 0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - 84\/(-49). What is the second derivative of 2*a**r + 34*a - 17*a + 9*a**2 wrt a?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 5*q - 4*q)*(0*q + 3*q + 3*q) - 25 + 2*q**2 - 80*q + 80*q.\nAnswer: -22*q**2 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.9 + -23.8999881. Round n to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -701, -1409, -2137, -2885, -3653, -4441?\n\"Answer: -10*r**2 - 678*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 6*j - 1. Let y(b) = 2*b**3 + 12*b**2 + 41*b + 34. Determine 12*g(r) - y(r).\nAnswer: -2*r**3 + 31*r - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 3:44 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 3. Let d(w) = -w + 9. Let f be d(s). Let y(c) = 4*c + 0*c - 7 + f*c + 15 - 6*c**2. Let t(l) = 4*l**2 - 5*l - 5. Determine 8*t(j) + 5*y(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.014 - 11. Let z = -0.414 + w. Let p = 24.8 + -25. Which is the third smallest value? (a) z (b) p (c) -1\/9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 8*j - 1. Calculate s(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10463199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 + -346. Let s be (-4)\/14 - 152\/56. Let j be (-10)\/s + 3\/(-9). What is the second smallest value in j, 0.11, l?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*b + 21*b + 10 = -f, 9*b - 18 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.701cm in nanometers?\nAnswer: 1247010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - sqrt(40)\/sqrt(8)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15) - 8\/(-10))\/((-1)\/17)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -340 > -340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 12 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4f (base 16) to base 11\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**5\/5 - q**4\/6 + q**3\/6 + 2*q - 2. Let n(c) be the first derivative of y(c). Suppose -22*d + 27*d = 5. Calculate n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 143*n**4 + 6*n**3 - 3*n + 230. Let i(b) = -143*b**4 - 8*b**3 + 4*b - 229. Let z(w) = -4*d(w) - 3*i(w). Find the first derivative of z(j) wrt j.\nAnswer: -572*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 = c, 4*f - 4*c - c = -29. Let n be (6903\/(-708))\/((-52)\/16). What is the biggest value in f, -5\/6, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*c, -3*j - 112 = 5*c - 99 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*w - 3*w + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/90)\/(7*(-18)\/(-3465)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*7 - 45\/(-18). Let y(i) = -i**3 + 5*i**2 + 11*i - 13. Let s be y(k). Solve 4*a = 1 - s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60440 divided by -40\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273058840 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*o**2*y**3 - 13*o**2 - 2*o*y**3 + 18*o*y - 2*y wrt o?\nAnswer: -42*y**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 198 + 203 + 4621*y - 404.\nAnswer: -2*y**3 + 4621*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-273)*(168\/(-52))\/(-6)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34194*z - 34195*z - 5*k + 21 = 0, 0*z = -5*z - k + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3738, 30488, 103236, 244980, 478718?\n\"Answer: 3833*f**3 + f**2 - 84*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3539*v + 3547*v - 7086*v + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from {v: 1, k: 5, f: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12677 = 5*r - 2*b - 63818, r - 15299 = -3*b. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000026271 rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -152 + 15\/8*g**4 + 0*g + 43\/8*g**3 - 3\/40*g**5 + 33\/8*g**2. Factor h(w).\nAnswer: -3*w*(w - 22)*(w + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-18)*39\/2. Solve -w + 10 = x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.3. Suppose 5*d = 62*n + 315, 3*d + 12 = 83*n - 86*n. Sort d, o, 36 in ascending order.\nAnswer: o, d, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v - 15. Let r be u(9). What is the highest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -3\/5 (b) 0.1 (c) 0.4 (d) 0.01 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - 3*l + 1. Let k(g) = 2*g**3 - 3448*g**2 - 15*g - 1948. Let z(h) = -4*j(h) + k(h). What is the second derivative of z(m) wrt m?\nAnswer: -12*m - 6904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, i: 4, v: 2, l: 2, r: 2}. Give prob of picking 2 v, 1 r, and 1 l.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in -1, 0.186, 2\/41, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/30 + 4*b**2. Let a(p) be the second derivative of -4*p**3\/3 + 13*p. Calculate a(c(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqqqlqlll. Give prob of sequence qlql.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -57*y - 111. Let c be h(-2). Let d(w) = -4*w**3 + 5*w**2 - 5*w + 6. Let j be d(c). Is -212\/3 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fufu when four letters picked without replacement from {u: 7, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8049*y + 3219597. Determine c(-400).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 7 + 3 = c, -3*r - 2*c + 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 89 + 3*l - 91 + 14*l**2 - 13*l**2. Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/4 - 113139*b + 12800433321 = 0.\nAnswer: 226278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 20167.\nAnswer: 40334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 724, 773, 822, 871, 920?\n\"Answer: 49*f + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 113*i**2 + 384*i + 6834. What is the hundreds digit of h(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64713554869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 892*x**3 + 43992*x**2 + 13685680*x + 13640800 = 0. Calculate x.\nAnswer: -170, -1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 45. Let n(a) = 7*a**2 + 2*a + 1. What is the remainder when n(-2) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-16\/5)*x*x**(1\/5)*x)**(-13\/5) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.772 + -0.072. Let j = m + -5.70000067. Round j to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1248 = -4*u, u - 2*p = 2*p - 312. Let z = 305 + u. Sort 2, 4, -3, z.\nAnswer: z, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -4*u**2 + 3 - 1\/3*u**3 - 4*u. Let h(a) be the first derivative of c(a). Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29038290317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 9}. Give prob of sequence jkj.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((-6)\/(-3) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -79, -182, -285, -388, -491?\n\"Answer: -103*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 4*v**2 + v**2)*(-61*v - 61*v + 6*v) + (v + 2 - 2)*(9*v**2 + 5*v**2 - v**2).\nAnswer: -335*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**7\/21 + g**6\/60 - 3*g**5\/4 + g**3\/3 + 4*g**2 + 11*g. What is the third derivative of t(z) wrt z?\nAnswer: 240*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 879287 divided by -22\nAnswer: -879287\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 21*x**2 - 88*x + 178. Does 12 divide m(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16875 and 16401375?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 35*u**2 + 1463*u + 31. Let v be j(-26). What is v rounded to the nearest one hundred?\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*w + 59 = 0, -19*q + 16*q - 2*w = -27 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2534?\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-50)\/15)\/(20\/30). Suppose -2*h + 2 + 0 = -4*x, 0 = 3*h - x - 8. Solve h*b - 3*y - 26 = -2*b, 2*y - 16 = -o*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = h. Let z = h + -6. Put z, -4\/7, 2 in decreasing order.\nAnswer: 2, z, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 749*c**3\/3 + 904*c**2\/3 - 164*c\/3.\nAnswer: c*(c - 82)*(c - 1)*(9*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 18.08. Let o = x - -2.98. Let l = o + -2.2. What is the third smallest value in l, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - 36*p - 12. Let w be (1\/4 + 67\/(-12))*(-66)\/(-44). Calculate i(w).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 + (-7 - -10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -695334 + -1?\nAnswer: -695335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 89 (b) -0.2 (c) 5 (d) -88 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.764 - 93921?\nAnswer: -93892.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(((-220)\/(-35) - 6) + (-650)\/70). Let a(x) = -23*x + 1. Let p(m) = 6*m. Give j*p(z) + 2*a(z).\nAnswer: 8*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13773 is divided by 4583?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*a + 509*a = -343*a - 13320 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 59138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 6*x**2 + 6*x - 2. Let h be d(5). Suppose 51 = h*u - 36. Let g(a) = 3*a**2 + 14*a - 326. What is the remainder when g(10) is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11367 is divided by 453.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/2)\/((-7)\/(-14)). What are the prime factors of ((-18)\/l)\/((-6)\/40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t. Let b(q) be the third derivative of -307*q**4\/24 + 2418*q**2. What is b(a(v))?\nAnswer: 3377*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccocococvcoccoccc. What is prob of picking 4 o?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 75\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123.37 + -2.37. Let m = 120.99272 - l. What is m rounded to 4 dps?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 77.254855 and 42285?\nAnswer: 42207.745145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308913 + 35442 = 15*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -768.2 - -2322.\nAnswer: 1553.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 2. Let x(o) = 4*o**2 - o - 6. Suppose 2*p - 6*p = -12, 0 = -m + 3*p - 17. Let i be (-1 + m\/20)*5. Determine i*j(w) - 2*x(w).\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -64, -98, -140, -196, -272?\n\"Answer: -u**3 + 5*u**2 - 40*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -240*y. Let o(r) = r. Determine u(o(z)).\nAnswer: -240*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -646*r**3 + 6*r**2 + 114*r - 859 wrt r.\nAnswer: -3876*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 18*w**2 - 100*w - 105. Give t(-10).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -15*v**2\/2 + 14*v + 41. Let g be y(1). Which is the third biggest value? (a) -4\/9 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 16715508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*x + 279 + 392 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0 - 10 = 5*u, 4*u = -20. Calculate the remainder when 43 is divided by (-18)\/(-90) - ((-49)\/o - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/11 in 15\/163, 0.3, -0.3, 45, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeexeeeeeeexeeeeeeee. What is prob of picking 1 e and 1 x?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4343 is divided by 537.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 40?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20014410 (base 5) in base 14?\nAnswer: 41568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 - (-1)\/(2 - 25\/15). Suppose -3*h - 2*a = -70, 2*h = 4*a + 51 + 1. Let c = h - g. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038616 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 4*c + 40, 100 = -2*z + c + 110 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*x + 50053, -5*t + 135055 = 3*x - 115261. What are the prime factors of t?\nAnswer: 5, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z - 77. Let g be q(-8). Let u(o) = o**2 - 3*o + 13. What is the remainder when 623 is divided by u(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 234\/91*(-126)\/27\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56239\/35 + 1607. Let t = 83\/63 + -8\/9. Let y = t + o. What is the second smallest value in 6, -4, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, -2\/5, 1, 0.5, -10 in descending order.\nAnswer: 1, 0.5, -0.17, -2\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297003 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y + 74 - 60 + 7*y**3 - 6*y**3 in the form u*y + k + v*y**3 + i*y**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppppwppppppppppppwp.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 15. Suppose s = -n*s. Let i(p) = s - 5*p + 4*p + 1. Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 6. What is h(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 129 = -2*v + 22, -4*v = z - 39. Calculate the remainder when 550 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from poopwwqqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 29. Suppose -k*j - 53 + 53 = 0. Solve 0 + 2\/9*q**3 + j*q - 4\/9*q**2 = 0 for q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/5)\/y*y\/(y*y\/((y**(-2)\/y)\/y))*y)\/(y**(4\/5)\/y**(-1)) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1961 = -69*j - 352 - 1569 + 1053 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 + 5*i - 10. Let q be p(-7). Let f be q\/(-16) + (2 - (-37)\/4). Solve -2*h = 4*u + 18, 2*u - 2*h = h + f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145236, -3, -7 in decreasing order.\nAnswer: -3, -7, -145236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - h + 2*h + 0*h)*(49*h**2 + 65*h - 12*h**2 - 62*h) to the form x*h**2 + o + c*h**3 + q*h and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(414\/(-4)))\/(22\/1881)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p. Let u be (-390)\/325 + 12\/10. Let g(r) be the second derivative of u*r**2 - 6*r + 1\/6*r**3 + 0. Calculate h(g(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(36)\/sqrt(4)))\/(sqrt(16)\/(sqrt(8)*2) + sqrt(2)) - (4*(-1 + sqrt(19))**2 - sqrt(608)\/sqrt(2)).\nAnswer: -80 + 38*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 10. Let f = -14 + t. Suppose -5*o + 1 = 4*i - 1, -4*i = -f*o + 18. Solve 3*w + 2 = o*b + 5, 3*b = 4*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -88. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 17\/((-187)\/22). Which is the smallest value? (a) j (b) 28 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let a(v) = 124*v**2 - 15*v - 11. Let x(n) = -3*n - 2. Let m(f) = -a(f) + 5*x(f). Give l(m(b)).\nAnswer: 30752*b**4 - 496*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -4\/135, -632, 0?\nAnswer: -632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*s + 4. Suppose s = 6*a - 8*a + 9400000. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/7 - 96\/392*(-168)\/8. Which is the nearest to -178? (a) -1\/11 (b) 4 (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = x - 60. What is the least common multiple of 15 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10189787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 6*u - 3. Let o be l(3). Let v = o - 20. Let i = v + 32. What is the remainder when 34 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 1542*x**2 + 7705*x - 84. Let n(m) = 1542*m**2 - 7705*m + 63. Let g(h) = -4*n(h) - 3*w(h). Find the second derivative of g(q) wrt q.\nAnswer: -18*q - 3084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = -2*m, q = -q + m - 5. Let h(x) = -2*x**2 + 2*x + 1. Let p(y) = -y**2 - y. Give q*p(d) - h(d).\nAnswer: 5*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35940 = 3*a - 0*a. Suppose -4*m = -2*s + m + a, m = 2*s - 11996. Round s to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 24. Let n = s + -17. Solve x + n*x - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**2 - 54*c - 84. Determine n(-10).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 - 2*w)*(3*w + 204 - 204 - w) to a*w + o*w**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/64076 or 0?\nAnswer: 1\/64076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2 - 2. Let d = 4 + h. Calculate the smallest common multiple of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1\/18, 12 in decreasing order.\nAnswer: 12, 3, 1\/18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.77 + 0.161.\nAnswer: 11.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*p**2*r**4 + p**2*r**2 - p*r**4 + 37*r**3 + r**2 + 403 wrt r?\nAnswer: -192*p**2*r - 24*p*r + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 3, -4, -1 in increasing order.\nAnswer: -4, -1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.5 (c) 3 (d) -106\/23 (e) 4 (f) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32145833 greater than 32145809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7670)\/(-520) + 9280\/256?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + 1.49. Let p = u - 1.2. Let f be (10 - 0)*(-2)\/(-8). Which is the biggest value? (a) p (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-130) + (12352\/33582)\/(26\/3)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 0*s + 0*s + (0 + 4 - 3)*(0*s**2 + 0*s**2 + s**3) + 0*s**3 - 3*s**3 + s**3 - 36786*s**3 - 4 + 3 + 2*s**2 - s + 36528*s**3.\nAnswer: -261*s**3 + 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -26*c - 4. Let s(y) = 32*y + 5. Let f(g) = 5*k(g) + 4*s(g). Let z be 6\/2 - (1 + 1). What is f(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b + 49. What is i(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 44. Let h = 25 - f. Calculate the least common multiple of h and (-4)\/(-1) + 2 + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 16, -0.0816223, -3, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100244785.\nAnswer: 5, 1163, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -94264*r**3 - 8 + 94262*r**3 - r**2 - 7*r + 10*r**2. Let i(d) = 2*d**3 - 8*d**2 + 6*d + 7. Determine -6*g(y) - 7*i(y).\nAnswer: -2*y**3 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 12:43 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (41 - 37 - (0 - -2)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1014194057, -1014194058, -1014194059, -1014194060, -1014194061?\n\"Answer: -q - 1014194056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3945 - 252393\/64. Find the common denominator of j and -67\/36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25519 = -l, -17*l + 2*i - 127685 = -22*l. What are the prime factors of l?\nAnswer: 3, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + o**2 - 5*o**2 + (1 - 1 + 4*o)*(-3*o + o - o) + (0 + 2*o + 0)*(o - 2 + 2).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:01 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248208 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4098 + 14668 = 0. Let w = 6985 + g. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11455027 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 2591401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562319187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1036.94 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*a**2 + 9*a**2 - 257*a**2.\nAnswer: -374*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30597*q + 320 = 30577*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(320) + 0 + sqrt(5) + 2.\nAnswer: -7*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i + i**5 + 0*i**5 - 4*i + (-6 - 3*i**2 + 6)*(0 - i**3 + 0).\nAnswer: 4*i**5 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from {t: 4, x: 2, i: 11, f: 2}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2. Let z(w) = 73122*w**2. Give z(n(a)).\nAnswer: 73122*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-118)\/84 + 200\/350. What is the fourth biggest value in b, -2\/5, 4, 0.24?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531931.392 rounded to the nearest ten?\nAnswer: -531930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 179. Which is smaller: c or 1\/220?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168.97 + 169.01. Which is greater: -1377 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 * 5\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -193*k + 102*k + 96*k + 264 for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 7) to base 2.\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 108314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmdddmdd. What is prob of picking 4 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 30. Suppose -9*m - 50 = -p*m. Let q(o) = -o**3 - 2*o**2 - 2*o + 1. Let b be q(-2). Calculate the highest common factor of b and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -361636 in descending order.\nAnswer: 0, -3, -361636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -743 + 1571. What is the highest common divisor of b and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4 - 749*j**3 - 9*j + 1.\nAnswer: 12*j**2 - 4494*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(242).\nAnswer: 3 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(44\/(-1232))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 26. Suppose 0 = 5*o + a - 39, 2*o + g + 1 = 5*a. Let c(b) = 26*b + 9. Is c(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -23, -56, -105, -176, -275, -408?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -2*l + 175. Let n be ((-2)\/5)\/((-21)\/l). What is the nearest to -1\/3 in n, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -69, -127, -187, -237, -265, -259?\n\"Answer: 2*d**3 - 19*d**2 - d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29794347 + 14461970. Let g = p + 15332389.0000004. Let y = g - 12. What is y rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17413821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87 + -2690b?\nAnswer: -26996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 6 = 4*a - b, -2*a + 3*b + 6 = 0. Let k(s) be the first derivative of 1 + 1\/2*s**4 + 0*s**a + 0*s**2 + 6*s. Differentiate k(t) wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 3*y - 7, 6*y = -5*g + 3*y + 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1\/4 (c) -4 (d) 526 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -37*w**6\/120 - 5*w**3\/2 - 33*w**2 + w - 197. Let k(d) be the second derivative of m(d). Differentiate k(c) wrt c.\nAnswer: -111*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*c**3 - 23*c**4 + 1116*c - 31*c**4 - 408*c**2 + 22*c**3 + 72*c**4 - 19*c**4.\nAnswer: -c*(c - 31)*(c - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 - 264 - 309 - 264 - g**3 - 258 + 1361.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.0263\nAnswer: 0.0263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n + g, -2*g + 2 = 2*n - 7*g. Is 2 a factor of 22 + (n - 1 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*q**2 - 579*q**2 + 1485*q**2 - 453*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1064 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 26*t + 2 = 0, 5*v + t = -481. Let z = 352 + v. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -919 + 909. What is the units digit of (-5746 - r)\/(-12)*(0 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-83 + 122) - -43?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - -1*sqrt(1280))*2)\/((sqrt(324) - sqrt(324)*3) + sqrt(324) - sqrt(24)\/(sqrt(24)\/sqrt(4))).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 168 + 0?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625799 is divided by 69533.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121340 and 20176.\nAnswer: 612038960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7537952.11 to the nearest ten thousand.\nAnswer: 7540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12191587627 plus 117?\nAnswer: 116.87808412373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*(-1)\/2)\/((-69)\/(-92)). Let g(w) be the second derivative of x*w + 7\/12*w**4 + 0 + 0*w**2 + 1\/3*w**3. Find p such that g(p) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3 - 1) + -4)\/(-2). Solve -j*o + 4 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83.0000047 + -83. What is n rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2743611 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 - 46*c**2 + 4704*c + 56154. Calculate a(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 7594264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994*k = -5363 + 6588 + 10703 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 315803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118\/93 - 659\/2046. Suppose 5*c = -16 + 211. What is the common denominator of t and (c\/(-5))\/((-126)\/(-15) - 8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4131 is divided by 1914.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*b - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - 0 - -1 - (-3806 - -3777)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 288 = 6*h. Calculate the greatest common divisor of h and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + i + 13. Let d be y(-3). Let x(t) = -39*t. Let m(b) = 40*b - 1. Let h(j) = -2*m(j) - 3*x(j). Is h(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -411912.093 - -412083. Let k = 171 - l. Let y = k - 0.093. Which is the third smallest value? (a) 2\/25 (b) -1 (c) -2\/5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/484 and 41\/352.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*k = -3950 + 2746 - 10055 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*y**2 - y - 522.\nAnswer: 112*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -26*g + 5*g - 7*g. Let m(p) = p**2. Calculate l(m(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.1 - 42. What is the closest to 0.1 in -2\/9, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*x + 54, 3*x + x - 18 = -2*v. Suppose 0 = 2*c + c - v. Let y(r) = 2 + 0*r + c*r - 5 + 6. What is y(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 a when four letters picked without replacement from uuuuuuua?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328 - 324. Factor 7*l**o + l**5 - l**4 - 30*l**3 + 3*l**4 + 2*l**5.\nAnswer: 3*l**3*(l - 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49964383 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 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: Suppose -2*x + 5*o - 34 = -29, -2*x + 2*o + 4 = 0. Suppose 0 = -2*y + x*c - 12, 4*c = 4*y + 5*c + 2. Which is greater: y or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, 1, -22 in decreasing order.\nAnswer: 157, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 90*m**3 - 2*m**2 + 25*m + 12. Let j(f) = -181*f**3 + 4*f**2 - 52*f - 30. Calculate -5*i(k) - 2*j(k).\nAnswer: -88*k**3 + 2*k**2 - 21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.4 + 14. Let o = 0.8 + -1. What is the smallest value in -2, z, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 12\/(-9))*0. Is 39 - (-1 - (b + -2)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -779232\nAnswer: -1558464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 176, 197, 172, 101?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**2 + 42*t - 11862. Let z(o) = 2*o**2 + 9*o - 2372. What is -3*d(x) + 14*z(x)?\nAnswer: -2*x**2 + 2378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(2))**2*-4.\nAnswer: -48*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxmo when four letters picked without replacement from {m: 3, v: 3, x: 3, o: 8, a: 2}?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyo when three letters picked without replacement from {h: 3, y: 5, u: 7, o: 4}.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2 - 93081462*f - 722013214004787 = 0?\nAnswer: -15513577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = 2*d, 2*d - 3 - 1 = -5*y. What is the least common multiple of d and (24\/54)\/(1 + (-172)\/180)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2807*x**3 - 13*x**2 - 28*x + 52. Let c be a(27). What is c rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042917858 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 108, 111, 124, 153, 204?\n\"Answer: o**3 - o**2 - o + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -460*c**5 + 39*c**5 - 392*c**5 + (-2*c - 2*c**3 + 2*c)*(c**2 - 1 + 1).\nAnswer: -815*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-763)\/(-28) + -26)*-2 - 6\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311667325.\nAnswer: 5, 12466693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6912772*j**5 + j**4 + 3*j**3 + 22*j**2 - 44*j - 289 wrt j.\nAnswer: 414766320*j**2 + 24*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 15\/46 (b) 0 (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 + 6*r**2 + 11*r + 4. Let l(x) = -6*x**3 + 7*x**2 + 12*x + 5. Let t be 165\/(-66) - 33\/22. Determine t*l(y) + 5*d(y).\nAnswer: -y**3 + 2*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153544128 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + -8 - -6) + (260\/(-14))\/((-177)\/(-1239)).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/54)\/((60\/(-18))\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*z + 20*z + 483. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 7*k + 6. What is the remainder when b(-15) is divided by (-428)\/(-20) + 119\/(-35) + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 381 + 3*h - 3*h - 2*h**2 - 131 + 432 to a*h + z*h**2 + n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 2*j + 6. Let k be c(-3). Solve -2*w = -w - 4*y + 17, k*w - 4*y + 11 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*f**2*p**3 + 795*d*f**2 - 21945*d*f*p**4 - 50*d*f wrt p.\nAnswer: 6*d*f**2*p**2 - 87780*d*f*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 2. Suppose 0 = n - 4*m - 26, 4*n + 9 - 57 = 2*m. What are the prime factors of r(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 264?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:56 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2663*k**3 - 15*k - 6. Let y(i) = -2667*i**3 + i**2 + 12*i + 5. Give 4*x(u) + 5*y(u).\nAnswer: -2683*u**3 + 5*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*w**2 + 685 + 1295 - 953 + 1123.\nAnswer: 163*w**2 + 2150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61281424\/315 + 194544. Let z = -220\/3 - -2566\/35. Let y = p + z. Which is the nearest to 0? (a) y (b) -2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 2, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/42 and -50\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Let v be (-5)\/((-30)\/q)*-3. What is the second derivative of 3*a**2 + 4*a**4 - 9*a + 10*a - 3*a**v wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2. Let q(m) = 2 + 5*m + 3*m + 5*m + 25*m. Calculate b(q(n)).\nAnswer: 4332*n**2 + 456*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3353196 by 133.\nAnswer: 25212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 775203*k**3*y**2 + 77*k**3*y - k**3 + 2*k**2 + 3694*k - 516 wrt y.\nAnswer: 1550406*k**3*y + 77*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82539631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 9*w**3 - 24*w**3 + 34*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15942 + -15258. What is the greatest common factor of v and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (335\/(-536))\/((-12)\/(-32)*-2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-133)\/(-9) - (-3)\/((-81)\/(-6)). What is the greatest common factor of 120 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l + 72. What is i(29)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 216*d - 194*d - 473*d in the form h + c*d and give c.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 25*c - 279. What is the hundreds digit of t(-51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3\/4*17\/((-918)\/(-3786768))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4)*-1) - sqrt(11) - (sqrt(88)*-1)\/sqrt(8).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.371132 rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 75 - 9)*(-5 + 8 + 6)*(6*w**2 - 2*w**2 - 2*w**2 + (2 + 1 - 2)*(1 - 1 + 2*w**2) + 0*w**2 + 2*w**2 - w**2 - 1 + 1 - 2*w**2).\nAnswer: -2538*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000223426 rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000131782 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 957 and 9218520.\nAnswer: 101403720","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 23 - (-7)\/(7\/(-4)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1237*p + 2472 = 44530 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**7\/210 - d**6\/40 + 3*d**4 + 13823*d**3\/6 - 371*d**2. Differentiate m(t) wrt t.\nAnswer: 4*t**3 - 9*t**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s - 26*s = 126. Sort 0, 1, s in ascending order.\nAnswer: 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 0.3. Let l = 0.7 - a. Let o = 0.6 + l. Sort -4\/9, o, -2\/5 in descending order.\nAnswer: o, -2\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. What is the remainder when 21\/(-63) + 1 + 25\/3 is divided by -1*(10 - a)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12578*r + 11011 wrt r?\nAnswer: 12578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 250998 + 71293 = 0. Let u = k - 23968. Suppose 0 = 3*a - u + 573. Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+5540823\nAnswer: 5540824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {x: 2, n: 6, j: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 27 = 3*s. Let l(b) = 13*b**2 + b + 21. Let p be l(s). Let z = -614 + p. Calculate the highest common factor of z and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1702913, -3405813, -5108713, -6811613, -8514513, -10217413?\nAnswer: -11920313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -8*q + 15. Suppose -4 = -q*a + 26. Suppose -a*l - 9*l = -165. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51138?\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -36 + -2 + 0. Let j = d - -36. Suppose j*t - 913 = 6272. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((12\/(-18))\/((-8)\/(-12)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + t = 12 + 1, 5*t = 2*b + 33. Let z = b + 17. What is z rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 12*i**2 + 12*i - 6. Let m be k(5). Solve -u = -2*u + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + -0.46. Put -2, t, 1, 1.2 in decreasing order.\nAnswer: 1.2, 1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 204\/5, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*j + 74*j + 687*j + 384*j + 516*j as z + t*j and give t.\nAnswer: 1556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19022960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36416*j**2 + 153*j**3 + 36416*j**2 + 24*j**3.\nAnswer: 177*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 58*n**2. Let h(c) be the third derivative of -33*c**2 - 1\/24*c**4 + 0*c**3 + 0*c + 0. Give h(a(m)).\nAnswer: -58*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 516? (a) -1.4 (b) -0.1 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54331 (base 7) to base 3.\nAnswer: 200120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2923 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*l + 656*l + 2017 = 193*l - 2547 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by 2?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 take away -2887.2?\nAnswer: 2887.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29528531?\nAnswer: 29528531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 109. Let g = -32 - c. Calculate the remainder when 88 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from zzzppzzzzzzzzzpz?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**5 - 115*u**4\/2 + 865*u**3\/3 - 530*u**2 + 420*u + 2931. Let t(h) = 0. What is h?\nAnswer: 1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1070 - -8?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d + 9 = 0. Let t(k) = -5*k**2 + 2 + 8*k**2 - 6*k**2 - k**3. Let c be t(d). Solve -24 = 4*f - c*j + 6, 4*f - 3*j = -35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145558740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 14*b - 10. Suppose -4*t = -3*y - 135, 2*t + b*y + 129 = 6*t. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503646759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + h - 45 = 0, 0 = 3*b + h - 27 - 7. Solve 3*y + 8 = b*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 11814.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*g - 15 = 0, -2*g = g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -0.92315.\nAnswer: 0.72315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/4 - v**4\/2 - 7*v**3\/4 - v**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 2*f**2 - 3*f**2 + 2*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*v - 87, -10*c - 119 = -15*c + 4*v. Sort c, 2, -1 in decreasing order.\nAnswer: c, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -431 - b?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -43, -72, -107, -148, -195?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*c**3*p**3*u**3 + 2*c**3*p**2*u**3 + 7*c**3*p**2*u**2 - 2*c**2*p**2*u**3 - 2*c**2*p**2*u + 2*p**3*u**3 wrt p.\nAnswer: -210*c**3*u**3 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 7*j**2 + 7*j + 7. Let v(r) = r**3 + 8*r**2 + 8*r + 8. Let p(x) = 5*n(x) - 4*v(x). Determine p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 10. Let o be a(0). Let m = o - 6. Suppose -m*k + 3*y = -144, y - 4*y = 2*k - 90. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -587*f**2 - 312*f - 627. Let k be y(-2). Which is smaller: k or -2354?\nAnswer: -2354","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17243 (base 8) to base 12.\nAnswer: 4657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3)*-2 - (sqrt(16) - sqrt(144)\/sqrt(9))\/sqrt(8))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f + 0 - 2\/9*f**3 + 1\/3*f**2 + 1\/18*f**4. Factor i(s).\nAnswer: 2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 8. Suppose 0 = 3*z - 0*z - x. Suppose -z*m + 10 = -0. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 1 (c) 4\/7 (d) 41 (e) -2\/155\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14694000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 1\/434, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 25\/96*s**4 + 0*s + 11*s**2 - 5\/8*s**3 + 0 + 1\/24*s**5. Factor a(y).\nAnswer: 5*(y + 3)*(2*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 - 260 - 64 - 6*a.\nAnswer: -6*a - 532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65272 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17)\/(-34) + 1\/(-2). Suppose 4*p + f - 21 = c, -5*p + 3*p = 4*f - 14. Let k = 12 + p. Calculate the remainder when 33 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/40 + f**4\/8 + 5*f**3\/6 + f. Let g(q) be the second derivative of l(q). Suppose 0 = 5*a - 11 - 9. Give g(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -95, -142, -189?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (224\/(-170) - (-114)\/969) + (-63)\/(-15). Let 4\/9*c + 1\/9*c**s + 0 + 5\/9*c**2 = 0. What is c?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*y - 50. Suppose -3*i + 3*b = 6*b - 49071, -3*i = -y*b - 49055. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 20 = 2*s, -29*s + 14 = -28*s - 3*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1 - -5483 - (51 + -61)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 4. Let u(x) = -4*x**2 + 4*x**2 - r*x**2. Let m(i) = i. Give u(m(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 - 67201638*y + 376338345823587 = 0. Calculate y.\nAnswer: 11200273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12554.\nAnswer: 2, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7454 or 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 49504 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.1 (c) 2\/23 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - y. Suppose 7*l + 133 + 21 = 0. Let q(s) = s**3 + 23*s**2 + 23*s + 24. Let u be q(l). Determine i(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*y + 349*y = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*r = -12*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 - z + z + 2*z**4 + 2 - 2 + (-1 + 1 - z**3)*(z + 2 - 2))*(84 - 1311*z - 84 - 1515*z).\nAnswer: -5652*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 685868, 1371736, 2057626, 2743550, 3429520, 4115548, 4801646?\n\"Answer: 2*b**3 - b**2 + 685857*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 1099 = -14*t. Suppose v = 156 - t. Let j(k) = 31*k**2 + 4*k + 5. Let p be j(v). What is p rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from eeweweeeudeued?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 0.5. Let g = 140406.9 + -140407. Which is the closest to g? (a) o (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + -5 + (sqrt(432) - (sqrt(432) + -3*sqrt(432)))*5)*-1)**2*6.\nAnswer: 14580000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 108, 245, 436, 681, 980?\n\"Answer: 27*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:04 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6188426*j**2 + 4316911 wrt j.\nAnswer: 12376852*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 2217*g**2 + 22261*g - 20043.\nAnswer: -(g - 9)*(g - 1)*(g + 2227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4861, 4859, 4853, 4843, 4829, 4811, 4789?\nAnswer: 4763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 28568986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.067 and -228878817185.7.\nAnswer: -228878817185.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -23, 4, 3, 39 in descending order.\nAnswer: 39, 4, 3, 0, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by (10\/4)\/((-20)\/(-304)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -420144400?\nAnswer: -420144403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 10*x - 6*x - 3*x in the form a*x + g and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -67 - ((11 - 0) + -8 + -2)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 8*y - 15. Let q = -3234 + 3242. Give k(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/15)\/(-1))\/(-21)*-119\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*k + 48*k - 12*k**2)*(0*k - 4*k + 15*k) + (2*k**2 + 2*k - 2*k)*(1 + 1 + 0)*(0*k + 2*k + 0*k) to the form l + a*k**2 + b*k**3 + z*k and give b.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -99, -233, -419, -657?\n\"Answer: -26*h**2 - 4*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.91 + 16.671421549?\nAnswer: 18.581421549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 2038 and 2146 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -75. Suppose -12*r + h = 16. Solve -r = 3*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 38*p**2 + 9*p - 67. Let i(m) = m**3 - 20*m**2 - 5*m + 33. Let q(r) = -7*i(r) - 4*j(r). What are the prime factors of q(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/112 and 10\/2240*(6 + 216).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -16*i + 1479. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -14?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**3 + 3*w + 6. Let d(c) = -c + 1. Let u(k) = -6*d(k) - 2*f(k). What is the derivative of u(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + (-4)\/6. Let m be -3 + 28\/(-8)*-2 + r. Factor -23\/3*u**2 + 13\/3*u + 3*u**m + u**3 - 2\/3.\nAnswer: (u - 1)*(u + 2)*(3*u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.31671302 from 0.\nAnswer: -0.31671302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - 1.8. What is the closest to -2\/5 in w, 2, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672\/1344*(-16)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 480*k**2 - 13908*k - 29768.\nAnswer: -4*(k - 61)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 4*t**2 + 0*t**2)*(-t**2 - 3*t + 3*t + (2 + 0 - 1)*(-24455*t + 1103*t**2 + 24455*t))*(0 + 2*t + 0).\nAnswer: -4408*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2 + 2. Let p(r) be the first derivative of r**3\/3 + r**2 + r + 5. What is the units digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -17 + -12 - (-210)\/22\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 34829.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 212*d + 3432.\nAnswer: -4*(d - 13)*(d + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/5 (b) 0.2 (c) -1\/171 (d) -35 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Which is the smallest value? (a) -3 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 52*l**2 + 797*l + 1688. Determine d(14).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -79. Suppose -5*f = 4*h - 24, -5*h + k*f - 15 = -f. Which is smaller: h or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*k = -6178, 4*k - 6175 = -a + 6*k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 830453 and 14084?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(10\/7)*s)\/s**(-17)*(s**2)**(-2\/19))**(-31) assuming s is positive.\nAnswer: s**(-79236\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1292 and 3112105.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1141*v - 1932. Calculate r(-2).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 4, -9, -28?\n\"Answer: -3*d**2 + 2*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3234030819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p**2 + 615*p**3 + 10*p**2 - 656*p**3 - p + 1 to the form o*p + w*p**2 + c + s*p**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 116 and -1000821313.\nAnswer: -1000821197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 80*t**2 + 154*t - 76.\nAnswer: 2*(t - 38)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 o, and 1 d when four letters picked without replacement from {d: 4, g: 2, o: 7, f: 4, p: 1}.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -86, -12, -2, 4 in ascending order.\nAnswer: -86, -12, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*u - 3*b, 9*u - 4*b - 10 = 12*u. Solve 2*m = 5*p + 20, m - 11 = -2*p - u*m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 - 6*t**2 - 305*t**3 + 4*t**2 + 284*t**3 to g*t**4 + q*t**2 + m*t + a + d*t**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 - 185 - (-15 + (-1 - -3)) - -7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3248510395.\nAnswer: 5, 13, 3844391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -88239.0262 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*t**3 + 191*t**3 - 78*t**3 + 34*t**3.\nAnswer: 358*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 16 = m, -5*m - 8*q + 28 = -6*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395110271?\nAnswer: 395110271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l**14*l)\/l)\/l*l\/(l**(5\/2)*l))\/(l**(-4)*l*l\/(l\/((l*l**1)\/l))))**(-2\/21) assuming l is positive.\nAnswer: l**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -105. Let f(w) = 12*w**2 + w**3 - 13*w - 2*w**2 + 4 - 1. What is the remainder when n is divided by f(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/33)\/(7100\/(-39050))*60?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 730338 = 7*h - 18*h. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**3 + 305925*s**2 - 15*s**3 - 305925*s**2.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 15.5. Put -1, y, -0.2 in descending order.\nAnswer: -0.2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2) - (10 + -11). Let m be (3 + -2)*(3 + 1). Solve r = -4*y - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/(((-15)\/9)\/(-5)). Let j be (y + 3)\/(34\/187). Solve j = -5*w - 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**3\/6 - 171*v. Let m(u) be the first derivative of 2*u**2 + u - 1. Let c = -2 - -3. Give c*m(s) - 5*l(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213083854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*z**4 - 439*z**4 - 795*z - 18 + 784*z wrt z?\nAnswer: -4980*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 11*y**2 - 11*y - 5. Let f(t) = -2*t**2 + 24*t + 2. Calculate the remainder when v(12) is divided by f(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799678839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 636\/(-530)*(-10)\/4 + 1 + -4. Factor 1\/11*y**4 - 5\/11*y**3 + 6\/11*y**2 + i*y + 0.\nAnswer: y**2*(y - 3)*(y - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 - 28*y**2\/5 + 14*y - 44\/5.\nAnswer: 2*(y - 11)*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2519 + -3629. Let o = u - -1262.9. Let m = o + -160. Round m to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 514216827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from cuuqzux.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 11. Let r be m(9). Suppose r*g + g - 74 = -p, -p - g + 64 = 0. 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 (6\/(-18))\/((-40)\/(-160))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099384 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 2:16 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 2. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480 - -486. Let i(f) = 3*f**2 - f - 1. Let p(y) = 278*y**2 - 6*y + 275. Let v(j) = n*i(j) - p(j). Find the first derivative of v(w) wrt w.\nAnswer: -520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6771 - -6760. Suppose -2*h = 2*s, 2*h - 8 = 2*s + 8. Which is the second smallest value? (a) -0.8 (b) -3 (c) p (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174868.\nAnswer: 2, 293717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2*2\/2. Let w be c\/(-1031)*2\/(-1). Let v = w - 12358\/7217. Find the common denominator of v and -25\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30972188 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60002903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*p**2 + 417*p - 417*p)*(-2 - 3*p + 8*p + 3*p).\nAnswer: 440*p**3 - 110*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Suppose -p = 3*p. Let z = p - f. Calculate the highest common factor of 22 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 - 353*w + 353*w. Let u(r) = 12 - 12 - r. What is f(u(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**3 - 518*a**2 + 1457*a + 107820. Calculate y(-74).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.664741361 rounded to 3 dps?\nAnswer: -0.665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10994 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692186?\nAnswer: 2, 11, 73, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coo when three letters picked without replacement from coouooonn?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1935*s**2 - 22*s - 10. Is u(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p**3 + 0*p + 0*p**3)*(p + p**2 - p)*((4 - 2 - 1)*(5 - 3 - 3) - 2 + 2 - 4 + 3 - 2 - 2 - 3 + 0 + 2 + 2 + 1 - 2).\nAnswer: 12*p**5 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104380, 104371, 104356, 104335?\n\"Answer: -3*f**2 + 104383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*o - 13, -1057*o = h - 1059*o - 3 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 1:20 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 65581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2254 and 4034562.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36744 = 2*v + 36772 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/499 - -1489\/1996. Let r = -3723\/4 - -923. Find the common denominator of l and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/56 - 4\/14. Suppose -2*t = -v*t - 8. Solve 0 = 2*q + 4 + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/12 and 149\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/21))\/v*v*(v**10*v)\/v*v*(v\/(v*v**4))\/(v*v**(-2)) assuming v is positive.\nAnswer: v**(187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1889 divided by 119129.\nAnswer: -1889\/119129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (87\/87)\/(((-20)\/(-24))\/(95\/(-57)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 21 = 8*m. Let r(n) be the second derivative of 5*n**3\/6 + n**2 - 22*n. Let d(p) = 6*p + 2. Give m*r(a) - 6*d(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/2))\/(v*v\/v**(-6\/5)*v)*v**(4\/7)*v\/((v**(4\/9)*v)\/v) assuming v is positive.\nAnswer: v**(-1621\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*u + 3*b**2 - 13*b*u**2 + 10*b + 10127*u**2 - 27170 wrt u.\nAnswer: -2*b**2 - 26*b*u + 20254*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35629\/14748 + -1\/1229. Find the common denominator of v and -35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/((-140)\/245).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*l - 7761, -1578 - 3593 = -2*l - i. Is 54 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 7, -1, 4, 3 in decreasing order.\nAnswer: 7, 4, 3, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*p - 0*l + 315455, -4*l = p - 63106. Suppose -3*k + 62728 = 4*t, -p = -3*t - k - 16043. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705*t**2 - 252*t = 0. What is t?\nAnswer: 0, 84\/235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23321.6 + 23603.5921. Let t = y - -0.0079. Let c = 282.0000127 - t. What is c rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 515 - 740 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167292*q + 508 = 167546*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 50, 56, 64, 74, 86, 100?\n\"Answer: u**2 + u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*k - 106, -147*q + 150*q - k - 67 = 0. Let h(y) = y**3 - 24*y**2 - 2*y + 40. Determine h(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2*a**3\/3 + 11*a**2 - 29. Find the second derivative of f(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 469144.9l?\nAnswer: 469144900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 23ab?\nAnswer: -23aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.295 (c) 5\/9 (d) -3 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/(i\/i**(-1\/5))*(i\/(i\/i**(1\/4)))\/i**(1\/5))**13)**(-2\/9) assuming i is positive.\nAnswer: i**(-1261\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - -5 - (-31 + 19 + 15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f = 52*f + 5417180. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -19877*f + 79269. Calculate c(4).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56193184?\nAnswer: 2, 19, 29, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/38)\/(-57*136\/3876)?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb2b (base 15) to base 16.\nAnswer: -9ad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by -2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from quuuduuudduuuduuudvu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -319*s - 1104. Let f be y(-4). Solve 5*t - 202 = -f for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 1 + 1)*(5*y - 2*y + 0*y + y - 2 + 2 + (2 - 3 + 2)*(2*y + 3 - 3)) + 0*y + y + 11*y**2 + y.\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4, 1, 5, -31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 6662*q**2 + 1021020*q + 39582504.\nAnswer: (q + 78)**2*(q + 6506)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 358*0.4\nAnswer: 143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (26 - 26) + 11 + (32 - 14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*k - 1255, w + 2*k - 240 - 4 = 0. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475160877?\nAnswer: 3, 17598551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(54\/12)*((-378)\/(-7))\/18\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/11 + (-2)\/11. Suppose 4*c + 3*h = -5, 4*c + 2*h = -0*h - 2. Let g be 0\/(-3 - 2) + c. What is the closest to g in j, -2, 0.7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d = -7*d. Suppose d = -0*k - 6*k. Suppose k = 2*l - 5*t - 181, -4*l + 5*l - 4*t = 92. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Let a be v(-4). Let u = a + -1. Let z be (84\/(-6) - -11)*(-21)\/9. Solve -2*c = 4*q - u*c + z, 2*c - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 175*g.\nAnswer: -175*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*s - 30 + 8 = 0, 2*v - 12 = 4*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1200 - 1135. Calculate the remainder when o is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v + 4. Let t be d(-3). Solve 4 + 0 = t*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145913850.\nAnswer: 2, 3, 5, 47, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - 84?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (33 - (-11 - -1 - -20) - 11)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + sqrt(153) + -2)**2 - (sqrt(204)\/(sqrt(12)*-2) + 5).\nAnswer: -179*sqrt(17)\/2 + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -82, 2255, -2, 0 in increasing order.\nAnswer: -82, -4, -2, -1, 0, 2255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*b - 4*b + 5*b + b + (-2*b - 1 + 1)*(-2 + 0 + 0) - b - 3 + 3 + (-1 + 3 - 1)*(4*b - 3*b + 5*b) as j*b + l and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 3 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + t - 1. Let y be a(1). Suppose -i + y*i = 5*r + 16, 8 = -4*i. Let h = r - -6. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(5\/7)*l*l)\/l*l*l**(-15\/4))\/(l**(3\/10)*l**4) assuming l is positive.\nAnswer: l**(-747\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4104340 (base 6) to base 11\nAnswer: -123893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -27 + -8 + (-5 - -6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t - t + 0 + 0 + (0*t - 5*t + 3*t)*(-2 + 4 - 1))*(-2*t**3 - 7*t**3 + t**3).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*m = -3910 + 5630 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-3)\/(-12) - -14. Let x be (-4)\/g + 44\/7. Find the second derivative of 3*c**5 + 3*c**4 - x*c - 7*c**5 - 3*c**4 wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13548500 divided by -175\nAnswer: -77420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*k + 0 = -32, 0 = 4*k. Suppose 4 = 3*x - c. Let n be x\/6 + 7\/3. Calculate the greatest common factor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/((-16)\/(-24))*-2. Solve z*k - 5*m + 10 = 0, -4*m = -4*k - 2*m - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - 64*w = -65. Let f = 57 - w. Let q(a) = a**3 + 9*a**2 + 9*a - 1. What is q(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (705\/4324)\/((-5)\/(-115)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 - 63*u + 129. Determine i(9).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3872\/1760)\/(4433\/3720)?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*12\/264*121.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 15854\nAnswer: -1\/15854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 11*h - 4. List the prime factors of o(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*l + 205*l + 72 = -3*v, 0 = v + 3*l + 14 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -518, 4 in descending order.\nAnswer: 5, 4, -2, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 70327375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99662493?\nAnswer: 3, 7, 4745833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**3 - 49*s**2 + 3*s + 3. Let h(m) = m**3 + 9*m**2 + m - 1. Let o(x) = -6*h(x) - w(x). Calculate o(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 6669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 11 = 19. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p + 82. Suppose 0 = -6*z - 6*z - 204. Let y be (-2)\/(-6)*(-30)\/(-10)*z. Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 389, 4, 1292 in descending order.\nAnswer: 1292, 389, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 3*q**3 + q**3)*(367*q - 6046*q + 386*q).\nAnswer: 10586*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 21*v**2 - 20*v + 4. Let g be p(20). Differentiate 1 + 15*c**g + 1 - 10*c**4 with respect to c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758 - 78 = 38*r. Let y be (-62)\/341 + (-92)\/r. Solve -3 = -y*a + 3*l - 1, 0 = 4*a + 2*l + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -112004*g + 336029. What is m(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -485380 or -485379?\nAnswer: -485379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a + 4*a - 3*a)*(-2*a - 2*a + 6*a)*(-17 + 31 + 26) as b*a + o*a**2 + z and give o.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**5\/5 - 5*l**4\/4 + 28*l**3\/3 + 16*l**2 + 7805. Factor c(o).\nAnswer: -o*(o - 4)*(o + 1)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 323 (b) 5 (c) 2.1 (d) 0 (e) -2\/9 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**3 + k**2. Let s be m(1). What is the highest common divisor of s and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 + 2*t**2 - 4*t**2)*((-2*t + t - t)*(2 + 2 - 3) + 4*t - 3*t - 4*t).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bf4 (base 16) to base 9.\nAnswer: -4170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 173, 368, 631, 956, 1337?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3)\/(222\/(-333))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 25 = 0. Solve -5*m - 3*t = -31, -4*m - 2*t + b*t + 14 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 7*l + 4. Let v be k(-7). Suppose -v*y + 4 = 44. Let w be y\/40 + 1\/(-4). Which is the biggest value? (a) w (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/(i*i*i**(-6))*(i\/(i*i*i**3))\/(i*i**(-5)) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1486, -1369, -1158, -847, -430?\n\"Answer: m**3 + 41*m**2 - 13*m - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-18))\/((-3)\/(-4)). Let v be (-705)\/360 - (-4)\/6. Is v <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -733*u**2 + 4740*u + 3. Let y(g) = -1468*g**2 + 9478*g + 7. Let w(o) = 14*h(o) - 6*y(o). Find the second derivative of w(x) wrt x.\nAnswer: -2908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77304 - 77353. Suppose 0 = 2*c - 2*n + 98, -3*c + n - 193 = c. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 + 228*t + 58482 = 0. What is t?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*w - 7542 = -2*g, w + 3 = 0. Round g to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b5 + -1?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9849*g - 2 - 4957*g - 5080*g as b*g + u and give b.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 s when three letters picked without replacement from axaxaxxaxsxsqx?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858963561?\nAnswer: 3, 1093, 261959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -7 - 1\/6*z**3 + 1\/2*z + 1\/8*z**4 - 1\/4*z**2. Suppose t(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2663*p**3*w**3 - 42*p**3 - 15*p**2*w**5 + 291*p**2*w**2 - 1 wrt w.\nAnswer: -15978*p**3 - 900*p**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 2*c**3 + 8 - 10*c**3 + 13*c**3 - 7*c**2. Let x be z(7). Let r be 3*x\/(-1 + 2). Solve -3*j = -2*j - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 - 10*t + 9. Let z be n(6). Suppose -2*p - 5*o + 221 = 2*p, -o + z = 4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from rtrvwvnvvwii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1. Let v = 3 - 2. Let b(a) = 2 + 2*a + a**2 + 2 + a. Suppose 7*y + t + 13 = 5*y, 3*y - 3*t = 3. Calculate v*b(c) + y*m(c).\nAnswer: c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22222633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 - 75. Let a = u + -72. Calculate the greatest common divisor of 126 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16076 - 9040. List the prime factors of b.\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 58*b.\nAnswer: 2*b*(b + 87)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512311212?\nAnswer: 2, 37, 941, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = s + u, 0 = 4*s - 4*u + 6*u - 18. Suppose -5*n - y = -10, -s*n - 9*y + 11*y = -6. Solve 4*f - n*f = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/8 and 69\/6934.\nAnswer: 27736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10 = -5*j, 3*t - 16 + 35 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -9. Let x(o) = -o**3 + 32*o**2 + 2*o - 67. Let g be x(32). Let n = -2 - 0. Which is the closest to g? (a) 1 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3 + 3)*(-o**2 - 3*o**2 + 5*o**2 - 2*o**4).\nAnswer: -6*o**5 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b + 4 + 103*b - 4.\nAnswer: 79*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11954, 22995, 34036, 45077, 56118?\n\"Answer: 11041*g + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*r - 20, 5*k - 5 = r + 2. Let p = 57 - 33. What is the highest common factor of p and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 0.5 (c) -2\/9 (d) 272 (e) -130\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1685*p - 40419 = -188*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2111*v**2. Let r(s) = -351*s + 1. Give r(o(h)).\nAnswer: -740961*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(27\/(-6) + 4). Calculate the common denominator of (-2)\/h + ((-142)\/(-330))\/1 and -83\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a3 (base 12) in base 6?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84404 + 4.\nAnswer: -84400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -3. Let u(i) = i - 5. Let b be u(a). Suppose 2 = -4*q - n - 1, -2*q + n - 3 = 0. Sort -4, q, b in ascending order.\nAnswer: -4, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*x - 97, -2*u - 71 = -0*x - 3*x. Calculate the remainder when 41 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*y - 1340, 3*w + y = 569 + 756. What is the highest common factor of w and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 m, and 1 k when four letters picked without replacement from {k: 2, s: 2, g: 3, m: 1, c: 1, i: 3}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*241.\nAnswer: -964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2. Let u(o) be the third derivative of o**4\/8 + 2*o**2. Calculate h(u(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.3 + 4.2. Let i = -3138.83 - -3139. Sort 4, -2, i, t in increasing order.\nAnswer: -2, t, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27708 + 22314*d - 13853 - 13855 to v + r*d and give r.\nAnswer: 22314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18200.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqwkktttg. Give prob of picking 2 k and 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 220*x - 25. Let p(w) = -1098*w + 126. Let t(f) = 2*p(f) + 11*y(f). Differentiate t(l) wrt l.\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 3 (c) -241658 (d) -0.1 (e) -3 (f) -1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**3*z + 2*v**3 + 140*v**2*z + 2*v**2 - 112*v*z - 14*v - z - 4 wrt v.\nAnswer: -30*v*z + 12*v + 280*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20400 + 562?\nAnswer: 21262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.019 - 21.981. Let d = -3811 - -3812. Which is the biggest value? (a) 5 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -49*f**3 - 2*f + 2041. Give t(0).\nAnswer: 2041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -0.4.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - ((-4 - 0) + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/19)*d)**12\/(d*d**(-4)*d)**(-7) assuming d is positive.\nAnswer: d**(-74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:34 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5495*a - 27185. What is g(-5)?\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 81\/2 of a second?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -23. Suppose 4*t = -0 + 12. Suppose -t*z + 53 = 8. What is the greatest common divisor of z and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxlzmlllmqlllm. Give prob of sequence qlql.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z + z**3 - 5\/2*z**2 + 0. Is u(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + q**2 + q + 1. Give l(5).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/7 - -5 - (-7 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130) + (sqrt(130) - sqrt(130)*2)*2 - sqrt(130) - -1*sqrt(130)*4)\/((-5*sqrt(120)*-1 - sqrt(120))\/sqrt(12)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.19, -2\/7, -15?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3742386623 to the power of 1\/3, to the nearest integer?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*h**5 + 2*h**2 - 2*h**2 + 2*h**2 wrt h?\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -32. Suppose 0 = 26*j - 52 - 0. Suppose 3*w - 4*i - 164 = 0, j*i = 5*w - 7*w + 128. What is the highest common factor of w and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3717 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -720432.2999?\nAnswer: 720432.2999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 211395.9m in nanometers?\nAnswer: 211395900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3846.034 rounded to zero decimal places?\nAnswer: -3846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 670 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, z: 6}. What is prob of picking 2 z?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1753 - 588 + 2*u**2 + 3 + 377 + 1675 + 2*u + 115*u**3 wrt u?\nAnswer: 345*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1300, -2535, -3856, -5305, -6924?\nAnswer: -8755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/63020 and 125\/18906?\nAnswer: 189060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 + 4*c**2 + c**2)*(3 - 3 - 2*c)*(-5 + 3 + 0) as v*c**3 + o*c + m + f*c**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*k**2*x**3 + 25*k**2*x - 3*k**2 + 120*k - 174*x**3 wrt k.\nAnswer: -34*x**3 + 50*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1372*w**5 + 251*w**2 + 2.\nAnswer: 82320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) 3 (c) 1\/8 (d) 1.2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 0*j**5 - 2*j**5 + (2 - 2 - 2*j**2)*(3*j - 3*j + j**3) + 5417 - 5417 + 28*j**5.\nAnswer: 23*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 2*b**2 - 107*b + 23*b.\nAnswer: 2*b**2 - 78*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 303, 590, 859, 1098, 1295, 1438, 1515?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**3 - 52*p**3 + 31*p**3 + 36*p**3 + 9*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -c75a (base 13) to base 6\nAnswer: -331514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 118 - -52?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 45*o + 119 - 118 + 12*o**2 - 32*o - o**3. Suppose d - q = 13 + 4, 2*q - 31 = -3*d. Let g be w(d). What is the third biggest value in 5, g, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 15*j - 21. Let z be -1 - 23\/(-7) - (-2)\/j. Find the second derivative of 44*n**2 + 18*n + 5*n**2 - 25*n**z wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 38. Let t(s) = -s**2 - 3*s + 4. Let x be t(-7). Let d = o + x. What is the remainder when 26 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1)*1*3. Suppose -2 + i = o. Suppose 12*n - 30 = 10*n. Calculate the remainder when n is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-15))\/((-4)\/(-72)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110.41377+-24216.48\nAnswer: -24326.89377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(190)*-2)\/sqrt(10) + sqrt(19).\nAnswer: -sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1827834, -3655736, -5483638?\n\"Answer: -1827902*i + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2522 - 2518. Let u(o) be the first derivative of -4\/21*o**3 + 1\/14*o**m + 4 + 4\/7*o - 1\/7*o**2. Suppose u(d) = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 9. Let x(r) = -4*r + 26. Let k(m) = 17*c(m) - 6*x(m). Let i be k(1). Solve -5*f + 3*p = 0, -f - 4*f - i*p = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 + 80*g**4 - 227*g**3 - 308*g**2.\nAnswer: -g**2*(g - 77)*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u**3 - 3*u**2 + 3*u + 22. Let j(w) = 86*w**3 - 16*w**2 + 16*w + 110. Let x(t) = -3*j(t) + 16*p(t). What is the first derivative of x(h) wrt h?\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -595 + 618. Solve -3*p = -l + 29 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**10\/1080 + k**9\/945 + k**8\/560 - 5*k**4\/6 - k**3\/3 + 2*k**2 + k. Let r(a) be the second derivative of s(a). Factor r(t).\nAnswer: -4*t**3*(t - 1)*(7*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0*d**2 + 0*d**3 + 0 + 0*d**5 + 0*d**6 + 1\/3*d**7 - 29*d - 2\/3*d**4. Find the third derivative of x(m) wrt m.\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**14*l\/(l*l\/((l\/l**12)\/l*l))*(l**(-3))**(-8\/5) assuming l is positive.\nAnswer: l**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.09, -0.1 in increasing order.\nAnswer: -0.1, -0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 292048367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 895656 is divided by 74638.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 37 and 135 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -126.025 + 91.42. Let l = h + 0.005. Let g = 36 + l. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.51 - -5.79. Let c = d - 7. Let q = c + -0.2999924. What is q rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220 - -15. Is n a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 11*p + 3. What is j(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/(-102))\/(203\/13224)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, -3, -5, -1\/9 in ascending order.\nAnswer: -5, -3, -2.3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16 = -l + 64, 2*c = -6. Is l a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 31. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7175719, 7175727, 7175735, 7175743?\nAnswer: 7175751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c + 20. Let h be n(-2). Let t = 22 + h. Solve -5*w = 2*u - 25, 2 = 2*w - 2*u - t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-13)*b*b*b**27\/b*b*(b*b*b**(6\/11))**(-15\/4) assuming b is positive.\nAnswer: b**(71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 35. Let z be w(-17). Suppose -4*u + z = 6. Suppose u*c = 24 + 12. What is the greatest common factor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -6000 + 24*s**3 - 360*s**2 - 3\/5*s**4 + 2400*s = 0. Calculate s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137014, -136926, -136848, -136780, -136722?\nAnswer: -136674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132a (base 14) in base 5?\nAnswer: 101440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 - 90*y**3 + 669*y**2 + 90*y - 672 = 0.\nAnswer: -1, 1, 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 17. Sort y, -4, 1.4 in decreasing order.\nAnswer: y, 1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -711?\nAnswer: -711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:29 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (7 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*g - 14, 3*g - 4687*p + 4688*p - 22 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/453652 and -1\/552.\nAnswer: 2721912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o = -46*o - 57*o - 1148 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**2 - w + 3*w**2 + 3*w**3 + w wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 7*t + (t - 6*t + 3*t)*(0 + 2 - 4).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)*-1 + sqrt(484))\/sqrt(11) - ((sqrt(396) + sqrt(44))*-3 + sqrt(44)))\/((sqrt(32)*4)\/sqrt(8)*4).\nAnswer: 11*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*x + 140 + 424 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*-1*sqrt(104))\/sqrt(2))**2.\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = -2*q + 2*n - 106, 0 = 4*n - 4. Calculate the remainder when q is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 391, 3, -18 in descending order.\nAnswer: 391, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 times -617?\nAnswer: -447325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100361076 and 5784?\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 426 - -3604. Suppose 0 = 12*l - x - 206. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3638 by -1819.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*z - 72 = 0, -2*r + 37 = 106*z - 105*z for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + -24?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 2 + -6 - (-2 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 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: Work out -5.3666989 - 0.56758.\nAnswer: -5.9342789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 149*y**7\/7 - 5*y**4\/12 + 65*y**3\/2 - 62*y + 10. Find the third derivative of s(t) wrt t.\nAnswer: 53640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0704402 hours to milliseconds.\nAnswer: 253584.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let i be ((16\/2)\/(-2))\/(-6 - -7). Which is the smallest value? (a) 5 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 times -52452\nAnswer: 6713856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l + 1. Let j be a(3). Let o = 8 + j. Suppose 0 = -o*q - 12, 3*q + 0 = -4*d + 72. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.113 + 1.887. Let d = -11801643 + 16073836595\/1362. Let y = d - -6\/227. Which is the nearest to -2? (a) -0.3 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338431*n*x**3 + 33*n*x**2 - 3*n - 10*x**2 - x + 1 wrt x.\nAnswer: 2030586*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, q: 5, i: 5, t: 1, d: 1, p: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 82*d + 1019. Give f(-62).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 16. Let c be 3*((-19)\/z - 4). Factor 1 + y - 9\/4*y**2 - c*y**3.\nAnswer: -(y + 1)*(3*y - 2)*(3*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*t**2 + 122*t**4 - 474*t**4 - 169*t**4 - 911*t**2 + 98*t**2 wrt t.\nAnswer: -12504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 + -104. Let j be ((-1)\/(-2))\/(2\/424). Let h = j + -76. What is the remainder when g is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x**2. Let l(u) = -21*u**2 + 5*u. Suppose 15 = 3*r - 0. Let g(t) = 136*t**2 - 32*t. Let i(o) = r*g(o) + 32*l(o). What is i(w(j))?\nAnswer: 648*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1380 and 638595.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 53 = 5*d + 41, -321 = -3*b + 2*d. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(150*n - 426*n - 53*n)*(-2*n + 0*n - n)*(-2 + 1 - 1).\nAnswer: -1974*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7772 and 2144.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -52542*n + 735594. What is q(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 2*u. Let y be a(2). Suppose y*l + 3*l = -3*o + 57, -5*l + 105 = -5*o. Let b = -17 - -21. What is the smallest common multiple of l and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(243) + 0 + sqrt(243)))**2.\nAnswer: 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and (136\/20)\/(18\/(-10)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 7*b + 8)*(-139*b + 346*b + 183*b + 186*b - 49*b) as v*b**2 + q + p*b and give v.\nAnswer: -3689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9504685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (110\/(-11))\/(8\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 76. Suppose 0 = -14*g + 46086 - 45582. Let l = g - k. Solve 2*h + 8 + 18 = -5*o, 21 = -l*o - 3*h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35868 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (7 + -10 + -1)) + 10 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.097, 34, 0.3 in ascending order.\nAnswer: -4, -0.097, 0.3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 25. Let d(u) = 13*u + 116. Let g(m) = 2*d(m) - 9*i(m). Let r(t) = 3*t - 20. Calculate -11*g(c) - 4*r(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/2 - q**4\/24 - 128*q**3\/3 + 100*q**2 + 2*q. What is the derivative of t(s) wrt s?\nAnswer: 60*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323931 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 + 126*f**2 - 199*f**2 - 515*f**2 to v + r*f**2 + b*f and give r.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4554 + -4584.256. Let t = o - -31.1. What is t rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -20*h**4\/7 + 554396*h**3\/7 - 443476*h**2\/7 - 776156*h\/7 + 665256\/7 = 0?\nAnswer: -6\/5, 1, 27719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + 3*p - 4. Let h be k(-3). Let q(c) = -c**2 - 5*c. Let a be q(-4). What is the second derivative of -h*i**4 + a + 5*i - 4 - i wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60362348*c**4*f**2 - 166*c*f + 25*c + 3*f**2 + 5*f + 34 wrt c?\nAnswer: -724348176*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -24 (b) -2\/7 (c) -2\/3 (d) 0.4 (e) -35 (f) 523 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 divided by 3?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247983 or 247984?\nAnswer: 247983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -2. Let b(v) = c*v - 14*v + 10*v. Let i(p) = -10*p. Give i(b(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*r*x**3 - 4*r*x**2 + 19*r - 2 wrt x.\nAnswer: -51*r*x**2 - 8*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1408 and -49\/128?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/15 - 55\/(-55). Let v(a) be the second derivative of 2*a**2 - 2\/3*a**3 + d*a**5 - 11*a - 1\/3*a**4 + 0. Factor v(i).\nAnswer: 4*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125\/7 in -6\/5, -25\/2, -2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 155*l**2 + 14*l + 16. Let j = 311 + -316. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - i - 3*i + (-2*i + 2 - 2)*(160 + 2424 - 1096).\nAnswer: -2975*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3 - v**2 - 3*v + 2. Let j(y) = 4*y**3 - 2*y + 2. Give 3*f(q) - 4*j(q).\nAnswer: -q**3 - 3*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*3*sqrt(405) - sqrt(405) - sqrt(405))\/(sqrt(90)\/(sqrt(60)\/sqrt(6))))**2 + 1 + 0.\nAnswer: 18001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -4d6d?\nAnswer: 4d71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.9 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -16. Suppose 2*j = 3*h + s + 10, -h = -2. Suppose 0*q - 9 = -q. Is q equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-249)\/9 + 1)*(4 - 7). Let y = n - 76. Let l = 3.4 + 0.6. What is the nearest to l in -2\/9, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6584*j**2 + 11*j - 953. Let m(c) = -3291*c**2 + 5*c - 479. Let t(b) = 7*m(b) - 3*v(b). What is the second derivative of t(y) wrt y?\nAnswer: -6570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0)*3\/(-2). Suppose -15 = -7*k + 2*k - 5*n, -z*k + 5*n = -9. Solve 0 = 2*y - 4*p - 10, 3*p + 3 = -k*y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 3*j**7\/7 - 4*j**6\/15 - 865*j**3\/6 - 3*j**2\/2 + 3*j - 626. What is the second derivative of c(k) wrt k?\nAnswer: 360*k**3 - 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/120 - w**5\/20 + w**4\/6 - w**3\/3 + w**2. Suppose -15*o = 46 + 14. What is j(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let z(n) = -20*n + 24. Let u be (-35)\/10 + 3 + (-2)\/4. Calculate u*z(o) + 24*i(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243\/4 + -53. Find the common denominator of 4\/(-6) + 100\/(-72) and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*o**4 + 4\/9*o**5 - 16\/9*o**3 - 32\/9*o**2 + 0*o + 0.\nAnswer: 4*o**2*(o - 2)*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -1979848, -4 in descending order.\nAnswer: -2\/11, -4, -1979848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 0*v + 0*v + (-1 - 4 + 3)*(-3*v**2 + 6*v**2 - v**2))*(5 - 2 - 4 + (0 - 1 + 0)*(-2 + 0 + 3) - 2 - 1 + 0)*(969*v + 1891 - 1891).\nAnswer: 33915*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17.7, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) - 28\/245. What is the closest to 0 in -3, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 9*p**2 - 3*p**2 - 10*p**2 + 9*p**2 - 5*p**2 to z*p**2 + n*p + h and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 - 589*w**2 - 145*w + 289. What is z(-147)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 - 3*q + 12. Let y be d(0). Let b = -3 + 9. What is the greatest common factor of y and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggdu when four letters picked without replacement from {d: 5, t: 4, u: 2, s: 1, g: 2}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o. Let k(q) = 2*q**2 + 28*q. Let v(s) = 2*s. Let j(f) = -2*k(f) + 28*v(f). What is j(n(m))?\nAnswer: -484*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r. Let z be h(-1). Let u = 878599\/22 - 39937. What is the common denominator of u and (-51)\/(-6) + z\/5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1856*j + 15*j**3 + 1642*j - 14*j**3.\nAnswer: j**3 + 3498*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000976 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5057 - 0.2.\nAnswer: 0.3057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**3 - a. Suppose z + x = 2, -4*z - 5 = -6*z - 3*x. Let b = z + 0. Let t be p(b). Solve -4*o = -t*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/51)\/(d**(-1\/2)*d*d) assuming d is positive.\nAnswer: d**(-149\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303044 + -4?\nAnswer: 303040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022102110 + 0?\nAnswer: 1022102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 5*h. Let t = -30 - -34. Let n(o) = o. Let v(m) = t*n(m) + i(m). Factor v(w).\nAnswer: -w*(w - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 27.5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 5) in base 14?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20849*q + 20838*q - 143*q**4 + 13 - 15 as t*q + j + m*q**3 + b*q**4 + i*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11376 * 1\nAnswer: 11376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 58 (b) -24 (c) 0.08 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 125. Let q = 665 + -390. Calculate the greatest common factor of q and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwlsx. What is prob of picking 1 l and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w - 3. Solve -f = -r + 2*f - w, -5*r = -f - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 746 and 1531165.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 199440 and 44320.\nAnswer: 398880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:50 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68730, -68662, -68560, -68406, -68182, -67870, -67452?\nAnswer: -66910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*116.\nAnswer: 7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064919718 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 553989?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2887587 is divided by 2363.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 0, 0 = -3*q + q - 4*b - 16. Put 4, 5, q in increasing order.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 10*y = -30*y. Suppose 21*b - 186 - 45 = y. Solve 0 = -5*h + 3*z - b, -z - z = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 60 = 3*w. Let x = w - 11. Let n = -227 + 248. Calculate the greatest common factor of x and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y = -5*p - 17, 2*y + p - 2 = 0. Let d(g) = g**2 - 7*g + 4. What is d(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1345 and 2841985?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. What is the units digit of (-5)\/((-5)\/18) - d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/((-24843)\/2418))\/((-18)\/(-585)*-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3344 + 6061. List the prime factors of l.\nAnswer: 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73098043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*2 - -1*1236\/6. Suppose 23*a - 24*a + 6 = 0, -p + 2*a = -12. Calculate the highest common divisor of f and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127299, -127337, -127361, -127365, -127343?\nAnswer: -127289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 + 2*l - 2. Let d(f) = -f**2 - f + 1. Suppose 0 = 2*h + 25 - 27. Calculate h*q(n) + 2*d(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-2\/13)\/l))\/l)\/l**4*((((l*(l*l**(-17)*l*l)\/l)\/l)\/l)\/l)\/(l\/(l*l**(-5\/4))) assuming l is positive.\nAnswer: l**(-1097\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.77*19259.\nAnswer: -34088.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3343*-0.4.\nAnswer: -0.13372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(147) - -1*sqrt(147))*-5 + sqrt(147))**2 + 4 + (-2*sqrt(147) + sqrt(147))*-5.\nAnswer: -47624 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 1.01. What is the closest to 1\/3 in l, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 14*s - 66. Solve -2*y = 2*b - 0*b, -s*y + 3*b + 6 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-6)*(-4)\/(-3) + 1. Suppose -g = 5*o + d, 0 = -4*o - o + d + 3. Solve -4*x + 0*x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v + 56. Let c be l(6). Factor 0*i**2 + 0 - 2*i**3 + 0*i - 1\/2*i**5 - c*i**4.\nAnswer: -i**3*(i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 125\/15 + 8\/(-6). Let b be (-3)\/((3 - 8) + 4). Let q(o) = b*o - s*o + 5*o. Let y(g) = g**2 + 16. Calculate q(y(l)).\nAnswer: l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((2 - 5) + 0 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 1 - 1)*(0 + 6 - 1).\nAnswer: -10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -30838, -175\/2 in increasing order.\nAnswer: -30838, -175\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 11*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-55)\/6)\/(8\/36). Let w = m + 41. Which is bigger: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125529 is divided by 31379?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195.8298 + 1.2398. Round p to the nearest integer.\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1786 and 474418.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3534141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s - 2 - 19*s + 1 + 7*s.\nAnswer: -37*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 7*y**4\/12 + 5*y**3\/6 - y**2 + 28*y. Let x be n(-4). Let s = x + -50. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/7)\/((-10071)\/(-2611))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*b - 156, -3*b - 9 + 0 = 0. Let l = o - 159. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3009788 is divided by 511?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -55. Let t = -12 - c. Let y(h) = t + 5 - 2*h - 6. Give y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let r(j) = 3*j + j**3 + 3 + 5*j**o + j + 0. What is the units digit of r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:56 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 3*t**2 + 5*t**2)*(1 + 0 + 0) + (-3*t + 6*t - t)*(t - t - t) + t**2 - 3*t + 3*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 8. Let p be r(7). Let b = p - -3. Let w(u) = 2 - b*u - 2*u + 1. Determine w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 100100100?\nAnswer: -100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682 - 2728 + 842 + 711 + 3*x + 769.\nAnswer: 3*x + 276","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 1 - -3 - 0. Let j be (-2)\/(-16)*z + (-126)\/(-8). Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.85 + -0.15. Let g = -17 - n. Let c = g + 7.9976. Round c to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m - 15*m - 4*m - 6*m to s + g*m and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*-2)\/sqrt(8) - (-1*sqrt(1800))**2 - -6*(sqrt(242) - (-1 + sqrt(242) + 0 + sqrt(242))**2)*-1.\nAnswer: -340*sqrt(2) + 4014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*k**2 + 22*k**3 - 32*k**2 + 21*k**3 - 45*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102884 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 70 = 3*g. Put 1, -1, g, 5 in increasing order.\nAnswer: -1, 1, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 208 + 12. Let c = a - 61. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.82 + -1. Let m = 0.02 - s. Which is the nearest to 5? (a) -3\/2 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241414 (base 5) to base 3.\nAnswer: 110022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212550 - 542?\nAnswer: 212004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - g + 2. Let k be (81\/6)\/(-9) - 40\/16. Suppose y = -5 - 1. Let l(x) = x**2 + x - 3. What is k*l(s) + y*n(s)?\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k + 2457 = 125*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35 + 496b?\nAnswer: 4936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*u - 19 - 19, 5*w = 5*u + 55. What is the second derivative of 5*q + w - 3 - 3 - 5*q**2 wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 2\/13, -0.6, 4\/9, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 234683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 5*w**2 + 4*w**2)*(-4*w**2 + 3*w**2 + 2*w**2) + (-4*w**3 + 5*w**3 - 7*w**3)*(3*w + 0 + 0).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10237 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -825.4 and -4.\nAnswer: 3301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaame?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 25*v - 67. Determine c(-3).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v. Let q(r) be the first derivative of r**2\/2 + 822. Let k be (2 + -3)*9*20\/(-6). What is k*q(i) - 5*a(i)?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3)\/n)\/n)**43\/(n**(2\/3)*n**1\/n))**(-2\/53) assuming n is positive.\nAnswer: n**(116\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -1.1. Is -0.01 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -24. Let r(k) = -k**3 + 11*k**2 + 14*k + 5. What are the prime factors of r(s)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, v: 1, k: 1, f: 9}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41930 from -115351.\nAnswer: -73421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039898?\nAnswer: 2, 3, 7, 17, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c + 5. Let j(b) = 2. Calculate -5*j(u) + t(u).\nAnswer: 4*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 + 10*c. Let j be 2\/9 + (-125)\/(-45). Suppose j*t - 50 = -2*t. Let f(z) = -13*z + 45*z - 2*z**2 - 29*z + 3*z**2. Calculate t*f(y) - 3*v(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 312 + 310 - 2*v - 623. Let n(a) = -18*a - 3. Let q(u) = -n(u) + 12*t(u). Let z(f) = -13*f - 19. Give 9*q(d) - 4*z(d).\nAnswer: -2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-27)*((-969)\/(-119))\/19*-210.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 + 0 - (-1041 - -1079)) + (-92 - -1).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 3\/7 (c) -46\/5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3c0 (base 14) to base 10\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 1 - 1)*(4*s**2 - 3*s**2 + 3*s**2) + (-4*s**3 - 6*s**3 + 7*s**3)*(-3 + 2 - 3) to c*s + m*s**3 + p + v*s**2 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -30 (b) -1\/3 (c) 8.9 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.398037 to 3 dps.\nAnswer: 0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21f - -4?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536566783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3768 and 769068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-91)\/14))\/((12\/(-3))\/((-300)\/6)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.053124 - -33.631824. Let r = -8.5825 + k. Let a = 25 - r. What is a rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120) + sqrt(120) + (sqrt(120) - sqrt(120)*3) + sqrt(120) + sqrt(120) - (sqrt(30) + (sqrt(30) - (sqrt(1470) - sqrt(30))))*2)\/(-2*sqrt(150)*-1*-3).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (280\/(-15) + 1\/(-3))*-1. Let r(f) = 29*f + 4 - 13 - z. Let c be r(7). What is the highest common factor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 12:43 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1411 is divided by 146.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*w**2 + 43*w**2 + 25*w**2)*(w - 2*w + 0*w) - 3 - w**3 + 3 - 4*w**3 - 4*w**3 + 4*w**3.\nAnswer: -124*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:50 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -120?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-23828)\/70)\/(-23)*10)\/(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/22)\/(-3)*0\/1. Let i(u) = 8*u + 2. Let v be i(l). Let o = -2.2 - -2. Sort 1\/4, v, o.\nAnswer: o, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 1.38?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqqcqqqqcqocqoqccqoo. What is prob of picking 2 c and 1 o?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-2*(-3)\/(-24). Let n be (-2)\/4 + 2 + -1. Let m = 88447 + -88446.97. Which is the nearest to t? (a) n (b) 2\/15 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c + 1530 = 6*c. Let y(i) = -i**2 + 82*i + 95. List the prime factors of y(c).\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (246675\/(-4420))\/(-253)*48\/(-10)\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/12 - 7*a**3\/6 + a**2 - 3*a. Let t be m(-6). Let b = t + 14. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016399158813 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -2*w. Suppose 0 = -4*l + 6*l + w. Let i = -1 - -1. What is the third smallest value in i, -4, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(10\/7))\/y*y*y)**18\/(y**(-12\/5)*y**(-29)) assuming y is positive.\nAnswer: y**(3889\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51492382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 2*b**5 - b**5 + 6*b**5 + 26*b**4 - 26*b**4 + (-2*b**2 - 2*b + 2*b)*(-3*b**3 + 8*b**3 - 3*b**3) - 1 - b**5 + 1.\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2. Let q(x) = -x + 5. Let g(n) be the second derivative of -n**2\/2 - 44*n. Let t(d) = 5*g(d) + q(d). Calculate b(t(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:00 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2802404 + -5?\nAnswer: 28023bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.054 times 4\nAnswer: 0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 26. Suppose -3*o = -0*b + 5*b - 22, 0 = 5*o + b. Let z be (o + 1)*2\/(-4). List the prime factors of p(z).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 - 166*l**4 - 162*l**3 + 500*l**2 + 827*l + 330 = 0. What is l?\nAnswer: -165, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 806\/(-240) - 14\/(-35) and -73\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/7, 3.28, -0.4?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(14\/56*-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96629\/7 - 13804. Let n(z) be the third derivative of -q*z**3 + 10*z**2 + 0 + 1\/105*z**5 + 1\/735*z**7 - 1\/21*z**4 + 0*z + 1\/105*z**6. Solve n(x) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 - 118. Let y = 118 + i. Suppose 3*s - 51 = -l, -l + y - 7 = 4*s. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:04 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31516 - 31527. Let d be (4\/(16\/(-6)))\/(-3). Which is the closest to d? (a) -1 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38010 and -0.82429013.\nAnswer: 38009.17570987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5254643 or 5254642?\nAnswer: 5254642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 32392.809 milliseconds in hours?\nAnswer: 0.0089980025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52649 is divided by 585?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 - -46. Is 2\/4 - u\/(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 33102016?\nAnswer: 3\/33102016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l**2 + 12*l + 2. Let u be f(0). Let o(i) = -37*i**2 - 2*i - 2. Let g(j) = -74*j**2 - 5*j - 5. Give u*g(x) - 5*o(x).\nAnswer: 37*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 56 = 5*c. Suppose c*m - 5*p = 512, -68 + 221 = m + 5*p. List the prime factors of m.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9235195, -9235238, -9235317, -9235438, -9235607, -9235830, -9236113?\n\"Answer: -k**3 - 12*k**2 - 9235182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2 (c) -6269 (d) 3\/4 (e) -3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 11*q + 22. Let z be s(9). Suppose -z*y + 3*y + 821 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780 divided by -60.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 499320 by 62415.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162377 and 37133?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7260 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*t + 48 = 0, 3*m - 6*m + 8 = 14*t - 15*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and -20402.\nAnswer: 28562.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**3 - 7*i**2 - 7*i - 10. Let w(b) = 4*b**3 + 3*b**2 + 3*b + 5. Let u(k) = 3*c(k) + 7*w(k). Differentiate u(r) with respect to r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 + 60. Let a = -8 - v. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2.96, 5, 168, 5\/4.\nAnswer: -3\/4, 5\/4, 2.96, 5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 14 + 31 - 16)*(19 + 9*g - 19) + 2*g**2 - 7*g**2 + 2*g**2.\nAnswer: -30*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*i + 7*i. Suppose 5*n - 21 = i. Suppose 4*c - 28 = -5*r, n*c - 11 = -2*r + 7. Solve -4*l = -4*s, 2*s - r*l - 3 = -l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*l = -25, l + 2 = 3*o + 7. Suppose -2*b + 5*b = o. Solve 0*c + c + 1 = b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40\/3*r - 100\/3 - 4\/3*r**2 = 0. What is r?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 35*c**2 - 4*c + 5. Let w be l(3). Let n = w + -212. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3135, -1, 2\/73, 4\/5, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -39, -242, -575, -1032, -1607?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/11)\/((b**(-6)\/b)\/b)*(b**(-2\/9)\/b)**21*((b*b\/(b**(-4)\/b*b*b))\/b)\/(b**5*b*b)*(((b*b**(-1)*b)\/b)\/b)\/b*b*b*b*b\/b**4*b*b assuming b is positive.\nAnswer: b**(-676\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(1 - 1)\/(-3). Suppose 3*u + 5*i = 46, m = 3*u + 2*i - i - 26. Let g be -4*(3\/2)\/(-1). Solve -s + g*s = q - u, 2*s = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (28 + (-53 - 22)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, 1 j, and 1 a when four letters picked without replacement from ppjaphppphhhahppphh.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -100. Suppose -5*o + d*o = -4*t - 4053, -4*o - t + 16178 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*x + 251 + 864 = -361 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o - 49587160 - 49587120 + 99174280.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241463732 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72415?\nAnswer: 5, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*j + 31 = 2*j, 0 = 3*j + 12. Let d = 77 - b. What is the least common multiple of d and 22?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12096 and 2016?\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -2*f - 4*m, 558 = 4*f + 6*m - 5*m. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + f + 5 = 0, 3*c + f - 7 = 0. Suppose -4*o = c*o. Solve o = -0*b + 5*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 2*o. Suppose -12 = -o*v - v. Suppose -p = g + 519996, -v*g + 2*g - p = 1039996. What is g rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + 1011?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 12:23 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 657558338*s**4 + 777881*s**2 + 157*s - 1?\nAnswer: 15781400112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/4 - 15*r + 63\/4.\nAnswer: -3*(r - 1)*(r + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 5:04 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/133 and 53\/951273.\nAnswer: 6658911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s - 1. Determine d(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*b - 4*k - 292, 3*b + 4*k = 170. Suppose 2*m - b = 2*z, 33 = 2*m - 2*z + 5*z. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 4*x - 216 = 0. Let i = -23 + x. Suppose 77 = a - i. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5563175?\nAnswer: 5, 222527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 4200619 = 4200749 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-27)\/(-810)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3561?\nAnswer: 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + -15)*10\/(-4). Put 2, -5, c in decreasing order.\nAnswer: c, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6376 a factor of 437622488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 6:39 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f - 3*f + f**3 - 298*f**2 + 299*f**2 in the form d*f + s*f**3 + a*f**2 + j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -19, -44, 8, 5 in decreasing order.\nAnswer: 8, 5, -9, -19, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 308, -4, -75, 5, -10, 0 in decreasing order.\nAnswer: 308, 5, 0, -4, -10, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.5 (c) 46 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -35*y - 605. Give t(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -14777 (c) 0 (d) -0.3 (e) -162\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 291372.\nAnswer: 1456860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22400 divided by -20\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2947\/6 + 490. Let x = -735 + 733. Is j greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.4 (b) -20 (c) -0.1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**4 - b**3 - b + 1. Let i(v) = -13*v**5 + v**4 + v**3 - 8*v**2 + v - 1. Let x(n) = i(n) + t(n). What is the third derivative of x(h) wrt h?\nAnswer: -780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/18*-10 - 147\/(-63))*(-198)\/(-1804)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9601 + 0.0451?\nAnswer: 13.0052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 take away -7068883253?\nAnswer: 7068883256.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 17)*(35*n - 40*n - 122*n).\nAnswer: 2159*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**3 + 249*u**2 - 768*u + 516 = 0.\nAnswer: -86, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10422241 + -1?\nAnswer: 10422240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002597 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c*c\/(c\/c**(-3\/13)))*(c*c**14*c*c*c)\/c**(4\/5))**(-2\/7) assuming c is positive.\nAnswer: c**(-2656\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2250 - 2250. Which is the biggest value? (a) y (b) -0.1 (c) -8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 140, -0.5, 2\/11, -21\/4, -50 in decreasing order.\nAnswer: 140, 2\/11, 0, -0.5, -21\/4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213852579?\nAnswer: 3, 269, 264997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/80 and -67\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -3, 1079, -2\/9, -12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -740 + 737. Which is the third biggest value? (a) p (b) 5 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419783*u + 501140.\nAnswer: 419783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1371013 and 27375.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -2\/11 (c) 1\/36 (d) 3 (e) 640\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - 50484239101.7.\nAnswer: -50484239101.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -159, -158, -157, -156, -155?\n\"Answer: g - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135712 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137784 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 10. Let v be u(-7). Let i(t) = 3*t**2 + 3*t. Let p be i(v). Let m = p - 8. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, l: 1, r: 1, v: 2, f: 4}. What is prob of picking 1 f, 1 r, and 1 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 1800?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1034367 and 0.87 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3832542 at least as big as -3832538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23044 is divided by 1002.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8325561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-20 - ((20 - -9) + -13 - 35))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 8. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + ((-78)\/(-25857)*13 - (-65192)\/2244)?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 74. Suppose 132 - 20 = -8*c. Let x be o(c). Sort x, 5, 4.\nAnswer: 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 6. Suppose 0 = 5*h + t + 29, -t + 4 = 3*t. What is the tens digit of w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35233, -141032, -317363, -564226, -881621, -1269548?\n\"Answer: -35266*n**2 - n + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -967, -1957, -3007, -4147, -5407?\n\"Answer: -5*n**3 - 955*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -69, -220, -513, -996?\n\"Answer: -8*s**3 + s**2 - 4*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519?\nAnswer: 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -61. Let m(r) = 137. Let s(k) = -9*j(k) - 4*m(k). Let g(q) = 5*q**3 - 4*q**2 - 1. Determine g(t) + s(t).\nAnswer: 5*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -225*r**4 - 1565*r**3 - 1280*r**2 + 60*r = 0.\nAnswer: -6, -1, 0, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36071, -72142, -108213, -144284, -180355?\n\"Answer: -36071*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -16) + (1 - -2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21490 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmxamxx. What is prob of sequence ax?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1813.291 + 1790.2909955. Let q = l - -23. What is q rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1211722666 + 1211722666 - 3405*o**3.\nAnswer: -3405*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -620 - -630. Does 89 divide (d - 8)\/(2\/310)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*j - 7*j - 103*j.\nAnswer: -187*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 1.1. Let g be 12\/(-63) + 1\/3. Let n = -59.34 - -59.24. What is the second smallest value in g, f, -5\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90732231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1\/2*(-30)\/(-6). Solve s - 30 = q*h - 7, 3*s + 1 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 + 150*w - 126. Calculate p(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2778*201\nAnswer: -55.8378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111108363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 7\/(-2)) + (-2)\/(-4). Solve -v = -5*h - 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4196.\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 1305.\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:23 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:52 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Let m be (-3)\/27*6 - (-1528)\/(-3). Let f = 514 + m. Solve 2*p + f - 2 = x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 26*k + 29. Let y be i(-1). Suppose 0 = 2*j - 9 + 39. Let f be j\/(-6) - (-1)\/(-2). Solve -4*z = -3*w - 30 + 6, -y*z = f*w - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1. Let q(b) be the first derivative of b**2\/2 - 11*b - 276. Calculate 2*l(z) - q(z).\nAnswer: -z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 - 5*p**2 - 1265*p**3 + 721*p**3 - 2*p - 84*p**3 to j*p + r*p**2 + d*p**3 + w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7117, 14250, 21383, 28516, 35649, 42782?\n\"Answer: 7133*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/4 - r**4\/4 + 51*r**3\/4 + 149*r**2\/4 + 73*r\/2 + 12 = 0.\nAnswer: -6, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 923998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 9*a**2 - 6. Let n be o(9). Find the common denominator of 69\/20 and 2\/n + (-3367)\/(-624).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/22*(-2 - 0). Let g = 60 + -41. Which is the third biggest value? (a) g (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 10 + 0 - 4)*(2*o - 2*o - o).\nAnswer: -o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 1, g: 1, f: 1, j: 2}. Give prob of sequence bff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*v + 32483 + 26643 = -1398*v - 606*v for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144613034 to the power of 1\/2, to the nearest integer?\nAnswer: 12026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10565?\nAnswer: 5, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 112, 344, 738, 1300, 2036, 2952?\n\"Answer: s**3 + 75*s**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481 - 193 = -21*b - 405 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*c + 2284 = 353*c. Let g = c - -575. Solve -j + g = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -46.366.\nAnswer: 23.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/60 - 73\/(-15). Solve -3*l - 18 = -g*n, -2*n - 3 + 12 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6094, 12241, 18406, 24595, 30814?\n\"Answer: c**3 + 3*c**2 + 6131*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2163\/315 + (-2)\/(-15). Suppose 18*o - l*o = -11. Which is smaller: -8\/31 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhx when three letters picked without replacement from xhx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56180, 56182, 56184?\nAnswer: 56186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 77104566.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1)\/((-2)\/4). Suppose 2*y = -2*y + l*v - 2, 0 = -5*y + v + 5. Suppose -3*q + q = -5*i + 4, 0 = y*i - 8. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3213 + (-3)\/(-3) + -4. Let v = j - -436. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -12*k + 17*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/40 + 37*i**4\/4 - 1369*i**3 - 121*i**2 - 1. What is g in m(g) = 0?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9139*b**3 + 1636*b - 50786327 with respect to b.\nAnswer: 27417*b**2 + 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/6 - 12\/9. Suppose s*b = 4*b - 81. Is (5\/15)\/(3\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - h - 2, s + 3 = 6*s + 2*h. Let b(g) be the third derivative of g**4\/12 - 11*g**3\/6 + 7*g**2. Let o be b(6). Is o at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 != 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -160, -313, -454, -577, -676?\n\"Answer: m**3 - 160*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -1.2 (c) -3\/5 (d) 0 (e) 0.3 (f) 0.095 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -3.7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - g = 5*b - 30, g = -2*b + 14. Solve -10*a + b*a = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -224944 * -0.07\nAnswer: 15746.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 5*d - 25, 2*v - 10 = d - 3*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-5 - (-2 - -8 - -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/(-1 - -8)*3. Suppose 2*i - 63 = -5*t, 5*i - 3*t - 108 = t. What is the highest common factor of r and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*g + 5*m - 11, -4*m + 35 = 5*g. Let 11*l**g + 111*l**4 - 12 + 13*l**3 - 107*l**4 + 8*l**2 - 16*l - 8*l**3 = 0. Calculate l.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 18. Let l(v) be the second derivative of v**4\/4 - 7*v**3\/6 + 3*v**2\/2 + 2*v. Is l(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*f + 121. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**4\/n))\/(n*n\/n**(-1\/4)))**(-7\/12) assuming n is positive.\nAnswer: n**(119\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -29*l - 97. What is the tens digit of l*7\/(-49) + 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31768, -63536, -95306, -127078, -158852, -190628, -222406?\nAnswer: -254186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/7 - 9*f**4 - 4341*f**3\/7 - 51057*f**2\/7 - 24786*f = 0. What is f?\nAnswer: -17, -9, -7, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131443*f**2 + 140549*f wrt f?\nAnswer: -262886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/45*3)\/((-12)\/(-20))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9*t - 60 = 0. Let i(x) = 2*x + 6*x - 7*x - 5 + 3. What is the least common multiple of t and i(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13244 and 64988.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*r - 6559 + 2364 = 0, 0 = 4*x + 5*r - 3320. Suppose 8*s - x - 117 = 0. List the prime factors of s.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1732 and -3\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/27, 4, 5, 101, -0.4 in descending order.\nAnswer: 101, 5, 4, -1\/27, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*1*sqrt(125))**2 + 3*sqrt(10)\/sqrt(2)*-6*-5.\nAnswer: 90*sqrt(5) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxttlxlxvxmhmvhlmm. Give prob of picking 1 l and 3 m.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -975 - -1036. Solve 8*s - 5 + i = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2, -7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27.01 - 7.55\nAnswer: 19.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 15. Let n be 5\/2*4\/d. Which is the second smallest value? (a) n (b) 2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 19, -4 in decreasing order.\nAnswer: 19, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 810 = 2*w. What is the greatest common factor of 162 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51509356331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**5\/30 - s**4\/2 + 16*s**2 - 13. Let y(q) be the second derivative of v(q). Find the second derivative of y(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/35 - (30\/7)\/(-3). Let j = b + 400. What is the remainder when j is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 - 3557\nAnswer: -3557.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3414 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 186260 - -5?\nAnswer: 186265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2655696185 to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/20)\/((-7)\/(-7))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-6) + (-8)\/12. Let d = -3.1 - -2.78. Let w = -0.42 - d. Sort 2\/9, a, w in decreasing order.\nAnswer: a, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-413)\/236)\/(2\/4)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 100 = 1043*u - 1039*u, -4*u + 104 = 3*f. Let s(v) = 29*v**2 + 4*v + 4. Let l be s(-3). Calculate the highest common divisor of l and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -587, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18362 or -18360?\nAnswer: -18362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 6070.\nAnswer: 18210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678372322?\nAnswer: 2, 339186161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -3 + 283 + -386?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2345, -4673, -7001, -9335, -11681, -14045?\n\"Answer: -a**3 + 6*a**2 - 2339*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:04 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -23*t - 19. Let z be (-18 + 0)*(10\/4 + -3). Suppose 0 = -5*h, 3*u + z + 15 = -5*h. Let g be p(u). Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010011122021 (base 3) in base 6?\nAnswer: 20421224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123258, -246302, -369346?\n\"Answer: -123044*b - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 46. Suppose 2*s = -5*r - 7, -r = 4*r + c. Suppose -4*i = -s*t + 348, 0*t + 4*i = -2*t + 198. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.09 - -18.62. Let a = f - 5.43. What is the third biggest value in -5\/4, a, -0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99172*c**3 - 34429*c**2 + 34429*c**2 + 99230*c**3.\nAnswer: 58*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*r = 96*r + 234 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 2*h**3 + h**2 - h**2 - 2*h**3 + (-4*h**2 + 3*h**2 + 3*h**2)*(0*h - h + 3*h))*(-135 + 344 - 111).\nAnswer: 392*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 639 = 654. What is the nearest to r in 2\/9, 3\/8, -1.4, -0.3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*p**2 + 183*p**2 - 247*p**2.\nAnswer: -392*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 1076?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {l: 1, k: 2, m: 2, a: 2, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*o - 1 - 37*o - 1 + 98*o - 13*o - 1492*o**5 wrt o.\nAnswer: -29840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10031 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -210?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o**3 - 60*o**3 + 510*o**3)*(-17*o**2 - 4 + 4).\nAnswer: -7922*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*s**2 + 11*s**2 - 15*s**2 to the form g*s + c*s**2 + i and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305313153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(176)*5 - (0 + (sqrt(176) + -1 - sqrt(176))))**2 + 5.\nAnswer: -160*sqrt(11) + 70406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 1584, 2320, 3024, 3690, 4312, 4884, 5400?\nAnswer: 5854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14082 + 915372\/65. Let v = -2749\/130 + u. Calculate the common denominator of v and -45\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3267 (base 13) to base 7.\nAnswer: -26310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 676177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3120 or 96702\/31?\nAnswer: 3120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32281 = -510*r - 368*r + 7697 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 times -226393?\nAnswer: 194245194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3943*l + 454*l - 80*l as p*l + o and give p.\nAnswer: -3569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 29*f + 1836 = 0. Let c = -1 - 22. Let n = -9 - c. Calculate the remainder when f is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.2*-193653.\nAnswer: -5654667.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21420704, -21420702, -21420698, -21420692, -21420684?\n\"Answer: x**2 - x - 21420704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.406 - -0.094. Which is the nearest to -1? (a) w (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-50)\/(-75)*18\/(-39). What is the third biggest value in c, -1, 0, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*c = -153546, -4*z = -2*c - 120260 - 33306. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 18\/4330705?\nAnswer: 18\/4330705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -244*m**5 + 1202*m**4 + 11314*m**3 + 10588*m**2 + 720*m = 0.\nAnswer: -4, -1, -9\/122, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89, -311, -685, -1211?\n\"Answer: -76*y**2 + 6*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, 8, -0.5, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/33 + (-57)\/(-11) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 47*f**4 - 72*f**3 - 3384*f**2 + 1296*f + 60912.\nAnswer: (f - 6)**2*(f + 6)**2*(f + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4)\/(-2)*-1. Let y = 162.57 + 1.23. Let a = y + -164. What is the smallest value in a, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/11178624 and -73\/46036.\nAnswer: 190036608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -3, -9, -753, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*q - 18 = -10*i, 5*q = -2*i + 13. Suppose 0 = 5*o - 5. Solve -y + i = -o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 6. Let x(m) = -4*m + 8. Let k(l) = -l + 1. Let b(n) = -3*k(n) + x(n). Determine 6*b(o) - 5*q(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -303, -1113, -2443, -4299, -6687, -9613?\n\"Answer: -l**3 - 254*l**2 - 41*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8*o - 498 = 0. What is the second derivative of o + 18*c**3 - 83 - c wrt c?\nAnswer: 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 - 35 + 82 - 17*p in the form s + z*p and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*h - 52*h - 93. What is the remainder when 122 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + b**2 - b**2)*(-2*b**2 + 99 - 91 + b**2) in the form r*b**4 + a*b**2 + i*b**3 + x + u*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 + 3*h - 6. Let o(i) = -i - 4. Determine 6*k(d) + 4*o(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 3:14 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47332510*o*u*z + 2*o - u*z - 11746*z + 5133 wrt o?\nAnswer: 47332510*u*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 = -25*y - 481 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150 + 227. Find the second derivative of -25*o - o**4 + 53*o + 63*o**4 + s*o wrt o.\nAnswer: 744*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u - 31 - 224 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -5 (c) 11 (d) -3 (e) -0.2 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.491257 grams?\nAnswer: 0.001491257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -792.8 times -51\nAnswer: 40432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + n**2 + 4 + (n - n + n)*(-2*n + 0*n + 3*n) - 3*n**2 + 4*n**2 + n**2 - n**2 + 0*n**2 + 2*n**2 + (-3*n + 2*n + 3*n)*(-1 + 1 - n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 14*t**2 + 12*t + 12. Suppose 4*b + 0*m + 4*m + 36 = 0, 3*b = 3*m - 51. Is 9 a factor of f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 47*a - 14. Suppose 0 = -l - 3*l + 2*b + 18, 42 = 5*l + 4*b. What is the remainder when l is divided by r(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4439 by -193.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:55 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57912, -1\/2, -12 in increasing order.\nAnswer: -57912, -12, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 842, 1685, 2528?\nAnswer: 3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 27. Is 6 a factor of (9\/(-9))\/(j\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 + 3*p. Let n(d) = 4*d**2 - 5*d**2 - 2*d**2 + d**2. Calculate h(n(t)).\nAnswer: -28*t**4 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0*b**4 + 0*b**5 + 0*b**2 + 1\/42*b**7 - 5\/6*b**3 - 5*b + 0*b**6 + 0. What is the second derivative of x(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1331025, -1331706, -1332387, -1333068, -1333749?\nAnswer: -1334430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*m + 2 = 0, 13 = 5*j + 5*m - 4*m. Let l(z) = 10*z + 8*z**2 - 2*z + 2*z**3 - j*z + 3. Calculate the smallest common multiple of 21 and l(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*m = -201*m - 201*m + 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 34\/995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1. Let j be (-703)\/(-57) + ((-2)\/6 - 0). Let w(o) = 4*o**2 + 8. Let n(y) = j*f(y) + 3*w(y). Find the first derivative of n(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 - (10 - 5). Let m be 3\/(-9) - w\/18. Which is the closest to 5? (a) 4\/7 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0 + 0*l + 1\/192*l**4 - 1\/120*l**5 + 0*l**3 + 1\/160*l**6 + 27*l**2 + 1\/2688*l**8 - 1\/420*l**7. Let c(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 43*h - 13. Let u be g(-42). Let x = -659\/12 - u. Which is the second biggest value? (a) -1 (b) x (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 3. Calculate the remainder when 65 is divided by d(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h + 3. Let p(y) = -16*y**3 - 223*y**2 + 19*y + 73. Let d be p(-14). Let o(m) = -9*m + 3. What is d*o(g) - 4*c(g)?\nAnswer: 9*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.917 - -3.387. Let s = 42.17 + -42. Let p = t - s. Which is the second biggest value? (a) p (b) -0.4 (c) -3\/5 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4109*k + 4105*k + 2*t = -8, 187*k + t = -193 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -357, -362, -379, -414, -473?\n\"Answer: -f**3 + 2*f - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*q - 1. What is the third derivative of -w**4 - 3*w + 3*w + w**q wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7201807 divided by -7201807?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.8252 - 0.1748. Which is the second biggest value? (a) -1\/4 (b) i (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 3:52 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396\/(-14)*21\/(-12)*4?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -42. Let n = -2.98 - h. Let m = -40 + 45. Which is the third smallest value? (a) n (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(((212\/(-159))\/((-1)\/(-3)))\/162).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 1 (c) 11\/3 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-30))\/((-2)\/25059). Let b = q + -2099. Find the common denominator of b and -73\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 835*d**2*m**3 + 2*d**2*m + 192540*d**2 - 7*d*m**2 - 11*m**4 wrt m.\nAnswer: 5010*d**2*m - 14*d - 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -39\/2, -0.14, -1830 in descending order.\nAnswer: -0.14, -39\/2, -1830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.04 and 0.109588 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -k + 4, 0 = -3*k - k + o + 21. Suppose -5*z = 8*s - 5*s + 1591, 624 = -2*z + k*s. What is z rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 920 * 14.87.\nAnswer: 13680.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**4 + 8*x**2 + 3. Let w(y) = -2*y**4 - 9*y**2 - 4. Let m(z) = 4*n(z) + 3*w(z). What is the third derivative of m(d) wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -238, -224, -196, -154, -98?\n\"Answer: 7*x**2 - 7*x - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbalwjjlwjlwlbjlww. What is prob of sequence lj?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/27852 and 111\/4220?\nAnswer: 139260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/6)\/(10\/((-320)\/(-48)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 1846*t**2 - 1885*t**2 - 83 - 2*t + 81)*(-5 - 1 + 4).\nAnswer: 2*t**3 + 78*t**2 + 4*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10664733 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 45 in descending order.\nAnswer: 45, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g - 416. Let c be r(22). Let p(v) = 14*v - 2. Let a be p(10). Let h = c + a. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603818 is divided by 31768.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196238 is divided by 49044.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.18 + 9.2. Is -5 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i. Let k(l) = 52*l**2 - 39*l. Let n(z) = z**3 - 34*z**2 - z + 35. Let w be n(34). Give w*k(m) - 39*v(m).\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -4*f + 7*f. Suppose -4*a - 2*i = -a - 13, 3 = -3*i. Suppose -a*l - 4*w = -f, -3*l - 5*w + 18 = -2*l. Is 4 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h - 16. Factor 1 - h*u + 4 - 7 - 2*u**2.\nAnswer: -2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*f - 373375 = 0, 4*a - f = 2*f + 298665. Let j = 6330 + a. Round j to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -9. Calculate the remainder when 34 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 249*q - 17968 - 38532 - 38120. Calculate the highest common factor of q and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -3, 15, -8 in descending order.\nAnswer: 15, -3, -8, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d*d*d\/(d\/(d\/(d*d*d*d*d\/d**(-4)*d))))\/(d**(-1\/5)\/d)**(1\/5)*((d**(1\/4)*d*d*d)\/d)**(-25)\/(d**(-2\/5))**(-17) assuming d is positive.\nAnswer: d**(-7181\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/21*3*-353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360)\/690)\/(8\/(-276))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -395.0649287 and 140.1.\nAnswer: -254.9649287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a factor of 147276085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -10429802786?\nAnswer: -10429802786.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -31. Let q = x + -6.00035. Round q to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1 (c) -1\/886 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + 1*(((1 + sqrt(1539) + -4 - sqrt(1539) - sqrt(1539) - sqrt(1539))*-2)**2 + -2 + 5 + 1 + sqrt(1539)).\nAnswer: 441*sqrt(19) + 24666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 25 - 25. Let t(o) = 25225 - 25225 - 10*o**3. Calculate 3*t(b) - 16*u(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*b + 30, 3*q + 1 = 3*b - 5. Find the common denominator of (-3)\/q*152\/(-60) and -83\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26306 - 578731\/22. Which is the smallest value? (a) 3\/8 (b) -1\/4 (c) 14\/13 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -173394.807859 and 1.\nAnswer: -173393.807859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1303342 (base 6) to base 7\nAnswer: -413213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3320 divided by -5.\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, -16086, -22, -1 in descending order.\nAnswer: 10, -1, -4, -22, -16086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*m + 1. Let f = -128610 + 128771. What is the remainder when f is divided by 18*(3 + (m - -1))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 3*o**2 - o + o**2 - 6*o.\nAnswer: -2*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 3*d**2 - 2*d + 5. Let x be b(2). Suppose 133 + 23 = z + x*t, 5*t + 524 = 4*z. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**7\/60 - 2*z**6\/9 - z**5\/5 - 55*z**3\/6 + 74*z**2. Let h(k) be the first derivative of y(k). Factor h(r).\nAnswer: 2*r*(r - 6)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 29 = 2*n - 21, 4*n = 2*x - 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7075\/12 or 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6383 + 6536 = 20*a - 3*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -49, -168, -357, -616, -945, -1344?\nAnswer: -1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-8) + -2)\/(1086\/1448).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 24. Let v be x(-9). Let r = 127 + v. Let z = 29 - -1. What is the remainder when r is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 3*f + 2*f)*(-1 + 2*f**3 + 1) + (4*f**2 + 2*f**2 - 2*f**2)*(2*f**2 - 3*f**2 + 0*f**2) to q*f**4 + l*f + d + m*f**3 + g*f**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(-4 + 3 + 3) - 1 + 4 - 5)*(-69*k - 6*k + 24 - 31).\nAnswer: 450*k + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - ((-1088)\/20)\/8. What is the second biggest value in 2\/7, -2\/3, -0.4, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-18)\/864). Let l be (-16)\/s*(-6)\/116. What is the fourth biggest value in l, -2\/7, -4\/7, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000222240288 rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.72 - -21.62. Let z = -20 + j. Which is greater: 1\/4 or z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1898*0.1.\nAnswer: -0.01898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 6. Let k(o) = -2*o + 13. Let m(a) = -4*k(a) + 9*n(a). Let l be m(0). Let f(q) = -q**l + 0*q + 4 + q + 2*q. Calculate f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 6, y: 2, n: 1, j: 1, m: 5}. What is prob of sequence hmh?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(17) + 1) + sqrt(102)\/(-3*sqrt(6)))*4 + (0 + sqrt(833) + -5 - (5*sqrt(833)*-1 - sqrt(833))).\nAnswer: -9 + 131*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 35*k - 245. Let u be n(7). Let c(w) be the second derivative of 3\/10*w**3 - 28*w - 3\/5*w**2 + u - 1\/20*w**4. Factor c(a).\nAnswer: -3*(a - 2)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 3. Let q = -9 - -7. Let w be z(q). Let i be -80*((-2)\/w - 127). Round i to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-20) - 4\/10. Let n be (6\/(-3))\/((-3)\/6). Let r(g) = 5*g**2 - n*g**2 - g + g**2 + 4*g - 4. What is r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) 1 (c) 0.1 (d) 3 (e) 19732\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -11) + -6 + 9. Let b be ((-12)\/f)\/((-7)\/((-1890)\/(-24))). Calculate the greatest common factor of 215 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 124*k - 11726. Let o(r) = 5*r**2. Determine w(o(d)).\nAnswer: 50*d**4 + 620*d**2 - 11726","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**18)**(1\/5) assuming f is positive.\nAnswer: f**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/34 and -5\/119.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/10)\/(48\/(-180)*3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - x = 19*x + 126 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 787641 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 m when four letters picked without replacement from {m: 9, b: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, -2, 3\/8, -2\/19, 0.1 in decreasing order.\nAnswer: 90, 3\/8, 0.1, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 17\/24*c**4 + 0*c**6 + 21 + 0*c**7 - 1\/48*c**8 + 0*c + 0*c**3 + 0*c**5 + 2*c**2. Find the second derivative of q(f) wrt f.\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 26*p - 112. Calculate s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b + 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 20960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let p = -23 + 80. Let y = 56 - p. Which is the smallest value? (a) y (b) j (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1696?\nAnswer: 3\/1696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(sqrt(3) + sqrt(9)\/sqrt(3)))\/sqrt(2))\/(sqrt(2) + sqrt(224)\/sqrt(7) + (sqrt(2) - sqrt(128)*-2)).\nAnswer: sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 361788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 1\/23 (c) -2\/3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1 + sqrt(98))*-5 + (1 + sqrt(98) + 4)**2 - (-5 + (1 + sqrt(98) - sqrt(98))*-2)**2))*-6.\nAnswer: -396 - 210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w - 4. Suppose -5*l + 25 = 40. Let k be j(l). Suppose 6 - 2\/3*h**3 - 10\/3*h**k - 2*h = 0. What is h?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -6 - (4 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -138\/187, 154, 3?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 4. Let a(j) = -5 - 780*j + 401*j + 375*j. Calculate 6*a(m) - 7*l(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -405257289*l**3 - 3055671*l**2 - 5*l - 13 wrt l.\nAnswer: -2431543734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*d + 5015 = 292*d. Is d not equal to 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4) + (-6)\/(-8). Let y be (4\/(-56)*-7)\/((-1)\/300). Let s = -149 - y. Sort -2, l, s in decreasing order.\nAnswer: s, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h + 0*h - 7*h. Let f(v) = -10*v**2. Calculate f(r(q)).\nAnswer: -90*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/10 + (224\/(-35))\/8. Let f(r) = 172*r + 14. Let j be f(-6). Is o\/15*(j + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23418*m**2*v + 245*m**2 + m*v**2 + v**2 + 1333 with respect to v.\nAnswer: -23418*m**2 + 2*m*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -632 + 1006. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 9, p: 2, v: 3}. Give prob of picking 1 e and 1 d.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44359, -88767, -133175?\nAnswer: -177583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29178, 58040, 86902, 115764?\n\"Answer: 28862*x + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 80 - 59 + 39*m.\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3018, -2\/13, 128, -8 in decreasing order.\nAnswer: 128, -2\/13, -8, -3018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -5*a + 154. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2089564 is divided by 208953?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*n**2 + 16\/5*n**4 + 0 + 4\/5*n**5 + 4\/5*n + 24\/5*n**3.\nAnswer: 4*n*(n + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, -3.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -140*p. Let s(w) be the third derivative of w**5\/60 - 19*w**2 + 4*w. Determine t(s(h)).\nAnswer: -140*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:08 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 4*h + 16196 - 16213, c + 4*h = -19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137070 and 71100?\nAnswer: 108285300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 10. Let w be c(-7). What is the biggest value in w, -2\/5, -1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 50*o - 24*o = 21*o - 48, 0 = -2*a - 4*o - 36 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*t - 78*t + 299*t + 175*t to a*t + w and give a.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 40. Let p be d(-14). Calculate the highest common factor of p and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b4 + -12628?\nAnswer: -11934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-6\/17)*j)\/j**5 assuming j is positive.\nAnswer: j**(-40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458*g - g**2 - 2*g**2 + 7*g**2 - 1458*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9659*-0.28\nAnswer: 2704.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) + (-1 + sqrt(171))*2)**2 + 5 + ((-5 + sqrt(171) + sqrt(171) + -1 + sqrt(171) + 2)*1)**2)*-3.\nAnswer: -51 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - (-1 + 1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 - 8*j + 5. Let d(l) be the first derivative of l**3\/3 - l**2\/2 - 12. Let w(z) = 6*d(z) - s(z). Calculate w(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 2486.\nAnswer: 4\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y**3 + 4*y**2 + 11*y**3 - 18*y**3 + (-y**2 + 3*y**2 - 4*y**2)*(4*y - y - y).\nAnswer: -y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -29*p + 1. Suppose -4 = 6*t - 4*t. Calculate the remainder when c(t) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/20 - u**4\/6 + u**3\/3 - 10*u. Let h(f) = -f**3 + f**2 - f. What is -6*h(b) - 3*p(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**2 + 136*x - 2. Let m(a) = 17*a**2 + 203*a - 3. Determine 8*d(v) - 5*m(v).\nAnswer: 11*v**2 + 73*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -436779, 2, -8.\nAnswer: -436779, -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 0, -0.2, -4\/5, 0.7, -8\/11, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 0. Solve -5*p + 5*g - 15 = c, 3*p = 2*g - 4 - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 19 = -4*u - 1, 0 = 3*p + 47*u - 49*u + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4)\/(-1)*(-28)\/(1540\/33).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 212?\nAnswer: 4028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 1. Let j(g) = -2*g**2 - 6*g - 6. Let i(w) = 6*b(w) + j(w). Let r(h) = -48*h + 19*h + 24*h. Calculate r(i(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3095*h + 4691*h - 1596*h + 3*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 1 + 16 + -13. Suppose -d*u + 12 = 2*u. Solve 1 = -2*w - o, -u + 1 = 3*w + o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 <= 8561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-7) - (2 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5696 by -32.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102626*g**2 + 10*g + 10863 wrt g?\nAnswer: 205252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:26 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 11. Let d be x(6). Let a = d + 9. Let p(n) = 301877*n + 4 + n**2 - 301877*n. Let j(v) = 2*v**2 + 9. Determine a*j(u) - 9*p(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 29 - 35. Suppose 3*r - r - w = k, 0 = -5*r - 5*k + 40. Does 5 divide ((-26)\/(-8))\/(2\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p + 5. Let y(u) = 2*u**2 + u - 11. Determine 9*r(j) + 4*y(j).\nAnswer: -j**2 - 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*b - 6262 = -448 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 n when three letters picked without replacement from ndbwbwpwywbwwywpwbdy.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 2242.\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Let s = 31374 - 31379. What is the third biggest value in s, b, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4. Suppose 4*n + 3*u = 20, 0 = -3*n + 4*n - u + 2. Let y(j) = j**2 + j + 2. Let x be y(n). Let o = x + -8. Determine a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (71 + 11 + -23 - (3 + (-8 - 5))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -622695, -0.02 in decreasing order.\nAnswer: -0.02, -3, -622695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 12:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 94 = 4*h + 298, 5*f - 3*h = 261. Let p be 1\/2*2*1. Let a be (2*p)\/((-3)\/(-27)). What is the highest common divisor of f and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -44. Let l(o) = -4 + 1 + 1 - 12*o + q*o. Let k be l(1). Calculate the greatest common factor of k and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73760, -73777, -73794, -73811, -73828, -73845?\n\"Answer: -17*q - 73743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 976591638 a multiple of 1441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171504 and 54.\nAnswer: 171504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, g: 2, j: 4}. Give prob of sequence jyt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 4*b - 25, m - b + 103 - 98 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236066705.\nAnswer: 5, 7, 31, 217573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -385, -577, -769, -961, -1153?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54441.\nAnswer: 3, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - c**4 + 2*c**4)*(25*c - 9807 + 9807).\nAnswer: 25*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.96163196 to 1 dp.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*x**5 + 1143*x**4 + 2*x**3 - 4*x + 983558 wrt x.\nAnswer: -4460*x**3 + 13716*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -503 - -523.19. What is h rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 4*z + 410. What are the prime factors of z?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*l + 6 = 0, 0*z + 15 = -2*z + 5*l. What is the third derivative of -7*g**6 + 7*g**2 - 31*g**2 + 14*g**6 + z*g**6 wrt g?\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 407. Let c = 323.5 - g. What is the third smallest value in 0.3, c, 6\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 + -13 - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*9\/24*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*k + 20, -6*u = -2*u + 5*k + 25. Let f(z) = 1 + u*z**2 + 2*z + z**2 + 0*z**2. Let q(y) = y**2 + y + 1. Give -3*f(t) + 4*q(t).\nAnswer: t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 1960\/75 + -1 + (-52)\/(-60).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.94 + 3372.2.\nAnswer: 3374.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78943?\nAnswer: 89, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -25*y**9\/504 + 7*y**5\/60 - 11*y**2. Find the third derivative of z(s) wrt s.\nAnswer: -3000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-192)\/80))\/((25\/(-270))\/1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y**2 - 31*y - 36. Let f be h(6). What is the greatest common factor of 17139 and f?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110072?\nAnswer: 2, 13759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**4 + 116001*r**2 - 980993?\nAnswer: 4*r**3 + 232002*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9210460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90336 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/180 - 7*w**3\/3 + 16. Let r(d) be the third derivative of o(d). Let n(u) = 0*u - u - u. Determine r(n(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3074379, 12297578, 27669577, 49190376, 76859975?\nAnswer: 110678374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 59 = k - 40, -3*k = -3*m + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -906813 divided by -302271.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/8)\/(-6))\/(16\/(-112))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 4:07 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**5)\/b**(-1\/4)*(b*(b*b**(-2)\/b)\/b)**14*(b*b\/(b\/(b\/(b\/b**10*b)))*b*b**(-8\/9))**(-45) assuming b is positive.\nAnswer: b**(-1907\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/90*(-35)\/98. Suppose -12*s + 8*s = 9*s + 9*s. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 186. Let z be a(0). Let y = z + 485. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 13 (b) -265 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154636 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 x(v) = 8*v**2 + 89*v - 40. Let b(p) = 6*p**2 + 90*p - 41. Let f(w) = 3*b(w) - 2*x(w). Calculate the remainder when f(-47) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 996 - 992. Solve -2*b = -x*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3773 - 3681. Calculate the greatest common factor of 3496 and o.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + m - 20 = -3*m, -10 = 4*a - 2*m. Solve -4*u + 20 = -a*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 3. Let i be s(-5). Suppose 2 + 2 = i*r. Suppose -4*b + 43 = n + r*n, -n - 5*b + 29 = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -24333312*n**4 + 7543343808*n**3 - 584613118083*n**2 + 410540130*n - 72075 = 0.\nAnswer: 1\/2848, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361593 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + 6\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/4 + 139*g**3\/4 + 143*g**2\/2 - 139*g - 282 = 0 for g.\nAnswer: -2, 2, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116125369.00443 - 116124559. Let r = k + -810. What is r rounded to four decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 3*s**5 + 0*s**5 + (-2 + 1 - 1)*(s**3 + s**5 - s**3) + 4*s**5 - 3 + 3.\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1 - 2067\/30. Let k = x - -68. Find the common denominator of -63\/4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -186241674.43 and -12.4.\nAnswer: -186241686.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/9 - 569722*j\/9 + 1139452\/9 = 0.\nAnswer: -284863, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5))**(-41)*((r*r**(2\/43))\/r)**(-2\/133))**2 assuming r is positive.\nAnswer: r**(937876\/28595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 + (12 - 10) + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158829.\nAnswer: 3, 11, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.721 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.598 - -0.002. Let i = y - -0.4. Let v = i + -6. Is -0.1 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -328*y - 1. Is 17 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 114, 4, -5, -4\/5, -4?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23010 and 70?\nAnswer: 161070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3308*v + 13065*v - 3268*v - 3256*v - 3262*v.\nAnswer: -29*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -756*g + 690*g - 330 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11816428 and 1508.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 + -411. Let l = d - -293. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -582*r**2 - 9*r + 110. Let x(v) = -577*v**2 - 10*v + 126. Calculate -8*o(p) + 7*x(p).\nAnswer: 617*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 316484043*a**2.\nAnswer: -3*a**2*(a - 105494681)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-17)\/((-340)\/1350))\/((-3)\/(-308)). Suppose -42*f + 53*f - d = 0. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -21.52. Let s = i + -0.52. What is s rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from qqppq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -3, 64 = -5*k + 2*j. Let b(x) = 2*x + 29. Let v be b(k). What is the highest common factor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 22. Let d = q - -18. Suppose -3*b = 3*h + h - 64, -d = -5*h. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 822.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017035535 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34020 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -218*b + 14. Let q(a) = 2*a + 1. Give -30*q(c) + 2*t(c).\nAnswer: -496*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 3*m + m + (-6*m + 3*m + m)*(7 - 2 + 0).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -433 + 433.0514. Let w = -2.7786 - o. Let z = w - 0.17. What is the biggest value in -5, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 47, -5, 3, -4, 5 in ascending order.\nAnswer: -32, -5, -4, 3, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0 + 147*m**2 + 2*m + 0*m**3 + 1\/12*m**4. Let a(c) = 25*c + 6*c - 11*c. Calculate p(a(u)).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 42 - 37. Suppose 9*t = 7*t + 6. Suppose 4*n + 9 = n. Sort n, c, t in ascending order.\nAnswer: n, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 - 9*r**2 - r**2 in the form h*r**2 + u*r + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 20*l - 8. Give q(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/57 and 67\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {t: 1, i: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 191 = -4*a + 4*a - 48*b, 210*a = 207*a + b + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:58 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:35 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1423, -1571, -1817, -2161, -2603?\n\"Answer: -49*p**2 - p - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 2, o: 2, v: 4, n: 1, w: 1}. What is prob of picking 1 o and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -812, 7.6, -433, -1\/11 in ascending order.\nAnswer: -812, -433, -1\/11, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359611641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/7601 or 1?\nAnswer: 14\/7601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**3 + 0*n**3 + 5*n**3 + (-n - 4*n + 4*n)*(-6*n**2 - 4*n**2 - 4*n**2) + 0*n**3 - 4*n**3 + 7*n**3 + 2 - n**3 - 14*n**3 + 3*n**3.\nAnswer: 7*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299394207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 4*z + 9. What is the remainder when v(9) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/(-8) + (51\/(-68))\/(-3). Let q(i) = -4*i**2 - 30*i + 6. Let y(v) = -7*v**2 - 60*v + 11. Determine f*y(l) - 11*q(l).\nAnswer: 2*l**2 - 30*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -34*n + 409. Let a be i(17). Which is bigger: -852\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsssssppss. What is prob of picking 2 s and 1 p?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53118 by 1362.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11757 and 30.\nAnswer: 117570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 6:18 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkppppkj. Give prob of picking 1 k and 2 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333003002102 + -20?\nAnswer: -333003002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*r + 0*r**3 - 4*r**2 + r**3 + 9 in the form s*r**3 + h*r + t*r**2 + x and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 2*o**2 - 5*o**2 + (-45*o - 48*o + 20*o)*(o + 0*o + o) as l*o**2 + b + y*o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19388, -19246, -19020, -18698, -18268?\nAnswer: -17718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 15 + 15.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/31199 + -592821\/311990. Find the common denominator of 19\/110 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11480917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9)\/4*((-24840)\/243)\/46.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 + -125. Solve 4*k + 0 = b - p, -k - b = -4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 11. Let r be d(7). Let n(x) = -x**2 - 5*x + 1. Let u be n(r). Let z = 8 - u. Solve -6 = -z*g - 0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r + 2. Let b(n) = -n**2 + 12*n - 3. Let c(i) = -2*b(i) - 3*w(i). Find the second derivative of c(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.9282 centimeters in millimeters?\nAnswer: 7729.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -959 - -959.00002868. Round m to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20223*i - 7. Let x(w) = -9*w. Determine s(x(f)).\nAnswer: -182007*f - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 - (5 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-3) - (8 - -5 - 9).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3040 is divided by (-3)\/(-2) + (39\/26)\/((-15)\/(-155))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.8609 milligrams in kilograms?\nAnswer: 0.0000698609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/7 - 46*l**2\/7 - 156*l\/7 = 0.\nAnswer: -3, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165257783 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1179632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9169*i = -340412 - 796544 for i.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110958 is divided by 372?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 921264 and 4?\nAnswer: 921264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.26, -9, -5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -975, -2073, -3111, -4089, -5007?\nAnswer: -5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 8*v - 20. What is o(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1455*q - 1444*q + 22 = 418. What is the greatest common factor of q and 3768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 3430599*l**2 + 980749076265*l - 980752506867.\nAnswer: 3*(l - 1)*(l + 571767)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149552 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/72)\/(4\/16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-10))\/(2\/(-108)). Let u = a + -11. Suppose -o + 11 = -u. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:59 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/1)\/4)\/(24*49\/(-51744)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 0.012175?\nAnswer: 0.212175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 5 + -1*sqrt(99) - ((sqrt(99) - (0 + sqrt(99))) + -3))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 4, 1, 797, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-6))\/x)\/x**7*(x**(-2\/7)*x*x)\/((x\/(x\/x**(5\/2)))\/x*x) assuming x is positive.\nAnswer: x**(-179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 18*n**2 - 1596*n + 11667. Determine o(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x + 208*x - 4401 = 0. Solve n + 5*l = -20, -2*n + x - 31 = l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7828*h**3*k - 12*h**2*k + 254*h**2 wrt h?\nAnswer: 46968*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/44 - (-24)\/132\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19924 + 398389\/20. Calculate the common denominator of -15\/1276 and g.\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 6*sqrt(44) - sqrt(99)\/(-3*(sqrt(9)*-2 - sqrt(9)))).\nAnswer: 4 + 214*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 7 + 2)*(1 - 4 + 1)*(2*l + 2*l - 2*l) to the form w*l + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -46. What is the remainder when o is divided by ((-22)\/33)\/((-3)\/171)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1620) + sqrt(360)\/sqrt(200))\/((sqrt(90) + (sqrt(90) - (sqrt(90) - (4*sqrt(90)*1 - sqrt(90)))))\/(sqrt(1440) + sqrt(1440)*2))*-4.\nAnswer: 3204*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**5 + 195*q**4 - 2390*q**3 + 7290*q**2 + 22555*q + 12675 = 0.\nAnswer: -1, 13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 2 - (-4 + 35)*-19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63, 90, 135, 198?\n\"Answer: 9*d**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*27\/(-180)*4\/(36\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/7))**(-4)*(g*g**1*g)**48 assuming g is positive.\nAnswer: g**(972\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 6*n + 30. Let g be b(7). Let m = g + -608\/5. What is the second smallest value in 2, m, -5\/3, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31.613, -6, 1\/3.\nAnswer: -6, 1\/3, 31.613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-4)\/(-15)*(-5)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -12\/5 - 3\/5*s**4 + 12\/5*s - 6\/5*s**3 + 9\/5*s**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -1, 43, 5, -9.\nAnswer: -9, -1, 0, 5, 26, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 + (-64)\/(-20). Let d(g) = -g**3 - 15*g**2 - 2*g - 26. Let v be d(-15). Solve 11 = -v*t + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/972 and -79\/1188.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + k + k)*(-105 - 145 + 20) to v*k + s and give v.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -40*z**2 + 205*z - 5. Calculate h(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -314526*c - 4717905. Determine u(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3419 and 4849.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126939 and 2227.\nAnswer: 126939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12868 + 12904. Let u be (-42)\/4*(0 - 12). Calculate the highest common factor of u and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567006 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d + 5. Suppose -w - 8 - 8 = y, 5*y - 5*w = -30. Let h be 6\/3*y\/(-2). Let i be k(h). Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 4, i: 2, a: 1, g: 7}. What is prob of picking 1 x, 1 a, and 2 i?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4132919 and 3515460.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 18 = -0*j. Let q = 8 + j. Let t be 189999 + (q + -1 - 0). Round t to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqq when three letters picked without replacement from nqqnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1828889*p + 914365*p + 914463*p - 45*p**2 as m*p**2 + k + t*p and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s**5 - 239*s**4\/4 - 371*s**3\/4 + 23*s**2\/2 + 12*s = 0. Calculate s.\nAnswer: -8, -2, -1\/3, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*w - 10 = -8*w, -15 = -3*g + 2*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -2*a**5\/5 - 19*a - 23. Differentiate n(q) with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/15*(-35 - -25). Suppose 5*w - 3*n + n + 12 = 0, 3*w - 4*n = 4. Sort -2, x, w in decreasing order.\nAnswer: x, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38842726511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14462 - -14462.03. What is the second biggest value in -76, l, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2324047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/12*36\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12177 times 5.8\nAnswer: 70626.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247.638 centuries to millennia.\nAnswer: 24.7638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51521 (base 10) to base 16.\nAnswer: c941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*m + 3*x = 236*m, 0 = -3*m - 2*x + 10 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 greater than 36777\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3026172087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2348 + -1610. Suppose 12*n - w = 114. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0.4. Let o = -34.187 + 36.187. Which is the closest to 0.03? (a) o (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*o - 298 = 0, b + 88 = 2*b - 5*o. What is the remainder when 138 is divided by b?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - g = -221, g + 2 + 2 = 0. Let m(y) = y**2 - 7. Let c be m(6). Let d = -13 + c. Calculate the remainder when s is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28683 and 85788?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 - 1)*(6 - 6 - 6*v**2) - 149*v**2 - 32*v**2 - 9*v**2 + 3*v**2 + 3*v**2 - 3*v**2 + 2*v - 2*v**2 - 2*v + (-2*v + 0*v + 3*v)*(-5*v + v + 2*v).\nAnswer: -167*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 10 = 3*l, -5*h = -3*l + 38. Calculate the remainder when 15 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 y, and 1 a when three letters picked without replacement from {y: 1, t: 1, a: 2, p: 1, x: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 319 = 599. Suppose -o - 5*o = -z. Find the first derivative of -25 - 12*n + o - 39 wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooroooro. Give prob of picking 4 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 19 = -4*n, -3*n = -2*x - n + 4. Let t = -0.062 - 2.938. Which is the closest to 0.1? (a) t (b) 4\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0 - -2)*-37)\/1. Let f be (o*5\/(-30))\/(1\/9). What is the highest common factor of f and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + g + 8 = 0, 0 = 6189*o - 6194*o - g - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 37 = -3*t, 2*t = 4*z + 23 - 29 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108234, -108194, -108154, -108114, -108074?\n\"Answer: 40*g - 108274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -404 - -624. Let b = a - 231. Is -2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 166\nAnswer: -3\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (437292\/(-12))\/(-9) - -11. Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1590, 6099, 13552, 23955, 37314, 53635, 72924?\nAnswer: 95187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - u + 4 = 0, 2*x + 0*u + u - 2 = 0. Suppose 5*i = -4*w + 42, -x*i - 9 = -w - 4*i. What is the remainder when 50 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:41 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2456, -2 in decreasing order.\nAnswer: 4, -2, -5, -2456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*j**2 + 204*j**2 - 103*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493651 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 997*b + 2002. Calculate r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - 17. Let v be (10\/6)\/((-15)\/c). Solve 3*y = 5*u + v*y - 29, -3*u + 2*y = -7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**2 - 369 - 358 - 521 + 1248 - 3*d**2 + 17*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -134, -538, -1204, -2126, -3298, -4714, -6368, -8254?\n\"Answer: n**3 - 137*n**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25655, 1, 0.3, 0?\nAnswer: 25655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -13\/2*b**2 + 0*b**5 + 0*b**6 + 14 + 0*b**4 - b**3 + 0*b + 8*b**7. Find the third derivative of j(i) wrt i.\nAnswer: 6720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4 - 0. Let o(w) = 2*w**2 - 2*w + 1. Let t be o(i). Let f(m) = -t*m - 4 + 2*m - 2. Calculate f(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12095 - -21668. Does 143 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -84, -60388, -5 in descending order.\nAnswer: 4, -3, -5, -84, -60388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73842*p**3 - 276*p**2 + 3948*p + 4873 wrt p.\nAnswer: -443052*p - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-15)\/l)**(-9)\/(l**(-1\/16)\/(l**(2\/11)\/l)) assuming l is positive.\nAnswer: l**(25211\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 35*o**2 - 14*o + 4. Let p be d(-5). Round p to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 341?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(-3)\/(-6). Let i = 5167.6 + -5168.6. Which is the second smallest value? (a) i (b) 10 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -50.3\nAnswer: -10.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 14*s + 11*s - 8*s + s - 81*s**2.\nAnswer: -81*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2072 - 5191 + 13*a + 3119.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 240 - 76. Let o = 154 - q. Sort 5, 3, -1, o in decreasing order.\nAnswer: 5, 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*r - 16. Find the third derivative of -5*p**2 + 0 + p**2 - p**r + 0 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 246. Let d = l + 80. Is (6\/9)\/(0 - d\/27) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405707 >= 405695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -380, -2002, -4700, -8468, -13300?\n\"Answer: i**3 - 544*i**2 + 3*i + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -334253?\nAnswer: -334247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 239822 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 - -7. Let f = -21 + 22.1. Let j = f - 1. What is the closest to -2 in 2, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8056710 is divided by 244141?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2336238.\nAnswer: 2\/1168119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3592)\/177804 - 14846\/198.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -340*j - 364. What is c(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2707 is divided by 146?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 263*s**3 + s**2 - 6*s. Calculate the remainder when 1025 is divided by n(1).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/14? (a) -3 (b) 1.6 (c) -188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13 = -a + 3*o, 5*a - 5*o = 30. Suppose -c - 1 = 0, -3*i - a*c + 5 = 2*i. List the prime factors of (9\/i + -3)*14.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - -3 - (-49 + 64)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 976951221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 940028546 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7121 is divided by 7119.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/13)*t\/(t\/t**9)*t)\/(t**(-1\/9)*t)**(-11\/4) assuming t is positive.\nAnswer: t**(1465\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 - 2*t**3 + 3*t**3)*(-47*t - 1182 + 1182).\nAnswer: 141*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 247960, 495918, 743886, 991870, 1239876, 1487910, 1735978?\n\"Answer: u**3 - u**2 + 247954*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40784512351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r**2 + 2. Let d(o) = 20*o**3 + 8. Let w(n) = 4*b(n) - d(n). Factor w(p).\nAnswer: -4*p**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002087830371 rounded to five decimal places?\nAnswer: -0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246291 is divided by 3561?\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m + 1\/2*m**2 + 3025\/2 = 0. Calculate m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:56 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595 is divided by 136?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/(-4))\/((-1)\/4). Let v = 0.67 - -45.33. Let m = v + -47. Sort m, z, -2 in ascending order.\nAnswer: z, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6))**33 assuming s is positive.\nAnswer: s**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3887*u**2 - 9015930 + 9015930 in the form y*u + g*u**2 + a and give g.\nAnswer: -3887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + 9 + -2 + -12 - 28\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1296 divided by -2\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 + 3.8. Suppose -5*g + 25 = -3*u, -u - 2*g - 14 + 13 = 0. Which is the nearest to -2? (a) u (b) -1\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 1\/6, -4298?\nAnswer: -4298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 11*s - 140 = -6*s, -5*g + 5*g - 8*s + 48*s + 40 = 0 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -91, -3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1416\/18 - 1\/(9\/6). Suppose 4*f - 78 + d = 0. Suppose -3*i + 3263 = -4*s, 5*i + 2*s + f*s - 5395 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + (-3*sqrt(66) - sqrt(66)))*6 - sqrt(66))\/((sqrt(72)\/sqrt(2))\/sqrt(6)) + ((sqrt(704) + sqrt(11))**2 + -1*sqrt(11) + -1)*-3.\nAnswer: -2670 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-205)\/(-25) + (-2)\/10. Suppose -m = -d + 2*d - 3*j, j = -5*d + 24. Let n = 4 - d. Solve -5*c + n = -25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 72*t**3 - 4*t**2 - 5*t + 78*t**3 - 221*t**3 - 2 + 70*t**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1298 + 1027\/351758. Let v = -147 + 148. Which is bigger: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2989906 + 0.08?\nAnswer: -19.2189906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62941, -125882, -188823, -251764?\nAnswer: -314705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.8 + -25.800002862. Round c to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2912 and 1306032.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (8 - 3) - (-7 + 11 + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.59 - -24.8. Let r = i + -4.55. What is r rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 17*u + 670. Calculate x(-29).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0*g**2 + 56 + g**2.\nAnswer: g**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, 69, 175, 281?\n\"Answer: 106*u - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 9. Sort z, 0.115, 3\/2 in ascending order.\nAnswer: z, 0.115, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + b**2 + b + 1. Let t(z) = -41*z**3 - 8*z**2 - 7*z - 8. What is 24*d(h) + 3*t(h)?\nAnswer: -99*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 388617095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -379 + 199. Let j(x) = x**2 - 17*x + 58. Let d be j(13). Let z be 8\/d*o\/(-40). Solve -15 = z*m - 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 12.8 (c) 9 (d) 5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = g, -2*k - 21 = 5*g + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 11*j**2 - 24*j - 15. Let t be d(-2). Solve t*x = 3*p - 10, p + 2*x + 5 = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)\/((-8)\/144*-42). Let p = 1 + 0. Is p at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/32)\/(9\/(-2)). Which is the third biggest value? (a) g (b) 1\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 6*l - 3*l + 4*g, -3*g = -2*l + 4. Let f = l - -3. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*a**4 - 25*a**2 + 25*a**2)*((1 + 1 + 0)*(0 - 2 + 4) - 3 + 3 - 1) to v + x*a**3 + u*a + c*a**2 + y*a**4 and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/4*58\/87?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - -9. Let i be 27\/c - (0 - -1). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3362*t + 1689*t + 676 = -1699*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + -8. Let w = -27 - k. Solve 3*d + o + 10 = 1, -4 = -2*d - w*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -755*j + 1722. Determine a(2).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 5*c. Suppose -c*z + 5*z = 50. Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/14*-7*(3 + 1). Suppose -d*p = -1528 - 2658. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i**2\/4 + 20971*i\/4 + 380 = 0. Calculate i.\nAnswer: -5\/69, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*1\/(-2))\/((5\/(-84))\/((-1224)\/(-1428)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 15 - 13 + u**2 + 0*u**2 + 42 - 18*u**3 as z*u**3 + t*u**2 + x + w*u and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116116522 to the nearest integer?\nAnswer: 10776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011010101100100 (base 2) to base 9.\nAnswer: -130574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 99?\nAnswer: 130\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (84\/48)\/(1\/(-4)). Let z be f*8\/84*-3. Let s be 29 - 4*z\/4. Solve 0 = 2*h - 5*d - s + 3, 5*h + 2 = -3*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + -2.7. Suppose -3*n - 2 = 2*z - 0, 2*z + 4 = -2*n. Which is the closest to 0.1? (a) g (b) -2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/18 - (125\/(-330))\/25\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6))**(1\/21) assuming h is positive.\nAnswer: h**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 - 54. Let h = -53 + 171. Suppose -4*u - u - 2*b = -h, u = 3*b + 27. What is the highest common factor of q and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1246 and 356.\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((130\/(-6))\/(-13))\/(7 - 1330\/189)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 1 + o**3 + o**2 - 3*o**3 - 3*o**2 + o**2. Let h be v(-1). Solve 0 = i - 3*w + 2*w, 3*w + h = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -1338.39?\nAnswer: 1341.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**7\/6720 - 13*g**5\/960 + g**4\/16 - g**3\/3 - 55*g**2\/2 + g + 41. Let z(y) be the second derivative of m(y). Factor z(q).\nAnswer: (q - 3)*(q - 1)*(q + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2687823.74 - 13.\nAnswer: -2687836.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 498997927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from pxppfxpxppxxppx?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26018, -26015, -26012, -26009, -26006, -26003?\n\"Answer: 3*w - 26021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 + 2 + (-17 - -73 - (-14 - -71)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -7704.\nAnswer: -1\/3852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 49. Let t = a - -55. Let u = 0.02 - -0.18. What is the closest to 1 in u, 0, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 5:30 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 937935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.3845 rounded to 0 dps?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 328, -0.2, 4, -1?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146711177 a multiple of 1841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 + 4 + p + p**2 + p + 0*p. Is b(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4611 (base 10) to base 11.\nAnswer: -3512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 12*c - 4*f + 120, 3*c - f = -c - 51 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -7 - 11*11. Let r = h - -176. What are the prime factors of r?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172765 to the power of 1\/2, to the nearest integer?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920\/7647 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7399\/(-14)*(1 - 21\/49). Which is greater: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/55640 and -97\/69550.\nAnswer: 278200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 - s + 2. Let c(p) = -p**2 + p + 1. Let q(a) = -2*c(a) - i(a). Let h(x) = -4*x**2 - 2*x - 7. Let j(f) = -3*h(f) + 5*q(f). Give j(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118 + 257. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*j - 1388 + 1388 - 13*j as x*j + c and give x.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30125 divided by -1.\nAnswer: -30125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 + 4*r**3 + 5*r**3 - 11*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/31735 and -57\/42276790.\nAnswer: 465044690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 2 - 6)*(33*j**4 - 11*j**3 + 11*j**3) to the form w*j + d*j**4 + m*j**3 + f + v*j**2 and give d.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 315\/75 + (-2)\/10. Suppose -v*g + 7 = -73. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h + 37. Let f(i) = -15*i - 75. Let p(q) = 6*f(q) + 13*r(q). What is the units digit of p(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(4752)*-1)\/((1*sqrt(54)\/sqrt(3))\/((sqrt(66) - sqrt(66)*2)\/sqrt(11)))*-2.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-39)*(a**(1\/3))**(-1\/25) assuming a is positive.\nAnswer: a**(2924\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284000.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (5 - (9 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.519 minutes in microseconds?\nAnswer: 22351140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:08 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 912042 and 13218.\nAnswer: 912042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2963 - -2?\nAnswer: 2965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**2 + 0*w**3 + 2\/5*w**5 + 0 - 14*w - 19\/12*w**4. What is the third derivative of u(d) wrt d?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, b: 4, k: 3}. Give prob of sequence bs.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -13\/16 (c) 2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 18*n - 82*n + 15*n + 16*n + 15*n + 16*n.\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/15)\/((-6)\/3 - (-50)\/15). Factor -6\/5*p + y*p**3 - 3\/5*p**2 + 0.\nAnswer: 3*p*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -4, 42.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13*(10\/3 - 3) - -5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-70))\/((-111093)\/3898)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -369*l**4 - 34*l**2 + 3*l wrt l.\nAnswer: -8856*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 41*j**2 - 2*j**2.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i = -1126707 - 848028. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d**11)\/(d**(3\/20)\/(d\/d**(7\/3))) assuming d is positive.\nAnswer: d**(571\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 + 292. Suppose -3*u + n = 4*c, -5*c + 2*u + 144 = -0*c. Suppose 26*t - c*t + 12 = 0. Solve 3*f = t*v + 27, -2*f - 3*f + 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, k: 7, c: 1, f: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -636*p**3 + 642*p**3 + p**2 + 29*p - 27*p - 6 - p**4 to the form u*p + h*p**3 + x*p**4 + t*p**2 + n and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/2, -190, 20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 235 = -4*h, 243 = n + 2*h + 38. Let k = n - 97. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59430 divided by -3\nAnswer: 19810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1058 - -1062. Put r, -1, -35, -2 in increasing order.\nAnswer: -35, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1 + 5 + 7 - 17*f**2 - 9*f. Let r(b) be the second derivative of 3*b**4\/4 + 5*b**3\/6 - 3*b**2 + 3*b - 80. Determine 11*r(g) + 6*u(g).\nAnswer: -3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -88. Let d = l + -45.3. What is the third biggest value in 5, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**3 + 70*x**3 - 35*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2144*k**2 - 15*k + 25 - 4*k + 2163*k**2. Let d be z(-20). Solve 0 = -q + 8 - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.363 - -0.063. Let w = -16.2 - -16. Which is the fourth smallest value? (a) -2\/13 (b) w (c) -17 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:05 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886 a factor of 10508792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139192834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 3\/17, 3, 0, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:43 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78797, -78774, -78703, -78560, -78321, -77962, -77459?\nAnswer: -76788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -152820, -152817, -152812, -152805?\n\"Answer: x**2 - 152821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -886997 - -12423727\/14. Let y = 2906\/7 - b. What is the common denominator of y and 3 + -1 + 214\/(-32)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**2 - 8*q - 2. Let o be g(-7). Let w be (-18)\/o + (4 - 0). Solve -m + w = 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 270785, 1082995, 2436635, 4331705, 6768205, 9746135?\n\"Answer: 270715*x**2 + 65*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.93, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 + 4)*(-13 + 7*m + 13) + (-2 + 0 + 4)*(2*m - 2 + 2).\nAnswer: -38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.146 - 20.054. Let a = 20 + t. Sort -2\/3, a, 1\/5 in increasing order.\nAnswer: -2\/3, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 98*y - 4. Let n be s(4). Suppose 3*l + 52 = n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 60 = -z. Suppose -z - 4 = -2*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from uqutuuluuwuuuulutu?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*y**3 + y**3 + 91*y**4 - 95*y**4 + 438 - 3*y**3 with respect to y.\nAnswer: -16*y**3 - 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 5, -3, -53 in descending order.\nAnswer: 5, -3, -53, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-2 - -5))*(2708\/160 - 17)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 5, 1.1, -1.3, 11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 r, 1 n, and 1 x when four letters picked without replacement from arjsnssnssxan.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 54*f + 547. Calculate d(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5354.1694 * -1\nAnswer: 5354.1694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 3 (b) 2 (c) 0.3788\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 + -147 - ((-9 - -6) + 62).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-3))\/((-2)\/10). Let b(z) = 19*z**3 - 210*z**2 + 15*z - 44. Let n be b(11). What is the fourth smallest value in h, -0.3, 2, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13083 + 13166.834. Let z = -84 + b. What is z rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(14\/700*575 + 13*-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 i when four letters picked without replacement from {g: 1, y: 3, i: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*f**3 + 39*f**3 - 16*f**3)*(f + 1 - 1) + 19*f**2 - 7*f**3 + 2*f**4 + 5*f**3 + f**3.\nAnswer: 9*f**4 - f**3 + 19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(784\/(-60)))\/((684\/96)\/(-19))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*(-126)\/(-27). Let a(m) = -9*m**2 - 3*m - 8. Suppose -8*c = -9*c + 4. Let j(b) = -5*b**2 - b - 4. Let z(p) = c*a(p) + q*j(p). What is z(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16406*b - 16406*b + 3*b**2 - 4570*b**3 - 3*b**2.\nAnswer: -4570*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 9. Calculate the remainder when 16 is divided by n(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/2*(-5)\/(-10). Suppose -k*m + 4*m = -2. Let d = 93 - 650\/7. What is the second smallest value in 1\/3, d, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147*v**4 + 254*v**3 + 18*v**2 + 9431686?\nAnswer: -588*v**3 + 762*v**2 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 + (-54)\/(-9) + -3 and 365.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -850\/83?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 + 0 = 0. Suppose -8 = -x + c. Calculate the smallest common multiple of 6 and (7\/x)\/((-2)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrx when three letters picked without replacement from {x: 3, t: 1, r: 6, v: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 6*i**2 - 2*i**2)*(0*i**3 - 4*i**3 + i**3) + 3*i**2 + 2*i**2 - 3*i**2 + i**5.\nAnswer: -2*i**5 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/12))\/r**(-3\/14))**(-1) assuming r is positive.\nAnswer: r**(-193\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 113 = 5*u, -u - 2*z + 5*z = -16. Suppose u*v - 26*v = -147. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -17.3. Let d = k + -4.3. Sort d, -0.5, 2\/3.\nAnswer: d, -0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:00 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2. Let a be (100\/160)\/(5\/4). Let f(l) be the first derivative of 0*l + a*l**2 + 1. Calculate f(b(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m**3 + 10*m + 7. Let i(b) = -19*b**3 + 2*b**2 + 9*b + 7. Let t(a) = 3*i(a) - 2*o(a). Let c(j) = j**3 - j**2 - j - 1. Determine 14*c(l) + 2*t(l).\nAnswer: -16*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 16 = 3*u, -d + 40 = 5*u + 4*d. Solve 2*v = u*i - 14, 3*i = 5*v + 6 + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 6*c**2 - 13*c + 9. Give v(6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + z**2 + 0*z**2)*(2324*z - 4296*z - 3559*z) in the form w*z**2 + t*z**3 + i + c*z and give t.\nAnswer: -5531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - (-56)\/(-35)*-5. Which is the smallest value? (a) 0.4 (b) -0.9 (c) w (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -0.3, -18?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1956.567 + 1922.9. What is q rounded to zero decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5576\/328 - (0 - -5*4))*(-2)\/6. Let b be 1 - (0 - -2)\/(-2). Put b, h, -12 in increasing order.\nAnswer: -12, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 15, -8*i + 1492 = -5*a - 4*i. What is a rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*c + 303*c + 2*n = -94, 0 = 5*c + 14*n - 62 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxp when three letters picked without replacement from pmmmmmmxmmxmuxlmplx?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -23. Suppose 5*l + 4*q - 25 + 3 = 0, l - 3*q = -a. Determine h, given that 3*h**2 + 5 - 5 + l*h + h**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*o - 634*o + 110 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13550141, 13550115, 13550071, 13550009, 13549929, 13549831?\n\"Answer: -9*m**2 + m + 13550149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 492147217234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-2)\/(-1)))\/(((-81)\/144)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0)\/(v\/(v\/((v**17\/v*v)\/v))) assuming v is positive.\nAnswer: v**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10817, 10893, 11111, 11543, 12261, 13337, 14843?\n\"Answer: 12*k**3 - k**2 - 5*k + 10811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 5:57 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 7:46 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 o when three letters picked without replacement from {n: 4, o: 5, p: 3, w: 1, i: 1, t: 6}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -148*u**2 - 11240*u + 608 = 0.\nAnswer: -76, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/5 of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1085876 and -33\/11692.\nAnswer: 85784204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27262114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10551185600 rounded to the nearest one million?\nAnswer: 10551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(7)*1) + -4*sqrt(242))**2.\nAnswer: 3698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 244?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 4*v**2 - v**2)*(-v - 3 + 3) + 2*v**3 - 3*v**3 + 2*v**3 - v**3 - v**3 + v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17015.3 minutes?\nAnswer: 1020918000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 465 and 201?\nAnswer: 31155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4\/5 (b) -0.05 (c) 0 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 293*x**2 - 2*x + 278. Give i(0).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266474 times 2?\nAnswer: 532948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 170 = -34*g. Suppose 0*z = -2*z - i - 8, z + 4 = -4*i. What is the remainder when 84 is divided by (88\/z)\/(1 - g)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69884868.\nAnswer: 2, 3, 5823739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -3 - (20 - 12)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 divide 26708528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*f*i*z + 5*f*z - 8*f - 3*i*z + z wrt i.\nAnswer: 63*f*z - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -760, -3038, -6836, -12154, -18992, -27350, -37228?\n\"Answer: -760*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (4 - 3) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -11*r**2 - 4*r + 1612. Let g(f) = 22*f + 3. What is 5*g(z) + 4*v(z)?\nAnswer: 22*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(5*x + 3*x**2 - 5*x) + 9*x**2 + x**2 + 0*x**2 as y + c*x**2 + t*x and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69\/308 + -2\/77. Let p = 2.3 + -2. Let k = 0.2 - p. Which is bigger: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 20 - (-5 - -7)) + -25 + 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 33*u**2 - u + 1. Calculate the remainder when j(1) is divided by (-66)\/(-14) - 2*(-6)\/42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.11 - -41.03. What is the smallest value in -4\/7, z, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + z - 7 = 0, z - 17 = 11*m - 8*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -431 - -436. Let d be ((-22)\/30)\/(-9*j\/(-300)). Does d = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-235)\/94)\/((-2)\/(-12)). Let b = -15 - n. Solve b*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*r - 169. List the prime factors of 9 + ((-2)\/(-7) - (-546)\/r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h**4\/5 + 28*h**3\/5 - 32*h**2\/5 + 4*h\/5 + 6\/5 = 0. What is h?\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -8. Let h = t + 16. What is the second derivative of 5*a**4 - h*a**2 + a + 6*a**2 + 0*a wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*o = c - 416*o + 19, -4*o = 7*c - 23 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**8\/560 - 2*s**7\/175 - 3*s**6\/200 - 91*s**2\/2 - 87*s. Let x(m) be the first derivative of h(m). Factor x(z).\nAnswer: -3*z**3*(z + 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/4*(-8)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(180\/27)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31358, 62720, 94080, 125438, 156794, 188148, 219500?\nAnswer: 250850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a*g*k - 96*a*g + 9*a*k**2 + g*k**2 + 859*k**2 wrt g?\nAnswer: 5*a*k - 96*a + k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8477417 smaller than 8477432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071029395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.745318ml?\nAnswer: 0.005745318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**8)**(-2\/11) assuming l is positive.\nAnswer: l**(32\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from uugxywwuwgydgwuywxw?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 11) to base 8.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 15 = 4*x - x, x = 5*b + 5. Let r(m) = 58*m**2 + 0 + 7806*m - 7803*m + b. Let d(h) = -2*h**2. Calculate r(d(o)).\nAnswer: 232*o**4 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 4) + (6 - (4 + (3 - 4)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 39252.\nAnswer: 2472876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, n: 5}. Give prob of sequence nz.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 2:05 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*x**4 + x**2 + 317?\nAnswer: -144*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 26*r + 14. Let p be (75\/(-10) + 8)*(1 - -11). What is the tens digit of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-8))\/(3 + (-5080)\/1696). Solve -52*i - 6 = -u*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1685*l**4 - 262 - 2*l**2 + 3320*l**4 - 1620*l**4 as o*l**4 + m*l + v*l**3 + d + j*l**2 and give d.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*h**2 - 14*h**2 - 32*h**2 - 11*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Suppose -20*b = -15*b + 355. Let f = 71 + b. Solve s + f*s + i = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/13 + 204*x**2\/13 - 32*x = 0.\nAnswer: -104, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 14*n**2 + 14*n + 20. Suppose 5*z = 3*w + w + 84, -3*w = 2*z + 40. List the prime factors of d(w).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 6*w + 2. Let v be k(-6). Let h be 12\/((-3)\/3) - -4. Let s be (8\/(-12))\/(h\/(-12)). Which is the closest to -2? (a) s (b) 2\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135.9 + 136. Put -69, 3, a in increasing order.\nAnswer: -69, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112567789207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 + 10)*(42\/4 - 5). Let h(u) = -u**3 + 3*u**2 - u - 2. Let p(j) = 4*j**3 - 15*j**2 + 6*j + 11. Calculate i*h(l) - 2*p(l).\nAnswer: 3*l**3 - 3*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j + 3*j + 3*j)*(3*j**2 - j**2 - j**2) + 720*j + 138*j**3 - 720*j.\nAnswer: 137*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -326 (b) -0.2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h + 2*h**3)*(0 + 2*h**2 + 0) + (13*h**5 - 7*h**5 - 63*h**5)*(-3 + 2 - 6).\nAnswer: 403*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1\/1)\/((-13)\/((-1378)\/901))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-44)\/12 + (-8)\/(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71161, 142295, 213429, 284563, 355697?\nAnswer: 426831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/s*s**(-2\/3))\/(s**1)**(2\/17) assuming s is positive.\nAnswer: s**(-415\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*g**2 - 2\/7*g + 0 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 10:29 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 2478.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + (-4 + 15 + -7 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + (2 - (3 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6747, 13758, 20769?\n\"Answer: 7011*i - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - 3*h - 3*h + 132 + 108*h - 132 + (4*h + 0*h - 3*h)*(2 + 4 - 5) to m + c*h and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367911033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37897, -37477, -37057, -36637?\n\"Answer: 420*g - 38317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*j**2*o**2 + 44*j**2 + 291*o**3 - 75 wrt o?\nAnswer: -70*j**2*o + 873*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + -76.33. Let m = 0.03 + j. Let z(h) = 2*h + 8. Let d be z(-6). Which is the closest to -1? (a) d (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 3 - 3\/2*-2. Factor 2\/5*w**2 + 0 + 0*w - 2\/5*w**k.\nAnswer: -2*w**2*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/2)\/(10\/20). Suppose -3*k - r = 4*g, g = -4*k - 15 - 3. What are the prime factors of 1*5\/((-10)\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.9 + 1.1. Let q = -8.003 + m. Round q to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*w + 154 = 0, 3*w + 17 = 8*d - 286. Solve 0 = 15*j + 21*j - d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/16 in 63, -1\/34, 5?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -658, -1316, -1972, -2626, -3278, -3928, -4576?\n\"Answer: k**2 - 661*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -0.08 (c) -3 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -42*d**3 - 5*d**2 + 7*d + 122. Let m(n) = 21*n**3 + 3*n**2 - 4*n - 61. Let w(v) = 3*i(v) + 5*m(v). Differentiate w(y) with respect to y.\nAnswer: -63*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-15 - (-4 - 30))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jssstjjjes.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + a**4\/2 + a**3\/3 - 4*a**2 - 4*a. Let m be q(6). Solve 0*h = h - 3*s + m, -s = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 14*q**2 - 15*q - 7. Calculate l(13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f - m + 23, 2*f + 2*m + 14 = 0. Which is the smallest value? (a) -4 (b) f (c) -4\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)\/(m*m**(-4\/25)\/m) assuming m is positive.\nAnswer: m**(118\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**3\/6 + 3*y. Let s be (-1 + -5)\/((-4)\/(-6)). What are the prime factors of h(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 17. Let f be i(16). Let z(x) = -5*x**3 + x**2. Calculate the lowest common multiple of 10 and z(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 2*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17792 - 5935 - 5920 + 8*r + 3*r - 5937.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 49 + 19*q - 17*q.\nAnswer: 2*q + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 0.3 (c) -1\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:41 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -3\/5 (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17074 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n + 1. Let q be g(-2). Suppose -6*a + q*a + 7*a = 0. Suppose r - 2 = -a*r. What is the lowest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2 - 6. Let z be 1 - (c + 62\/22). Put -0.4, z, -1\/2 in descending order.\nAnswer: z, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4*3714\/(-36))\/((-1)\/(-12))?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 0*z - 3*z)*(-5*z - z + 4*z + z - 2 + 2 + (-3 + 3 - z)*(-3 + 0 + 1)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k**(-1\/26))\/((k\/k**7)\/((k*k*k**(-5\/3))\/k)) assuming k is positive.\nAnswer: k**(2777\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3714252.4 to the nearest 10000.\nAnswer: 3710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 882, 1, 9, 4, 5 in descending order.\nAnswer: 882, 9, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -925223*o**4*u - o**3*u - 3*o**2 + 124*o*u + 93*u - 19 wrt o.\nAnswer: -22205352*o*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = -5*x + 11, -i = 1. Suppose 0 = -3*s - 3*n - 69, -n + 17 = -x*s - 20. Let l = 32 + s. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 4*h - 1 - 2 + 4 + 3. Suppose 6 = 4*x + 22. Let t be o(x). Are t and 4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 45*z**3\/2 - 10*z**2 - 2*z - 41. Is d(4) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1432 and 996851?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399429970?\nAnswer: 2, 5, 19, 47, 44729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-294)\/(-98)*51134\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 4)*(-23*l**2 + 14*l**2 - 18*l**2)*(-4*l**2 - 1 + 8*l**2 + 0*l**2) to b + t*l + x*l**4 + g*l**2 + s*l**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 367, 543, 731?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/27)\/((-155491)\/458)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 115 = -n, -3*n = j - 5*j + j + 105 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1570067, 3140174, 4710281?\n\"Answer: 1570107*c - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 25*g - 43 = 77 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v - 30 + 30)*(-7*v - v + 0*v).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677414 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 147*o**2 + 62*o**2 + 68*o**2 - o**3 - 2*o + 1 in the form j*o**2 + f*o**3 + h*o + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8)\/68 - (-592630)\/85?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayyyyyyyvyyvaay. Give prob of sequence vyav.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -342, 2, -3, -23, -14, -2 in ascending order.\nAnswer: -342, -23, -14, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10744392 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 4*p + 44. Suppose -5*a - 3*k + p = 0, 3*k = -a + 7 + 3. Suppose 0*i = j - i - 18, 4*j - 40 = -4*i. Calculate the remainder when a is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*356\/(-801)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-227)\/(-681))\/(1 + (-3)\/(-108)*-37)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 + 17*f - 4. Let u be j(3). What is the third derivative of u*s**4 - 36*s**4 + 18*s**4 + 18*s**2 wrt s?\nAnswer: -384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -1166*n + 1161*n + 7, -2*z + 6 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-10 - -23) - 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -625526*f*v**3*y + f*v**2*y - 365*f*v**2 + 26*f*y**2 - 2*v**3*y**2 - 4*v**3*y + 9*v**2*y - v*y**2 wrt v.\nAnswer: -3753156*f*y - 12*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -11865\nAnswer: -11865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/8)*a**28)**(-45))**23 assuming a is positive.\nAnswer: a**(-228735\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeneeneenneeene. Give prob of picking 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 3. Let d be ((-42)\/35)\/((-2)\/5). Let x(h) = 5*h + 5 - d - 10. Let c(y) = 8*w(y) + 3*x(y). Let q(b) = b. Calculate c(q(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8\/l*l**9*(l\/l**(-6\/5))\/l*l**(-23) assuming l is positive.\nAnswer: l**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180.58 centuries to years.\nAnswer: 18058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*x**3*z**3 + 362*x**3 - 4864*x*z**5 + 1000*z**2 wrt z.\nAnswer: -222*x**3 - 291840*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.049*2\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-9)\/(-15)*-23. Let v = j + -113\/10. Which is the third smallest value? (a) v (b) 1.8 (c) 1 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 96*n + 182*n + 3832 + 17865 = 1125 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 23*y - 7*y)*(-5 + 2 + 4)*(0 + 1 - 2)*(2 - 3 - 1).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -16 + 8. Let f = 11 + -3. Let k be d\/f*0 - 0. Sort -0.5, k, 2\/7.\nAnswer: -0.5, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/583 in -1797, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7831\/14 + -559. Find the common denominator of s and -23\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*y + 1249*y - 626*y + 10.\nAnswer: -3*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/20 + 4 + -3 + 171\/(-36)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20707, -2, 11 in descending order.\nAnswer: 20707, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989 is divided by 337.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/8 + 9807*l\/2 - 39229\/8.\nAnswer: (l - 1)*(l + 39229)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -23*f - 11. Let w be d(-5). Suppose -u - 4*u = 2*n - w, -u + 172 = 4*n. Suppose 0*o - n = -o. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/59870 and 64\/17961.\nAnswer: 179610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 43 = -3. Let u(h) = -h**2 + 7*h - 4. Let k be u(6). Let l(m) = m + 1. Let x(d) = 3*d + 1. What is k*x(n) + p*l(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)*w)**48\/(((((w*w*w**9*w)\/w)\/w)\/w*w*w*w)\/(w**(-19)*w)))**(1\/7) assuming w is positive.\nAnswer: w**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54672501*f**2*g + 207917610*f**2 wrt g?\nAnswer: -54672501*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25536664.\nAnswer: 2, 3192083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-27))\/(4\/48))\/((-770)\/55)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 7*d + 6. Let p be (-50)\/(-8) - 6\/24. Let c be s(p). Factor -3*l**2 - 1 + c*l + 4 - 12*l.\nAnswer: -3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/((-1)\/14*-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-714)\/(-112) + -2 + 3\/(-8). Suppose -5*x - z*u + 5*u = -169, 4*x = -u + 137. What is the remainder when 54 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 5*g. Let k be a(-5). Let r(t) = -t + k - 4 + 2*t. Suppose 0 = -y + 1823*n - 1824*n + 5, -4*y - 20 = -4*n. Calculate r(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8*y + 32 = -3*x, -x + 5*y = 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1553 - 4364535?\nAnswer: -4366421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922736461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (495\/4)\/(-5) - -1 and ((-406)\/(-1160) + 1\/(-10))*3939\/117.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/5 + 4\/10. Find the second derivative of 2*r**3 - r**q + 0*r**3 + 2*r wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 9*b + 12. Find the first derivative of -b*l**3 - 19 - 9*l**4 + 24*l**4 + 3*l**3 wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -55, -57, 3, 131, 333, 615, 983?\n\"Answer: f**3 + 25*f**2 - 84*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7.7. Let b = 1.7 + -1.6. What is the closest to -1 in b, 1\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 3*v**2 + 14*v**2 + (-4*v**2 + 0*v**2 + 2*v**2)*(2 + 5 - 4) as o*v + s + g*v**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1 + r**2 + 5*r - 16*r + 0*r**2. What is the remainder when 3 is divided by z(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*g + 6, -g + 5 = u. Solve -f + 1 = -u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179839 is divided by 66055?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -646\/3 + 209. Let h = 118634\/27 - 4393. Find the common denominator of j and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5065111?\nAnswer: 29, 174659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let d(p) = -1 + 939508*p**2 - 939509*p**2 - 6. Calculate t(d(b)).\nAnswer: 2*b**4 + 28*b**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67227414?\nAnswer: 2, 3, 2657, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1876 + 1891. What is the lowest common multiple of 135 and d?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbm when three letters picked without replacement from {b: 1, a: 1, n: 2, m: 9}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1460 = 2*l + 4*d - 1616, -4617 = -3*l - 5*d. Which is greater: 1543 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*t**3 + 4*j**2*t**2 + j**2 + 4*j*t**2 - 2*j*t - 1772*t wrt t.\nAnswer: -6*j**2*t + 8*j**2 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -8. Let m(i) = i**3 + 1. Let v be m(o). Do v and 5\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 14. Let l be (12\/z)\/((-1)\/5). Let q = l + 18. Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5022 and 1170.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 2*q + 0*q - 4*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 3 + 3)*(-37 + 14 - 24)*(5 - 2 - 4).\nAnswer: 235*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17505?\nAnswer: 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 4*t**2 + t + 7. Let b be z(3). Is -4\/143 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -883, -1769, -2653, -3535, -4415, -5293, -6169?\n\"Answer: q**2 - 889*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + 2*k)*(5*k**2 - 2*k**2 + 2*k**2) + 11 - 11 + 3*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 91*p - 396. Let n = 3 - 3. Suppose 2*i = 2*r + i - 18, -r - 3*i + 2 = n. Calculate the remainder when w(5) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3850)\/294 - 2\/(-21). Let j(o) = o**3 + 12*o**2 - 12*o + 11. Give j(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 11*v**6\/360 + 8*v**3\/3 + 1. Let h(i) be the third derivative of d(i). Let y(z) = 2*z. Determine h(y(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + 463. Let v = 565 - r. What is the least common multiple of 31 and v?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:37 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243512 = -r - 0*r. Let b = 385512 + r. What is b rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -62 - (2\/(-2) - 1). Suppose -2*p + 5*c = -102 - 48, -p + 4*c + 69 = 0. Let w = a + p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (36\/(-90))\/((-2)\/35). Suppose i - z = 28, 5*i + 7*z = 3*z + 104. Let f = -9 + i. What is the highest common divisor of a and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -0.02 (c) 0.04 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*i - 404 - 122, -653 = -5*l + 4*i. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 128*o**3 - 4 + 7 - o + 2*o**4 - 66*o**3 - 60*o**3 in the form v*o**4 + m + p*o + j*o**3 + b*o**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmccm. Give prob of sequence cmc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2558, 2565, 2584, 2621, 2682, 2773?\n\"Answer: f**3 + 2557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 18920832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68*6\/(-56)*(-47)\/141?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + -2. Suppose 5*u - 56 = 49. Let c be ((-20)\/(-35))\/(-2*3\/u). What is the fourth smallest value in l, 0.2, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**0*q*q)*q)**(-2\/65)*q**5*q*q*((q*q*q\/((q*q**(2\/7)*q*q*q*q)\/q))\/q)\/q)\/((q**(1\/8)*q*q\/(q*(q**(-3\/2)\/q)\/q))\/(q**(-1))**1) assuming q is positive.\nAnswer: q**(-6843\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (23 + -27) - -5 - -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/120 - d**4\/36 + d**3\/36 - 7*d - 1. Factor c(w).\nAnswer: w*(w - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**2 + 4*l**2 + 13*l**2 + 1 in the form b*l + t + c*l**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10 - 8\/(-40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 + 68*s**2 + s + 5. Let h(a) = 9*a**3 - 200*a**2 - 3*a - 13. Give 8*b(v) + 3*h(v).\nAnswer: 3*v**3 - 56*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 8}. Give prob of picking 3 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 30*b**3 + b**2 + 6*b - 17. What is the remainder when k(2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 6*p + 350*o = 353*o + 5, 3*p - 9 = -o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1479856 and -81\/154.\nAnswer: 16278416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, g: 9, m: 2, b: 2}. What is prob of picking 2 g and 1 m?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:02 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-one halves of a microsecond?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydf when three letters picked without replacement from {y: 4, f: 1, v: 2, d: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6075.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -306*a**2 - 148*a + 9. Let y(f) = -612*f**2 - 297*f + 16. Let h(p) = 7*k(p) - 4*y(p). What is the second derivative of h(u) wrt u?\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 10*t**2 - 12*t + 19. Give m(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18 - -4)*442\/(-4). Suppose 4000 = 3*h - k. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75.318 - -0.782. Let u = l + -85. Let a = 9 + u. Which is greater: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2263737027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 (base 15) in base 10?\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.7, 7\/3, 0.01, 2.87, -21 in ascending order.\nAnswer: -21, -0.7, 0.01, 2, 7\/3, 2.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) - -3*sqrt(17)))**2*4.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -751? (a) 1\/2 (b) -4\/5 (c) -2\/7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 6:40 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -h. Let a(m) = -5*m + 0*m**2 - 4 - m**h + 5. Let f(o) = -6*o + 27. Let j be f(5). Determine a(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (310800\/175)\/4*2\/24.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and (-168)\/(-24) - (3 - -1)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/3))**(3\/13)*(u\/u**(-1\/3)*u)**(22\/3) assuming u is positive.\nAnswer: u**(1957\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 28*y + 5. Let o(t) = 24*t + 10*t - 4*t + 218 - 212. Let k(z) = 6*b(z) - 5*o(z). Let s(a) = -5*a**2. Give s(k(j)).\nAnswer: -1620*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/y**(-1\/2))\/(y\/((y*y*(y**10*y)\/y)\/y)*(y**(-8)*y)\/y) assuming y is positive.\nAnswer: y**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -241165.143 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305609250?\nAnswer: 2, 5, 11, 223, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.085 + 0.115. Suppose -2*k + 14 = -6. Suppose 3*n - p = 5*n + k, -3*n - 3*p - 18 = 0. Which is the closest to 0? (a) 2\/15 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 38 (b) 1\/2 (c) -601 (d) 2\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-363) - 1460\/(-132)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = b + 838, -2*c - 25*b + 23*b = 416. Let q = 270 + c. What is the greatest common factor of 75 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, g: 11, d: 1, k: 2}. What is prob of sequence bg?\nAnswer: 55\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/9 + 134*c**3\/3 - 1390*c**2\/3 - 2975434*c\/9 = 0 for c.\nAnswer: -139, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 885.7 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(77) - sqrt(77)*1))\/(sqrt(7) + 5*(sqrt(63) - sqrt(7))) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -5\/2, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.25 - 3. Let p = 0.04 - 0.1. Let c = q + p. What is c rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/682 and 55\/28955612.\nAnswer: 318511732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 3\/(-3) + 7. Let j = i + 1. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1167.78 and -24?\nAnswer: 28026.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50556 (base 7) to base 14.\nAnswer: -469d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(35\/2)\/(a\/(a**(-5\/3)*a*a)*a**1) assuming a is positive.\nAnswer: a**(-325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + 2*y**2 + 2*y**2)*(-y**3 - 3*y**3 + 5*y**3 + (2*y**2 - y**2 - 2*y**2)*(-16 + 16 + 3*y)).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6) - 10\/3. Let t be (-1 - o) + -1 + 4. Solve 0 = -b - b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - 16445\/(-391))\/((-2)\/20)\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 9. Let i = c + -6. Solve -g = i*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 34 - 59*h**2)*(0*h - 2*h + 4*h) + (4*h - 2*h - 4*h)*(-h**2 + 4*h**2 - 7*h**2).\nAnswer: -110*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/47? (a) -4 (b) 0.08 (c) -1001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r + 23. Let d(g) = 7 + 4*g + 1 - 10 + 7 + 3. Calculate -17*d(s) + 6*x(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:41 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -295, -117, -6, -221 in decreasing order.\nAnswer: -6, -117, -221, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 23 = 4*i, -3*h - i - 29 = -33 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*i - 60. Let x = 4599 - 4537. What is the greatest common divisor of i and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336 - -225. Let c = -20 - y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 27 - (64 + (-136 - -74))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 603 divide 34175025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-540)\/(-3))\/(-4 + 5). Let d be -1 + -1*v\/(-183). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0.835?\nAnswer: -2.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/12 (b) 0.4 (c) -3 (d) 1259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*c - 55. Suppose 3*s - c - 1 = 0. Let i be 830\/20 - (-3)\/(-2). Calculate the greatest common divisor of i and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 376, 390, 414, 448, 492, 546?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*w = -128, -11 = -r + 3*w + 12. Let u be -2 + 24\/14 + 40\/r. Determine j, given that 4\/7*j + 2\/7*j**4 - u*j**2 + 0*j**3 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (((-40)\/(-12))\/5)\/((-3)\/(-7398))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -5 (c) -15 (d) 0.22 (e) -2\/3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.104 - -4935.104. Let v = n + -4953.592. Let u = 0.092 + v. What is u rounded to 0 decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 5*f**4 - 3*f**4 + (2*f - 3*f + 3*f)*(4*f**3 + f**3 - f**3) - f**3 + 2*f**4 + f**3 to the form v*f + j*f**3 + t*f**2 + u*f**4 + o and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -263 - -276. Let h = 5 - -15. Solve 5 - h = 5*t, -p - i = 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 0, 38, -1, 4, -118, -2 in increasing order.\nAnswer: -118, -2, -1, 0, 4, 29, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-6*(sqrt(13) + 1) + sqrt(26)\/sqrt(2)*-2)*-3)**2 + -5.\nAnswer: 864*sqrt(13) + 7810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 + 102*c**2 - c - 294*c**2 - 3 + 61*c**3 - c + 114*c**2 + 95*c**2 - c**4 wrt c?\nAnswer: -180*c**2 - 24*c + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 903*m**3*y - 19*m**2*y - 2*m*y + m + y - 3 wrt m.\nAnswer: 5418*m*y - 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h = -29*h + 60*h - d + 30, -9*h - 253*d - 84 = -258*d for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -23*f + 4. Let c = 29 + -40. Is i(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -952, 2, -2, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 13*g**2 + g + 4. What is t(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from ccpxfxpz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -38. Suppose 9*k - 8*k - 7 = 0. Let o = q + k. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -4\/3, -20\/67, 0.1?\nAnswer: -20\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3240*m**2 - 18*m**3 - 3240*m**2.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79.72 - 81.72. What is the nearest to -12\/5 in 0.2, 2, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1699*j + 29756 = -24612 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99222 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o - 249 = -699 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1196 + -1186. Solve -y - z = 3*b, 6*b = 4*y + 4*b - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - j)*(2*j**2 + j**3 - j**3 + j**3) + (-3*j**4 + 5*j**4 + 2*j**4)*(4 + 2 + 9).\nAnswer: 59*j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*r**2 + 18289*r**4 - 45*r**2 - 18291*r**4)*(-4 - 9 + 1).\nAnswer: 24*r**4 + 1092*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 15*p**2 - 26*p - 2. Let w be (-56)\/9 + 2\/9. Calculate the smallest common multiple of (-6)\/(-10) - w\/15 and f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 - 3*k - 3. Let t(j) = -3*j**2 - 2*j - 2. Let a(g) = -5*d(g) + 6*t(g). What are the prime factors of a(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2945.32361 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 32*h**3 - 73*h**3 - 41*h**3.\nAnswer: -78*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 44 (b) -0.2 (c) 1\/12 (d) -23 (e) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-70)\/12)*7. Let d be 4\/h - (-16)\/12. List the prime factors of (12\/2)\/(3\/d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37529.12ml to litres.\nAnswer: 37.52912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-1))\/(-1))\/((-5)\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 81 - (-3 - (-11 + 3 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-20) + 46\/10. Suppose 4*l - 3 = -2*u + 1, -2*u - 8 = 0. Solve 0 = -k - s - 1, k + f*s = -2*k + l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 548*j + 0 + 510*j + 5*j**4 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 324\/7 (b) -2801 (c) -3 (d) 0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y + 1. Calculate c(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttgggg. What is prob of sequence ttgt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -3*y - 54, 36*t + 4*y + 67 = 39*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.174994 and 2.4.\nAnswer: -10.0199856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5703625 by 11075.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-4)\/(-2) - (8 - 3). What is the common denominator of 5 - (l - -8) - 0 and 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, 35, -2\/15, 36?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 26 - (-1 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 688*w - 5 - 685*w - 2*w**2)*(w**2 + 4*w**2 - 4*w**2).\nAnswer: -2*w**4 + 3*w**3 - 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 6:56 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = -12. Suppose -4*v - u*k - 28 = 5, -3*v = -k + 28. Let t(g) = -g + 1. Is t(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59917027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 2.1. Let b = 0.86 + -0.9. Let k = 0.96 - b. What is the second smallest value in t, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4660*f**5 + 16816*f**4 - 11328*f**3 - 7360*f**2 + 64*f = 0. Calculate f.\nAnswer: -2\/5, 0, 2\/233, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.0094.\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/42)\/((-242)\/(-726)))\/((-20)\/14)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -4726 + 12052. Let q = -795 - f. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6120, -9, 9.\nAnswer: -9, 9, 6120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -176*a + 16*a**3 + 176*a + (-2*a - 3 + 3)*(-3*a**2 + 4*a**2 - 2*a**2).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109\/6 - 18. Let f(r) be the first derivative of -a*r**6 + 0*r - 2\/5*r**5 + 1\/2*r**2 + 1 + 2\/3*r**3 + 0*r**4. Solve f(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z - 9. List the prime factors of t(-14).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26945130 or 161670785\/6?\nAnswer: 26945130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 5*a = 598. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 450, 645, 820, 975, 1110?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*d - 28, -9 = -2*d - 2*m + 3. Solve -1 + 9 = d*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8284 is divided by 1209?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15932284)\/(-460) - (9\/(-30))\/(6\/(-8)).\nAnswer: 3, 5, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210513232 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/105 + 1\/(-5). Let u be -5*(-6)\/9*42\/(-28). What is the closest to 0.8 in t, -3, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + 19*s + 7. Let t(y) = 2*y**2 + 9*y + 4. Determine -4*r(f) + 7*t(f).\nAnswer: 2*f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-15)\/10)*4. Solve -1 = 5*v - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -3\/4, 0.3, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 30*y**3 - 295*y**2 - 680*y - 355 = 0.\nAnswer: -1, 71\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 4*b + 5*b - 2*b - b.\nAnswer: -2*b + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15025403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -1316 in increasing order.\nAnswer: -1316, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9332013 (base 10) in base 12?\nAnswer: 3160579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*f - 63*f + 4119 = -4*c, 3*c = -5*f - 4118. Which is bigger: -824 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -15*f + 66. Which is the closest to -0.2? (a) f (b) -3 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2737 - -509821\nAnswer: 512558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9.5. Let i = -1.1 + 0.1. Let v = i + 1.2. What is the smallest value in 2, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = 8. Let f(t) = -t**3 + 8*t**2 - 6*t - 2. Let n be f(y). Solve -4*b - n*z = -1 - 4, 5*z = -b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100111110011101111 (base 2) to base 6.\nAnswer: 51331011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 18. Let h(w) = -w**2 - w - 1. Let n(o) = 10*o + 11*o**2 - 6*o**2 - 3400 + 3405. Let j(b) = v*h(b) + n(b). Give j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142077 is divided by 98.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.178 - -4.1. Let c = 0.15 - 0.157. Let h = v - c. Round h to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 852448, 852459, 852484, 852529, 852600, 852703, 852844?\nAnswer: 853029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4680 and 14274?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.25, -2\/197, 43\/4?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*m = -2 - 8, 0 = -y - 4*m - 8. Is (38 + y)*(-1)\/(-2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -8. Suppose -4*g = -3*m - 5*g + z, 20 = 5*m - 5*g. Solve 2 - m = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:51 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -368 (b) -0.1 (c) 4\/5 (d) -0.3 (e) 182\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 5*u + 5. Let t be g(6). Let i be 0*(-1*(-7)\/(-14))\/(-2). Which is the closest to t? (a) -3 (b) -0.12 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h - 3 = 44*h - 3*k, 2*h + 4*k = 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -156. Suppose -8*r = -b - 665. Calculate the highest common divisor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50, -58, -50, -20, 38, 130?\n\"Answer: y**3 + 2*y**2 - 21*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.0755961602 minus 0.4?\nAnswer: -343.4755961602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 12*c**2 + 6*c - 33. Let w be i(-12). Let q = w + 482. What are the prime factors of q?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/43)*(z\/(((z**4*z)\/z)\/z))\/z)\/(z**(-18)*z**(-13\/2)))**(-19\/6) assuming z is positive.\nAnswer: z**(-11685\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16, 1.7, 1\/6?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5628154 is divided by 242.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, q: 3}. What is prob of picking 2 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 13212.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -65. Let y be 48\/12 + -2*2. Suppose y*g + 3*g - u = 0. Calculate the smallest common multiple of g and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6)\/(-224 + 27632\/132).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 409 - 390. Calculate the greatest common factor of 323 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3825 and 248880.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (-60 - (4 - 64))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37370555 divided by 7474111.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 - 3*i - 3. What is the units digit of m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/360 + n**4\/6 - 4*n**2. Let u(f) be the second derivative of w(f). Let q(i) = -5*i**2. Give u(q(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11220 = 14*a + 20*a. Let m(z) = z**3 + 7*z**2 - 9*z - 5. Let o be m(-8). Suppose -150 = -o*i - 2*i. What is the greatest common divisor of a and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l*l**4*l)**(2\/7)*(l\/l**(-5\/4))\/((l\/(l*l*l**(-4\/9)*l*l*l))\/l)*l**2\/l**2 assuming l is positive.\nAnswer: l**(1931\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/680 + (-4)\/(-34))*(-10540)\/154938?\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 13*c - 10. What is the smallest common multiple of 8 and h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -3*c, 6 = -4*b + 3*c + 15. Calculate the remainder when 10 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, -3\/5, -82, -0.044, -4\/3, -7, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/2 - 46123*f**2 - 1291233*f\/2 + 691740 = 0 for f.\nAnswer: -92232, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -30811 less than or equal to -35531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 3*x + 3. Let p = 123 + -120. Let j(h) = 9*h**2 - 7*h + 7. Let v(t) = p*j(t) - 7*q(t). Let z(o) = -13*o**2. Calculate z(v(r)).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0 + i + 8 - 8. Let n(x) = -11*x**2. Determine c(n(z)).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let p(i) = 2*i**2 + 71*i - 8. Let h(l) = l**2 + 70*l - 6. Let q(t) = 4*h(t) - 3*p(t). Determine q(r(o)).\nAnswer: -8*o**4 - 134*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 (base 10) in base 12?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 1 + 2)*(0 + 0 + 2*a) - 3*a + 4*a - 3*a - 2*a + 0*a + 0*a)*(-97 - 137 + 1049)*(-5*a + 0*a + 3*a) as v*a + x*a**2 + z and give x.\nAnswer: 13040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462129 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 7*(-4365)\/(-315).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -15351658.\nAnswer: 1\/2193094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -68*c**2 + 8*c**3 - 256 + 704\/3*c - 1\/3*c**4 = 0.\nAnswer: 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 3.3. Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 3*r + 2*r - 25, 3*q + 15 = 3*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*z + 3 + 105*z - 3 to the form m*z + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 11*c + 6 = 0. Calculate the remainder when 52\/12 + (3\/9)\/(-1) is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - u)*(0 - u**3 + 0) + 138*u - 195*u**4 + 191*u**4 + 161*u.\nAnswer: -3*u**4 + 299*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/20 and 75\/776.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -43. Let w = r - 29. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -14?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 30, 2*x + 81*o - 88*o = -42 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**5\/z*z)*z*z*z*z*z**(-6)*z*z**0*z**(-1\/10)*z assuming z is positive.\nAnswer: z**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131 - 91638\/(-702))*2392\/12?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30184, -30186, -30188, -30190?\nAnswer: -30192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 17*s**2 + 5*s + 17. Let b be f(17). Suppose -3*j + b = 3*k - 0*k, 2*j - 83 = 3*k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8\/36 - -1*(-518)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2 + (0 - 1 + 0)*(2 + 2 + 2) + 2 + 0 - 1 + 0 + 4 - 6 + (3 - 4 + 2)*(-5 + 1 + 5))*(13*b**2 - b**2 + 29*b**2)*(26 - 26 + 18*b).\nAnswer: -5166*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43.055 - 0.055. Let k = -42.99999905 + t. What is k rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/105371, -6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 12. Let u be j(-6). Let i be (5\/15)\/(5\/u). Let o = -1\/30 + 1\/5. What is the second smallest value in i, 2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.401 - 0.001. Let b = w - 7.3. Let v be 1*3 + 1\/(18\/(-42)). Put b, v, 0.12 in ascending order.\nAnswer: b, 0.12, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 1213*w**6\/120 + 811*w**5\/60 + w**4\/12 - 42*w**2 - 24. What is the third derivative of j(i) wrt i?\nAnswer: 7278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-1\/11)\/h*h)*(h\/(h\/(((h*h**21*h)\/h)\/h)))\/h*h*h*(h\/h**(-9))**(-7\/10) assuming h is positive.\nAnswer: h**(177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**2 - k**2 - 2*k**2)*((4 - 3 - 2)*(-k - k + 3*k) - 7*k - 3*k + 3*k) as d*k + c*k**2 + r + f*k**3 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8780 or 8787?\nAnswer: 8780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -67801327.\nAnswer: -67801327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 173 + 3\/2*f**2 + f + 1\/3*f**3. Determine x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c**4 - c - 111*c**3 + 8*c**4 + 51*c**3 - 2*c**2 + 61*c**3 to p*c**2 + b*c**4 + m + u*c + i*c**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*d**2 - 371*d**2 - 114*d**2.\nAnswer: -617*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(36)\/sqrt(54)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3255 and 1302?\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/(-2))\/7 - -1*3. Suppose -42*z + 41 = -421. Which is the biggest value? (a) z (b) r (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.34 (b) -32\/5 (c) -2\/9 (d) -5 (e) 360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a**2 + 127*a. Let d(w) = -7*w**2 + 126*w. Determine 6*d(c) - 5*m(c).\nAnswer: -2*c**2 + 121*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) -5 (c) 4\/17 (d) 90 (e) -1\/2 (f) -2.4 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 2 + 2. Let q(o) be the second derivative of -o**4\/12 + 14*o. What is f(q(b))?\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28099 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:54 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:20 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/7*r**2 - 4533\/7*r + 0 = 0. What is r?\nAnswer: 0, 1511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(136) - (sqrt(136) - (sqrt(136) - (sqrt(136) - -2*sqrt(136)*-1))))\/(sqrt(40)\/sqrt(5)*-4).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 3*k - 4*k - 2*k - 5. Let t be a(7). Suppose 4*h + 2480004 = t*p, -p + 2479997 = p + 3*h. What is p rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388733299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7589161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q + 4. Let x(s) = -14*s - 12. What is 11*t(b) + 4*x(b)?\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197876*q*t**2 - 8*q*t - 3390*q + t**3 - 2*t - 2 wrt t?\nAnswer: -395752*q + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 6\/5 (c) 2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/4)\/(-3 + 2). Let o(g) = g. Let y be o(5). Let t be 6\/15 + (-1 - -1). What is the closest to t in -2, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1722, 5, 4, -7, 0 in decreasing order.\nAnswer: 5, 4, 1, 0, -7, -1722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 5 (c) 3\/4 (d) 1\/2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22364478655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {p: 1, z: 1, q: 1, i: 4, n: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - -1.0817\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 270*m + 1082. Let k be n(-4). Solve 5*b + 5*l - 40 = 0, 0*l + 19 = 3*b + k*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 - -12.8. Let p = 16 - r. Let i = -31601 - -31599. Which is the smallest value? (a) -2\/15 (b) -4 (c) p (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.375219 litres in millilitres?\nAnswer: 5375.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 106. Solve s*r + 4*n = 4, -r = 2*n + n - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1*-14*(-8)\/336. Which is the closest to -2\/3? (a) s (b) -4 (c) -3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(0 + 1). Suppose -k + 6 - 2 = 0, -5*v + 13 = -3*k. Which is the second biggest value? (a) -6 (b) v (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4254*d**6 + 16*d**3 + 6*d**2 + 159*d + 4?\nAnswer: 510480*d**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*u = 305*u - 6. What is the second smallest value in -0.183, 0.4, -2\/7, u?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*i, 0*i = -3*i - 3*u - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccv when three letters picked without replacement from {c: 2, v: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 17*c**2 - 16*c + 21. Let q be m(16). Let d = 49 + -28. Calculate the highest common factor of d and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -24*s + 25. Let f(y) = -2*y + 1. Let h(q) = -4*f(q) + u(q). Suppose 0 = -3*o + 2*o + 2. Let b(p) = -3*p + 4. Calculate o*h(d) - 11*b(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 925468455*a**3.\nAnswer: 5*a**3*(a + 185093691)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*n**5 - 55*n.\nAnswer: -5780*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 101787 = d, 5*o - 44088 = -5*d + 125577. Is 174 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -y + 4*t, 2*y + 2542*t + 12 = 2538*t for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/75726 and 103\/58898?\nAnswer: 530082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82365.93ml in litres?\nAnswer: 82.36593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 439 = 416. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -190.12 and 0.3?\nAnswer: -57.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -41 (b) 0 (c) 24 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45985576 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 126 = 0. Suppose 4*k + b - 96 = 3*b, -4*b + 16 = 0. Let v = k - -2. Calculate the greatest common factor of m and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 256, 516, 772, 1024, 1272, 1516, 1756?\n\"Answer: -2*d**2 + 266*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 407 divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172963635*u**2 - 464669833*u.\nAnswer: 345927270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74588\/62601 + -3\/2981. Find the common denominator of (-2056)\/(-660) - 6\/10 and o.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Suppose 0 = 3*s - v*s - 3. Is s smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3972 - -1874. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768070?\nAnswer: 2, 5, 89, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 - 109 = 16*x. Calculate the greatest common factor of x and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + -1001?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2049, 2045, 2039, 2031, 2021, 2009?\n\"Answer: -b**2 - b + 2051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m = -5*z + 48, 2*m + 20 = 2*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 36, -72*w + 71*w - 23 = 3*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khu when three letters picked without replacement from {s: 7, f: 1, k: 4, u: 4, l: 1, h: 2}?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/9, 1\/9, -6 in ascending order.\nAnswer: -6, -3, -2\/9, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512*v = -317*v - 74197 + 7068 + 1404 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(2) + sqrt(2))**2 + -2) + sqrt(2) + (sqrt(150)\/sqrt(3))**2 + 1.\nAnswer: sqrt(2) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-3 + 3 + 2)*(-3 + 3 + 7*z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332 a factor of 2286507576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1211 divide 22015323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxn when three letters picked without replacement from xxxxxqxxxxnqxnxnqxx.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - (0 - 2) - (-34 + 39)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -995 - -452. Let w = o - -5967\/11. Sort 0.07, w, -1, 0.4 in descending order.\nAnswer: 0.4, 0.07, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c = s - 3*s - 21*c - 61, 192*s - 2*c - 814 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080739 to 5 decimal places.\nAnswer: -0.00807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -528 - -1579\/3. What is the second smallest value in f, 2\/3, 11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + 2 - (-16 + 24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 8:04 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d**2 + 1010*d**2 - 508*d**2 + 1242*d**2.\nAnswer: 1781*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 7 - 0 - (-4 + 7) - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 7. Let w be s(-9). Let r be (2\/4)\/((-4)\/w). Let z(y) = -4*y - 14. Let l be z(-3). Is r less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162)*3 + 5)**2.\nAnswer: 216*sqrt(2) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/3 or -17046?\nAnswer: -17046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:39 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - -2) - (-2 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 3) to base 7\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 806?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -3\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 34\/11 (c) 160 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 25 = -7*k. Let x be -2 + k - (1 - 1). Factor -z + 3*z - z**3 - 2*z + 1 - x*z + 3*z**2.\nAnswer: -(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38050*g**3 + 2*g - 25135?\nAnswer: -114150*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503500058?\nAnswer: 2, 3, 19, 4396199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 - 54*r**2 + 2*r + 37 wrt r?\nAnswer: 12*r**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 344 and 345 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by -7\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118260 is divided by 763?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16135, -64512, -145139, -258016, -403143, -580520, -790147?\n\"Answer: -16125*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267 + 430. What are the prime factors of i?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -17. Let l(z) = 4*z - 5*z + j*z. Let a(i) be the first derivative of -3*i**3 - 1. What is l(a(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 4*v + 7. Let z be d(-2). Let g(n) = 121*n**3 + 6*n**2 - 4. Is g(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12000.7998 to the nearest one hundred.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/12)\/(((-16)\/7)\/(48\/(-56))).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*d = -92*d + 33642. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14182, -56580, -127244, -226174, -353370?\n\"Answer: -14133*u**2 + u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325 by 65.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let x(d) = -2*d**3 - 11*d**2 - 10*d - 99. Let h be x(-6). Put h, 1, o, 10 in descending order.\nAnswer: 10, o, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 16*z + 16. Suppose -5*n = -z*m - 71, -n + 4*m = -0*n - 27. Suppose -f = -t + 3*f + 8, 2*t - 3*f = n. Solve t*o = -6 - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1101 - 19080 = 4*w + 3*h, -2*h - 10088 = 2*w. Round w to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48229512 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51625.3 days in microseconds?\nAnswer: 4460425920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1865, -8574, -20165, -36644, -58017?\nAnswer: -84290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(270)\/(sqrt(294)*5))\/(-2*(3*sqrt(270)\/sqrt(5))\/sqrt(6)).\nAnswer: sqrt(5)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*o + 3888 = 1328 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1155 - -1?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 1634 + 8*q - 3261 + 30*q + 1627.\nAnswer: -2*q**2 + 38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 238 = -u. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 90*l**3 - 4*l - 95*l**3 + 5*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8274 divided by -2758\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 5*x**2 + 2*x - 5. Let s be q(-4). Suppose s = -2*k - 1. Let m = 4 + k. Is 1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-122)\/(-63) + (-24264)\/509544?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42617869.\nAnswer: 7, 2131, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(9*g + 16 - 16).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + -1 - 7)\/(-3). Let x = -54 + 50. Which is the nearest to k? (a) x (b) 0.3 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -66. Let i = c + -36. Let p be (3 - 2)\/(i\/35). Solve 2 = p*s + 3*x + x, -3*s + 4 = x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-3 + 6 - 2)*(3 + 0 - 2)*(-15 + 15 + 52*h**2) - 6*h**2 + 3*h**2 + 0*h**2 + h**2 - 6*h**2 + 4*h**2 + (h**2 + 1 - 1)*(1 - 2 - 1).\nAnswer: -58*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 54. What is the remainder when 118 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 7:11 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 9) to base 8\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04545 and 811.\nAnswer: -36.85995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 36.53798 tonnes?\nAnswer: 36537980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92363 is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by 120286?\nAnswer: 131\/120286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*u**3 + 6*u**2 - 61*u**3 - 2 + 122*u**3)*(-4 + 6 + 0)*(u + 0*u - 2*u).\nAnswer: 6*u**4 - 12*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 - 59*v - 81. Give y(-9).\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 184, 278, 374?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3289 divided by 23?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207 and 8?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:42 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4364, 4428, 4492, 4556?\n\"Answer: 64*y + 4300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**2 + 3 + 13*l**2 - 5 to the form m + y*l + s*l**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1228 + -1224. Let a = 110 + -104. Solve -f*z - a*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -17973?\nAnswer: 1797.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*q - 4, 3*d - 7 + 1 = 0. Find the first derivative of -578*h**2 + 13*h**4 - 5*h**4 - h**3 + 578*h**q + 83 wrt h.\nAnswer: 32*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -339 from -6184196.\nAnswer: -6183857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 21. Let a = d + 0. Which is smaller: 0.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5427, 5829, 6207, 6549, 6843, 7077, 7239, 7317?\nAnswer: 7299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22460, -42724, -60792, -76664, -90340, -101820?\n\"Answer: 1098*k**2 - 23558*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67116901 and 745?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 31. Let i be 2\/10 + 45\/a. Suppose 4*s + 5*h - 174 - 4 = 0, -4*h - 76 = -i*s. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-243)\/(-18)) + (-2)\/(-6). Let q be (-5 - g)\/(3 + (-348)\/64). Solve -2\/13*b**2 + 16\/13*b - q = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525, -1358, -2397, -3744, -5501, -7770, -10653, -14252?\nAnswer: -18669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 17*v - 25*v = -82, 8*s - 3*s + 5*v = 104 - 34 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 39 = 9. Let d = -16 + 20. Let b(n) = -3 - d*n**2 + 0*n**3 - 19*n + n**3 + 22*n. Give b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3405977 to 2 decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 - 4061*u + 8126 = 0 for u.\nAnswer: -4063, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 46, 138, 308, 580?\n\"Answer: 4*w**3 + 3*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, h: 2, k: 2}. Give prob of sequence kr.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.9891663 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53.1 - -53. Let k = 1 + 2. Let w = 145\/612 - -2\/153. What is the nearest to z in k, -5\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 24. Let n be h(10). Let d = n + 28. What is the third biggest value in d, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5 + 284*r**4 - 2406*r**3 - 856*r**2 + 6632*r + 4800 = 0. Calculate r.\nAnswer: -150, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/216 - -1*86\/18. Suppose k*g + 51 = 71. Suppose 3*q - 8 = -2. Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -0.014?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(10\/3)*m*m\/(m\/(m**12*m)))**(-3\/11) assuming m is positive.\nAnswer: m**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/15)*p)\/(p\/p**38)*(p\/(p*p*p**36*p))**18)**(-5\/7) assuming p is positive.\nAnswer: p**(9689\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n**3 + 2*n - 9. Let o(r) = -5*r**3 - r + 5. Calculate 4*l(h) + 7*o(h).\nAnswer: h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z**2 - 17 + 21 - 9 + 11*z**2.\nAnswer: -14*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 388844619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from hmyeheyteeuyeet?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllqqlyyqlllyqqlqqyl. Give prob of sequence qqql.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230 + 230. Solve t*a = 4*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - i - 2 - 16*i to v + k*i and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11000*p + 5502*p + 5491*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1122 = -3*d + 5949. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 336.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13297, -26608, -39933, -53278, -66649, -80052, -93493?\n\"Answer: -v**3 - v**2 - 13301*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 178*(-11 + 618\/56) and -23\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-24))\/(1*(-2)\/8).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2752.\nAnswer: -5504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4234 and 120158.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 563241741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-seven halves of a hour?\nAnswer: 2310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -2*v**3\/57 - 2*v**2\/19 + 6*v\/19 - 9. Factor n(o).\nAnswer: -2*(o - 1)*(o + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 - 256 + 980 - 448*j + 36*j**2 - 264 = 0. Calculate j.\nAnswer: 4\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 5*z + 2. Let n = -105 - -60. Let v be (-2)\/(12\/n)*-6. Let i be -10*(-6)\/v*-3. Calculate a(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.4. What is the third biggest value in n, 1, 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255100620 rounded to the nearest 1000000?\nAnswer: 255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 - -150. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3970167.\nAnswer: 3, 1323389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.0965 - 987?\nAnswer: -959.9035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 6*i + 13 - 541*i**3 - 20.\nAnswer: -541*i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 876 = -32*k. Differentiate k + 7*z**2 + z**2 - 207 wrt z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000031772169 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*m + 5*f - 12, -14*f = -13*f - 4*f - 9 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 685 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebl when three letters picked without replacement from {b: 2, x: 2, l: 1, s: 3, e: 2, m: 4}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + 105. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14638, -14816, -14996, -15178, -15362?\n\"Answer: -f**2 - 175*f - 14462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169548 and 852?\nAnswer: 169548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + -3 + sqrt(1008) + -4 - (-4 + -2*sqrt(1008) + sqrt(1008)*-2 + -3)) + -2))**2.\nAnswer: -120*sqrt(7) + 25201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 10:51 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) -4 (b) 2 (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-4 - -4)\/(11 + -12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w + 10 = 0. Let z(g) = -4*g + 4. Let c be z(w). Let l = c + -73\/3. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -20 (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 6, 1, -7 in descending order.\nAnswer: 6, 1, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 1.9. Let k = -5 + f. Let x be (-10)\/18*(-1)\/5. Which is the third biggest value? (a) x (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 + 12 = 0. Suppose -k*b + 1089 = 7*b. Let z = 59 - b. Is -1\/3 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5534 + -5543.224. Round o to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -10*s**3 + s**2 - 1. What is the tens digit of m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 517 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 5*k - 481*k**2 + k.\nAnswer: -481*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12111322 (b) 1\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53993301 plus -3.21795?\nAnswer: -53993304.21795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + y + 22, -3*s + 11*y + 13 = 12*y. Solve -4*k + s*z + 35 = -5, -k - z + 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5*h + 4740 = 4686, -4*s = -h + 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u - 21*u - 793 = 0. Calculate the highest common factor of 247 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(34\/68).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195193349 or 195193348?\nAnswer: 195193348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.37 plus 4555486?\nAnswer: 4555539.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + d = 29, 5*d - 3 = -2*a + 70. Suppose -10*u - a = -14*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156538?\nAnswer: 2, 23, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284867389?\nAnswer: 43, 73, 151, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 571144.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1*(32\/(-12) - -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of (2 + (-7 - -2793))*21\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 40632*v + 412739856.\nAnswer: (v + 20316)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1825341 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 4*t - 13)*(-8*t**2 + 0*t**2 + 2*t**2) - 84*t + 11*t**3 + 84*t + t**3 + 2*t**3 - 5*t**3 + (3 - 3 - 2*t**2)*(0 + t + 0) + t**3 + 0 + 0.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 243 = 5*d + 735, 4*d + 3*f = -778. Find the common denominator of 7\/258 and d\/6*2\/16.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.174 - 0.162. Round z to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 23 - 15 = 3*i, 0 = -5*b - 3*i + 118. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {p: 3, x: 1, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.02, 0, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000247388 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4403\/(-555))\/(-119))\/(4\/(-40))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:20 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6546582 is divided by 3939.\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a**3 + 7*a**2 + 5. Let n(b) = b**3 - b - 1. Calculate 5*n(j) + t(j).\nAnswer: -3*j**3 + 7*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2294084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 + 9*p - 3. Let w be ((-1)\/2)\/((-2)\/28). Let s be x(w). Let r = s + 64. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 2*y**3 - 1\/4*y**5 + 5\/4*y**4 + 0*y + 0.\nAnswer: -y**2*(y - 2)**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 25392500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (14 - 6) - (-1 + 2)) + 3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - 2*a**3 + 3*a)*(-22 + 21*a - 39*a + 15*a) as z*a**2 + d*a**4 + v + l*a + q*a**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3175*x**2 + 12700*x - 9. What is l(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 36 = -5*d, -9 = -4*d - 4*p + 27. Let h(z) = 43*z**3 + 3*z**2 + 11*z - 13. Is h(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rddb when four letters picked without replacement from {r: 3, b: 2, j: 1, a: 1, d: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525192309 by -3.\nAnswer: -175064103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 + -270. Calculate the common denominator of 2\/25*(8 + r) and -17\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -26908 + 13439 + 13451 - 5*h. Calculate p(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 > 32763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.2 (b) -1 (c) -0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 31.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 17 = 18. Let u = -5 - z. Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18225 + -18224.91. Let i = 11 + -11.2. Which is the closest to -1\/3? (a) -3 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -286, 1, 9, -8 in increasing order.\nAnswer: -286, -8, 1, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnaiaffifnraiaiaai. What is prob of sequence fif?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1206 + 1749 - 8*n + 6*n.\nAnswer: -2*n + 543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1011, -2122, -3235, -4350, -5467, -6586, -7707?\nAnswer: -8830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/5, -1\/7, -2\/11 in increasing order.\nAnswer: -2\/11, -1\/7, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4146 and 134504532.\nAnswer: 134504532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 2. Let m be (8\/12)\/((-2)\/(-6)). Is (m - (-2 - b)) + 21 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-1 - 5518\/(-4)) + 21\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 18*a - 8*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*d + 32*d - 102 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 14 + -13 + 2 + -7 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2. Suppose -2*l + 22 = -5*l - h, 34 = -l + 5*h. Let p(g) = 10*g**2 - 9*g. Let u(c) = 5*c**2 - 4*c. Let w(q) = l*u(q) + 4*p(q). What is v(w(m))?\nAnswer: -75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 2*w**2 + 2*w. Let x(c) = 4*c**2 + 4*c - 5. Let s(z) = -3*z**2 - 3*z + 4. Let r(k) = 5*s(k) + 4*x(k). Give -o(a) + 2*r(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.043 and -10.07508.\nAnswer: -10.11808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 21. Let o = x + 2. Solve -o = u + 2*h + 3, -20 = -5*u + 5*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(121)*-6 - sqrt(121)) + (sqrt(121) - 1*sqrt(121)*-6))\/(sqrt(66)\/((sqrt(240)\/sqrt(4))\/sqrt(10) + sqrt(6))) + 0)**2 + -1.\nAnswer: 14255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -61*f**3 + 6*f**2 + 4*f - 33. Calculate j(3).\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*sqrt(396) - sqrt(396) - sqrt(396)))**2 - 6*(1 + sqrt(176))**2.\nAnswer: 12*sqrt(11) + 8839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6799*z - 106431 + 412386 = 0 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6384\/(-342)*(-288)\/(-112)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + v)*(-281*v**2 + 48*v**2 + 114*v**2)*(-1 + 3 + 0).\nAnswer: -476*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 3*n - 14, -10*r + 4 = -5*r + 3*n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 19928318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17 - 13\/(-52)*0. Solve -r*y = 14 + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458025 to the power of 1\/2, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-10) + ((-186)\/15 - -12). Is 0.004 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b. Let h(q) = 7*q + 94. Let u be h(-11). Let j(k) = 105 + 102 - u*k - 206. Calculate j(d(l)).\nAnswer: 51*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 6. Let a = -3 + 7. Let v be a\/(-16) + 1\/4. List the prime factors of x(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*x + 12 = -55*x - 2*i - 2, 0 = -5*x - 5*i + 35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*i - 20076, -33*q + 5*i + 12036 = -30*q. Is q at most as big as 4018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/121044 and -131\/1428?\nAnswer: 2057748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1693 - -7?\nAnswer: 169a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -5, 39, 0.2, -5.47, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(18 + -11 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.902504 grams in kilograms?\nAnswer: 0.009902504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 1.3. Let i = -58 - -58.3. Let l = 126 + -1388\/11. What is the closest to -0.1 in i, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*w - 4*i - 0, -5*w - i = -5. Suppose w*k = k - u + 5, u = 0. Suppose 18*o - 78*o = -1200. Calculate the highest common factor of k and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h - 24. Let q = -5 - h. What is the remainder when 6 - q - -1*9 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5045*y**2 - 1748*y**2 - 1673*y**2 - 1556*y**2.\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*x - 2*x. Let t = 12 - x. Let g = 17 + 1. What is the greatest common factor of g and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:10 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2 = 5*a + 4, 0 = 3*x - 4*a - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-4 - -5) + 5 - 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4326141736 - -0.86\nAnswer: -4326141735.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a factor of 2030899052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x = -u - 3, -2*x - 7 = 5*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 828 divided by -69\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s - 30 + 82. Put 5, 1, -2, s in increasing order.\nAnswer: -2, 1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h + 376 = -35*h. Which is the nearest to 0.1? (a) -0.9 (b) h (c) -3\/2 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 1. Let c(u) = -12*u - 16. Determine -c(k) + 8*d(k).\nAnswer: -4*k + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 858, 1717, 2602, 3513, 4450, 5413, 6402?\n\"Answer: 13*r**2 + 820*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0577284 rounded to 4 decimal places?\nAnswer: 0.0577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hphh when four letters picked without replacement from {h: 6, z: 1, p: 2, s: 2, o: 6}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*u + 2*v - 56, 3*v - 20 = -u. Let m = -116\/7 + u. Let j = 0.048 + 1.952. Which is the second smallest value? (a) m (b) j (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 47\/12*b**4 + 0 + 0*b**2 + 67*b + 24*b**3. Find the second derivative of w(p) wrt p.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1023*i**4 + 23*i**2 - 8*i?\nAnswer: 24552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -39242*n. Let o(z) = z. Give o(c(t)).\nAnswer: -39242*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -50317 bigger than -50313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9011 - 1971. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 15*a + 29. Let x be f(-13). Is ((-1)\/x)\/((-7)\/3717) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (303 + -301)\/(-2 - (-2971)\/1485) and 22?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**3\/6 - o**2\/2 + 8278*o. Let y(n) = 7*n + 6. Let k be (-21)\/(-6)*8\/7. What is k*i(s) + y(s)?\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {f: 11, w: 9}.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*s - 4*a - 41, -173 = 9*s - 5*a. Put -0.2, 1\/6, -0.1, s in descending order.\nAnswer: 1\/6, -0.1, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + 6*(2*(3 + 3*(sqrt(175) - (-1 + sqrt(175)))))**2.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -39. Suppose -400*d**2 + 396*d**w + d + 4 - d = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(45\/(-20))\/9*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by -2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(12\/42 + (-33)\/42). Factor -2\/7*l**3 - 24\/7*l + 16\/7 + 12\/7*l**v.\nAnswer: -2*(l - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/45 - 29\/9. Let i be 1\/(n\/12*-2). List the prime factors of i - 0 - (-25 + -10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 39. Let h = -37 + i. What are the prime factors of (10\/(-15))\/(1*1\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -429 - -432. Factor -17*t**4 - 4*t**4 - 12*t**2 - 23*t**4 + 54*t**3 - 10*t**3 + 12*t**u.\nAnswer: -4*t**2*(t - 1)*(11*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/38 + -159\/266. What is the smallest value in -4\/17, p, 1.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146189557*w**3*y + 948*y + 1280 with respect to w.\nAnswer: 438568671*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16238749 or 16238739?\nAnswer: 16238749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 253609 less than -4?\nAnswer: -253613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 7244*s - 36272. Determine y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 21. Suppose -y - z = 3*y. Which is smaller: -8 or y?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*8\/28*(-16)\/32.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 22.25. Let q = d + 1.1. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -3.6. Let f = 265.5 + -128. Let r = -138 + f. What is the third smallest value in r, -5\/6, -5, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3*f. Let h(r) = 2*r - 4*r - r + 11 + 2*r. Let w be ((-3)\/1)\/((-6)\/28). Let g be h(w). Determine l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2896 by 5.\nAnswer: -2896\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 4*q + 14. Let i be f(6). Find the common denominator of 237\/(-30) + 2\/i and (2\/(-18))\/(1\/(-41)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 246*h**3\/5 + 6281847*h**2\/5 + 8020627776*h - 1467196416\/5.\nAnswer: 3*(h + 12768)**2*(82*h - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 5, i: 3, m: 3}. What is prob of sequence in?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + m - 208 + 184 = 0, -6*h + 5*m - 27 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*v + 379*v = 4*h - 13, -5*h + 12 = -3*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/838554 and 87\/214.\nAnswer: 89725278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*g*k**3 - 14*g*k - g wrt k.\nAnswer: -186*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-28)\/126)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -3. Let b = -175 - -178.9. Let a = b - k. Put a, -2\/3, 0.1 in increasing order.\nAnswer: -2\/3, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 - 327?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 - 13 = -3*k, 3*k + n = 9. Suppose -7*x - k = -6*x, 3*j = -3*x + 3. Solve -4*l = 1 + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, u: 8, f: 2}. What is prob of picking 1 u and 2 f?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 189*w + 2415. Determine i(-201).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -25 - 9. Find the common denominator of 55\/16 and (x\/85)\/(4\/(-111)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 20\/8)*(-16 + 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 79*v**3 - 9*v + 1 + 906*v**2 + 3*v**3 - 903*v**2. Is u(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.2. Let w = -531.40554 + 0.00554. Let p = 531 + w. Which is the closest to p? (a) -0.4 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + (1 - -7))\/(6 + -12 + 10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (136*y - 136*y + 61*y**2)*(-y**2 - y + y) to x*y + s*y**4 + b*y**2 + w + v*y**3 and give s.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 - r**5 + 6*r**5 + (0*r + 4*r - 2*r)*(-2*r**4 - 2*r**4 + 2*r**4) + r**5 - r**5 - 11*r**5.\nAnswer: -14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1010 + -1007. What is the smallest value in c, -72, 1?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2133, -737, -3609, -6483, -9359, -12237?\nAnswer: -15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1416008 + 6.1\nAnswer: 1416014.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**15*m*m**(-30)*m**(2\/105)\/(m\/(m*m*((m*m**11)\/m)\/m)) assuming m is positive.\nAnswer: m**(-313\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {k: 4, i: 1, f: 2, w: 3, c: 2, b: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9410*c**4 - 2*c**2*y**3 + 5*c*y**3 - 5*c*y**2 - 551*c*y - 2*y**3 wrt c?\nAnswer: -112920*c**2 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 13. Suppose -2*h = -2*m - j, -17 = -3*h - 5*m + 40. What is the greatest common divisor of 60 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/18 and -5\/3062.\nAnswer: 27558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3557 + 3553. Let v = 7013\/19 - 369. Which is the third smallest value? (a) l (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385 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: Solve 3 = q, w - 230 = w - 17*w - 4*w + q - 2 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-5) - 4\/10. Suppose m - 2*l - 12 = -m, -2*m = -c*l - 18. Suppose m*z - 5*z = -5*s - 55, -52 = -2*z + 2*s. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 8*x - 3. Let t be d(7). Suppose 0 = 3*r - t*g - 67 + 22, -4*g = -5*r + 67. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**4 - 4*u**4 - 3*u**4 + (0*u + 0*u + 2*u**3)*(-u + 3 - 3) - 4*u**4 - u**4 + 4*u**4 + 3*u**2 - 3*u**2 - 2*u**4)*(7*u - 3*u - 2*u).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 151*c + 148. What is the hundreds digit of r(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -49*x**2 - 10*x - 2. Let u(i) = 98*i**2 + 23*i + 5. What is 5*g(q) + 2*u(q)?\nAnswer: -49*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:57 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.058183*-5.\nAnswer: -0.290915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 12*l**2 - l - 2. What is g(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3182 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 2. Let y(o) = -9*o - 1. Let a(r) = 6*m(r) - 5*y(r). Let d(t) = 3*t + 2. Calculate 4*a(u) + 14*d(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6796921 and 3585?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11528 - 11526.9309. Let f = k - 0.0691. Which is the closest to f? (a) -10\/3 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90931.8 * -0.21\nAnswer: 19095.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 6*a**2 - 13*a + 29. What is the remainder when 377 is divided by r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81 + 177?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h + 128*h + 33 = 61*h. Which is the third smallest value? (a) -0.3 (b) 0.091 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16414160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2725 + 95329\/35. Let s = -5\/7 - w. Let h be ((-2)\/5)\/((-2)\/10). Which is greater: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g. Let b be 2 + 2 + 1 + -2. Is 3 a factor of o(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*l - 2*l + 5, 4*l - 3*r - 6 = 0. Is l*(-2)\/(-6) - -3802 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/39522 and 79\/13174.\nAnswer: 39522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**5 - w**4 - w**3 + w. Let l(a) = -2*a**4 - 2*a**3 + 9*a. Let u(s) = 4*b(s) - 2*l(s). What is the second derivative of u(q) wrt q?\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -5, -14, -39, -86, -161, -270, -419?\n\"Answer: -i**3 + i**2 + 5*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.094 - 1.206. What is the fifth smallest value in -3, 3\/2, 2, 0, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i**4 - 232344*i**3 + 4745940*i**2 - 1861200*i = 0. What is i?\nAnswer: -15510, 0, 2\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**3 - 260*p**2 - 176*p + 5120 = 0.\nAnswer: -64, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -20, -24, -28, -32?\n\"Answer: -4*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322412320 (base 5) to base 9.\nAnswer: -2522152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3 + 46*w**2 - 214*w + 170 = 0.\nAnswer: 1, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(5\/(7545\/42)). Let a = f - 71\/2. What is the third biggest value in -2\/5, a, -1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 25134*v - 201240. Calculate l(8).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-5) + (-175)\/40 - ((-5775)\/(-2904) - 1)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 21 + 33. Let r(o) be the first derivative of -5*o**3\/3 - 5*o**2\/2 - 4*o - 1. Let z(t) = -11*t**2 - 11*t - 9. Calculate q*z(f) + 9*r(f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -43948*x**2 + 3481*x - 9. Let v(q) = 10986*q**2 - 870*q + 3. Let d(f) = -3*t(f) - 11*v(f). What is the second derivative of d(p) wrt p?\nAnswer: 21996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**2 - u. Let c(i) = -i**2. What is v(c(j))?\nAnswer: -10*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 5 (c) -1\/4 (d) -0.5 (e) 0.188 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrtrkt. Give prob of picking 1 t and 1 r.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (-19 - (126 + -234))?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1488 + 1772. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 12441526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 471577116*b**3*v**3 - 223978816*b**3 wrt v.\nAnswer: 1414731348*b**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 + 0)) + -3 + (2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - i + 421 = 409, 0 = 3*w - 3*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Suppose -3*v - 2 = 2*b - 6, -4*b - 16 = 0. Suppose -v*o + 361 - 30 = -i*a, -4*a = 2*o - 160. List the prime factors of o.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 9433. Let l(j) = 2*j + 28. Determine c(l(u)).\nAnswer: 8*u**2 + 224*u + 11001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d**2 + 1374*d**3 - 4*d**2 - 1361*d**3.\nAnswer: 13*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -p + 9, -p = 3*p + 4. Let s = 2.8 + 0.6. Let m = 0.4 - s. Which is the second biggest value? (a) 4 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130300 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 b(c) = -c**3 + 9*c**2 - c + 12. Let h be b(9). Let l = 10 - h. Let q(i) = i**2 - 7*i + 11. What is the units digit of q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*n**2 + 2 + 67*n**2 - 12097*n**4 + 10782*n**4 as b*n**3 + g + s*n + p*n**4 + i*n**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*d - 50*d - 8. Suppose -2*q + 5*z + 128 = 2*z, -4*q + 224 = d*z. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -4 (c) -0.1 (d) 4\/9 (e) 890\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5892259, -11784522, -17676785, -23569048?\nAnswer: -29461311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469.\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:40 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32501 + -24195.\nAnswer: -56696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90937, 182956, 274961, 366946, 458905, 550832, 642721?\nAnswer: 734566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqsg when four letters picked without replacement from issiqsisssisigsiqsg?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 7*a**2 + 8*a + 2. Let r be o(8). Let d be (-13316)\/(-7) + r\/(-7). What is the units digit of (-2)\/7 - d\/(-42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-117) + (-8832)\/(-208)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0*q**2 + 6*q - 2*q**2 - 71 + 49. Let s be n(4). Which is bigger: -29 or s?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (-6 + (10 - -15))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g**2 - 6*g - 4. Let y be 8 - -2*(-4 + 3). Let d(v) = -v**2 - v - 1. Give y*d(o) - j(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33594*t + 58069*t + 71423*t.\nAnswer: 163086*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000055207 to seven dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1623, 200, -6, 3 in descending order.\nAnswer: 1623, 200, 11, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4035233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11953188 to the power of 1\/2, to the nearest integer?\nAnswer: 3457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-2 + (3 - 7 - -7 - 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 146153 and 114437799?\nAnswer: 114437799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 15 = -5*r. Suppose 5*f + 4*g + 16 = 0, 7*f - r*g = 4*f + 20. Suppose 0 = -f*m - m + 3. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40531 and 451.2.\nAnswer: -40079.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 10 = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/17 (b) 0.11 (c) -5 (d) -1259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/9)\/((255\/459)\/((-10)\/(-6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/20 and -95\/2778.\nAnswer: 27780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 18. Let o be (-1)\/(1\/(-3 + 0)). What is the least common multiple of 14 and (o\/(-1))\/((-1)\/h)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 688.\nAnswer: 3\/688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.952 to 1 decimal place.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3264)\/112)\/(-17)*1\/2\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 14483.57\nAnswer: 1448.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*s - 8, -v + 6 = s + 7. Let u(h) = -3*h + 2. Calculate u(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 5. Let q be (-21205)\/45 + 22\/99. Let b = 472 + q. Let x(f) be the first derivative of -f**3\/3 - f - 1. Calculate b*t(z) - 5*x(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -30, -11, 26, 87?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4885271 divided by 1\nAnswer: 4885271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1296208*r - 1128. Let b be c(-9). Round b to the nearest one hundred thousand.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -38. Solve s = -5*i + 12 - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/57311 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/13 - 62*s - 4908\/13.\nAnswer: 2*(s - 409)*(s + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981729297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + q + 0*q = -508, 3*q - 12 = 0. Suppose -v = 3*k - 7*k. Suppose -4*r = -j - k, 30 + 11 = 3*r - 5*j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/4 - -2 - -3. Suppose -n + q*o + 81 = -2*o, -3*n + 3*o = -234. Suppose -4*u + n = -u. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*z + 2*w, 2*z - 3*w - 18 = 9. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/105)\/4*(-21)\/(378\/12).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 15.67, 70240, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.146831227338364+-5\nAnswer: -4.853168772661636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 3*t + 1. Let c be 2\/(6\/(-15))*-1. Is 10 a factor of w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 5}. Give prob of picking 3 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/6, -143\/7, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - y**2 + 2*y - 1. Let t be x(1). Let w = t - -8. Let p(r) = r**2 - 11*r + 12. Let a be p(w). Solve z = 3*i - 10, 9 = a*i + 2*z - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -a + 70. Calculate the remainder when 18 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 4 = 28*d. What is the greatest common divisor of 127 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88 + 1150 + 2434*w**4 - 1246*w**4 - 289 + 2294*w**4 with respect to w.\nAnswer: 13928*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)\/v**(2\/3)*(v**0*v)**(-11))**(-3\/16) assuming v is positive.\nAnswer: v**(251\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -34. Let l(x) be the second derivative of 7*x**3\/6 - 2*x**2 + 9*x. What is the tens digit of l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*d**3 - d**2 + 465*d - 41355 wrt d.\nAnswer: -72*d**2 - 2*d + 465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/5, 546\/1061, -0.2, -1.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495488.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/3 - 4084*v**4\/3 - 21626*v**3\/3 + 1608912*v**2 + 3234003*v + 1619244 = 0. What is v?\nAnswer: -36, -1, 33, 4089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 9*l**5\/10 + l**4\/12 + l**3\/6 - l**2\/2 + 4*l. Let w be d(1). Which is smaller: 20 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 1 = 5*o - 7*a, -4*o - 2*a - 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*j**3\/7 - 110*j**2 + 2542*j\/7 + 3362\/7.\nAnswer: 2*(j + 1)*(5*j - 41)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + (0 - (1 - -1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5146\/558 - (-1 - 22\/(-18)). Put q, 13, -5 in increasing order.\nAnswer: -5, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -69 (b) 1.69 (c) -4\/5 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -208\/27 (c) 0.1 (d) 53 (e) -1 (f) 1\/2 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vsvssvssssszsss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 10*g**2 - 7*g - 43. Let h be t(-9). Suppose 51 + 71*r + 5*r**2 - 11 - h*r = 0. Calculate r.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*f + 6*v - 2631, -f - 2*v + 531 = 0. List the prime factors of f.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036602145 to four dps.\nAnswer: -0.0366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x. Calculate j(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3440 = -3425, 6*f = 3*f + 3*s + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/28))**(-10\/11) assuming h is positive.\nAnswer: h**(-5\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 3*n - 4*n. Let m(a) be the third derivative of a**6\/180 - a**3\/3 + 19*a**2. Let t(d) be the first derivative of m(d). Calculate u(t(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7425 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j. Let g(k) = 4*k - 56. Let u be g(15). Suppose 54 = -u*x + 50. Determine y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -21*g**3 - 7*g**2 + 3. List the prime factors of b(-5).\nAnswer: 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/5)\/((-10)\/(-25)). Let z(w) = w. Let x be z(4). Suppose -11 = 4*d - 5*o - 1, x = -2*o. Put d, r, 1 in descending order.\nAnswer: 1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -492162*f - 1968655. Determine l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-28)*1)\/((-1)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 10 (c) -0.009 (d) -0.4 (e) 3 (f) 2\/7 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 9.38?\nAnswer: -159.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-17)\/85)\/(2\/(-4310)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-6)\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/44)\/(5 - (-671)\/(-132)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**6\/120 - j**5\/12 + j**4\/4 + j**3\/2 + j**2 + 3*j - 3. Let a(m) be the second derivative of u(m). Determine a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 5, w: 5, p: 2}. What is prob of sequence wwq?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-29 - -6) - (-3 + (1 - -7)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o\/(o**(1\/34)*o)*o)*o)\/o*o*o**(2\/11)*o**(2\/35)*o\/o**34*o*o assuming o is positive.\nAnswer: o**(-363007\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 204, 384, 562, 738?\n\"Answer: -r**2 + 183*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -86*h**3 + h + 1. Give t(-1).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 17 = 2*z, -2*g - 2 + 0 = 0. Let m(p) = 7*p**3 + 6*p**2. Let f(r) = r**3 + r**2. Give z*f(d) + m(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 16*d - 34.\nAnswer: (d - 2)*(d + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 100, 195, 330, 511, 744, 1035, 1390?\n\"Answer: b**3 + 11*b**2 + 21*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9173 != -9418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 22, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.4. Let d = 3.7 - 4. Suppose -3*y = -1 + 4. Which is the nearest to y? (a) s (b) d (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142678440.\nAnswer: 2, 3, 5, 251, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t**2 + 3*t. Let v(f) be the first derivative of -8*f**3\/3 + f**2 + 8. Let c(o) = 5*j(o) - 6*v(o). Find the second derivative of c(z) wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1145 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00685 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2681784551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -22*s**2. Let f(q) = -694*q - 2. Give f(r(d)).\nAnswer: 15268*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1581*a**2 - 1581*a**2 - 349*a**3)*(-a**2 + 9*a**2 - 5*a**2).\nAnswer: -1047*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 6)*(-12)\/10. Let d(l) = -2*l - 1. Let p(f) = f. Let v(w) = d(w) + 3*p(w). Let y(s) = 14*s - 14. What is m*v(r) + y(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 6*l**2 + 2*l + 6. What is j(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.1662 centuries in decades?\nAnswer: 561.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 7*t - 15. Suppose -3*c + t + 1 = 0. Suppose -2 = -c*m + 10. Sort -4, m, 11, -5.\nAnswer: -5, -4, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 351, 523, 875, 1473, 2383, 3671?\nAnswer: 5403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 20045*y + y**4 - 4 - 2*y**3 + 6*y**2 - 20050*y to u + f*y**2 + c*y + z*y**3 + i*y**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 29 = -21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = 5. Let c = 11 + -14. Let j(g) = -9*g - 7. Let a(v) = 5*v + 4. Determine c*j(l) + w*a(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x + 473 = -55*x - 2383 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 185 = -5*z, 0*z - z - 405 = -5*b. What is the highest common divisor of b and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-8)*52\/(-39). Suppose -3*k - 38 = v - 218, -h*v + 540 = -5*k. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162900317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 616553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 5\/12*m**4 - 13*m + 0*m**3 + 0 + 0*m**2. Let w(j) = -j**2. Determine w(x(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -4463 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.039 - 0.261. Which is the closest to 4? (a) o (b) -3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = 9*f - 350808. What is f rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16281 + 23546. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99488 is divided by 33160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*l**5 - 2 + (0*l**5 + 2*l**5 - 3*l**5)*(-57 - 23 - 105).\nAnswer: 187*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a)*(8911 - 8920 + a**3 + 2*a - 4*a)*(4*a + 3*a - 4*a).\nAnswer: -3*a**5 + 6*a**3 + 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 43813.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 127*v**2 - 136*v + 1298. Determine u(126).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -9. Suppose 0 = 2*l - 5*g - 65, -l + 3*g = 7*g. Let f = 78 - 78. Solve 2*h - d*h - l = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -0.5 (c) 7\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1069 < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3488)\/14824*(-136)\/(-80)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1790853 by -2661.\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 - 24 = 0. Suppose -q = -t - 4*t - c, -11 = t - 2*q. Let r be (1 - (-3 - t))\/1. Solve 5*b = -3*v + 10, 6 = r*b - 6*v + 4*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/2552?\nAnswer: 3\/2552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 15 = -2*f + 3*f, 0 = -2*f + 3*a + 16. Suppose -3*v = -f*r + r + 3, -12 = -5*r + v. Solve r*z - 11 = 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -124*a + 451*a - 228*a + (4*a - 6*a + 3*a)*(0 + 1 - 4) - 2*a - 2*a + 6*a.\nAnswer: 98*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + -82. What is s rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 7*p**2 + 21*p - 15. Let s(n) = 4*n**3 + 7*n**2 - 20*n + 14. Let a(t) = -5*m(t) - 6*s(t). Solve a(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 12*v**2 - 12*v + 23. Let m = -30 - -22. Let x be (2*-3)\/(-2) - m. Is 5 a factor of h(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4529, 4, -4, 1 in increasing order.\nAnswer: -4, 1, 4, 4529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6616996 and 4.\nAnswer: 6616996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17298 + 215. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11657462.\nAnswer: 2, 149, 39119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153399 is divided by 153386.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7957 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 120341430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 8952*u + 9159*u - 18409*u + 24 - 10.\nAnswer: -298*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4102*m. Let u(b) = 23646*b. Determine u(i(o)).\nAnswer: 96995892*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30073 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/15*-2 - 108\/5. Let u = 8 - v. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/43582 and 109\/462?\nAnswer: 130746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -639, 74, 4, -3, 2, 8 in descending order.\nAnswer: 74, 8, 4, 2, -3, -5, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -27 (b) -0.5 (c) 60 (d) -3\/2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1409826 and -35\/1409826?\nAnswer: 1409826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**3 - 266*m**2 + 72*m - 1008. Give l(53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214)\/1819 + (-937)\/(-17) + -2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3 = 3*h, 0*k - 2*k = 2*h - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*w + 2*w - 0*w + 72 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1055*p**3 + 6*p - 4*p - 2*p + 1058*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 25 = 2*d - 0, -5*i + 3*d + 40 = 0. Suppose -7 = -h + i. Calculate the greatest common divisor of 84 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4606969 millilitres in litres?\nAnswer: 0.0004606969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/10 + 11\/90. Find the common denominator of 64\/21 and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-3)\/2)*96. Let n be (1 + 1)*(-4 + 3). Let y be (3 - 1)\/(n\/(-12)). Calculate the highest common divisor of y and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 47*k**2 - 20*k - 99. What is j(23)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 + 162 + 37 + -63.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-189)\/15 - (-9)\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-31860)\/(-38350))\/((-6)\/(-10))\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-144)\/(-90) + (-4)\/(-10). Suppose 5*u + 2*h = 60, 2*u + 3 = 5*h - y. Let n be (12\/u)\/(28\/(-70)). Which is bigger: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v - 1)*(0*v**4 - 3*v**4 + v**4) - 2*v**5 + v**5 + 0*v**5 + (3*v - 3*v + 3*v)*(2 - 2 + 2*v**4).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 1.21?\nAnswer: 20.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36466 - 28797. Put -5, i, 5 in decreasing order.\nAnswer: i, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (134\/(-14) - 24\/(-42))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3 - 3*i - 21 - 3. Let a be x(8). Let r = -48 - a. Solve 0 = -4*f - 3*w + 19, 3*f - r*w + 13 - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sffsfvivfffsffviffv. Give prob of picking 1 i and 3 v.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/6, 43, 61\/3, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 14 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 = f, -f + 6 - 2 = m. Suppose 0 = -3*y - 0 + 3. Calculate the remainder when y is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -947, -7508, -25303, -59948, -117059?\nAnswer: -202252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 + 758655*x**2\/2 - 1517301*x\/2 + 758649\/2.\nAnswer: -3*(x - 252883)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(9\/6 + -2). Let g(u) = -u**3 - 5*u**2 - 5*u - 6. Determine g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - -142.7. Round h to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742542411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k - 2*k. Suppose -k*p + 25 = 5. What is the least common multiple of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:17 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -844 + 844. Let n = 0.521 + -1.021. What is the second biggest value in 1\/15, 2, n, f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/55 (b) -7 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -428*m**2 + 10*m + 19. Let a be b(-10). Let k = a - -92881. What is k rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 6131209.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 212\/159 + 1\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5284 to the nearest one hundred.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16206445 (base 7) in base 11?\nAnswer: 97a075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 471688583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 235211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-10)*(-17)\/6. Let b be ((6\/36)\/((-289)\/(-34)))\/((-5)\/593). Let w = b - i. What is the second smallest value in w, 0.3, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353654 (base 7) to base 6.\nAnswer: -1211152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.9 - -22. What is the third smallest value in -1\/5, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 7:22 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/44437590 and 61\/78930?\nAnswer: 44437590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 5*v)*(2 + 1 - 1 - 1 + 1 - 1 + (3 + 3 - 5)*(1 + 4 - 7) - 2 - 6 + 5).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a + 6. Let o be j(6). Suppose -6*k + 5*i + 30 = -k, k - o = 4*i. Suppose -6*c = -24 + 6. Solve -c*r - 5*m + 18 = -7, k*m = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -295 - -303. Suppose 0 = -21*i + o*i + 4823. What are the prime factors of i?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/24 + 5*l**3\/6 + 232*l**2. Calculate i(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1492, 1539, 1710, 2065, 2664, 3567, 4834, 6525?\n\"Answer: 10*i**3 + 2*i**2 - 29*i + 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 3*n**2 + 5*n - 4. Determine q(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 154. Let z(w) = w + 31. Let s be z(t). Solve h = 4, 9*h - 17 = -o + s*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 - 16*m**2 + 14*m**2 + 3*m**3 to the form g + i*m**2 + b*m**3 + v*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + -153?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 10. Let j be l(-7). Let b = -131 + 29. Is j\/(b\/33 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/9)\/((-4)\/(-6)). Let b = 729 + -732. Put z, 4\/7, b in decreasing order.\nAnswer: z, 4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 7*j - 6. Let x be w(-3). Let r(s) = -9*s + x*s + 4 - 5. Is 2 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -4a04?\nAnswer: 49c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 10*q - 826. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**3 - 26*i**2 - 5*i - 43. Let s(t) = 3*t + 3. What is the remainder when r(6) is divided by s(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:39 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 12726*r**2 - 25443*r + 12720.\nAnswer: -3*(r - 4240)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 1:28 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33269, 66540, 99811, 133082, 166353, 199624?\n\"Answer: 33271*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a factor of 426894271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63957409 is divided by 2539?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.098?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*a**2*s**3 + 39*a**2*s + a*s**3 - 2*a*s**2 - 84*a - 6*s**2 wrt a.\nAnswer: 108*s**3 + 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0026 + 0.0831. Round j to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 4.3. Let l = -0.036 - -0.036. What is the nearest to l in 3, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1 - (1 - -11 - (-967 + 942)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -170, -667, -1494, -2651?\n\"Answer: -165*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose 19 = 16*b - 61. What is the nearest to l in -4, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 112\/(-140) - 18\/(-35). What is the nearest to -0.1 in d, 5, -1\/25, 0.3?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 2\/15, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + (-2 + 2 - (3 + 3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 - 342?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 18 = d. Let l(n) = -n - 2. Let y be l(-4). Suppose 2*g + 15 = -2*z + d, -y*z = 3*g - 24. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*c = 20, 0 = -4*v + 3*v - 3*c + 1. Suppose 13*k = -v*k + 2193. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 13*y**2 - 9*y - 3. Let f be j(6). Suppose 3*m = -x - 2*x + f, -3*m = 6. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99557.\nAnswer: 29, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 12 + -13 + (-3 - (-3 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a - 19. What is the smallest common multiple of 4 and l(-8)?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*q + 200*q - 35*q to k*q + c and give k.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -23*w**6\/30 + w**5\/10 + 91*w**2\/2 + 13*w - 8. Differentiate h(o) with respect to o.\nAnswer: -92*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/126, -2\/5, 0.1, 3 in decreasing order.\nAnswer: 3, 0.1, -1\/126, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 13*a**2 + 14*a + 26. Let w be z(-12). Let j(r) = -17*r**2 - 16*r**w + 30*r**2. Let n(m) = -8*m**2. What is n(j(d))?\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61503, 61541, 61581, 61605, 61595, 61533?\nAnswer: 61401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -225659.7?\nAnswer: 225660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/5))**(-29))**28)**43)**(-30) assuming d is positive.\nAnswer: d**(-209496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 2\/841?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 1. Suppose 0 = 5*s - 3*g + 5*g - 2, 4*s + 4*g + 8 = 0. Suppose -s*q = -q - 36. What is the remainder when q is divided by i(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 7*r + 8. What is v(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-12477)*(2\/42)\/(17\/102). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 4. Let j be g(-3). Let c = j - -24. Suppose 0 = -4*v - 71 + 131. What is the remainder when v is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + -15 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let b(z) be the first derivative of -1\/2*z**2 - 52*z + 203. Determine p(b(k)).\nAnswer: -k - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 5)*(3*l + 4*l - 4*l) + (5 - 5 - 1)*(0*l + 2*l - 4*l) + 4*l - l - 2*l + 0*l - 2*l + 3*l + 0*l + 0*l - l)*(-3*l + l + 0*l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 972809 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/((j\/(j**(-2\/17)\/j*j)*j)\/j))**(-3\/5)\/(j**4*j*j**0)**(1\/8) assuming j is positive.\nAnswer: j**(133\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-57 - -54)*-9*1*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012012120 (base 3) in base 11?\nAnswer: -43241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(200\/(-32) - -6). What is the tens digit of 605\/i - 39\/(-52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 1, w: 4, r: 8, u: 3}. Give prob of picking 3 r.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 4 (b) 422 (c) -5 (d) 5 (e) 1\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7330901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 0*f**3 + 5*f**3)*(-10 + 20 - f - f) + 0 + 0 - f**4 + (-2*f**3 + 0 + 0)*(-f + 3 - 3).\nAnswer: -3*f**4 + 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2925136, -2925137, -2925138, -2925139?\n\"Answer: -p - 2925135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18164520*j**2 - 11946116?\nAnswer: 36329040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 21 = 2*o, 0 = -o - 2*p + 7*p - 22. Suppose d + o*n = 74 + 105, 2*d - n = 372. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 124974 times 16\nAnswer: 1999584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-1\/2)*a**1)**(-42) assuming a is positive.\nAnswer: a**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.4452 and 0.2666797?\nAnswer: 2.1785203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:09 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -11, 0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.7, -2\/7, -2\/11 in ascending order.\nAnswer: -2\/7, -2\/11, 7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1594691.\nAnswer: 7, 409, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q + 4. Suppose 3*z + q = -8. Let f = 1 - z. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from -14857.\nAnswer: -14857.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11ee7c (base 15) to base 3\nAnswer: -1121201102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14945.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.017, 5, -6, 2, -1\/10 in decreasing order.\nAnswer: 5, 2, -0.017, -1\/10, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.183441 seconds to weeks.\nAnswer: 0.0001292715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2268))**2*3.\nAnswer: 61236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**6\/40 - 2*k**3\/3 - k**2 - 4. Let a(j) be the second derivative of h(j). Differentiate a(f) wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w + 4 = -2*o, o + 8 = -w. Let k = w - -4. Let z = 345\/2 - 6551\/38. Which is the nearest to k? (a) 1 (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 58290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/36))\/i*i**(1\/10) assuming i is positive.\nAnswer: i**(13\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/120 + 7*h**5\/15 + 65*h**4\/24 - 125*h**3\/3 - 17*h**2. Suppose a(j) = 0. Calculate j.\nAnswer: -25, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1684*m - 28*m**3 - 1684*m - 2*m**2 + 2*m**2.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.399302652 + -0.3993. What is j rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-2 - 1 + 1)*(5*g**4 - 11*g**4 - 14*g**4).\nAnswer: -80*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 2*l + 440. Is 32 a factor of j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4207359666 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2195, 2181, 2167, 2153, 2139?\nAnswer: 2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70a7 - -5?\nAnswer: 70ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i + 3*y - 23, 2*i + 3*y - 7 = 0. Suppose -i*u = -13*u + 900. Is u a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 5. Let o = -1.766 + 0.766. Which is the closest to o? (a) 0.3 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-3))\/((-10)\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28829\/8052 + 2\/671. Calculate the common denominator of o and (-4)\/(-32) - 2\/((-864)\/3450).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -214, -239, -252, -247, -218, -159?\n\"Answer: x**3 - 32*x - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*o + 57. Let n(m) = -5*m + 1. What is the remainder when n(-5) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4 = j, 6 = -j + 2*n + 3*n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -9, -4, 13, 48?\n\"Answer: q**3 - 3*q**2 + q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -113. Calculate the remainder when (-4)\/b*(-8 - -233) is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10161*a + 24196*a + 26121*a.\nAnswer: 40156*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*x = 119. Suppose b = -b + 272. Calculate the highest common factor of x and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 7*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*d - 2*i, 3*d + i + 13 = 2*d. Let m = d + 27. What is the remainder when ((-1)\/2)\/(3\/(-174)) is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 89*z**2 + 0*z**3 + 88*z**2 + 87*z**2 - 264*z**2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/845474 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptzdxxpttzpddpptppp. What is prob of picking 2 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52890, 105781, 158672?\nAnswer: 211563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*s + 6, 4*a + s = -0 + 8. Let m(g) = 4 - 8*g - 4 - 4 + g**a + 3. Let v be m(9). Calculate the highest common factor of 64 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t + 15 + 5 - 32 - 28 - 35 as q*t + y and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 7:07 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2567 + 7049 = -117*z - 484*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, -16, 2, 5, 15, -342, -1\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5 + 5 + 2*i. Let t(b) = b**2 - 6*b - 3. Let n be t(7). Let r be k(n). Solve -5*o = -4*w - r, o - 5*o + 10 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 47*z**2 - 133*z - 35. Determine m(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 20 = 4*g. Sort 4, g, -1 in ascending order.\nAnswer: -1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -38. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1 = -11. Differentiate 3*k**3 - 6 + 0*k**3 + 2*k**d + k**3 with respect to k.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-61)\/(-4) + (-1)\/4. Let m = -10 + k. Solve -4*b - b + p + 30 = 0, 2*b = -3*p - m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.06, 2, -0.4 in increasing order.\nAnswer: -3, -0.4, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 323 - -96. Suppose 0 = g - 2*k - 145 + 4, -4*k - z = -3*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 180 = 0. Is (-2)\/(-4)*o\/3 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/((104\/(-52))\/((-6)\/135))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -235, -226, -217, -208, -199?\n\"Answer: 9*p - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 158900940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868763 is divided by 288?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 32*g**3 - 144*g**2 + 216*g - 108 = 0.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26868847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 74. Suppose -v = 4*v - d. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b - 1. Suppose -7*m + 2*m = 5. Calculate the remainder when 12 is divided by s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/2016 and -209\/4830.\nAnswer: 231840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*x, 25*z - 26*z = -x - 5638. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 27*u**2 - 66*u.\nAnswer: 3*u*(u - 2)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -731 (base 9) to base 8.\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 943, 1896, 2851, 3808, 4767?\n\"Answer: p**2 + 950*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 780*f + 253. Is d(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11168 + 332?\nAnswer: 11511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7040000 to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21602 - 13591 - 125652 = 1903*h + 42776 for h.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Let l be 5\/10*2\/r. Which is smaller: l or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/(-86))\/((-2)\/1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**4\/24 + 3*h**2\/2 + 2*h. Let v(t) be the first derivative of p(t). Let c(g) = g**2. Determine v(c(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 139, 303, 529?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07846485597 rounded to six dps?\nAnswer: 0.078465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175720 and 1615?\nAnswer: 56757560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -27, 2, 5, 1 in decreasing order.\nAnswer: 5, 4, 2, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*a - 0*y - 11, -3*y - 12 = 0. Suppose -3*f + 6*m - m = -17, -a = f + 5*m. Solve -f*q + 6*q + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*h = -32, -24*g + 4*h = -27*g + 19. What is the fourth smallest value in 4, 1\/4, -64, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -54, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xih when three letters picked without replacement from xmxmimh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umufouarfrauaaaao. What is prob of picking 2 o and 2 u?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 minutes after 2:10 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2657575.2, -1, 3 in ascending order.\nAnswer: -1, 3, 2657575.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -418078*d**3 - 7*d**2 + d - 23832218 wrt d.\nAnswer: -1254234*d**2 - 14*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -6\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0*o**3 + 0 + 0*o + 5\/24*o**4 - 3*o**2 + 0*o**5 - 2\/105*o**7 + 0*o**6. What is the second derivative of m(p) wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + m**2 - 1. Let r(p) be the third derivative of p**5\/60 - 3*p**4\/8 + 5*p**3\/3 + 2*p**2. Let s be r(8). Is o(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132990606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 391 = -73. Let s = u - -8. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 442145 + -3?\nAnswer: 442142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57338175547 + 35*u**2 + 2*u - 57338175546 - 2*u.\nAnswer: 35*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r - 10. Let n be i(2). Suppose 0 = 3*s + n*s - 75. Calculate the greatest common divisor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8)\/((-11)\/176). Suppose -12 = -g*f, -t + 12 = 2*t - f. Suppose -11 = -3*w - 2. Solve -t*h + 6 = -w*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2798189004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 847*h*n**2 - 4252*h*n*q - h*n - h*q - 2*h + 5*n**2*q + n**2 wrt n?\nAnswer: 1694*h + 10*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/8) + 102879\/73485?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/6 - -6)\/((-13830)\/3688).\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d - 49*d - 2*c - 79 = 0, -d - 4*c = -7 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20937\/5 greater than or equal to -4186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -115, 3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**0*b)**(2\/83)\/(b\/b**(-2\/5)*b*b**5))**(-34\/5) assuming b is positive.\nAnswer: b**(103394\/2075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 48. Suppose 4*g + 2 = -5*a, 14 = -0*g + 4*g - 3*a. Solve d + h = -5*q - 0, -q = g*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736)*2*-3)**2 - -4*(sqrt(2736) + 0))*-3.\nAnswer: -295488 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 5*s - 2*s + 3*s - 1. Let q(g) = -g**3 + 10*g**2 - 8*g - 4. Let f be q(9). Let u(x) = 0*x + 3 + f*x + 4 - 3. Calculate 3*r(j) + u(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 - y**2 - 3*y - 4. Let g(r) = -r**3 - 4*r - 3. Let u(q) = -3*g(q) + 2*l(q). Calculate the remainder when 24 is divided by u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30.5747 from 5.\nAnswer: 35.5747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/7 - 24*r**3\/7 - 10*r**2.\nAnswer: -2*r**2*(r + 5)*(r + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 8*s + 38880. Suppose w + 4*g + 545 - s = 0, -4*g + 8642 = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**5 - 23*f**6 - 25*f**6 + f**2 + 159*f + 2*f**5 - 98*f**6 wrt f.\nAnswer: -17520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27583959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlhxiihhyicxyhi. What is prob of picking 1 h and 1 c?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-3)\/(-12) + 9\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -5 - (-2 - 2)) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.4. Let w = 59\/268 + 2\/67. Let v = -0.41 + 2.41. Which is the nearest to v? (a) k (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 8*c - 92. What is the remainder when 54 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) -1108.95 (c) -30\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657848 is divided by 328542.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 125491958 divided by 5\nAnswer: 125491958\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5888*o - 97107 = -20563 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*g**3 + 38*g + 46\/9*g**2 + 90.\nAnswer: 2*(g + 5)*(g + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143 (base 5) to base 8\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 1. Let x(u) = 14*u + 5. Let y(v) = -15*v - 5. Let z(l) = -4*x(l) - 3*y(l). Let d(c) = -6*g(c) - z(c). Is d(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -7. Let f be (-39)\/(-2 + (-5)\/d). Suppose -5*s - f + 207 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 - 119. Let p = g + 300. Let u = -12 - -17. Solve p = -u*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/3460 and -1\/731444.\nAnswer: 3657220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -2.199988448. Round p to seven dps.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1076264 and -239.\nAnswer: 257227096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 535918 divided by -4\nAnswer: -267959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10037 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49274?\nAnswer: 2, 71, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 1930*w + 17775.\nAnswer: -5*(w - 395)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.82 - 7. What is c rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = r - 23, -3*r - 2*y - 1 = 0. Suppose -r*b - b + 44 = 0. Solve 0 = -4*x + 5*x + 5*w - 19, -x + 5*w = b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9173 is divided by 79.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 times 1.65?\nAnswer: 574.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -22.5. What is g rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(12)*-1 + sqrt(12))\/sqrt(2))\/(sqrt(128) - (sqrt(128) + sqrt(128) + 4*sqrt(128)*2 - sqrt(128))).\nAnswer: -7*sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 14 (b) -1\/33 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -2, 6 in decreasing order.\nAnswer: 39, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -41*g**4 - 84*g**3 - 45*g**2 - 2*g = 0.\nAnswer: -1, -2\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -9*q + 19*q. Sort q, 5, 3.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose -2*o = -3*w - 5*o, 0 = 2*w - 4*o - 18. Suppose 4 = -4*d - w*a + 2, -a = 5*d - 3. Calculate the remainder when p is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 8\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 10*k**4\/7 + 62*k**3 + 2752*k**2\/7 + 456*k + 864\/7 = 0.\nAnswer: -36, -6, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -21*b + 1. Let n(z) = -14*z + 5*z - 1 + b. Let y(i) = -i**2 + 0*i**2 + 3*i**2. Give y(n(f)).\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 h when three letters picked without replacement from jpphjjjpjpjh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*9\/((-3)\/1). Let p be 1 - (-3 - (v - 4)). Which is bigger: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*m - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.3 - 9. Let n = 936643.69999968 - 936643. Let b = y + n. What is b rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -22.1. Let s = 3173.021 - 3173. Which is the nearest to 1? (a) m (b) 0.1 (c) 0 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-16) + (-375)\/(-2). Suppose 3*z = 723 - v. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - x = -74, 71 = 5*a - x - 17. Calculate the highest common factor of a and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/8)\/((-1755)\/120 - -18). Factor 2\/9*j**2 + 0 - p*j.\nAnswer: 2*j*(j - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 33 = 3*g, g + 0*s - 3*s - 3 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1904350026 bigger than -1904350025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5))**(-1\/25))**23*(k**(-9)*k)\/k**(-3\/2)*k*k**(-1\/2)*k**(-1\/9) assuming k is positive.\nAnswer: k**(-8324\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2\/19, 3\/8, 7590 in decreasing order.\nAnswer: 7590, 1, 3\/8, -2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -1, -5, -14, -3, -25 in increasing order.\nAnswer: -25, -15, -14, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**2 + 0 - 3\/5*w**5 + 2*w**3 - 10*w + 0*w**4. Find the second derivative of u(v) wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(96\/(-75)) + 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a day in minutes?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k**7*k**3*(k\/(k**7*k)*k)\/k*k\/k**(-2\/5)*k*k**(2\/9)*k**(-3)\/k**6 assuming k is positive.\nAnswer: k**(-377\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -269, -5, 1 in increasing order.\nAnswer: -269, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 2:25 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 9. Suppose 2*m = b - 0*b + 2, -4*b = 3*m - 3. Calculate q(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5777*v - 6075*v = -13708 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-3)*z*z*z**(2\/7))**(-6) assuming z is positive.\nAnswer: z**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -192, -187, -180, -171, -160, -147?\n\"Answer: s**2 + 2*s - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4*l + 3*l)*(9*l**4 - 38*l**2 + 38*l**2) - 4*l**5 + 2*l**5 + 0*l**5.\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**1\/z*z))**(-39)\/(z**(-2)\/z**(1\/4)))**(3\/5) assuming z is positive.\nAnswer: z**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*f**4 + 6*f**2 - 27*f**2 + 22*f**2 + 142 wrt f?\nAnswer: -12*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*a - 329 - 2059 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -3*c**2\/2 + 2. Let p(h) be the second derivative of 37*h**4\/12 - 2784*h. What is w(p(o))?\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -0.33. Let c be -2 - (5\/(-1) - -1). Let i be 4\/8 - (-57)\/18 - (-10 + 14). Put i, t, c in decreasing order.\nAnswer: c, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 3:20 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*c = 110, 0 = -3*f + 31*c - 30*c - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-159*l + 154*l + 0 - 1)*(0 + 0 + 2) to m*l + a and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, u: 3, m: 4}. What is prob of picking 1 p and 2 m?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t - 22. Let o(p) = -14*p - 43. Let a(f) = -3*o(f) + 5*z(f). Let j be a(-7). Let b be (j\/8)\/(3\/(-8)). Solve -5*c - b = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19261220429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/3 + 0. Let h(w) = w**2 + 2. Let t be h(5). Let m be (-22)\/(-63) + 6\/t. Which is the nearest to -1\/2? (a) j (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 7. Let t(k) = 3*k - 5. Let l(o) = 7*t(o) + 5*z(o). Let u(c) = c + 3. Let j be u(-4). Calculate l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + d**2 + 53*d - 746200. Let k be f(0). What is k rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a2 + 1?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -411296 - -3?\nAnswer: -411293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 80 = -25*n. What are the prime factors of n - (-5)\/10*2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tll when three letters picked without replacement from lliillt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -39. Suppose -4*c + o = c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*l - 3 = -v, -v + 16 = -2*l. Let t(m) = 2*m - 3*m - 3*m + 3*m + v. Let f be t(3). Solve 0 = 2*h + 10, 5*h + f = -4*i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 22*y**3 + y - 1. Let m be p(1). Let f(k) = -k**3 - 13*k**2 + 243*k - 152. Let d be f(-24). What is the highest common divisor of m and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4848)\/(-15))\/((-9)\/(-45)).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2\/9 (c) -0.4 (d) -4 (e) 0.032\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.22 + -1.7. Let a = 2927523 + -2927523.4800132. Let x = i - a. What is x rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 16*z - 3*c - 5, -2*c = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3000\/11 - 23483\/88. Let j = -10114 + 222451\/22. What is the common denominator of j and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-8))\/(60*(-11544)\/16640).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2446 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1819355984 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 14\/3 of a century?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-13 - 5)\/(-6). Solve -q*d + 2*d + 13*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3250.27nm to micrometers.\nAnswer: 3.25027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/150)\/(4746\/(-280) + 17). Which is greater: 0.3 or l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84364 is divided by 555.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*l = 790*l - 42 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 + 13) - (-6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 428230 + 0.5.\nAnswer: 428230.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 19*f**2\/4 + 79*f\/4 - 99\/4.\nAnswer: (f - 1)*(f + 9)*(f + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5272\/3 + 1757. What is the closest to -1\/2 in -5, 31, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5*(-5)\/550). Suppose -2*b = -5*u - 172, -b + r = -u - 70. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in -2\/7, -3476, -1\/5, 1\/12, -4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u - 17. Let q(y) = -5*y - 6. Let w(t) = -6*i(t) + 17*q(t). Let c(a) = 21*a. Determine c(w(l)).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.9 - 29. Which is the closest to k? (a) -5 (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 34*q - 93. What is p(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.221899 + 3370.557?\nAnswer: 3370.778899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/(sqrt(48)*-1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/231 and 7\/4.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i + 5*s = 0, 2*i - 5*s = 0. Suppose -8 = -2*w - i*w. What is the least common multiple of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -30. Let c be t\/6*(-16)\/6. Suppose -c*j = 25 - 261. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 230993160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5831214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45399?\nAnswer: 3, 37, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9512 less than -9503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 - 3. Let d(j) = -j**2. Give -3*d(g) - p(g).\nAnswer: -g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 9 - 31. Suppose -118 = -6*i - a. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 15*o - 8. What is the remainder when 195 is divided by c(12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/67)*p**23*p assuming p is positive.\nAnswer: p**(1673\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1659175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + 319. Calculate the remainder when q is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -24. Calculate the highest common factor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 10. Let p be t(-6). Suppose p*i - 35 = -3. Solve -2*g - 2*g + i = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fcccfcfcrcrfffffff. What is prob of sequence rcrc?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 17421.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 divided by 2743?\nAnswer: 1239\/2743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 30, 63, 112, 183, 282, 415?\n\"Answer: m**3 - m**2 + 19*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15*w + 2 = 11*w, -d + 4*w + 22 = 0. Let z(u) = 3*u**3 - 24*u**2 + 31*u - 23. Does 13 divide z(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t)\/t**(-23)*t\/(t\/(t\/(t\/(t**2\/t)))*t)*t**18 assuming t is positive.\nAnswer: t**(119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412483*m - 133888*m - 54838*m.\nAnswer: -601209*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f + 3*f - 8*f.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {o: 16, q: 2}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 + -3959\/20. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3151.52, 4\/7, -0.4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 5*d - 45 = 0. Suppose -2*h = h - d. Suppose -25 - 20 = -h*x. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 276951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, q: 1, e: 1, m: 4, v: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55, 220, 493, 874?\n\"Answer: 54*v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 30 = -5*o, -12*o - 13 = -9*o + 5*f. Suppose -219 = 3*d - o*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-4)*(32\/(-40))\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 4)\/(39\/(-6) - -6). Sort k, 0.1, 0.3, -0.5 in decreasing order.\nAnswer: k, 0.3, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - (-2 - -3))*1. Suppose u - 103 = q*i, -4*i + 116 = 2*u - 76. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*r, -2*r = -v + 2 - 10. Let m(g) = g**3 + 11*g**2 - 5*g - 8. Is 19 a factor of m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 5, y: 1, e: 1, t: 3}. What is prob of sequence myme?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2*o**3 + 7*j**2*o**2 + 87*j*o**4 + 19*j*o**2 + o**4 wrt o?\nAnswer: -6*j**2 + 2088*j*o + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -4 + 3 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/12 (b) 4 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0)*9\/18. Let h(p) = -p**3 - 1. Let y be h(s). Solve -2*r + 6 + 0 = y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -11306\nAnswer: -3\/11306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (152\/(-95) - (-6 - 4))\/(2\/710) and 923.\nAnswer: 38766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*7\/(-21)*(-904)\/(-2034)*(-6)\/8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 24*b + 19*b**2 + 11*b + 15*b in the form o + u*b**2 + m*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 494088 and 4349912?\nAnswer: 221845512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/11)\/((x\/(x\/x**(2\/101)*x))\/x) assuming x is positive.\nAnswer: x**(1594\/1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -536 * 176.\nAnswer: -94336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4016.86 and -67.418.\nAnswer: -4084.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 8 = 2*w, -4*r + 49*w - 44*w + 20 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24304717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(2 + (-2)\/3). Let w(z) = -27*z - 26*z - 24*z - 31*z + 3 + 107*z. What is w(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10901)\/741268*(9\/(-33) + 1).\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5808 and 20592?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -148495 and 21.\nAnswer: -148474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k + 16 = 0. Let x = k - 10. Let a = -1632 - -1656. What is the highest common divisor of a and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1198 + 625 - 975 - 1372 - 759)*(-4*m + 2*m**2 + 4*m).\nAnswer: -7358*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let i(a) = -a**2 - 3*a. Let c = 48 - 50. Calculate c*h(s) + i(s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:15 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-16 + (-23)\/(3542\/(-2420)))*35?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiimsm. Give prob of sequence isi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000176 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2719*h**3 - 42*h**2 + 7*h + 11. Let l(x) = 2706*x**3 - 43*x**2 + 6*x + 10. Let u(r) = -6*c(r) + 7*l(r). Find the third derivative of u(s) wrt s.\nAnswer: 15768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 6*a + 8 = 0. Solve 0 = 2*m - a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157+-46\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 451589580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21 - 10)\/93)\/(1\/(-2)). Let w = -0.2 - -1.2. Put w, i, 0.07, 4 in descending order.\nAnswer: 4, w, i, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.487832 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 15. Let c be (-12)\/(-2) + 3 + -5. Suppose -c = -3*n - n. Calculate the remainder when a is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (50\/200)\/((-1)\/28) + 10957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6133859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 250.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/8, 1.2, 0.13, 4\/3 in decreasing order.\nAnswer: 4\/3, 1.2, 0.13, 1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 216*s\/7 - 5832\/7.\nAnswer: -2*(s - 54)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1 + 2758*j**2 - 686*j**2 - 689*j**2 - 691*j**2 - 689*j**2. Suppose -6*r = 4 + 2. Determine h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -55\/280688 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:34 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:40 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18625 and 1043?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*(-5)\/(30\/(-56)). What is the tens digit of (-1 - (-21)\/u)*1354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1064.2 + 967. Let q = 102 + z. Let s = 6.8 - q. What is the closest to s in -2\/3, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = -d, 5*d = 3*d - 2*q + 38. Suppose 4*z = -13 + 41. Suppose -7 = -k + z. What is the smallest common multiple of d and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p. Suppose -5 = -p*a + a. Let k be 2\/a + (-54)\/(-10). Solve 5*i - i - l = -4, -k*l = 4*i - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -36\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-624)*(-1)\/((-4)\/(-6)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 8*g**2 - 12*g. Suppose -3*f + b + 26 = 0, 4*f = b - 4*b + 39. Calculate the remainder when c(-7) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31168445 or 31168444?\nAnswer: 31168445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 1, g: 1, b: 3, q: 2}. Give prob of sequence xqq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1552\/304 - 16\/152\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4 and -87\/2996.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 57*o - 437 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 32*z + 17. Let r(s) = s**2 + 15*s - 9. Determine -7*r(m) - 3*v(m).\nAnswer: 2*m**2 - 9*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - 122111876\/(-16) - (58\/8 + -6). Round n to the nearest 100000.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca8c7 (base 14) to base 13.\nAnswer: -14215a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101*((-2)\/(-2))\/(-12) and (30\/4)\/((-48)\/(-36))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -718, 47.3, -1\/8, -0.3, -3?\nAnswer: -718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 + 114. Suppose -4*f = 5*m - 540, -m + 66 + 31 = 3*f. Calculate the highest common factor of m and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 3 + 3 + 6*u**2 + 1 wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 18*q**2 + 19*q + 5. Let a = -88 + 107. Calculate z(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*u + 3. Suppose -3*f - u = 0, 21 = 5*k - 2*f + 7. Solve d + 2*r = -d - 16, -22 = k*d + 4*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 10\/39, 0.01924, -3\/41?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 23114\nAnswer: -2\/11557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 0.3, 3\/5, 685.4, -1 in increasing order.\nAnswer: -1, 0.3, 3\/5, 1, 17, 685.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 53 - 57 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:19 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36517 or -21868?\nAnswer: -36517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -49, 5, -1, 2, 29, -7 in descending order.\nAnswer: 29, 5, 2, -1, -4, -7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssjj when four letters picked without replacement from sjssssppspjs?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 29. Suppose 2*k + 5*p = 15 - h, 4 = 4*p. Let c be ((-3)\/(-1) - k) + 3. Let j(s) = 2*s - 6. What is j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + 0 + 41 + -36 - 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 5.7. Let j = 3.36 - t. Let c = -0.04 - j. What is the third smallest value in 13, c, -0.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71583572 - 258*g**3 + 66*g**3 - 68*g**3 - 199*g**3 - 71583572.\nAnswer: -459*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7*c = -11*c + 32, c = -5*t + 36. Solve 42 - t = -7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 234 - 232. Let 2\/3 - c*r + 2*r**2 - 2\/3*r**3 = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 81*i - 586. List the prime factors of b(26).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from efffu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/((-4)\/30). Let b(d) = 4 - d - 3 + 2*d. What is the units digit of b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12\/11 (b) -35 (c) 18 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. Let x = -7 - -9. Suppose -x*g - 19 = -w, -w + 1 = g - s. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 8*z**2 - 4*z**2 + 5*z**2 - z.\nAnswer: 11*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8240 + 7747 + 6142 + 14927)*(-2*c**3 - 3*c**3 + 3*c**3) to t + w*c**3 + z*c**2 + p*c and give w.\nAnswer: -41152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098453 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 105?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -20, 14, -10 in decreasing order.\nAnswer: 14, 5, 0, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 6*z - 3. Let l(w) = -w**2 - 1. Let q(j) = j**2 + 31*j + 11. Let r(f) = -4*l(f) + q(f). Let g(m) = -11*b(m) - 2*r(m). Factor g(h).\nAnswer: (h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 12*p**2 - 57*p + 297. Calculate l(15).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64990)\/18760 + (-7)\/(-4)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/33 and -43\/60804.\nAnswer: 668844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y**2. Let k = 16830 + -16796. Let o(z) be the third derivative of k*z**2 + 0*z + 0*z**3 - 1\/20*z**5 + 0*z**4 + 0. Calculate o(h(c)).\nAnswer: -588*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6937 - -6934. What is the closest to 1 in -2, -1\/3, a, 50?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 111\/11?\nAnswer: 111\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/2, -5, 6, 105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19710, -39414, -59118?\n\"Answer: -19704*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544857125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 481545329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-269)\/4 + 4650\/3720 + (-7 - 1)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101252 - -223868. Let a = 40616 - p. What is a rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h - 133 = -2*o, 4*o = 5*h - 735. Is h a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*2*-5 + -1*sqrt(1800)*-2)**2.\nAnswer: 115200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18494920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -48\/17?\nAnswer: -48\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiaiaiii. What is prob of sequence aii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4 - 16*q**3 - 10*q**2 + 100*q = 0. Calculate q.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-25))\/(5\/50*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.16322 months in millennia?\nAnswer: 0.023346935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + g)*(222 + 380 - 56) as c*g + w and give c.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 85*v**3\/6 + 11*v**2\/2 + 28*v - 57. Let j(z) be the first derivative of d(z). What is the derivative of j(r) wrt r?\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)*i*i**(-7\/4))**45 assuming i is positive.\nAnswer: i**(-1125\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 98*k**2 - 1. Let q(o) = 6*o. What is z(q(y))?\nAnswer: 3528*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 199 = 817. Let o = 130 - j. What is the smallest common multiple of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 1\/4 (c) -0.028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 35*z - 25)*(6 - 2 + 0) + 9*z + 0*z - 2*z.\nAnswer: 147*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470 = -3548*d + 3597*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 3*g**2 + g**2 + 0*g - 75*g**4 + 66*g**4 to the form y*g**4 + t + x*g**3 + i*g**2 + l*g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, 5, 16, 9, 4 in ascending order.\nAnswer: -12, -1, 4, 5, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10342 (base 8) in base 14?\nAnswer: -180a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -14 - 18 - (-2 + (-2 - -4)) - 40?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/1045*(-10)\/4. Let o be 18\/20 - (-5)\/(-10). Sort t, 1\/7, o in ascending order.\nAnswer: t, 1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m*n**3*p + 3055*m*n**2*p - 11703*m*n*p - 27*m + 25*n**3 + 3*n*p wrt n?\nAnswer: -18*m*n*p + 6110*m*p + 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 2. Let o be z(-2). Let t(x) = 3*x + x - 3 + 2. Give t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2184 = 26*y - 65*y. What is the greatest common factor of y and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28448 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*2*sqrt(152) - 5*sqrt(152)*2))\/(-4*(sqrt(392) - sqrt(392)*1 - sqrt(392))*-1))**2.\nAnswer: 171\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*l + 28, -7 - 13 = -2*l - 5*z. Solve -l*x - k = 7 + 3, -1 = -4*x + k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:03 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9389.5 in -2, 4, 2\/11, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2101, 2234, 2365, 2494, 2621?\nAnswer: 2746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*m**2 + 131*m**2 - 36*m**2 - 30*m**2 - 39*m**2.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3633538 to 2 dps.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/44 and 37\/46272?\nAnswer: 508992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**3 - 2*c**2 + 202*c + 204. Determine k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0932 - 0.09897. Round d to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*h + 1994357 - 1986846 = 0 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 + -449b?\nAnswer: -4526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.943 and 5924.\nAnswer: 5933.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1316 and 364972.\nAnswer: 120075788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*q - 305293, 0 = 5*w - 4*q + 176778 - 685613. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 5 + n + 3 + 1052*n**3 - 1008*n**3 + 4 to h*n + z*n**3 + k*n**2 + q and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + 2.06. Let i be 79015\/100 - (-3)\/5. Let d = i - 791. Which is the nearest to d? (a) -1.9 (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by 1.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 713277 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: Multiply -2385769 and 0.1.\nAnswer: -238576.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 18607?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10091586 to the power of 1\/2, to the nearest integer?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*m + 2 - 3 - 11*m)*(-1 + 4 - 5) to the form q + g*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - -25) + -35 - 113?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 905770821 to the nearest integer?\nAnswer: 30096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1315 and 133867?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1464*q + 10150?\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 + -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 25, 60, 105, 160, 225?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 3, a: 1, h: 1, g: 5, c: 1}. Give prob of sequence igii.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 6839\nAnswer: -36\/6839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201734*y + 634418*y + 163422*y.\nAnswer: 999574*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7055 and 43520.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153314?\nAnswer: 2, 7, 47, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -7506946.\nAnswer: 750694.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 60*c**4 - 3685*c**3 - 36875*c**2 + 58000*c - 17500 = 0.\nAnswer: -10, 5\/12, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1309 and 629.\nAnswer: 48433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) + 0 + 2. Let h = 1 - k. What is the remainder when (5 - -2)\/(h + 2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 2*n**2 + 2*n + 2. Let o(i) = i**2 + 4*i - 2. Let r be o(-4). Let w be q(r). Let f = 0 - w. Solve d = f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -66, -102, -138, -174, -210?\n\"Answer: -36*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - 11*a - 11. Let r be -12*(-2)\/(-16)*4. Let u(x) = -x**2 - 3*x - 3. Calculate r*k(v) + 22*u(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0966 - -1.6034. What is the closest to 0.5 in p, -2, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - l - 3*l)*(158 - 158 - 4*l) + 2*l**2 - 2*l**2 + l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 63.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/42783 and -37\/39.\nAnswer: 42783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 31691 = 23*o. Calculate the greatest common divisor of 121 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - -4a52b4?\nAnswer: 4a5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (4 - (-5 + 8)). Let i be (y\/(-4))\/(41\/(-11316)). Solve 66*g - i*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6317, 12800, 19283?\nAnswer: 25766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(0 - 1)*0. Suppose 5*z + 45 = 4*k, 6 = -0*z + 2*z. Suppose 0*b - 3*b + k = 5*n, -2*n + 25 = 5*b. Solve -x + 12 - 3 = 4*c, 4*x - b*c - 15 = p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/14 + (-4)\/(-14). Let g be (2 - (-7)\/a)*-2. Suppose 2*o = -d + 18, -o + 3*o - 22 = d. Solve i + o = -g*s, -2*s = s - i + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 37 + 37. Let x(q) be the third derivative of q**5\/10 + 2*q**2. Determine x(f(p)).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - g**2 - 2*g - 1. Determine o(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/6*(-5*14 + 0). Calculate the highest common divisor of 21 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 5, 4, 3, 9.\nAnswer: -1, 2, 3, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/188 + -1847\/2068. Let x = -29\/44 - o. Let y = 1 - 1.1. Which is the closest to y? (a) x (b) -2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1923 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from rhxrrrhta.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222001 (base 3) to base 6.\nAnswer: -35301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5657494130 to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*h**2 - 1054*h**2 + 566*h**2.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9 = -75. What is the smallest common multiple of 40 and (20\/(-14))\/((-45)\/210)*v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) 0.04008 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 + -10 - 2*1 and ((-43)\/4)\/(-5*(-2)\/(-80)).\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -22 - 28*o**2 - 12*o**3 + 30*o**3 - 16*o**3 + 9*o. Does 26 divide g(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.2 (b) -12 (c) -2\/3 (d) -0.908 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544964107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/17, 36\/7, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9127972\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - s**2 + 2*s - 12. What is i(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-162)\/(-4))\/(12\/24). Let n = 290 - x. Suppose -5*r - n = -3*s, -3*r + 145 - 364 = -3*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 128*i**2\/3 - 3685*i\/3 + 8978.\nAnswer: -(i - 6)*(i + 67)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 3\/7, 0.4, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 - 46.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 366. Let l = d + -257. Which is smaller: l or 115?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 474824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 222. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.027718*410\nAnswer: -11.36438","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -0.4 (b) 0.12 (c) 1\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -172*d**2 + 12*d + 68. Let a(b) = -16*b**2 + b + 6. Calculate 68*a(l) - 6*i(l).\nAnswer: -56*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/273 - 6596\/3003. Calculate the common denominator of 0\/(-3) - ((-10)\/14 + 2) and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 731\/6 - 15367\/126. Calculate the common denominator of w and 11\/336.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355.71 + -355.7100047707. What is i rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -7. Let v = -11 + p. Factor 0 + 0*u**v + 2\/7*u - 2\/7*u**3.\nAnswer: -2*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.004 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1934, -1977, -2018, -2057?\nAnswer: -2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15914475 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 4*z**2 + 4*z - 2. Let q(y) = -y. Suppose -3*w - 1 = -4*w. Let n(h) = w*r(h) + 2*q(h). Give n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1311792516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -200\/2047?\nAnswer: -200\/2047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 1. Let w be q(0). Let a(v) = -6*v**2 - v + v**2 + 7 - 8. Give a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-4) + 21\/(-42). Let k(r) = -4*r**2 + 19*r + 7. Let v be k(q). Solve v*j = -2*p, 8*p - 6 = -2*j + 3*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -16*o**2 - 10*o + 10. Let s(c) = -5*c**2 - 3*c + 3. What is 3*i(a) - 10*s(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-15))\/(-8*(-2)\/16).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1 = 5*a, 2*a - 19*s + 2 = -20*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443133401.\nAnswer: 3, 8167, 58901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/12 + (-6)\/(-8). Let h = -43 - -46. Is d < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = -1664. Let c = z - 227. Suppose 0 = -3*k + 3*n + c, n + 2*n = 4*k - 256. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 + 2*b**2 - 1. Let s be l(-1). Suppose -2*m = -s*k - 20, 3*k - 62 = -6*m + 2*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 31*u = -133 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -31251*j**2 - 5*j - 4. Let z be (-4)\/(-5)*(-4 + -1). Let u be r(z). What is u rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237370 (base 8) to base 4.\nAnswer: -103323320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/60 - i**3 - 42*i**2. Determine q(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - b63?\nAnswer: -b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1560 (base 9) to base 13\nAnswer: -705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-1*-2 - (-1 + 1 + sqrt(13)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x + 1084*x + 2831*x + 88*x = 192935 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7050 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0622 + 491.9378. Let q = 494 - c. What is the nearest to -1.1 in q, 2\/17, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000223272 to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((-57)\/(-2)*(328\/36)\/(-41))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + (sqrt(13) - sqrt(78)\/sqrt(6)) + sqrt(13) - 1*(-1 + sqrt(13) - sqrt(13))).\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 105, 247, 467, 801, 1285, 1955?\n\"Answer: 6*f**3 + 3*f**2 + 91*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*n + 10, -4 = -5*n + 3*h + 4. What is the highest common factor of 8 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-1 - -2) + -9 + (137 - 148))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6570794 micrometers to kilometers.\nAnswer: 0.0000000006570794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.33 - 0.67. Let c = y - -30.00000058. What is c rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = i - 7, -3*t + 2*t = -2*i - 16. What is the lowest common multiple of 5 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)*b*(b*b**(-5))\/b*b**(2\/7)*b*b**(-2\/11)*b)**(-21\/4) assuming b is positive.\nAnswer: b**(93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14)*(-14)\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 5*i - 45 = 0, 12*r + 87*i = 83*i - 124 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 858 + 17 = 4*x, 877 = 4*x - 3*y. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 10 - (140\/(-7))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1167.8 to the nearest ten.\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 21503 - 21502 - 2*u**2 - 4*u**2 to r*u + f*u**2 + n and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(3\/(-18)*4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 10854?\nAnswer: -43416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3821 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 6, u: 2, d: 1, g: 5}. Give prob of sequence hgf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 385? (a) 3.4 (b) -1\/2 (c) 5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-108)*-15*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -351*h**3 - 10*h**2 - 4*h - 5. Let c(m) = -m**2 - m. Let u(i) = 5*c(i) - n(i). Let g be u(5). Round g to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.3*-5223177.\nAnswer: -74691431.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*g - 10 = 0, 0 = -p + 4*g - 3 - 14. Find the first derivative of 76 - 12*i**p + 95 - 40 + 38 wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {f: 2, z: 1, n: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from fqeeqqveqeeeqvqqqf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40250330 is divided by 646.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46809306691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 less than -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2117.\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 57\/2, 1\/3, -20, -2\/25?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 + a - 1. Let p be d(5). Let y(m) = -m**2 + 6*m - 6. Let k be y(p). Let -1 - j**k - j**3 + 2*j**3 - j + 2*j**2 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 72. Suppose 115 = 4*w + 99. Suppose 436 = 3*y - r + 3*r, -w*r + 152 = y. Calculate the highest common factor of j and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 13 + 163*l**2 - 13 + 154*l**2)*(5*l - 4*l - 2*l).\nAnswer: -317*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 229 + 313. List the prime factors of b.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.2 times 4?\nAnswer: 1420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -989 (c) 0.3 (d) 3\/2 (e) 1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3211)\/76)\/((-1)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09222 + 0.90771. Let b = 0.1 + 0.9. Let c = b - a. What is c rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 20*k + 220 + 19*k - 22*k - 32. Let f be z(-11). What is the greatest common divisor of 64 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29191379 times 0.13\nAnswer: -3794879.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 70*s - 1. Let t(h) = -23*h. Let r(j) = -6*a(j) - 17*t(j). Does 25 divide r(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135666 and 5758268?\nAnswer: 51824412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 3:27 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5861, 5, 0 in increasing order.\nAnswer: -5861, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/20 - 43\/60. Let n = -10.5 - -0.7. Let y = n - -10. Which is the closest to -0.1? (a) -1 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -8123.\nAnswer: -40615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4223535 divided by 13\nAnswer: 4223535\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10112010111 (base 3) to base 6\nAnswer: 1253021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:01 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42513677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1558.7382 rounded to the nearest 10?\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 500 = -95. Let z = t + -81. Solve -q - z*u = 19, 4*q = -0*u + 5*u + 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1925556 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m + 11. Let i be d(-5). Suppose -19 = -6*j + i. Suppose j = -u + 136. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 - 44 + 16*f)*(-4*f + 4*f - f**3) - f**4 + 43 + 0*f**4 - 51 - f**3 as l*f**4 + p*f + a*f**3 + d + x*f**2 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 49*k + 3. Calculate the remainder when s(6) is divided by ((6 - 12) + 5)*(-27 - -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -45.5. Suppose -5*s + 2 = -3*w + 14, 2*w - 2*s = 8. Let m = w - 25\/7. What is the smallest value in -3, x, -3\/2, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 481\/(-148))\/(2\/8)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1153554*n**4 - 155*n - 2250.\nAnswer: 13842648*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -6*(-4)\/6. Suppose -16 = -5*z + a, f*a = 3*z - 0*a - 13. Suppose 1 - z = -t. Solve t*h + 4*s = 3*h + 4, 14 = 3*h + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-85))\/((-1)\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-19)\/1235*-13\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2299) + (sqrt(2299)*2 + sqrt(2299))**2) - sqrt(152)\/(sqrt(8) - -1*sqrt(288)).\nAnswer: -20691 - 78*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11322039 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 117.\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*6\/(-20)*25\/(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h = w - 74, -302 = -4*h - 2*w. Let n = h + -75. Solve -3*v + n = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (21 - 34) + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.05, -0.3, 0.4, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d + 0*d**2 - d - d**2 - 3. Let l be t(-4). Suppose 0 = 16*h - 5 - 43. Solve l*j - 4*q - 7 = -2, -h*q = -2*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.55 or 1\/136?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:17 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 44084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3201*c**5 + 40259*c wrt c.\nAnswer: 64020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n + 34*n - 275 = 0. Let q(l) = 51*l - 112. What is the units digit of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8960*x = 8957*x + 5*i + 24, -10 = 2*x + i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/135*3*81\/(-13662)*33?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 42. Let d = 27 + r. Suppose -114 = 2*a - d*a. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2737*w**2 - 1560*w + 668\/3 - 49\/3*w**3.\nAnswer: -(w - 167)*(7*w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162374.\nAnswer: 2, 19, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8824, 14830, 20842, 26860?\nAnswer: 32884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1530 - 13810\/9. Let x(v) = v**2 - 4*v - 2. Let i(r) = r**2 + 10*r + 12. Let a be i(-9). Let u be x(a). Which is greater: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 15020?\nAnswer: 165220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 412\/(-7416)*(-12)\/(-15)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*c**3 - 32 - 7*c + 56 - c + c - 25.\nAnswer: 338*c**3 - 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 843 + 958. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140216 and 3400?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 353177*j - 353205*j - 196 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(7*5\/(-455))\/((-3)\/(-3))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(275) + -1 + sqrt(275) + -4 + (sqrt(275) - -2*sqrt(275))*6 + -2))**2.\nAnswer: -50400*sqrt(11) + 3961764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 6*n**2 + 11*n + 16. What is y(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -27*y. Let u(k) = 5366811*k - 2. Give u(x(b)).\nAnswer: -144903897*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*p = 0. Let o be p\/(-7) - (5 - 2). Sort o, -7, -4 in descending order.\nAnswer: o, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -40*f - 9. Let y be a(-5). Let z = 200 - y. What is the smallest common multiple of 19 and z?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255836.\nAnswer: 2, 7, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 114 = -b. Let k = b - -416\/11. What is the smallest value in k, 2\/13, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q + 4. Suppose -5*n + 10 = -4*u - 10, -n = u - 13. Let a = n - q. Solve 3*r = j + 14, -3*j + a*r - 2 = 3*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175296 or -110?\nAnswer: 175296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*p + 2103 = -871 - 4293 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t - 8. Let p(s) = s**t + 1 + s + 2 - 1. Let x = -14 - -10. Let q(d) = -d**2 - d - 1. What is x*q(g) - 3*p(g)?\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 74 (b) -0.3 (c) 8 (d) -0.69 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(66)*2*-4)\/(sqrt(864)*-1 + sqrt(864) - 1*(sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6)))*5)**2.\nAnswer: 17600\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/52 + (2 - 1\/2). Solve 5*o = 3*x - 8*x, 2*o + 15 = t*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**2 - 4*y - 44. Let q be (-3)\/((-9)\/2)*-3. Let a(i) = -i - 3. Suppose t - 2 = 1. What is q*g(d) + t*a(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -128510395 divided by 1235\nAnswer: -104057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 78 = 10*m + i - 9*i - 0*i, 55 = 5*m - 5*i for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2111845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -eb43 - a?\nAnswer: -eb4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.819538 millilitres?\nAnswer: 0.004819538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7169105 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b = -39. Let m = 41 + b. Let p = m - 17. Calculate the greatest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 19 + 13)*(-q + q + 2*q + (5 + 1 - 1)*(5*q - 4*q - 4*q)).\nAnswer: 429*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, 47, 260, 689, 1406, 2483, 3992, 6005?\n\"Answer: 12*k**3 - 15*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-8\/7)*b*b)\/b**(1\/3))**(-34) assuming b is positive.\nAnswer: b**(-374\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/23 - 39324*s\/23 - 17103130\/23 = 0.\nAnswer: -19217, -445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = 0, -z = -4*d + 3*z + 4. Let n(w) = -w**3 - 5*w**2 - 3*w + 4. Let g be n(d). Let t(i) = -i**2 - 9*i + 2. Is t(g) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + f**2 + f + 1. Let j(k) = 43*k**3 - 2*k**2 - 2*k - 2. Calculate -j(x) - 2*u(x).\nAnswer: -41*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16252.37418 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2.71184\nAnswer: 0.542368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 11 - 1. Suppose -6*n + n - 4*h + 31 = 0, 0 = 3*n - h - i. Let x(q) = 2*q - 2. Let o be x(n). Put -7, o, -3 in increasing order.\nAnswer: -7, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*a + 15*a - 35. Suppose -l = -1 - 2. Let m(h) = 3*h**3 - 4*h**l - 4*h + 0*h - 7*h**2 - 2 + 3*h. Calculate m(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, 22, 1, 33 in ascending order.\nAnswer: -1, 1, 4, 5, 22, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1677 and 47164.85.\nAnswer: 45487.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-30)\/((r*r**(-2\/47))\/r*r) assuming r is positive.\nAnswer: r**(-1455\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y - 1793 + y**2 - 13*y - 16*y + 11*y.\nAnswer: y**2 - 1793","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/5))**(-45))**23*(a\/(a\/(a\/a**(-1)))*a*a*a)**(-2)*a**(-1\/6)*a*a\/(a*a**(-8))*a*a assuming a is positive.\nAnswer: a**(-1237\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*r - 54. Let i = 8 - -3. Let y = i + 55. What is the highest common factor of r and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770216 is divided by 48?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3*(214 - -5). Let n = 45 + m. Let u = n - -29. Solve 2*d = u - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 21*h**2 - 49*h + 7. Give t(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + 19*l**2 - 14*l - 2. What is y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t - 3*t + 7 - 49*t**3 + 51*t**3 - 6 - 2*t**2 in the form j + i*t + b*t**2 + f*t**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -59*d + 4531. What is the tens digit of t(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 3, j: 2, p: 6}. Give prob of picking 1 y and 1 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*j + 565 + 295 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155241893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 22. Let m = -52 + 61. What is the remainder when b(12) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-12)*9\/(-8)*2380\/(-41055)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**5\/5 + 587758*w**4\/5 + 4701848*w**3\/5 - 25860552*w**2\/5 + 28211616*w\/5 = 0. What is w?\nAnswer: -293871, -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568 = -335*u - 2452 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) -4\/5 (c) 2 (d) -998\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 885745*p**3 - 2*p**2*t + 7*t - 59827 wrt p.\nAnswer: 2657235*p**2 - 4*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5 = 2*f, 0*f + 5*f = 3*u + 19. Let q be (-6)\/(-9) + (-20)\/27. Is q at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - 1. Let i(v) = 2*v**2 + 16*v + 3. What is i(y) + 5*w(y)?\nAnswer: 2*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10 + 11*n - 3*n**2 - 2 + n**2. Let a be z(9). Let j = 79 + a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) + 1386\/396. Which is the closest to -85? (a) f (b) 3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3504 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/4 + l**4\/6 + l**3\/6 + l**2 - 2*l. Let i be d(2). Let k = i - -60. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1478*i - 567*i + 2 - 664*i)*(0*i**2 - 3*i**2 + 4*i**2).\nAnswer: 247*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 7.3. Suppose -3*y - 8 = 2*m + 2*m, 0 = -2*y + 5*m + 10. Let l be y\/1 + ((-57)\/(-6))\/19. Sort l, 0.12, x.\nAnswer: x, 0.12, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2 + b - 14*b - 3*b**2 + 2*b**2. Let n be z(-12). Suppose 3*g - 3 = 4*t - 1, -5*g = -5*t - n. What is the highest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**5*z - 24*b**3*z**2 - 2*b**3 + 4*b*z**2 + 27*z**2 - 2*z + 6 wrt b.\nAnswer: 60*b**3*z - 144*b*z**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9.06. Let k = -0.074 - -49.074. Let m = -50 + k. Is x not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 15 (c) -5 (d) 8 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131424 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 1:42 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r + 83*r = 3*f - 8, -56 = -5*f - 4*r. What is the highest common divisor of f and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/22 - -68\/77. What is the common denominator of 123\/10 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 94050300, 188100600, 282150900, 376201200?\n\"Answer: 94050300*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1772 and 5055519544?\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49147 is divided by 947.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*v + 21*v + 52*v)*(41 - 41 - v**2) + 1 - v**3 - 1.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14558 less than -0.907453973?\nAnswer: -14558.907453973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63252459 and 7028051?\nAnswer: 63252459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7653 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 3) to base 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1769432.5 and 802.\nAnswer: -1768630.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = 2*i - 84, -3*i - 94 = -5*x. What is the smallest common multiple of 6 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 7455 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 1. Let r(q) = 3*q**2 - 4. Let y(g) = 6*n(g) - r(g). What are the prime factors of y(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Suppose -37*v = 136*v - 2*v + 513. Which is the third smallest value? (a) o (b) v (c) -0.3 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -207, -470, -849, -1350?\nAnswer: -1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*d - 16. Let m(s) = s + 4. Let j be m(5). Let i = j + d. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 138712 - 21798. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.27829 times 17\nAnswer: -293.73093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - v**2 + (v + v**2 - v)*(-1 - 3 + 3) + (-2 + 4 - 1)*(0*v**2 + 4*v**2 + 0*v**2).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11097412, -22194801, -33292190, -44389579, -55486968?\nAnswer: -66584357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 - -77 - (0 - 0 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160870653 a multiple of 927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*s - 21, -11 - 12 = w + 4*s. Let r(t) = 2*t**2 - 5*t**2 + t - t**3 + 0*t**3. Calculate r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:01 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**2\/4 + 605*p\/2 - 6125\/4 = 0. Calculate p.\nAnswer: -1225\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -0*g. Let x = g - -4. List the prime factors of x\/(-14) - (-505)\/35.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 488*j**2 + 1782 + 6199*j**4 - 6200*j**4 + 79*j**2 + 57*j**3 + 1755*j = 0?\nAnswer: -3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 11*k - 19. Calculate u(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85217 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 298371 * -3.95.\nAnswer: -1178565.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14755323 is divided by 1799?\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - 3089\/20. Let i = -5396\/3 + 32321\/18. Find the common denominator of i and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*q - 16 = 0, -4*m + 12*q + 12 = 9*q. Solve m = -2*k + a, -5*a + 3*a - 1 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0967557ml to litres.\nAnswer: 0.0000967557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 32. Let g be y(0). Let x be (-1 + g\/(-12))*9. Solve -x = -h + 3*l, -2*h - 10 = -0*l + 4*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcz when three letters picked without replacement from czcfccchhpchccfccccc?\nAnswer: 13\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 772*l**2 - 774*l**2 + 0 + 0*l - 4*l**4 - 3*l + 1 in the form g*l**2 + t + u*l + z*l**3 + f*l**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l, 2*q - 4 = -0*q + 4*l. Suppose q = c - 3*o - 3717, 1874 = c + o - 1847. What is c rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8648.7642ms to days.\nAnswer: 0.0001001014375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:25 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/((-1)\/(-3)). Let c(q) = -m*q + q + 5 - 2. Is 2 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 2*x + 3*x + 6*x + 0*x - 3*x + (-2*x + 5 - 5)*(-3 + 3 - 1) + 225 + 99 + 25 + 14 - 2*x.\nAnswer: 4*x + 363","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011010000100 (base 2) to base 13.\nAnswer: 1289c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 5*k**2 - 4*k + 14. Let w be u(-6). Let x(a) = 2972 - a + a**w + a**3 - 2972. Let v(n) = 4*n**3 + 3*n**2 - 3*n - 3. Calculate -v(j) + 3*x(j).\nAnswer: -j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h - 28. Let r(f) = 3002*f. Determine r(i(m)).\nAnswer: -30020*m - 84056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15533173351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 358 + 55)*(-2*s + 2*s - s) to the form o*s + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401.339 + -0.661. Let q = 401.4 + c. Is q at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36964 - 36964 - 161*c)*(-16 + 16 - 2*c**3)*(-c + c + c).\nAnswer: 322*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Suppose -3 - 9 = m*x. Let c = -3 - x. Solve c*a + 4*t = -4*a - 28, 2*a = 2*t - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = q + 114, -9*q + 8*q = 5*m - 278. What is the highest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25306076153*t**2 + 72 - 72 + 25306076162*t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 2*i**3 - 3*i**3 + 0*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = 5*x - 1105, x - 245 = -4*h. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1314444 (base 5) to base 10.\nAnswer: -26249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106737 - 635047\/6. Let h = -905 + r. Let f = 2\/241 + -12299\/964. Calculate the common denominator of h and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48323571*m - 11*p = -48323567*m + 370, -170 = 5*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 674*m**3*o + 292*m**3 wrt o?\nAnswer: 674*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8)**(-27) assuming r is positive.\nAnswer: r**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21531943 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-6*(20\/(-45))\/(20\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 12:26 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 525.32 decades?\nAnswer: 5.2532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((5 + (-2*sqrt(704) - sqrt(704)))**2 + -1) - (sqrt(121) + -4*(sqrt(121)*-3 - sqrt(121)))\/(1*sqrt(539)).\nAnswer: -31800 + 8383*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647636 is divided by 92492.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-58190)\/7360)\/(-253) + (-47)\/(-544)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/5)\/((-6)\/(-12)))\/((-42)\/63)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let q(f) = f**2 - 1. Let l(b) = -b**2 + 4. Let w(s) = -l(s) - 4*q(s). Determine w(x(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*u + 56, -2*w + 2*u + 10 = -0*w. Is 12 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14133160 divided by -5\nAnswer: 2826632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let q(d) = -4*d**2 - 9*d + 9. Let k(i) = i**2 + 2*i - 2. Let a(r) = 9*k(r) + 2*q(r). Give a(b(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40333 is divided by 17923.\nAnswer: 4487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986624581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9 - -4 - 18\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75591 and -5?\nAnswer: -377955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.47764um in kilometers?\nAnswer: 0.00000005347764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*u*z - 14*k*z**2 - 35*u*z**2 + 2*u*z - 28*z wrt z.\nAnswer: -28*k - 70*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from {y: 1, c: 1, f: 8, a: 2, h: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60\/11, 31, -3.43, -0.5, -1\/4 in ascending order.\nAnswer: -60\/11, -3.43, -0.5, -1\/4, 31","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b = 73*b - 46 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 0*a - 8*a + (-a + 0*a - a)*(7 - 2 - 3) - 4*a + 3*a + 0*a + (-2 + 0 + 1)*(6*a - 8*a - 3*a) to c + i*a and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 379 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 45 = -6. Let l = 5 - 1. Let n(s) = s**3 - 4*s**2 + 2. Let o be n(l). Solve -o*b - 9 - 10 = -3*v, -3*v + x = b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-861)\/(-123) - (1 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 32*u**4 + 102*u**3 + 94*u**2 + 18*u - 6. Let o(h) = -64*h**4 - 205*h**3 - 189*h**2 - 37*h + 11. Let x(f) = 11*g(f) + 6*o(f). Factor x(l).\nAnswer: -4*l*(l + 1)*(l + 2)*(8*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**5 - 7538*l**4 + 7113972*l**3 - 21266596*l**2 - 7113974*l + 21274134 = 0.\nAnswer: -1, 1, 3, 1883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865670 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48623623 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/59 + -104\/413. What is the nearest to 2\/5 in 1\/4, -2, -3, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 3*h + 4. Suppose 5*f + 26 = 61. Let z = -10 + f. What is the units digit of x(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 214*(1\/2)\/1. Suppose -3*k + 12 = 0, 3*k - 52 = s - 146. Is p greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 71*t + 142. Determine v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 5*r**2 - 3*r**2 - r. Let s(f) = -85*f**2 + 242*f**2 - 73*f**2 - 82*f**2. Give j(s(g)).\nAnswer: -28*g**4 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3123 (base 5) to base 12.\nAnswer: 2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*r**2 - 50*r**2 - 52*r**2 + 2*r**3 - 51*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12, 33, 68, 117, 180, 257, 348?\n\"Answer: 7*m**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30755858.\nAnswer: 2, 7, 331, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*h**2 - 2292*h + 1148.\nAnswer: -4*(h + 287)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -105*m - 2196. Give q(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 60*l**4 - 117*l**3 - 58*l**2.\nAnswer: -l**2*(l + 1)**2*(l + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 3*d**2 - 5*d**2 + (-2*d**2 + 6*d**2 - 2*d**2)*(4 - 2 - 1))*(-65*d**3 - 155*d**3 - 79*d**3).\nAnswer: -299*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 - 6*w**2 + 11*w. Let q(p) = 4*p**3 - 4*p**2 + 4*p - 3*p**2 - 3*p**3 + 5*p**2. Determine -3*i(z) + 8*q(z).\nAnswer: -z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqqqqrq. Give prob of picking 2 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 + (-5552)\/(-44). Suppose 26 = -2*v + n. Let a = -158 - -163. Solve -2*j - 35 = -5*c, 2*j + v = a*c - 3*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**2)**6*(w**(3\/13)*w)\/(w*w**0) assuming w is positive.\nAnswer: w**(-75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3)*(-36)\/6. Solve -b = f - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/9 + 320*l\/3 - 3808\/9 = 0 for l.\nAnswer: 4, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 466947.2279 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/105 or 0?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*m**2 + 11 - 4*m**2 - 29.\nAnswer: -47*m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 23. Let s be 4\/10 - ((-770)\/(-50) + -8). Calculate h(s).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than or equal to 226627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-4 + sqrt(3) - (sqrt(33)*2 - sqrt(33))\/sqrt(11)) + sqrt(12)\/sqrt(4)*-6 + 5)**2.\nAnswer: -180*sqrt(3) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 81. Let a = -30 - j. Find the third derivative of -31*i**3 - 2*i**2 - a*i**2 - 11*i**2 wrt i.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y - 52. Let g = y - 20. Let k(i) = -128*i - 19. Is k(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1202\/5 + 243. What is the closest to i in -3, 4, 2\/15, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**5 - 2*r**5 - r**5)*(0 + 3 - 1).\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 1902 - 1902 + l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 - 259*v + 1518 = 0. Calculate v.\nAnswer: 6, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (sqrt(1404)*2 - sqrt(39)) + sqrt(1404)*-2 + sqrt(1404))\/(sqrt(36)\/sqrt(3) - sqrt(12) - (sqrt(3) - (sqrt(3) + sqrt(12)\/sqrt(4)))*5).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v**2 - 7*v**2 + 12*v**2 + (2*v**2 - 3*v**2 + 2*v**2)*(3 - 5 + 1) + v - 2*v**2 - v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 3*x + 16.\nAnswer: -3*x + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**3 - 10*f**3 + 2*f + 2*f**2 - f**4 + 16*f**3 as h*f**2 + d*f + b*f**4 + i + z*f**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -0*t - 4*t. Let d = t - 28. Let z(b) = 54*b**2 + b - 1. Is 8 a factor of z(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/5)\/(t**(-1\/3)\/t)*((t\/(t*t\/(t*t*t\/t**3)))\/t)\/t**(-1))**(-3))**(-42\/5) assuming t is positive.\nAnswer: t**(588\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122015\/4 > 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:48 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x**5 - 1200*x**4 - 5049*x**3 + 8664*x**2 + 12039*x + 2394 = 0. Calculate x.\nAnswer: -19, -7, -3\/4, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4544, 5, 2, -7 in descending order.\nAnswer: 4544, 5, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 55*i + 124*i - 62*i)*(-67 - 187 + 484) to the form t + u*i and give u.\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4*v = 3*w - 10, v + 29 = 4*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**3 + 138872*h**2 - 1189210544*h - 280913421920 = 0.\nAnswer: -230, 17474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (4 - 17 - (-1 + -6))) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -13915745312542?\nAnswer: 13915745312537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 453, 504, 551, 594, 633?\n\"Answer: -2*l**2 + 57*l + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m + 15. Let v(z) = z**3 + 6*z**2 - z + 1. Let s be v(-6). Let r = m + s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*l + 19 = 8*a, 5 = -5*a - 5*l. Suppose -d - w + a = 0, -7*w = -2*d - 3*w - 2. What is the lowest common multiple of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146936727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792912 is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -15. Suppose -1122 = -d*q - 3*h, 3*h + 903 = 7*q - 3*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 6*p + 3*n + 271800, -4*p + 362355 = 5*n. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0, 0.2, 31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29\/134 + 5291\/938. Let g = s - 437\/77. Which is the third smallest value? (a) g (b) 1\/4 (c) -0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213 - 209 - (-39 + -4 - -7 - -5 - -4)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d, -20 = 3*s + 4*d + 5. Let t = s + 21. What is the greatest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b - 24. Give s(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623293123 to the power of 1\/3, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6837.857087 - -0.057087. Round d to the nearest 10.\nAnswer: -6840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let x(w) be the second derivative of -11*w**6\/360 - 4*w**3\/3 - 2*w**2 + 11*w + 4. Let n(h) be the second derivative of x(h). Determine n(b(y)).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 5. Let g(s) = -1. What is 3*g(v) - k(v)?\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 63049.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/35 - (1444212\/300965)\/6. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + -1)\/(2 - 4). Solve -k*t + 4*i = -8*t - 17, t - 8 = 3*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 79*p**2 + 752*p - 231. Let a be g(68). Solve a*d = -167 + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8318+5\nAnswer: -8313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5773*-3.\nAnswer: 17319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 4?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 - (-20)\/6. Suppose -25 - 14 = -b*z. Calculate the remainder when 25 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (87*m - 181*m + 83*m + (m - 3*m + 3*m)*(-2 + 0 + 3) - 2*m - 2*m + 5*m)*(23*m**2 + 152*m**2 + 2*m**2) in the form j*m**3 + z*m + h + o*m**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -11 + 0 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1543*x**2 + 2*x - 2*x.\nAnswer: 1543*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12528 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3000 + -2005. Suppose -27*q + m = -22*q. List the prime factors of q.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 54, 81?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 14. Suppose 11*f - t = 8*f. Solve -5*v**3 - f*v**3 - 4*v**2 + 3*v**3 - 4*v**2 - 4*v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -271, -417, -579, -763, -975, -1221?\nAnswer: -1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c**3 - 4*c**2 + c + 3. What is the tens digit of r(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14 and 14165.4?\nAnswer: 14151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25986.\nAnswer: 2, 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 138. Let u be s(19). Is -82 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 take away 28093794375.5?\nAnswer: -28093794375.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from feexfdeeeggggxegee.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*k = -12 + 37, 5*k + 10 = i. Suppose 0 = q - 4*j + i, 3*q - 10 = q - 2*j. Let s be 2 + -3 + (-12)\/10. What is the biggest value in s, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -0.3. Let c = 7 - 7.1. What is the second biggest value in c, -3, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 0)\/((-4)\/(-124)). Let x = r - 75. What is the third derivative of x*w**2 + 126*w - 30*w**5 - 126*w wrt w?\nAnswer: -1800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 54 = 8*r. Let p(l) = 2*l - 13. Let s be p(r). Suppose 7 = s*i - 8. Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 8*q + 10. Let w be c(-5). Suppose 4*i - 5*u - 29 = w, i + 4*u = -0*i - 19. What is the greatest common factor of 43 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-4)\/1 + 8. Suppose 0 = 2*g + 2, -2*s + u*g + 750 = -2*g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttrtttrtrtt. Give prob of sequence rt.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13\/1903 - -2\/2595. What is the second biggest value in c, 2\/5, -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 16)\/1*26\/(-65). Let c(s) = 3*s - 3 + 2 - 2*s. Calculate c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3742*u + 1359*u + 1325*u)*(-44 - 53 + 9 + (5 - 4 - 3)*(0 + 1 + 1)) in the form v + h*u and give h.\nAnswer: 97336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 7148375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*2\/15 - (-28)\/15. Let f(y) = -475*y + y**r + 475*y + 1. Let q(a) = 10*a**2 + 5. Determine -5*f(b) + q(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-37)*n*n**(-10\/11)*n*n\/(n**(-31)*n)*n**(-31) assuming n is positive.\nAnswer: n**(441\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13791049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687833819.\nAnswer: 3, 7, 3229, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26\/677 + -67909\/12186. Let a = 971\/18 - 152\/3. What is the common denominator of h and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(1193\/(-229056)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a**2 + 11*a**2 + 51360*a**4 - 5 - 1331*a**4 + 5)*(-1 + 0 - 3).\nAnswer: -200116*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -2.014451.\nAnswer: -3.014451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 smaller than -7209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 2 + 2)*(y + y - y) + (-5*y - 6*y + 2*y)*(43*y + 69*y + 41*y) as z + a*y**2 + x*y and give a.\nAnswer: -1375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 366 - 404.4. Let q = -38.5 - g. Let o = 1 - 5. What is the closest to -1 in 11\/4, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 14. Let i be r(7). Let k = 45 + i. Is 4 a factor of ((-2)\/(-11) - (-68)\/110)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 0*s - 2*s**2)*(-10*s**2 + 5*s**2 + 12*s**2)*(-108 - 110 - 53) as l*s + z + d*s**3 + k*s**2 + x*s**4 and give x.\nAnswer: 3794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 17. Let z(s) = 2*s - 2. What is the smallest common multiple of z(n) and (-2)\/(-18) + 1184\/36 + 2?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 + 180095680.\nAnswer: 180095721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/240 - n**5\/120 - n**4\/4 - n**2. Let s(x) be the second derivative of w(x). Determine s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-12) + (4 - 0).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from hsnhhhhnhhnnhnnhhhn?\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4421\/798 + 29\/114. Let g = -34\/7 - t. Let c = 0.174 - 2.174. Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7*n = 6*n - 7, -3*l = 2*n + 9. Let k(w) = -2*w**2 + 3*w. Let s be 3\/(3\/2) - -1. Let x(v) = -3*v**2 + 5*v. What is l*k(p) + s*x(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 + 35*y**2 + 201*y + 30. Determine b(16).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24440, -24427, -24388, -24311, -24184, -23995, -23732?\n\"Answer: 2*d**3 + d**2 - 4*d - 24439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/7 + 11*p**4\/7 - 66*p**3\/7 - 485*p**2\/7 - 650*p\/7 = 0. What is p?\nAnswer: -5, -2, 0, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*g - 15. Let a be 2\/(14\/g + 4). Let c(w) = -w**2 + w. Let h be c(1). Sort a, h, -2 in ascending order.\nAnswer: -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.9. Let y(f) = -f**2 + 13*f + 16. Let x be y(14). Suppose 9 = x*m + 3. Which is the nearest to q? (a) 2\/7 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 + 1372321*p**3*w**2 + 274*p*w**2 + 445*p wrt p?\nAnswer: 12*p**2 + 8233926*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 33329*r + 6. Let f be c(6). Suppose -3*d = 5*s + 2*d - f, 0 = s - 3*d - 40012. What is s rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 429, 1059, 2055, 3483, 5409, 7899?\nAnswer: 11019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r - 2. Let s be a(0). Let v be (-159)\/s + 7\/14. Calculate the highest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3906\/(-465)*1*30\/(-63)*-7\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.229 and -0.064318.\nAnswer: 3.164682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983126.\nAnswer: 2, 379, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = 0, -5*x = 2*s - 5054 + 1185. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/41)\/((-9)\/(-36)*-4). What is q in 0*q + 0 + j*q**4 + 2\/7*q**5 - 6\/7*q**3 + 4\/7*q**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 48*u + 27. Let b(h) = -7*h - 4. Let s(j) = -27*b(j) - 4*q(j). Let a(y) = -y. Let v(w) = -7*a(w) + 3*s(w). Let z(n) = -100*n**2. Give z(v(t)).\nAnswer: -400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59776 + -45429751\/760. What is the common denominator of u and -127\/24?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5066032 divided by -2096\nAnswer: 2417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 541\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 209.83*-11.16\nAnswer: -2341.7028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4506 is divided by 784.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 1\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 39*h**5\/140 - 3*h**4\/4 - 5*h**3 + 72*h**2\/7 + 2324*h - 1. Suppose i(a) = 0. Calculate a.\nAnswer: -2, 8\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g - 20. Let v be z(-6). Solve 6*p - 4*p + n - 2 = 0, -v*p = n - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h - 5. Suppose 2*t - t = i - 4, -5*i = t - 26. Suppose -5 = 2*z - 5*q, 4*q = -i*z - 0*q + 4. Give l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16630 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31780, 31762, 31710, 31612, 31456, 31230, 30922?\nAnswer: 30520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - ((-5)\/(-10))\/((-3)\/(-6)). Suppose 6*c - 122 = 28. What is the greatest common factor of g and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 6 + 2\/2. Let x be i*((-31)\/16 + 2). Let d(y) = y**2 - 2*y + 1. Let j be d(2). Is x at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 3. Let r(v) = -2*v - 18. Let b be r(-10). Suppose -2 = -3*u - 4*j + 8, b*j = -2*u + n. Let c(t) = -t**3 - 3*t - 2. Calculate c(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 199 + 1785 = 0. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnp when three letters picked without replacement from rvqqpnnevqnnqvn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -426670*c*o*y - 2*c*o - 108017*c wrt y.\nAnswer: -426670*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -44885 in decreasing order.\nAnswer: 5, 4, -44885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 149616 less than or equal to 149616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 1806*g**5 + 18272*g**4 + 23798*g**3 - 127428*g**2 - 15192*g - 432 = 0?\nAnswer: -6, -3\/43, -1\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6449\/6 + -1062. What is the common denominator of b and (-93)\/(-62)*(2\/2)\/(9\/(-255))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -18, 3, 58, 159?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 1975?\nAnswer: 1974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 11*j - 17. Suppose 0 = 7*h - 49 - 0. Let a be z(h). Let t(o) = -5*o**2 + 4. Let f(l) = 5*l**2 - 8 - 3 + 9*l**2. Give a*t(i) + 4*f(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1134\/(-126) - (-1010)\/(-10).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*a*u + 6311*a - 15*u wrt u?\nAnswer: 29*a - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/8 + 111\/2. Is 27 a factor of w - 1 - 0\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 7 - 20. Let u = 44 + d. Let o(s) = -8 + u + s**2 - 16. Let b(p) = -1. Give 14*b(a) + 2*o(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/12*(-18)\/(-2). Let k(j) = j**3 - 6*j**2 - j - 5. Give k(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5584 = 4*d - 13*d + 16015. Calculate the greatest common divisor of d and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8253 - -8257. Solve m + 4*n + 10 = 0, d*m - m = -3*n - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 0 - (-24 - (3 - 30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566334062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 2*m + 2*m - 2 + 2 + 6*m + (m - m + 2*m)*(-1 + 1 - 1) + m + 4 - 4 as n*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = s - 6*s. Find the third derivative of 3*u**s - 6*u + 6*u**3 + 7*u - u wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444470?\nAnswer: 2, 3, 5, 89, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13.52516 weeks?\nAnswer: 2272.22688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/12 + 5*u**3\/6 + 3*u**2\/2 + 12*u. Let h be i(-2). Let m(n) = 7*n**2 + n + 3. List the prime factors of m(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3 - 9, 34 = -o - 5*t. Does 10 divide o\/(-3)*(-90)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23363520\/11 (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*f + 34, 66*f + 95*f = 147*f - 5*w + 110 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 18 = -11*r. Let g = -431 - -3027\/7. Factor 2\/7*u**4 - g*u**3 + 12\/7*u**r - 16\/7 + 8\/7*u.\nAnswer: 2*(u - 2)**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)\/(l*((l\/((l**(-2\/5)*l)\/l))\/l)\/l)*(l\/l**(-3\/2))\/l*l**(-7)\/l)**17)**(-1\/13) assuming l is positive.\nAnswer: l**(8551\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1931 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2115.990982474318 - 0.009133625682. Let s = 2116 + t. Round s to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(243) + 0 + sqrt(243) + 3))**2 + 3 - ((-4 + (sqrt(243) - sqrt(243)*1 - sqrt(243)))**2 + sqrt(48)*4 + -1*sqrt(3) + 5).\nAnswer: 885*sqrt(3) + 8568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -4*x**4\/3 + 9144*x**2. Let r(i) be the third derivative of -7*i**5\/30 - 5*i**2. What is o(r(w))?\nAnswer: 448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*l = 254*l - 32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1531*u - 74911. Give w(-49).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 153208\/(-20) - 2\/(-5). Let f be ((-18)\/(-12))\/(3\/u). Let m be (-4)\/(-22) + f\/(-110). What is the highest common factor of 14 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21192\/11 equal to 1927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 212557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x - 1. Suppose 5*n - 53 = 2*f, 3*n - 34 = -f - 0*f. Let z(g) = 7*g - 6. Let t(q) = -35*q + 31. Let s(w) = n*z(w) + x*t(w). Give s(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t + 2*z - 43806, -t = 5*z - 21915. What is t rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2*u**7\/7 - 41*u**4\/2 + 19*u**3 - 2*u - 150. What is the third derivative of n(b) wrt b?\nAnswer: -240*b**3 - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 95 - 419. Let f = g + 143. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -191553, -383107, -574663, -766221, -957781?\n\"Answer: -g**2 - 191551*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-400)\/(-12) + 2\/3. Suppose 13*i + m - 99 = 0. Which is bigger: i or 72\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/582 and -49\/18.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l - 2*p + 18, -3*p = 3*l - 42. Suppose -j = 4*j - l. Find the second derivative of 9*y**2 + 2 - 2 + y**j + 10*y wrt y.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**4\/6 - r**3\/6 + 6*r**2. Let p(k) = 9*k + 1. What is 7*n(f) + 3*p(f)?\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.025 and 2.08?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6fb + 5?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57719527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122303826 to the nearest integer?\nAnswer: 11059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfm when three letters picked without replacement from qfadffcmaaaadma.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = -3*w, 46*f = 47*f + 1. Let z = 7 + -2. Let n(h) = -5*h**2 - z*h**2 + w*h**2. Let l(v) = 8*v**2. Determine l(n(c)).\nAnswer: 128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 8:58 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -1496)\/(-42) + 49?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/30 + 3*x**2\/5 + 13*x\/10 + 223. What is q in j(q) = 0?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497699 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 0.5, 0.3, -3 in descending order.\nAnswer: 0.5, 0.3, 0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12212879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -3 (b) 2 (c) 2\/13 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/2)\/((-57)\/304). Let c be (2 + -4)\/((-6)\/36). What is the highest common factor of p and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(((f**(1\/2)*f*f)\/f)\/f*f))*f)**(5\/8)*(f\/((f*f\/(f\/(f**2\/f)))\/f))**(-26) assuming f is positive.\nAnswer: f**(35\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2))\/((-51)\/(-4)). Let r = -1526 - -1526. Determine o so that -n*o**2 - 6\/17*o**3 + r - 2\/17*o - 2\/17*o**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.5872261 and -9.\nAnswer: 20.5872261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 0*a = -3, -4*a = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18130, -1430 in descending order.\nAnswer: 1, -1430, -18130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 2*q - 90. Let d(p) = -4*p - 209. What is x(d(v))?\nAnswer: -16*v**2 - 1664*v - 43353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116892578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/9*(9\/(-3) - -27). Suppose -p = -7*w - 60. What is the remainder when 80 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-4))\/(59\/(6608\/280))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1001324314 (base 6) to base 4\nAnswer: 212232111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68445396 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: Two letters picked without replacement from {w: 3, s: 4, b: 1, j: 1, m: 2, u: 1}. Give prob of sequence ws.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Suppose 4*x + 0*x = a. Suppose 5*l + 25 = x, -4*b - 2*l = 2*l + 8. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 2*p + 0*p)*(2 + 1 - 1) + (3 - 8 - 1)*(-2*p + p + 4*p) to d + n*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -25. What is the lowest common multiple of 75 and n?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfr when three letters picked without replacement from zrfryrrtrz.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/39)\/((-15)\/(-9))*205\/((-2788)\/(-68))?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 13) to base 12\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685450981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) + (-664)\/5. Let a = k - -267. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3996, 4543, 5088, 5631, 6172?\nAnswer: 6711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 9*r - r)*(-1 - 2 + 1)*(-18 - 8 + 15) as h + p*r and give p.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5814*r**2 - 345458*r wrt r.\nAnswer: 11628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 9*c**2 + 22*c - 9. Let r = 104 - 115. Let u be g(r). Let k(i) = i**3 + 11*i**2 + i + 34. Is k(u) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r + 1. Let c = -99 - -104. Give l(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.1, 2, -152\/15, -4\/7, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394 - 586. Calculate the common denominator of 11 and 8\/z*56\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -2010031302?\nAnswer: 2010031313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234)\/(sqrt(36) + sqrt(9)) - sqrt(26)) + sqrt(650)*-4)\/(-2*(sqrt(2)*-1 + sqrt(2)) + sqrt(2) - sqrt(16)\/sqrt(392)).\nAnswer: -217*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.038 (c) 2\/189 (d) -4 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012201211222 (base 3) to base 10.\nAnswer: -1175768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 7*p**4\/24 - 12*p**2. Let d(r) = -2*r. Calculate w(d(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (-27 + 39) - -14\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1445 (b) 1\/6 (c) -21\/17 (d) 0.1 (e) -2\/3 (f) -0.06 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359 minus 2.2?\nAnswer: -1361.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.09321 litres in millilitres?\nAnswer: 40093.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*o + 72 = 147*o. Solve o*a = -2*w + 8, -21*a + 2*w = -26*a + 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-95)*-45 - 894. Which is greater: x or -1823\/2?\nAnswer: -1823\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16336, 32667, 48998, 65329, 81660, 97991?\nAnswer: 114322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.63\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200194 by 200194.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*b**2*d**3*k + 14*b**2*d**2 - 1105*b**2*d*k**3 - 2*b**2*k**3 + 2*b*d**2 - 5128*d**3*k**3 wrt d.\nAnswer: 564*b**2*k - 30768*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -296674.\nAnswer: -3\/148337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 460943 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4 = 2*n - 14, -5*t + 16 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97926, -391845, -881768, -1567701, -2449650?\nAnswer: -3527621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 4*y**6\/5 + 8*y**2 - 22*y. Differentiate w(v) with respect to v.\nAnswer: 96*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + -302?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -j, 0*b + 5*b + j - 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508762 at most 1508762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2\/7 (c) -40 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s - 26. Let k be b(11). Suppose -2*v + 5*d = 2 - 24, 2*d = -v - k. Which is greater: v or 2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**4\/4 + m**2\/2 + m - 1. Let o be 427\/(-183)*3\/7*-1. Let c(g) = -2*g**3 - 4*g**2 - g - 1. What is o*s(y) + c(y)?\nAnswer: -y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/401964 and 155\/912.\nAnswer: 1607856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4002 is divided by 267?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -7540602958?\nAnswer: 7540602958.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 99329362+689.9\nAnswer: 99330051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (4 - (2 + 6)) + 85 + -96 - -22\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.1. Let u = 27\/4 - 6. What is the closest to x in u, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -2\/1229, -7\/37?\nAnswer: -2\/1229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10817 less than -0.2?\nAnswer: -0.09183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137390.\nAnswer: 2, 5, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 368a57 + 29?\nAnswer: 368a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308.44 - 304. Let m = p + -4.4399976. Round m to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3950 - 3935. Solve 2*v + 0*x + x = 3, -r = v - 5*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 830.2 + -791.2. Let y(h) = h - 14. Let a be y(10). Let o be ((-2)\/a)\/(21\/(-6)). Put 0, o, s in increasing order.\nAnswer: o, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3920, 16603, 37738, 67325, 105364, 151855?\n\"Answer: 4226*l**2 + 5*l - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12419\/35 - 2012\/5. Which is greater: y or -49?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + s - 2, -4*g - s = -5*s - 16. Solve 5*u = g*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(144) - sqrt(4)))\/(sqrt(216)*-1).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*l - 3 + 131*l + 132*l.\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g + 4 + 15*g**3 - 10*g wrt g.\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n + 2*n - 5*n - 20 - 3*n**2 + 3*n. Let m(j) = -2*j**2 + 5*j - 13. Let v(r) = 7*m(r) - 5*o(r). Give v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380087165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 17*u + 1818 + 143 = 0. Solve -16*p - 126 = -u*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651 (base 10) in base 6?\nAnswer: 11351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225608 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1212, 2355, 3540, 4785, 6108?\nAnswer: 7527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1007.5 - 1007. Sort c, -3\/10, 2\/5.\nAnswer: -3\/10, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 509*i - 280. Is n(39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543669 is divided by 2219.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285825?\nAnswer: 5, 91433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 10) to base 4\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 513944 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + 5)**2 + sqrt(98) + 0.\nAnswer: 21*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816.96 + -2167436.\nAnswer: -2168252.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166262?\nAnswer: 2, 59, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20674 is divided by 5599?\nAnswer: 3877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 8*s - 5. Let w be i(7). Find the first derivative of 8*q**3 - 2 + q**w - 2*q**2 + q**2 wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -9\/4 (c) -4.2 (d) 2\/13 (e) -0.08 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/18, -10, -2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/60 + 115*i**4\/24 - 113*i**3\/3 + 16*i**2 - 15. Factor n(w).\nAnswer: -(w - 113)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, -0.04 in decreasing order.\nAnswer: -0.04, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2710*s**2 + 5416*s**2 - 2718*s**2. Let u(w) = 4*w. Calculate u(a(i)).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172779240?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1110 + -145?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18488570 divided by 22142?\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 17685*u**2 + 17685*u**2 + 6*u + 6 + u**3.\nAnswer: u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57324?\nAnswer: 2, 3, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-8)*(49\/(-84))\/(-7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (44\/55)\/((-768)\/(-170) + (-20)\/170). Let r = 0.3 - -0.1. What is the nearest to 5 in r, -0.1, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102013313222 (base 4) to base 15.\nAnswer: 63c9bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45833909*l**4 + 47775783*l**2 wrt l?\nAnswer: -1100013816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 8*v + 7. Suppose 50 = -5*d + 5*t, -3*d - 3*t - 36 = -8*t. Let r = 2 + d. Let w be o(r). Solve -4*g = -1 + w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4996, -4959, -4922, -4885, -4848, -4811?\nAnswer: -4774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.15 times -1041\nAnswer: -1197.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/((-24)\/36).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-56) + (-6)\/8)*(3 - -7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4186)\/644 - (267\/14)\/(-3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/((-3)\/(-10) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 7. Suppose -3*o = o - g. Suppose -o*t - 5*y - 33 = -6*t, 0 = 5*t - 4*y - 42. Is t at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -17*x - 8. Suppose -6*d + 25 = -d. Let a(h) = 11*h + 10. Let q(w) = -1. Let g(v) = a(v) + 5*q(v). Determine d*i(y) + 8*g(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 - 185. Let z = -17 - f. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 558\/29 - 9449\/580. What is the common denominator of q and -73\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 4 (c) 3 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1003 divide 200533802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24 + 26 + 2\/((-4)\/(-10)). Let q = 150 - 97. Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/4 - 4*s**3\/3 + s**2\/2 + 3*s + 2. Let i be f(4). Let o(x) = -557019*x + 557025*x - x**2 + 3 - 9. Calculate o(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 4. Let s be (-75)\/j*26*-2. What is s rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1 - 59*c + 1 + 56*c. Let g(u) = -72*u**2. What is p(g(z))?\nAnswer: 216*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 806704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -66. Suppose 22*n - 21*n = r. Suppose 3*d - 37 = n. Does 33 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 11) to base 7\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*9\/((-252)\/(-70)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20394465 divided by -1?\nAnswer: 20394465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/2)\/((5\/(-2))\/5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011250305?\nAnswer: 3, 5, 13, 576211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11957292 and 10?\nAnswer: 59786460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 117859 - 2*w**2 + 117859 + 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-25363)\/6) + -1. Let k = -4215 + w. What is the common denominator of k and 17\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p + 103. Let g be l(17). Let c be -3 - g\/(2 + -1). Put -2, c, -22 in ascending order.\nAnswer: -22, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 90972, 90958, 90944, 90930?\n\"Answer: -14*s + 90986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 46359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 2*y - 12, 19237*y = 3*t + 19241*y - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69578678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 187529591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 190847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250155693.\nAnswer: 3, 59, 61, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r**3 - 2*r**2 + 12*r - 11. Let q be t(1). Let y(m) = -q*m**2 + 207257 - 207257. Let k(a) be the second derivative of -a**3\/6 - a. Give k(y(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -425.592 - -426. Let h = -0.438 + z. Which is the smallest value? (a) 1\/4 (b) 6\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 2 + 18 = 0. Let p(i) = i**2 + i + 1. Let f be p(-3). Suppose 0 = -2*d + 5*k - 30, -f*d = -3*d - 5*k + 40. Put j, d, 3 in descending order.\nAnswer: 3, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -46, -79, -114?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13776 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15)\/(2\/2) + 168 + (-833750)\/9375?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 408458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1087266, 1087264, 1087262, 1087260?\n\"Answer: -2*z + 1087268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6) + (-70)\/(-28). Suppose 31 = 15*l + q. Solve -3*n - l*p - p - 3 = 0, n + 11 = 4*p for n.\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 cikoqxq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/10 - -7)*696\/203.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1c45 (base 13) to base 3\nAnswer: -12212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/12)\/(2\/(-8)). Let g be (-3)\/(-6) - s\/2. Let a = 2 + g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 2*d + 3. Let n be c(-9). Let a = n + 206. Does 18 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 2. Suppose 0 = -0*q + 4*q - 16. Let f(d) = -d + 0*d + 13 + 0*d - 11. Let v(c) = q*f(c) - 5*j(c). Give v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 3)*9\/(-12) - -5336. Suppose 4*r = -r - 3*k + f, 4284 = 4*r - 2*k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/21)\/((-6)\/21))\/(9\/54).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -199*w**2. Let t(k) be the third derivative of -k**6\/360 - 91*k**3\/6 - 8*k**2 + k. Let h(r) be the first derivative of t(r). What is z(h(d))?\nAnswer: -199*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003751401 to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -7*i**2\/2 - i + 6. What is the derivative of r(f) wrt f?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 173, 13\/7 in decreasing order.\nAnswer: 173, 13\/7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**5*o**2 - 4603*n**4*o**3 - n**2*o - 18*o**3 + 244*o wrt n?\nAnswer: -180*n**2*o**2 - 110472*n*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 1139 = -1097 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2. Let j(g) = -100653*g. Determine j(p(r)).\nAnswer: -503265*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.35709ml to litres.\nAnswer: 0.04635709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 13*n - 18. Let k be d(11). Suppose -5*j = 5*w - 4305, -j + k*j - w = 2571. Suppose -j = -5*g - 68. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 14*d - 924 = 0. Is 44 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/70 and -129\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4) - 6\/(-8). Suppose -3*x + x + 40 = w. Let j = 53 - x. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.146 to the nearest integer.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3 + (-3 - 1 + 2)*(-2 + 4 + 0) + 2 + 4 - 2)*(-a - 5*a + 4*a)*(10 + 8 - 5).\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 + -117. Let i = 70 - t. Let o(l) = 2*l**3 - 18*l**2 + 4*l + 4. Is 22 a factor of o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2067471 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44 times -34\nAnswer: -1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -322959421\/418677 + 16199\/21. Let a = -1016747\/398740 - j. Let t = -3274 + 32767\/10. What is the common denominator of a and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(1377) + -2 + sqrt(1377) - (-1 + sqrt(1377))*-4)**2.\nAnswer: -648*sqrt(17) + 49610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b (base 12) to base 11.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117)*2 + 2 - sqrt(117)) - (sqrt(117) + (-1 + sqrt(117) - sqrt(117)))*1)**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3731*u - 190283. Determine x(51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15455, -30867, -46267, -61649, -77007, -92335, -107627, -122877?\nAnswer: -138079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 divided by 292?\nAnswer: 619\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j - 6. Let n be (8\/10)\/(3\/(-15)). Calculate the remainder when d(n) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**3 + 76*p**2 - 7*p - 28. What is f(19)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009987256 to the power of 1\/2, to the nearest integer?\nAnswer: 31780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12783 + 38352 - 12780 - 325*x**3 - 12789.\nAnswer: -325*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46417367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/50 and 3 + -9 - (186\/(-100))\/((-2688)\/(-9520)).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53\/93? (a) 0.2 (b) -12 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*q + 0)*((-13 + 13 + 7*q)*(6 - 1 - 3) - 1 + 21*q + 11*q + 2*q) in the form k*q**2 + g*q + y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -4945631.15.\nAnswer: -4945631.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20)*((-90)\/(-36) - 15).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-5)*(-3 + 33\/6). Solve 4*k = b*m + 5*k + 6, -3*k - 7 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29792500 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 2316727377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163849 is divided by 836?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745043.\nAnswer: 13, 223, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 867 + -776. What is the highest common divisor of g and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/105)\/((-56)\/112).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 405*b**2 + 9003*b + 1949805.\nAnswer: -3*(b - 65)*(b + 99)*(b + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 8579020129*g**2\/3 - 5557380*g + 2700 = 0?\nAnswer: 90\/92623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13063 is divided by 87.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 + -1094 + -16 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11780250 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2071 + (-187)\/(1 + -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a - 182*a = 3020 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5 - 7 - 5*b**2 + 4 + 8*b. Let c(y) = 4*y**2 - 7*y - 2. Let z(q) = -6*c(q) - 5*n(q). What is z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2. Let b = 1 - 2. Let l be h(b). What is the units digit of 4\/l + (-11)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.742 to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 15*q + 25*q - 25*q - 9*q in the form m + y*q and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(96)\/sqrt(2) + 4 - sqrt(48)) + (-4 + (-1*sqrt(6912) - sqrt(6912)) + sqrt(6912))**2.\nAnswer: 384*sqrt(3) + 6934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-62 + 62)\/((-32)\/(-4)). What is l in 5\/4 + 5\/2*l**3 - 5\/2*l + b*l**2 - 5\/4*l**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 7. Let i be (-37 + 2)*(230 + -231). Let b(x) = -2 + 1 + 0. Calculate i*b(c) - 5*h(c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -16\/5 (c) -8 (d) -0.05 (e) -5 (f) 19.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*17.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194 - -6418\/33. Let o = -2\/3 + x. Sort o, 5\/2, 0.3 in increasing order.\nAnswer: o, 0.3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 119*l**2 + 33 + l + 62*l**2 + 74*l**2 to the form u + q*l**2 + x*l**3 + d*l and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(18\/300). Let p = -52 - -30. Let a = q + p. Solve 0 = a*x - 7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -130*k**3 - 8*k**2 - 464. Let q(l) = 64*l**3 + 5*l**2 + 232. Let y(u) = 5*q(u) + 3*t(u). Find the third derivative of y(p) wrt p.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 16*d - 28 = 0. Let h be (-70)\/(-15)*(-6)\/(-4). Solve -2*z - 16 = d*p, 0 = -3*z + 4*p + h + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -329 + 324.53. What is h rounded to one dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.7056 millennia?\nAnswer: 17.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -47 - 29. Let u = 51 + y. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1037*u*w**3 + 2*u*w**2 + 3*u*w + 147*w**2 wrt w?\nAnswer: 6222*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-30*(-117)\/130?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200) - sqrt(200))**2*-6*-3 - ((-1 + sqrt(200))*5 + -3).\nAnswer: -50*sqrt(2) + 14408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-70) - (-147)\/(-36)*12\/(-90)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*t**5 - 225*t - 78*t**5 + 80*t**5 wrt t.\nAnswer: -2040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07599725 + 0.076. What is o rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-27))\/(2\/3). Is u > 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c*c**0*c**6\/(c**(1\/8)\/c))**(-22) assuming c is positive.\nAnswer: c**(-165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 4*l + 5, 12*l = 10*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/8721*57)\/(2\/(-40))?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8018 + -5984. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -4\/993577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/12 + 3*x**3\/2 + 4*x**2 + 5*x. Let u be q(9). Let c be 0 + (34\/u - 3). What is the third biggest value in -2, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 38*w**2 + 84*w - 5383. Determine h(37).\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110004857*d**2*f**2 - 10*d*f**2 - 246618*d*f + 2*d - 2*f**2 - 3 wrt d?\nAnswer: -220009714*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 (base 15) in base 13?\nAnswer: 6c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72934921 to the nearest integer?\nAnswer: 8540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 1708*k - 23. What is d(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 6*g - 7. Calculate n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/4 (b) 1\/4 (c) 0.0257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8203217 = 272*z - 1724239. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 854807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1272 + -1262. Let u(j) = -j**3 + 11*j**2 - 2*j - 13. Calculate u(g).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a millennium?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007885007 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 769044220, 769044222, 769044224, 769044226, 769044228?\n\"Answer: 2*w + 769044218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 18*c - 372. What is the remainder when z(32) is divided by 185?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.2, -16, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*t = -69*t + 370. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*1 - (sqrt(14) + 3*(1*sqrt(14) - sqrt(14))))\/(1*sqrt(567)*2).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/7016?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c + 0*c**2 + 34*c + 11 - 36*c - c**2. What is a(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11055*j**2 - 72090*j?\nAnswer: 22110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 768.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -253464833, -253464827, -253464819, -253464809, -253464797, -253464783?\n\"Answer: n**2 + 3*n - 253464837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.9 + -27. Which is the fourth biggest value? (a) 3 (b) m (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/528 and 61\/60?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 171 = -6*r. Let d be 3\/(-9) - 60596\/r. Let s = d + 1066. What is the common denominator of s and 9\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340444 (base 5) to base 12.\nAnswer: 6b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 2, e: 1, h: 1, a: 2}. What is prob of sequence crha?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*f = -6044 - 832 - 1264 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1610\/(-350) + 6\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277320 by -92440.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12525\/17 + 61172\/119. Let o = -223 - v. Suppose 0 = 2*y + 4 + 4. Which is the nearest to y? (a) 5 (b) o (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 28.2. Put v, -4.3, 2\/11 in increasing order.\nAnswer: -4.3, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17, 5, -5, 73?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 48 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4687 is divided by 224.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 + 2. Let g(n) = -n**3 - 2*n**2 + 520. Calculate -g(p) + 2*m(p).\nAnswer: -p**3 - 516","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-150)\/90)\/((-2)\/(36\/118)). Is 1 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w + 4*h = 11*w + 4, -4*w - h + 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 22. Let g = r - -39. Suppose -2*v + g = 5*i, -5*i + 5*v - 1 = -16. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/4 + 17*s**4\/4 + 45*s**3\/2 + 5*s**2\/2 - 87*s\/4 - 27\/4 = 0. What is s?\nAnswer: -3, -1, -1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3130263583.\nAnswer: 12503, 250361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -d, 4*t + 8*d - 3*d - 12 = 0. Let h(u) = -4*u - u**2 + t*u + 0 + 6*u + 1. Determine h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from {w: 9, e: 7}?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - v**2 + 6*v**3 + 18 to j*v + l + n*v**3 + b*v**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 + 13*t - 2. Give v(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201101212100 (base 3) to base 9\nAnswer: 641770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 262, 723, 1584, 2971, 5010, 7827?\nAnswer: 11548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j. Suppose -6 = -12*y + 9*y. Calculate d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 5*p + 141 - 121, 4*p + 3*x + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*g + 18, -4*g - u + 3*u = -12. Let w be (-8)\/2 - (-4)\/g. Let f be 2069999\/w + 4\/(-12). What is f rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -1885\/8 (b) -2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 12*o + 84. Is 28 a factor of k(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Suppose c*k - 762 = -t, -497 = 2*t + 3*k - 2056. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8525*s + 42620. Determine b(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45689 and 1281.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.471 - -0.171. Which is the nearest to -1? (a) -0.02 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -100072*l + 3802734. Calculate k(38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -31555*v**2 + 4. Let d(b) = 17*b. What is d(o(z))?\nAnswer: -536435*z**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/8*6\/(-9)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q - 62. Let w(a) = 5*a - 31. Let x(z) = 3*t(z) - 5*w(z). What is the remainder when x(10) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000062801145 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 o when four letters picked without replacement from {f: 1, o: 2, n: 4, c: 3, l: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/52*7)\/((-236)\/767)*(-27)\/(-21).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 7\/6*j**3 - j - 14 + 0*j**5 + 173\/30*j**6 + 7\/12*j**4 + 0*j**2. What is the third derivative of t(b) wrt b?\nAnswer: 4152*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 78 + (6\/8)\/(5\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)\/u**(3\/2)*u**1*u*u*(u\/(u*u**(-12)))\/u)**(3\/40) assuming u is positive.\nAnswer: u**(393\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52255160 divided by 4?\nAnswer: 13063790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 258\/30 - 2\/(-5). Suppose -25*n + 99*n = 8658. Calculate the greatest common factor of t and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31404 - 43?\nAnswer: -31451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 5624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11. Let r(w) = -5. Let t(s) = -6*j(s) + 13*r(s). Let z be -2 + 9\/(-3)*-1. Let f(u) = u + 2. Give z*f(i) - 2*t(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Suppose -26 = -3*p + k, -3*p - 2*k = 1 - 21. Let g(t) = -t. Let o(l) = 3*l - 5 + 5. Let s(h) = p*g(h) + 3*o(h). Calculate a(s(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 536549.4mm in kilometers?\nAnswer: 0.5365494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2749 - -4871. Suppose -3*y + 992 = -r. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -121208, -2, 2 in decreasing order.\nAnswer: 2, -2, -121208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382037 + 1182997 = 32*i. List the prime factors of i.\nAnswer: 2, 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - -1*sqrt(612)*6) + -3 + 5*(sqrt(612) + 0 + sqrt(612) + sqrt(612))*-4 - 4*((sqrt(612) + 2*2*sqrt(612))*-5 + -2))**2.\nAnswer: 2820*sqrt(17) + 1351933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1100010101000100001?\nAnswer: -1100010101000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1346*y. Let l(i) = -i. What is d(l(r))?\nAnswer: -1346*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:51 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -839\/3 - -280. Let r(s) be the second derivative of -d*s**3 + 5*s + 0 - s**2 - 1\/24*s**4. Suppose r(o) = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131516 is divided by 411?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 + 3 - 3)*(-1 - 1 + 1) + 189*t - 9 - 2*t**2 - 189*t in the form b*t + v + k*t**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - -101111101?\nAnswer: 101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 317881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -205, -610, -1299, -2278, -3553, -5130?\n\"Answer: -f**3 - 136*f**2 + 10*f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73775077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-383*v - 712 + 712)*(-3*v + 2*v + 2*v).\nAnswer: -383*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z - 4, 4*z = -5*x + 404. Let q be ((x\/(-16))\/(-7) + -3)*-8. Solve 3*h - q = -i + 2, -2*h + 20 = 2*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - 11.8. Let n = -13 - t. Is n less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-28) - -3 - 20\/350*-5. Solve -3*b + 12 = -4*b - 2*v, n*b = 5*v + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-10)\/(-105)*606\/(-1616)*(-24)\/282?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*b = -135*b + 2069 + 1561 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -34*(-3)\/6. Let n = i + -9. Suppose 0 = -4*p - j - 0*j, 0 = 3*p + 5*j. Solve p = -3*m + n + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364798616+0.5\nAnswer: 364798616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/((-12)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2079\/230 - -270\/23. What is the common denominator of q and -33\/34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4019496.62 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266499015?\nAnswer: 5, 59, 211, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102\/31 in -10\/19, -229, 4?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-12))\/(6\/24))\/(((-40)\/(-63))\/8).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjljjjljljjlljjkjjl. Give prob of sequence ljkj.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 539 - 527. Let n(v) = -1223*v**2 - 8*v + 2*v - j - 6*v + 1232*v**2. Let r(w) = w**2 - w - 1. Determine -3*n(t) + 36*r(t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**2 + 63*x**2 + 74*x**2 + 2*x**2.\nAnswer: 147*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose y = v*y. Suppose 5*b = -4*k + 8, k + 0*k - 2 = 0. Solve b = t - y*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*(-510)\/68. What is the third derivative of 1509*m**5 + 20*m**4 - 1511*m**a + 7*m**2 + 2*m**2 wrt m?\nAnswer: -120*m**2 + 480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50913470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 37*r**2 - 131*r + 17. Let g be n(33). Suppose -2*s + 9 = -11. Calculate the greatest common divisor of g and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a**2 - 30*a - 179. Calculate t(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + -129.2. Suppose -5*i = 2*u + 11, 2*u - 5*i = 15 + 4. Let t be 1\/((-15)\/(-9) - u). Which is the second biggest value? (a) p (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96694973 divided by -2.\nAnswer: 96694973\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let p be (13\/26)\/(1\/4). Suppose 2*q + p*c - 12 = 0, -4*q = 3*c - 14 - 9. Let s(b) = -q*b + b**2 + 5*b. Give s(k(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9985*-0.1718\nAnswer: -1715.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 270\/(-36))\/(65\/(-20))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 14) to base 15.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.3 (b) -0.5 (c) -0.3 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -3\/7, -3\/5, -1\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 689, 4, 1 in increasing order.\nAnswer: 1, 4, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 73*x**5\/20 + 21*x**2\/2 + x - 6. What is the first derivative of g(d) wrt d?\nAnswer: 219*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(272) - (-1 + sqrt(272) - sqrt(272)) - sqrt(272)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -669, -1050, -1681, -2562, -3693, -5074, -6705?\n\"Answer: -125*u**2 - 6*u - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*i + 4*h, -3*i + 4*h - 9 = 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 4. Let a be f(-2). Suppose z - 216 - 89 = a. Suppose u - 6*u = -z. Is 32 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60946 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/6 - 3*l**3 + 171*l**2. Let u be n(4). What is the second smallest value in 0.5, u, 0.63?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Suppose j - 5*j = -20. Which is the second biggest value? (a) j (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5296 and 587194.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.914 + 48.992. Let q = 48 - h. Round q to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:48 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 19*k - 24*k. Let a be 1 + 0 - (-4)\/(-4). Put -3, k, a in ascending order.\nAnswer: -3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvtgzrrrzrvzsg. Give prob of picking 2 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let b(h) = -h**3 - 4*h**2 + 2. Let c(u) = -u**2. Let p(s) = b(s) - 2*c(s). Let a be p(-2). Let m(x) = -2*x + 2*x - a*x. Give y(m(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 13*d**2 + 12*d + 17. What is the units digit of x(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -33\/2*m**2 - 34*m + 0 + 25\/6*m**3. What is the derivative of x(j) wrt j?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53874211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:14 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-112)*2)\/(15\/96*-4)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*j**2 + 60*j**3 - 97*j**3 + 59*j**3 in the form i*j + p + r*j**3 + s*j**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880724 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a3 + 1?\nAnswer: 8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/831 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 40*j**2 + 25*j + 87. Let g be w(40). Suppose 7*a - 9739 = -g. What are the prime factors of a?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uvuuatvauattatudaat?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17084752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 2 + 12 - 6. Calculate the remainder when b(-11) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let m be (-1)\/g - 1\/(-2). Let u(q) = q**3 + q**2 + q + 56. Is u(m) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**4 + 16*k**3 - 4*k**2 - 24*k = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*g - 1. Suppose -16 = -4*d, -g*i + 35 = d - 3. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20867921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/60 in -0.4, 2\/9, 0.4, 3\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x, -2*r - 5*x - 205 - 11 = 0. Let s = 208 + r. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -53. Let m be ((-2)\/3)\/((z\/(-30))\/(-8)). Solve -3*o = 7 + 2, -3*y + m*o + 3 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4008920 is divided by 4008890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 471, 518, 603, 738, 935, 1206?\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 189 = 0, 19*w - 38*w + 14*w + b - 68 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 620235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 591 = -781 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8 - -1.9. Let u = -129 + 129.2. Which is the closest to -0.2? (a) 2\/9 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37145649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-28 + 153 - 39)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 + 249077140*z + 7754927708822450 = 0.\nAnswer: -62269285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181*h**2*k**2 + 58110*h**2*k - 12*h*k**2 - 4170*k**2 + k + 2413 wrt k?\nAnswer: -362*h**2 - 24*h - 8340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5*(-5)\/(-2). Let n be (-1)\/(1\/(-6)*l). Suppose 104 = 7*s - n*s. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4557 - -4594. What is the least common multiple of 2\/(-4 + 152\/36) and k?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -c05e?\nAnswer: c05f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -o - 3*c, 1216*o - 1019*o = -4*c + 2742 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 + 142. Suppose 5*c - l + 6*l - 55 = 0, c - w = -4*l. Suppose b + z = -b + 183, 4*b + z = 365. What is the highest common factor of c and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -2\/3*c**3 + 4*c + 3 - c**2. Factor h(l).\nAnswer: -2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 35*j**2 + 3633*j + 96234. Determine m(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150395868 a multiple of 707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v + 8. Suppose v*q - 20 = 12*q. Let p be q\/(-6) + (-110)\/120. Which is the closest to -1? (a) -2\/9 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4425 (base 6) to base 10\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1030527121284342 - 4.\nAnswer: -1030527121284346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25818 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3532*n - 546 = 3558*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3527192 nanometers?\nAnswer: 0.0003527192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 367a + -1?\nAnswer: 3679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11768 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, y: 2}. What is prob of picking 3 p and 1 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 59 - 72 = -113. What is the highest common divisor of 24575 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/360 + 181*s**4\/72 + 32761*s**3\/36 - 90*s**2 - 1. Determine o, given that c(o) = 0.\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1522813 != -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -33344, -2\/9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 7.198?\nAnswer: -3.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1069, -2570, -5041, -8488, -12917, -18334?\n\"Answer: -j**3 - 479*j**2 - 57*j - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 259.9138s?\nAnswer: 259913800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5696789 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**8\/6720 + o**5\/60 + 29*o**4\/24 - 12*o**2. Let l(j) be the third derivative of a(j). Let g(b) = -3*b**2. Calculate l(g(u)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b2 + -2a6fd?\nAnswer: -2a04b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 7*x - 8. Let n be j(2). Let l be -4 - (1 + 8\/n). Suppose 14 = -2*i + 3*f, -i + 2*f = 2*i + 16. Put l, -2, 0, i in ascending order.\nAnswer: i, -2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/67 (b) 539 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 22653428*o - 45306848.\nAnswer: -2*(o + 2)*(o + 11326712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1768 in increasing order.\nAnswer: -3, 0, 1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2577, 2750, 2925, 3102, 3281, 3462?\n\"Answer: n**2 + 170*n + 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-5*108\/300)\/(7\/((-175)\/(-20)))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/3))**(2\/23)\/((s\/s**1)\/(s\/s**(-3\/8))))**(-1\/6))**(1\/64) assuming s is positive.\nAnswer: s**(-743\/211968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 55*g - 59*g + 9, 0 = -g + 5*w - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338280 and 1920?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bc6d7 - 2?\nAnswer: -6bc6d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035548 rounded to 7 decimal places?\nAnswer: -0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21111 (base 5) to base 2.\nAnswer: 10101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89386?\nAnswer: 2, 11, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**7\/273 + 7*h**6\/195 + 9*h**5\/65 + 11*h**4\/39 + h**3\/3 + 3*h**2\/13 - 2*h - 41. Find w, given that r(w) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 11189 + 10146 + 20440 - 12261.\nAnswer: -2*a + 29514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8284 and 304?\nAnswer: 33136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 8 - 7 + 18 - 2. Let z(b) = b. Let l(i) = -y(i) - 5*z(i). Let j(o) = o. What is -4*j(r) - l(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -9*u - 5. Let a be (u + -1)\/(-1) + 3. Suppose 0 = -w + a*w + 5*z + 20, 2*w - z - 4 = 0. Solve 0 = -w*c + c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 12 = 2*v. Let g be ((-6)\/(-4))\/(-18 + (-7623)\/(-420)). Let n(s) = s**2 - 23*s + 127. Let o be n(g). Is v <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1203160 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11, -0.03, -406, -2\/7, 5\/108?\nAnswer: 5\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -6, -3, 1575179, 0 in descending order.\nAnswer: 1575179, 5, 1, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (-6 - (-3 - -1)). Suppose z*f = 10*f - 14. What is the remainder when 55 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242*0.086258.\nAnswer: 20.874436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1501 divide 42592376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12967?\nAnswer: 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1*1\/4). Let v = y - -6. Let n be -62 - (-49 + -91) - 62. Solve -n = -5*l - v*s, 4*l - 2*s - 23 = -7*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 73. Determine i(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 59*f)*(13 - 76 + 33).\nAnswer: -1770*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*c*j*v**3 + 2*c*j*v**2 + c*v**3 + 3*c*v - j*v**3 - j*v + 10*j + 354*v**3 - 5*v**2 + 12*v wrt v?\nAnswer: -390*c*j + 6*c - 6*j + 2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -2 + 7)\/(-1). Let m(b) = -b**3 - 9*b**2 - 7*b + 19. Calculate the smallest common multiple of m(-8) and 44*(9\/l)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 = 3*i + 2*i, -2*i = -y - 6. Let x be (-4)\/y*25*103200. What is x rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + c + 41, -2*q - 3*c = q - 42. Suppose q = -5*s + 36. Is 2\/s + (-356)\/(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.076667 - 0.077. What is g rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.233 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 81. Let t be 2\/30 + 3\/9. Factor 2\/5 - 4\/5*l + 0*l**c + 4\/5*l**3 - t*l**4.\nAnswer: -2*(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from mzzmmzmmzmzzm.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5024031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 360.956 + -0.5\nAnswer: 360.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*t + 3. Differentiate -t*r**2 - 2 + 6*r**2 + 17*r**2 with respect to r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 5)*(-3 + l + 3) + 5*l + l - 2*l + (3*l - 2*l - 3*l)*(259 - 165 - 203) to v + h*l and give h.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/2))**(2\/47)\/(x**(-2\/23)\/(x\/(x\/(x**(-6)*x)))))**35)**(-1\/23) assuming x is positive.\nAnswer: x**(185080\/24863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7701408 by -144.\nAnswer: -53482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nvnvvvnv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 434738, 434740, 434742, 434744?\n\"Answer: 2*d + 434736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 8*z - 12. Let w be i(9). Let q = 21 + w. Let q + 4\/9*k - 2\/9*k**2 = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12034 and 352154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from fkattaktaaatfaafaat?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x - 4*x + (x + 0*x + 0*x)*(788 - 2440 + 792 + 813).\nAnswer: -50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 708\/615 + -1*(-132)\/(-110).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106636877 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.065 + -0.205. Let b = 12.27 + z. Let r = b - 11.9999989. Round r to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, b: 4, e: 2, a: 4, v: 3}. Give prob of picking 2 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -4 - -9 - (-21 - -41)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 1:40 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 5. Let a be k(5). Solve -2*s + d - 1 = -3*s, a = -3*s + d - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/45 - 6\/(-10). Let k(a) = 3*a**5 + 7*a**4 - 3*a**3 + a**2 + 4*a. Let d(w) = w**5 + w**4 + w. Let l(h) = g*k(h) + 4*d(h). Factor l(q).\nAnswer: q**2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0 - -3) + 0. Let v be 2*(2 + (-2)\/4). Find the third derivative of 2*h**u + 0*h**2 + 4*h**3 + 0*h**v wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 8*p**2 - 15*p - 2. Give u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 take away 5467953598524?\nAnswer: -5467953598524.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 11. Let b be t(-1). Suppose -4*a - b*o - 11 = 0, -a = 2*o - 1 - 0. Let f(r) = -r**2 - 8*r - 10. Determine f(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 139?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 1. Let a(x) = -10*x + 33. Let h(p) = a(p) - 4*d(p). Let b be h(6). Let k(w) = -2*w**2 - 7*w + 1. Let c(r) = r. Determine b*k(z) + 6*c(z).\nAnswer: -2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705798 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 237*t**2 + 390*t + 10. Let c be u(6). Round c to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 250. What is the smallest common multiple of k and ((-15)\/3)\/(1\/((-210)\/35))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/(-4)*72\/24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*h - 36 + 12 = 0, 5*h + 30 = -j. Which is the closest to j? (a) -1\/4 (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5362 is divided by 1752?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = u + 2*u + 23, 577*u - 290*u - 291*u = 3*b + 50 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 490973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.7 - -18. Let g = 9.2 + -13.14. Let o = d + g. Round o to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*a - 7469, -8*y + 7477 = 3*a - 4*y. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57956385*q**3 + 11672625*q wrt q?\nAnswer: 347738310*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 3\/9)\/(2\/9). Factor 21*s**2 - 36*s**t - 33*s + 68*s**3 - 35*s**3 + 15.\nAnswer: -3*(s - 5)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - (8 - 1)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215563280 to the nearest integer?\nAnswer: 14682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -0.5059396.\nAnswer: -0.035415772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2040 is divided by 131?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igr when three letters picked without replacement from uouuurrorrprogiguir.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 14*g + 4 = 0. Suppose -g*v - 3*y + 33330 + 196 = 0, 0 = 2*v + y - 33522. What is v rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.5, -59, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + (-6)\/(84\/(-53)). Let -w*k**5 + 9\/2*k**3 + 0 + 5\/2*k**2 - 5\/2*k**4 - k = 0. Calculate k.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 13. Suppose -2*y - 57 = -5*d - 6*y, -3*y = -3*d + 45. What is the remainder when ((-2)\/3)\/(u\/(-147)) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342462.\nAnswer: 2, 1171231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 5*y - 0*x, -y - 3*x = -10. Let h be (-156)\/360 + y\/(-6). Let v = 5 + -5. What is the closest to 0.1 in v, -0.2, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -1\/20*p**5 + 1\/2*p**4 - 2*p**3 + 0 + 0*p + 19*p**2. Factor r(u).\nAnswer: -3*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 1978?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-117)*15\/(-125). What is the biggest value in z, 34, -0.2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - 12.12. Let h = -12 - i. Let o = 89\/2 + -977\/22. Which is the closest to h? (a) -2 (b) 2\/15 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278001 divided by -30889.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*i + 3*i**2 + 39*i**3 + 9*i**2 + 50*i + 2 to the form b*i**3 + a*i + v*i**2 + h and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i + 11479620 = 31*i - 9*i. Round i to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (12\/2 - (-19)\/76*-60)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b. Let q(j) = -15*j + 4*j + 11*j - j**2. Determine q(z(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(891)*5*5)**2 + 4*(sqrt(11) + sqrt(176)*-6)*-5.\nAnswer: 460*sqrt(11) + 5011875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, 2, 1\/3 in descending order.\nAnswer: 4, 2, 1\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 45. Is -1\/9 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 8, -4, -184.\nAnswer: -184, -4, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*v - 24523 + 24523 + 6*v**3.\nAnswer: 6*v**3 - 291*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15) + (-156)\/(-70) - 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -234469297*i**5 + 32036*i**2 + 24 wrt i?\nAnswer: -14068157820*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 9:02 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1083 divide 260647776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 6765?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119\/3 - -40. Let i(k) = 3*k**2 - k - 2. Let n be i(2). Let m = -9 + n. What is the biggest value in w, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 - 10*k**2 + 5. Let z be j(-5). Let t(m) = m**2 + 13*m - 67. Let c be t(4). Put z, 0, c in decreasing order.\nAnswer: z, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229\/4 - -57. Let h = -1.1 + 0.8. Let k = h - 0.7. Which is the nearest to f? (a) -4\/3 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1184 and 4958?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -11\/105*w**7 + 0*w**3 + 0*w**4 + 1\/120*w**6 - 5 - 8*w**2 - 43\/30*w**5 + 0*w. Find the third derivative of x(s) wrt s.\nAnswer: -528*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*n - 4*r, -4*n - 3*r = 28 - 0. Let v be (n\/5)\/(0 - 12\/30). Let y = 19 - 19.5. Which is the third smallest value? (a) v (b) y (c) -3\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*183\/5*50. Suppose -s - 3*s + c = 0. Suppose -3*t + s = 4*q - 214, 4*q = -t + 525. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + -0.2. Let k = -1234.06 - -1234.0222. Which is smaller: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1746 is divided by 276.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - w + 7*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-4)*(218 + 36). What is the hundreds digit of 21*t\/(-81) + (-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5126a (base 11) to base 6.\nAnswer: 1334314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 20*j - 2. Determine a(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46196 is divided by 15397.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/42 and -11\/35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.001 - 78.536. Let d = -63.01757 - -0.01757. Let g = d - f. Round g to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -2223.\nAnswer: 889.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11224, 22522, 33820, 45118, 56416?\n\"Answer: 11298*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 90*b + 632. What is c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371510 + 371547 = i + 8*w, 0 = -2*i + 4*w - 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351378180 to the power of 1\/3, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -40.5. Let o = -36.57 + 36.37. Which is the second smallest value? (a) o (b) -0.6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {w: 6, u: 12}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147325, 294669, 442013?\nAnswer: 589357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -27, -18, -19, -36?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/2 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(-2*p - p - p) - 4*p + p + p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 329*k**5\/30 + 11*k**4\/12 + 2*k**2 - 53*k. What is the second derivative of o(j) wrt j?\nAnswer: 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*i + 2)*(4 + 1 - 3)*(-7878 + 639*i + 7878) as p*i**2 + x + a*i and give p.\nAnswer: 2556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 + 1 = 0. Suppose -2*q - 3*q = 25. Put q, m, 0 in increasing order.\nAnswer: q, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -599*h. Let z(t) = t + 64. Determine z(l(k)).\nAnswer: -599*k + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -101?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**2\/3 - 140000*p + 840020\/3 = 0. What is p?\nAnswer: -84002, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from gyydygyddyd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395585046 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*f + 402*f - 108*f.\nAnswer: 202*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3384537569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43617, 43616, 43615, 43614, 43613, 43612?\nAnswer: 43611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 105 - (-12 + -7 + 12).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -88 (b) -408\/11 (c) -0.3 (d) -4 (e) 13 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * 878.\nAnswer: 83410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1147267*o**4 - 5394*o**2 + 90*o?\nAnswer: -27534408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 79.37 and -4.\nAnswer: 75.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 7. Let a(k) = -3*k + 14. Let o(w) = -2*a(w) - 5*t(w). Suppose 20*v - 60 = 8*v. Give o(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -786 divided by -131.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 373733000 to the nearest 1000000.\nAnswer: 374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912412709?\nAnswer: 13, 991, 70823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4064*r - 1054 - 22745*r + 1056.\nAnswer: -26809*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15. What is the second derivative of 4*y**5 - 2*y + v*y**5 - 10*y + 3*y**5 wrt y?\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26315909.\nAnswer: 26315909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/14 (b) 1 (c) 0.16 (d) -11001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13949939821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/560)\/(1\/(-973)*((-253)\/11)\/23)?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let g(r) be the third derivative of 371*r**5\/20 - 2463*r**2. Determine g(l(x)).\nAnswer: 1113*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:41 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in -6823\/3, -0.1, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 321*c + 1058. What is the tens digit of i(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*s - 14, 5*s - 5*f - 14 = -69. Let w(y) = y + 4. Let g be w(-3). Let k be g + -8 + s\/(-5). Is -4 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 31. Suppose -2*q + 15 = -j*q, 4*u = -5*q + 561. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 7}. What is prob of picking 1 m and 1 x?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 9:26 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 504 = 20*v. Solve -17 + v = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1436401 (base 7) to base 3.\nAnswer: -100212120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010032230 (base 4) in base 2?\nAnswer: 100000100001110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (15 + -49 + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 9430*a**3 + 2*a**2 - 9*a + 2. Let i be y(1). Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978.9 greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21319251\/1540 + -560795\/44. Let o = k - 5472\/5. Calculate the common denominator of (-8)\/12 + (-807)\/126 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 718 and 1182161870.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 - 30c4?\nAnswer: -30a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a day?\nAnswer: 15480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -418678 - -418675. Let l be 0 + (-10)\/4 + 1. What is the nearest to -2\/7 in l, g, 75?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -226*n**3 - 206*n**2 + 44*n + 38. Give q(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/5 - 2*o**4\/3 + 14*o**3\/3 - 8*o**2 - 10*o. Determine s so that x(s) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - k + 20, 9*u - 5*u = -4*k + 8. Let p = 3 + -2. Suppose 9 = 2*h - p. Is u greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6811 + 6811. Put 2, 7, k in increasing order.\nAnswer: k, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/((-27629)\/35523).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15306273 divided by 300123\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(4*u - 3 + 2 - u)*(-31 + 31 - 12*u).\nAnswer: -36*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -218, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/5 - 122*l**4\/5 - 2142*l**3\/5 - 1726*l**2 - 11312*l\/5 - 4704\/5 = 0. What is l?\nAnswer: -28, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = -30*o + 258 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 3:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 28 = 24, t + 2*h = 25. What is the highest common divisor of 891 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 44*b - 41. Let x be f(-20). Suppose -x*w + 50 = -14*w. Let m = 0.2 + -0.6. Sort -2\/19, -6, m, w in decreasing order.\nAnswer: w, -2\/19, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/520835 or -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -641*m**2 + 43*m + 25395 wrt m.\nAnswer: -1282*m + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 16 - 56. Let d be -16*(6 - 4)*10\/m. Let s = 23 - 64. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, s: 6, j: 1, k: 3, q: 2, e: 4}. Give prob of picking 1 t and 2 s.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 1:23 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**5\/10 - t**2 - 47*t. Let r(k) be the third derivative of 0*k + 0 + k**2 + 0*k**3 - 1\/12*k**4. Calculate o(r(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4983 divided by 130?\nAnswer: 4983\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 11:12 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53174*d**5 - 6*d**3 + d**2 + 3*d + 4349.\nAnswer: -3190440*d**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*a, -52043*a = -52041*a + 5*t + 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) + 38\/(-8). Let g be (-4)\/10 - 12\/a. Suppose -3*s + g = -1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 50 = -33. Is 12351 + -25 + -3*m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357296 or -357367?\nAnswer: -357367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from uuyuuuuuuuuuyuyuuu.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -881132*d**5*r**2 + 6*d**3*r**3 + 20*d**2 - 21517*r**3 wrt d?\nAnswer: -52867920*d**2*r**2 + 36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3\/(-144)*(-432)\/96?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 18. Let x(q) = 4*q - 2. Let g be x(4). Let a(m) = m**2 - 13*m + 20. Calculate the remainder when a(g) is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -694*r + 3 + 2343*r - 769*r + 2199*r as j + t*r and give t.\nAnswer: 3079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8976 and 363579.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27650414 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**6\/30 - 177*d**5\/5 + 529*d**4\/3 - 239*d**2 + d. Factor r(z).\nAnswer: 4*z*(z - 529)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-2))\/((-7)\/28))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 291*w - 20 = 293*w, -4*l = -5*w - 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, y: 1, p: 1, h: 1, q: 1}. What is prob of sequence mhy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82136, -81887, -81638, -81389, -81140, -80891?\nAnswer: -80642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -77506*y - 16. Let p(i) = -i - 1. Let r(h) = -m(h) + 8*p(h). Let z be r(4). Round z to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16178, -5, 0.4, 2\/7 in descending order.\nAnswer: 0.4, 2\/7, 0.16178, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**2 - o**3 + 75*o - o**3 + o**4 - 191*o + 55*o - 21 + 71*o to g*o**2 + n + z*o**3 + u*o + l*o**4 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.354 plus 9?\nAnswer: 8.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1434*m**3 - 597 + 597 + 451*m**3.\nAnswer: -983*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 4*r = 4*n + 14, -2*r = 2*n + 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*2\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39196080 and 11432190?\nAnswer: 274372560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9347 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-1334)\/(-138) + 4*-1)*54?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - p - 14936, 5*p - 1995 = -3*x + 12929. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 4*d. Suppose 0*o - s + 10 = -3*o, 2*o - 4*s = d. Which is smaller: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 259, 1398, 4023, 8734, 16131, 26814, 41383, 60438?\n\"Answer: 100*z**3 + 143*z**2 + 10*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -32828736.\nAnswer: 13\/32828736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 18*o**2 - 2*o - 34. Let d be b(-18). Suppose -12*k - 152 = -4*m - 13*k, -m - 2*k = -38. What is the highest common factor of d and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(14)*4 - sqrt(14)) + (sqrt(70)\/sqrt(5) + sqrt(14))*4 + sqrt(14))\/(-6*sqrt(252) - 3*sqrt(7)*2)*-2.\nAnswer: -8*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1 - r - 4*r - 9*r. Does 9 divide m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.3 * -20789.\nAnswer: 89392.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176904 and 654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164.293328 + -1.703652. Let o = -462 + 296. Let v = r - o. What is v rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360267 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -264 + 13.79.\nAnswer: -250.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or 11421132?\nAnswer: 11421132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 611 - 539. Calculate the highest common factor of 90 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255*34\/(-2040) + -6 + 0 + 2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*w + 160*w + 11*w + (0*w + 0*w + w)*(-2 - 5 + 5).\nAnswer: 152*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 110*b - 3. Calculate q(-2).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.4 - 6.7. Sort n, -2\/11, 0.3, 0 in increasing order.\nAnswer: n, -2\/11, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - k**3 + (-3 + 3 - 3*k)*(9*k**2 + k**2 - 4*k**2).\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 + h. Let i(n) = -198*n**3 + 5*n**2 + 5*n - 1. Let z(f) = -5*b(f) + i(f). Let y be z(1). Let m be (-2)\/(-17) + 772\/y. Is -5 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5925 - 5931. Let u(q) = q**3 + 5*q**2 - 2. Let i be u(-5). What is the third biggest value in i, 1\/3, h, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47010 by -10.\nAnswer: 4701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4492845*g**2 - 1647857448721 + 4325*g**3 - 1220276*g**2 + 207*g**3 + 5817678548*g - g**4 + 3562859*g**2 - 5551872*g**2 = 0. Calculate g.\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + -2*sqrt(18)\/sqrt(6)))**2.\nAnswer: 300*sqrt(3) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1031 - -1034. Let n be (-140)\/(-12) + 2\/(-3). Suppose -70 = -3*h + f - n, 75 = 5*h + x*f. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8\/3, -20\/3, 0.1, 16, 5?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 667629 divided by -939?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*f = -71, 5*o = o + 4*f + 40. Let k(i) = 9*i - 2. Let c be k(2). Let n = 23 - c. What is the remainder when o is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.465 - 0.46272. Round y to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let q(x) = -1349*x**2. Calculate q(i(c)).\nAnswer: -1349*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1663, 3326, 4989, 6652?\n\"Answer: 1663*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372070 is divided by 93014?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/75)\/4*(-6)\/(-6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145755, 145732, 145713, 145698?\nAnswer: 145687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 295*g**4\/4 + g**3\/3 + 1922*g - 449. What is the derivative of w(x) wrt x?\nAnswer: 885*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4471 + 157*w**4 + 507*w**4 + 4726 - 190*w**4 with respect to w.\nAnswer: 1896*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*d + 27. Let p(j) = -5*j + 2*j - 7 + d*j. What are the prime factors of p(15)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3243*o + 4398*o + 1142*o.\nAnswer: 8783*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/259838045?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-2)\/(30\/(-65)). Let t be (3 - 2) + 38\/(-34). Which is the biggest value? (a) v (b) 2\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 14*d - 12. Let c be q(-9). Suppose -c*k = -15*k - 99. Calculate the remainder when 87 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, 3\/7, -95.35, -177, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 2, i: 2}. What is prob of sequence xr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 7. Let v(u) = 2*u - 5. Let z(s) = -7*s - 15. Let t(g) = 20*g + 42. Let d(n) = -6*t(n) - 17*z(n). Determine c*d(h) + 3*v(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) - sqrt(198)*2)\/(1*sqrt(200) + sqrt(2)).\nAnswer: -3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -211836039 by -2.\nAnswer: 211836039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(16\/112 + 6\/7). What is the closest to t in 0.4, 0, -1\/2, -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/204747 and -11\/6?\nAnswer: 409494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(-18))\/(-11)*(-10)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3 = 8*v. Let d be v*-3 - (-209)\/77. Let o be -1*(-3)\/((-12)\/(-20)). Which is the third smallest value? (a) o (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 288748 in -2\/3, 4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 2, -15, -48, -103, -186, -303?\n\"Answer: -m**3 + m**2 - 3*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, 2, -1\/6 in descending order.\nAnswer: 2, 0.3, -1\/6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14794, -14900, -15018, -15142, -15266, -15384?\nAnswer: -15490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 17824730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1298.673 * 0.07.\nAnswer: -90.90711","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3865991, -7731983, -11597975, -15463967?\nAnswer: -19329959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**3*n*o**2 + 2*c**3*n - 646*c**2*n - 15*c*n**2 + 42*c*o - 528*n**2*o**2 - 142*n*o**2 - 2*n*o wrt o.\nAnswer: -16*c**3*n - 1056*n**2 - 284*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - 8*b - 4*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4 - (-6 + 2)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12433482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 65, 2, -5, -4, 8108 in descending order.\nAnswer: 8108, 65, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 33*z**2 - 1. Let k(a) = 3*a. Let y(m) = -m + 1. Let t(n) = -10*n + 12. Let x(p) = t(p) - 12*y(p). Let g(o) = 3*k(o) - 6*x(o). What is g(b(r))?\nAnswer: -99*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + -1*1*sqrt(66) + sqrt(66))\/(sqrt(6)*-1*5) - -5*(sqrt(704) - sqrt(704)*2)*-5)**2.\nAnswer: 10978011\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*j - 403, -j = -34 + 36. Let k(w) = -w + 6 - d*w**2 - 25*w**3 + 148*w**2 + 26*w**3. Give k(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(-4 + (1*(1*sqrt(325))**2 + sqrt(325) - sqrt(325))).\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 72 = m. Let z = -31 - m. Suppose 2*n = -4*o + 1 + 11, 15 = z*n + 5*o. Solve -4*c + l + 8 = n, 0 = 3*c + 4*l - 4 - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -394 and -1.77199.\nAnswer: -395.77199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -34542\/11 less than or equal to -3139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14131 + 46835. What are the prime factors of k?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:22 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (-973)\/(-2))\/(22\/(-44)). Let b = 2173 + l. Suppose 0 = 9*v + 273 - b. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -139*v + 59\/2*v**2 - 112. Find the first derivative of l(m) wrt m.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2))\/z)**(-2\/7)*(z**(5\/2))**(-22) assuming z is positive.\nAnswer: z**(-389\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 6. Let w be i(-9). Find the first derivative of 7 - 4 - 4 - 10*v**2 + w wrt v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*o - 21*o - 4940127 = 717338. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(4\/115) + 8\/(-16). Let b(n) = -n**3 - 4*n**2 - 3*n - 1. Let j be b(-2). Let r be -5 - j - -2*w\/56. Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -759 (base 12) in base 6?\nAnswer: -4553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 9. Suppose 2*q - 11*q + 45 = 0. Suppose -5*k = 5*u, -q*u = 2*k - 3 - 3. What is the remainder when l(7) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 654725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*v - 8724387 + 8719536 for v.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 5*y + 6. Let p(f) be the first derivative of -4*f**3\/3 - 3*f**2 - 7*f - 12. Determine 4*p(o) + 5*s(o).\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i = 345*i + 39*i + 7543 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.64 - -0.8. Let q = 0.04 - x. Let h = 0.119872 + q. What is h rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -66 - -78. Solve 0*d + v = -4*d, m + d = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73185033293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/6)\/((-375)\/(-150)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 181*u - 3074. Let p be i(17). Solve -486 = -p*f - 510 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119616301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 131*q - 5392. Give u(43).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20160122369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 208.89*-0.042\nAnswer: -8.77338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 27.07324 hours?\nAnswer: 97463664000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 60385*c**2 + 362175*c + 543195.\nAnswer: 5*(c + 3)**2*(c + 12071)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/3 + 566124*o**2 + 5095129*o\/3 - 2264500 = 0.\nAnswer: -4, 1, 1698375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -90131 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 14*m - 14. What is u(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/((-35)\/(-5)))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26a2 - -3?\nAnswer: 26a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j**2 - 454*j + 38. Let s be h(28). Which is smaller: s or 3005?\nAnswer: 3005","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 146. Let a be i(-8). Let t(r) = 2*r**2 - 7*r + 7. Let w be t(5). Calculate the highest common factor of a and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t + 4 = 4*c, -2 = -5*t - 2*c. Let i be 14\/3 + (-10)\/15. Suppose 3*y + 6 = a, i*a - 3*y + 7*y = 8. Sort 2, t, a in decreasing order.\nAnswer: a, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2463 + 2473. Calculate the greatest common factor of n and 6530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38 + (-1 - (1 + -2)). Suppose 26 = 3*j - 2*g - n, 0 = j + g - 23. Suppose 0 = -2*q + 68 - j. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 6.6?\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -704954\/9 - -78328. Let f = 0 - 0.1. Which is the closest to -1? (a) -2 (b) y (c) f (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 + 6. Let w(k) = -k**2 - 1. Let f(p) = -j(p) - 6*w(p). Let c be 4 + (3 - (2 + 3)). Let g(l) = -c*l - 1 + 1 + 5*l. Determine f(g(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/7, -27, 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2096 and 3715291.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 533\/602?\nAnswer: 533\/602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11737*q - 1455. Let t(u) = -97*u - 12. Calculate 485*t(y) - 4*z(y).\nAnswer: -97*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 5306?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-30)\/(-60))*91\/(-7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5748 divided by -479.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 309. Let p be k(0). Round p to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -139. Sort -5, -2, 5, i in increasing order.\nAnswer: -5, -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31930 is divided by 1183?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -103008 divided by -74\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**3 + 285995*j**2 - 285990*j = 0. Calculate j.\nAnswer: 0, 1, 57198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {k: 2, q: 3, t: 4, m: 1, e: 6, d: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8334, 8338, 8346, 8358, 8374, 8394?\nAnswer: 8418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4651*x**2 + 9304*x**2 - 59*x**3 - 4653*x**2.\nAnswer: -59*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*d**5 - 186*d**4 + 158*d**3 + 162*d**2 - 184*d + 24 = 0. Calculate d.\nAnswer: -1, 2\/13, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7020749347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155)\/(-3255)*(-56)\/(-48).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = 3*f - 41, -5*j - 27 = -f. Let x = -5 + 7. Let v be (1\/x)\/(3\/24). Solve v*c + 1 = -f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 74. Solve -k - 3*k - 24 = -4*o, -12 = h*k - o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - (-10)\/(-4)*6\/(-5). Let f be (10*s)\/(1\/(-6)). What is the greatest common divisor of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1311 + -10475\/8. Find the common denominator of b and 67\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/15, 6\/89, -80\/93?\nAnswer: -80\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 52230?\nAnswer: -52231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75e1 (base 15) to base 8.\nAnswer: -60601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/(f*f*f\/f**(-2))*f**(1\/8)*((((f\/(f\/f**(-3\/7)))\/f*f)\/f)\/f)\/f assuming f is positive.\nAnswer: f**(-633\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1444008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1010 and 0.5.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102 + 108 + 105 - 311 - 87*j**2 - 11*j**2 to the form r*j + k + n*j**2 and give n.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txttxtt. Give prob of sequence txt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 + 48. Let i be y(0). Let m = -52 - -53. Let g be m\/(-2)*(-20 - -8). What is the highest common divisor of g and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z + u - 25, -2*u - 20 = z. Let y be z\/6 - 2\/(-6). Let q be (2 - 3*(-4)\/12) + -5. Are q and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1212, 7438, 13664, 19890, 26116, 32342?\nAnswer: 38568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71020?\nAnswer: 2, 5, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 197830, 1582630, 5341368, 12661012, 24728530, 42730890, 67855060?\n\"Answer: 197828*d**3 + d**2 + d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v + 4. Let m = -856 - -952. Calculate the remainder when m is divided by b(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 + 4)*(30*s - 41*s - 108*s) + (2*s - 2*s - 2*s + (2 - 3 - 1)*(-1 + s + 1) - 1 + 1 - 2*s - 2*s + 2*s + s)*(-5 + 2 + 4))*(s**3 + s**3 + 6*s**3).\nAnswer: 1864*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + 8*h**2 + 3*h - 31. Let i be d(5). Let b be (684\/16)\/((-1)\/4). Let r = i - b. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12954867 divided by -12954867.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + -35 + 45)*(-20 + 1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 3*i**2 - 5*i + 4. Let a be j(-5). Calculate the lowest common multiple of 1 - 3\/((-3)\/2) and 9*(2 + -9)\/a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1042 - 0?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 1}. What is prob of picking 3 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**4\/4 + 5*u**3\/3 - u**2 - 4*u - 9. What is n(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1288 - 3807. Let d = l - -50463\/20. Let c = -2923 + 46743\/16. Calculate the common denominator of c and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 11:47 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*2797.59\nAnswer: 1398.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 47 = -2*b, -b - 3*b - 5*w + 101 = 0. Suppose -4*t + 21 = -3*j, 3*t - 4*j - j - b = 0. Suppose 0 = t*d - 1 - 2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.7 from -3.3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v**2 + 5*v + 6. What is the units digit of k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1212\/4291 - 2\/613. Let z = -49 - -49. Let k = -1 + 2. Which is the closest to z? (a) -4\/3 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5075714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5847194628+-1.6\nAnswer: 5847194626.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**2\/2 - 2*i - 2. Let y be u(-2). Is y at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.06 times 532.2\nAnswer: -564.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 469450 and 72980?\nAnswer: 83562100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*l = -16 + 34, -2*p + 4 = 4*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3122130 by 7.\nAnswer: 3122130\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34669 - -1291.05956.\nAnswer: 35960.05956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12830\/9 or 1425?\nAnswer: 12830\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 535132776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2946 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203103 + -32221013?\nAnswer: -32011310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/8 + 81*h**2\/8 - 159*h\/8 + 79\/8 = 0. Calculate h.\nAnswer: 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -654 (base 16) to base 15\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 11*v + 14. Suppose 5*j - c = -5, v*c - 1 = j + 6*c. Do -9\/41 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*z = 39 + 16, 3*h - z = -31. Let f = h - -14. Suppose 0 = 3*j - 29 - f. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -3. Let k(f) be the second derivative of f**3\/3 + 4*f. What is the remainder when k(s) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 1. Let x(d) = -4*d - 2. Let i = -30 - -46. Let a = -29 + i. Determine a*u(m) - 6*x(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/31, 2\/3, 1\/110?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 798 divided by 38\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 2*r - 6*i + 16, 4*r = -3*i + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 6*r**2 - 7*r. Let x be o(-7). Suppose -f - 3*s + 14 = 0, 4*f + x*f - 3*s = -4. Is 4 a factor of 9 + (f - 0)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 3150?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*o**2 - 6\/7 - 4\/7*o.\nAnswer: 2*(o - 3)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-1)\/2). Let k be -1 + (-3)\/3 + 3. Let u be 4\/(-8) - k\/6. Is u bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*p**2 + 458*p**2 + 466*p**2 - 369*p + 474*p**2 - 1873*p**2 + 369*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 40*i**2 - 244*i + 431. Let u be s(33). What is y in 2\/7*y**5 + 18\/7*y**3 + 4\/7*y + 0 - u*y**2 - 10\/7*y**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {n: 1, y: 12, q: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9676 times 41680\nAnswer: -403295680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215 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: Evaluate -10 + 145 + ((10 - (-12 - -10)) + 15 - 13).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 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: Solve -4*t + 27 = -4*x - 13, 3*x - 10 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**7\/30 - y**5\/60 - 8*y**2. Find the third derivative of x(m) wrt m.\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.925522 weeks to nanoseconds.\nAnswer: 559755705600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + m + 15 + 1)*(3*m + m - 2*m) to h + r*m + u*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*f + 45 = 0, 0 = 5*y + 91*f - 95*f + 75 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -1)*(-5 + (-38)\/(-6)). Suppose j = -4*f + 29, -h*j + 0*j + 211 = -3*f. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:49 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -398.3 + 391.3. Sort a, 3, 2\/7, 5 in increasing order.\nAnswer: a, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - x - 14*x + 12*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 478*t**2 + 3*t - 15. Let p be c(5). Find the first derivative of 103 + 0*x - p*x**4 + 11954*x**4 + 3*x wrt x.\nAnswer: 16*x**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vee when three letters picked without replacement from veeevveveeeeev?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*i + 70 - 38 - 584*i.\nAnswer: -663*i + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0285 + -61.0715. Let z = 62 + h. Put 2\/3, z, -0.2 in ascending order.\nAnswer: -0.2, 2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:06 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -846*-0.0538\nAnswer: 45.5148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 800626*a + 6. What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*c - 20, 3*c + 4 = -3*i + 2*c. Suppose u + 2*u = 0. Let t be -7*3\/(-21)*9. Solve u = -i*b - 3*b - t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**2 + 3*a + 3. Let p be z(0). Suppose p*r + 5*y = 6, 0 = -7*y + 3*y. What is the least common multiple of r and 458?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9018 - -9023. Solve y*n - 2*n + 12 = -3*q, -4*n = -3*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*g**3 + g**4 - g**2 + 93*g**3 + 2 + 0*g**2 - 186*g**3 - 7*g as y*g**2 + q + x*g**3 + t*g**4 + o*g and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x - 7. Let v be t(5). Suppose 0 = 30*u - v*u - 8. Suppose 0 = -6*c + 11*c - 15. Solve c*w + 2*d = d + 9, u*w = 4*d + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/29))\/m*m\/(m*m*m\/m**(3\/29)))\/((m**(-3\/10)*m)\/(m\/(m**(2\/13)\/m*m))) assuming m is positive.\nAnswer: m**(-6339\/3770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225565 (base 8) to base 7.\nAnswer: -436334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10805 times 19.581\nAnswer: 211572.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) + (-3)\/72. Let v = -8 - -5. Let p = v + 0. Put y, p, -2\/19 in ascending order.\nAnswer: p, y, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75*v + 3743 + 6162*v**2 - 3743 + 75*v)*(-v + v + 2*v) in the form r*v**3 + d + a*v + g*v**2 and give r.\nAnswer: 12324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 5*y + 4. Let r be (0 - 2*-1)*3. Let o be b(r). Let f = 13 - o. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2885240978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 - 247. What is the nearest to -2\/3 in 0.17, 1\/3, q, -5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4 (b) -7 (c) 2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/10911 and 67\/138?\nAnswer: 501906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.077? (a) 1.47 (b) 0.2 (c) 48.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3298 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(44359\/(-243551) + (-2)\/(-11)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 1, e: 2, q: 1}. What is prob of picking 1 e and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23525 - -38253. Let g be n\/20 + (-8)\/20. Suppose -g = 2*f - 3918. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 19*g**2 + 55*g - 6. What is z(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 2\/19, 0.9, -3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 + -3)\/(3473798\/385968 - (-9)\/(-1))?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1011 and 105481.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**2 - 26*g + 108. Give u(0).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 269 - 278. Sort r, -0.4, 1, -1\/3.\nAnswer: r, -0.4, -1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -202335903?\nAnswer: 202335902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*x = 151*x - 1776. Suppose -9*g = 66 - x. Solve 6*p - g*p = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3\/2 + 582*r**2 - 113091*r\/2 + 55965 = 0. Calculate r.\nAnswer: 1, 182, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-2))\/(4\/224) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvo when three letters picked without replacement from {v: 9, o: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/10)\/7*(-20)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/14 + 9\/2. Let i(k) = k**3 - 9*k**2 + 11*k + 19. Determine i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8529145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 2}. What is prob of picking 1 u and 1 t?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, o: 3, r: 2}. What is prob of sequence rrpp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327422526 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 l when four letters picked without replacement from ifxffrxwilrlwf?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 1. Let i = 13.34 - t. Let c = 0.04 - i. What is the nearest to 0.1 in 0.2, 1\/4, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**5*h**3 - 17*g**5*h - 2*g*h**3 - 66*g*h**2 + g*h wrt g?\nAnswer: 120*g**3*h**3 - 340*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 3*a + 2*a)*(177 + 118 + 467 - 322) to y + k*a and give k.\nAnswer: 2640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (-62)\/12)*(-109 - 281). Let r(o) = 26*o**2 - o. Let m be r(1). What is the highest common divisor of q and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.57 + 0.43. Let z = i + -17. Suppose 3*w - 3 = 2*y, 1 = w - 4*y - y. What is the nearest to w in 2\/13, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i + 5*i - 2*i)*(-2 + 0 - 4)*(-21 + 11 - 17)*(0 + 0 - i).\nAnswer: 648*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 0 + 12*q + 1\/18*q**3 + 1\/18*q**4 + 0*q**2. Let y(g) = 0. What is g?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29\/5 (b) -5303 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33.2 from -11.4672.\nAnswer: 21.7328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((75\/(-125))\/(1\/(-5))). Suppose 4*i + r - 3 - 17 = o, 5*i - 5*r = 50. Suppose f = -2*f + 27. Calculate the greatest common divisor of i and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + -3*(sqrt(448)*-1 + (sqrt(7) - -5*sqrt(112))).\nAnswer: -39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203\/5 - 41. Suppose -3*s + 62 = 65. What is the closest to u in 5, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 79*c**6\/5 - 91*c**4\/12 + c**3 + 2*c + 243. Find the third derivative of p(d) wrt d.\nAnswer: 11376*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/9*(-6)\/(-10). Let d = 5 + -8. Let n be d\/27 + (-8)\/36. Which is the nearest to -1\/5? (a) -2\/9 (b) m (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 2*y**2 + 3*y + 3. Let d be m(-3). Suppose -2*g + d = -3*q - 0*g, -3*q = -5*g + 21. Is -3 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*f - 89*f = -70*f - 2282 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (21\/(-14))\/((-3)\/248)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - z - 1, -4*z + 28 = 4*y. Let u = 7 - 4. Let s(v) = 3 - y*v**2 + v**u - 5*v**2 + 4*v**2 + 3*v. Determine s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3937456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -69. Put -1, 4, p in descending order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 148?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 32*t**2 + 32*t + 15. Let c be s(-31). Calculate the lowest common multiple of (4\/4)\/((-8)\/c) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**2 + 3. Let f(y) = y**2 - 7*y - 6. Let k be f(8). What is the units digit of i(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12*(-63)\/42.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.68 - -2.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/6*0 + (166 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 1.5549?\nAnswer: -3.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -637*f**5\/20 + f**4\/4 + 9*f**2 - 456*f. Find the third derivative of y(q) wrt q.\nAnswer: -3822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.3 + -1429281.\nAnswer: -1429292.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205 and 2611700?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/7 + 126*n**2 - 16362*n\/7 + 74358\/7 = 0?\nAnswer: -459, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0963497 hours in days?\nAnswer: 0.0456812375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.374 + -0.264. What is the second smallest value in b, -2\/23, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-448)\/(-120) - (-156)\/585) + 24\/(-14)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 2*j - 3*j)*(31 - 46*j**3 - 31 + (j**2 - 9*j + 9*j)*(j - 2*j + 2*j)) as g + b*j**2 + r*j**4 + y*j**3 + i*j and give r.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**2 + 78*m - 448 = 0. What is m?\nAnswer: 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p + 4*p + 3 + 4*p)*(p + 0*p - 5*p) to the form z*p + d + h*p**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 52, 68, 90, 118, 152?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41187024 and 6245.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11222\/23 + -488. Put d, 1, -3\/7, -1\/7 in increasing order.\nAnswer: -3\/7, -1\/7, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 1 - (-5 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134144 (base 6) in base 2?\nAnswer: 100101001111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*h + 939 = 4*k, 21 = 26*h - 28*h + 5*k + 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5724 by -954.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9*24\/(-315))\/(3\/(-10))\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 - 4*r + 3. Let d be k(1). Suppose 4 = d*v - 4. Let m = 44.9 - 39.9. What is the smallest value in m, 2, v, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 589 and 682?\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4894007 is divided by 153.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 421718 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 6. Suppose 26*y = 28*y - 12. Suppose y*q - 7*q = -5. Give i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**2 + 2*f**2 - 3*f**2)*(-1 - 2 + 5) - 38*f + 38*f + 90*f**2 + 200*f**2 in the form n + o*f**2 + q*f and give o.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppppppppxpppxppxxp.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11906.\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3991*f - 3178 wrt f?\nAnswer: 3991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156) + sqrt(39))\/(sqrt(54)\/sqrt(2)) + (-1*sqrt(65)*-4 - sqrt(65))\/(2*sqrt(80)).\nAnswer: -31*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -10. Let m = s - 4. Solve -r = r - m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12211.\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 0 (c) -4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3\/3 + r**2\/2 + 7*r + 1. Let z be q(0). Let n(w) = 3*w + 1. Is n(z) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from kkook?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2348533771 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 934 - 627. Are 307 and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5489 = 4*k, -6*j + 3*j = -3*k + 4098. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1*(-3)\/9). What is the third smallest value in 2, o, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 144*f - 28. Let t be z(1). Find the third derivative of -11*p**3 - 267*p**2 - 2*p**4 - 167*p**2 + t*p**2 wrt p.\nAnswer: -48*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuvds.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 22. Let w = -6 - g. Which is the nearest to w? (a) 3\/4 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 - 572*p + 9767. Give k(-130).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 35008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u = 98867 - 104035 for u.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 903406\/517 equal to 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(24\/14 + (-6)\/(-21)). Suppose -6800006 = -h + v*d, 5*h - 21846859 = 5*d + 12153156. Round h to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446993 (base 14) to base 16\nAnswer: -237375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from jfxmu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-49)\/(-21))\/((-2)\/36). Let b = g - -44. Let p be (b - 5)\/((-6)\/(-4)). Is -2 != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k**2 + 40*k - 40. Let r(g) = -g + 1. Let b(u) = -40*r(u) - x(u). Let h(y) = y. Determine b(h(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 80 (b) 0.1 (c) 0 (d) -23 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195545.\nAnswer: 5, 7, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75672?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 248*u**3 - 244*u**2.\nAnswer: -4*u**2*(u + 1)*(u + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/7, -156296, 5, 0.4 in increasing order.\nAnswer: -156296, -2\/7, 2\/11, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 5*v + 6. Suppose -w + 23 = -3*q, 2*w + 2*q - 6*q - 36 = 0. Let y = w - 3. What is x(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -75*h - 296 + 71 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcubuuc. Give prob of picking 3 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10277311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/140 - 37*s**4\/56 + 152*s**2. Factor d(o).\nAnswer: 3*o*(o - 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 9*l - 26, 2*t + 3*l + 74 = 85 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 + 15.18. Let m = 17 - a. What is the third biggest value in m, -4, 1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/37 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**5\/20 + q**4\/4 - 5*q**3\/6 + q**2 + 3*q. Let l be z(3). Suppose -3*t + 93 = -3*k, 2*k - 8 = t - l. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8*c = 0. Calculate the smallest common multiple of 10 and -2*(c + (-8)\/4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcgtgmdd. Give prob of sequence td.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 903256 * -4\nAnswer: -3613024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60.1 + 60. Let k = 26 - 24.7. Let j = 481 - 480. Which is the third smallest value? (a) -5 (b) p (c) j (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 44*c**3 + 280*c**2 + 400*c.\nAnswer: 2*c*(c + 2)*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:05 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -338 + 343. Suppose -k - 4*p + 10 = 0, -r*p = 3*k - k - 14. Solve -8 = 3*u - 2*j - 0*j, -k*u + 2*j = 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + 99*k**2 + 14*k + 81*k**2 - 62*k**2 + 28*k**2 + 29*k**2 wrt k?\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2618 and -73\/952?\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + 32 + -19 - 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 17)*(t - t + 2*t).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -21 (b) -2\/9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 5*d**2 + d**2)*(3 + 3 - 7) - 2*d**2 + 0*d**2 + 4*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 - 5016\/(-15). Let l be (-4)\/(-14) - b\/(-56). Factor 0 - c - l*c**3 + 5*c**2.\nAnswer: -c*(5*c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**2. Suppose 1 = -2*v - 7, 2*a = 8*v + 56. Let g(y) = 58*y**2 - 11*y**2 - a*y**2 - 17*y**2 - 10*y**2. What is b(g(s))?\nAnswer: -704*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Suppose -u + 0 + t = 0. Let s = -6 - -6. Solve s = -u*q + 5*z - 36, -5*q + 2*z + 9 - 37 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 40 = 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1))**(-13)*(f\/(f\/(f**(-1\/4)*f)))**(1\/10))**(1\/4))**(-12) assuming f is positive.\nAnswer: f**(-1569\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11043, -22041, -32983, -43869, -54699, -65473?\nAnswer: -76191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1105 - 1?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -1\/54*b**4 + 0*b**3 - 2*b + 0 + 0*b**2. Find r, given that d(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 64*n - 367. Let p be h(-23). Solve 353 = 50*w - p for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/189618608 and 109\/106968?\nAnswer: 568855824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*w = 31771 + 18161, 4*w = g - 10004. List the prime factors of g.\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959915?\nAnswer: 3, 5, 193, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(90\/6) + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 8) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5 + 2408166*f**4 - 9632696*f**3 + 32*f**2 + 38530752*f - 38530784 = 0.\nAnswer: -1204087, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 14*a - 3. Let p = -14838 + 14844. What is v(p)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1574*x + 1600*x - 567 + 73 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 7*j + 18. Let m be n(-9). Put 2, m, -3 in decreasing order.\nAnswer: 2, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-18480)\/(-22))\/28)\/(-1))\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63)\/(-69)*(-15 - -1). Which is bigger: l or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-3 - sqrt(2))*3 + (sqrt(2) - (sqrt(200) + (sqrt(200) - (sqrt(200) + 1 + sqrt(200)) - sqrt(200) - sqrt(200)))))**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 407 and 27755846.\nAnswer: 305314306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17978 divided by 8989?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 135, 0.38, -1\/4?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzuuwuuuzuwuzw. What is prob of sequence zzw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/5 (c) 0.07 (d) 83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus 3.38761038?\nAnswer: -11.61238962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2 - 6*h - 3*h - 1 - h**3 + h. Let j be f(-7). Does 14 divide (28 + 0)\/(j\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2 + 3 - (-6 + 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201\/1799761 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxexxxejjjx. What is prob of picking 1 e and 3 j?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6458530 to the power of 1\/2, to the nearest integer?\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 261344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5269749?\nAnswer: 3, 151, 11633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 8692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.777.\nAnswer: -3.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*l**3\/5 + 2*l**2\/5 - 24*l\/5.\nAnswer: 2*l*(l + 1)*(13*l - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -25\nAnswer: 31\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519067491.\nAnswer: 3, 29, 43, 89, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29982821449 and 1344?\nAnswer: 29982820105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and 46\/13026273.\nAnswer: 130262730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -174, 7863, -0.5 in increasing order.\nAnswer: -174, -0.5, -0.3, 7863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -181.0000516. What is t rounded to six decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -6.653\nAnswer: 6.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:59 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h - 8*h + 637 - 48*h**2 - 636.\nAnswer: -48*h**2 - 21*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 68 + 6*x)*((2 - 2 - 2*x)*(-5 + 5 + 1) - 2*x + x - 2*x - 2 + 2*x + 2) to the form y*x + b + h*x**2 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 5, p: 3, x: 4, f: 4}. What is prob of picking 1 x and 1 q?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -177*j + 39. Let i = 126 + -129. Does 12 divide z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/2089 - 169689\/167120. Find the common denominator of (-8)\/(23 + -47) + -2*79\/96 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2229384 is divided by 22511?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/3 + 8*u**4 - 98*u**3\/3 + 60*u**2 - 152*u\/3 + 16 = 0. What is u?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -57 (b) -84 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2. Let t(g) be the third derivative of -3\/4*g**4 - 4*g**2 + 0*g + 2 + 0*g**3. Give r(t(o)).\nAnswer: 1296*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 7987 and -1529 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2151 + 0*y - y + 2151.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 656673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004092 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -184050, -736147, -1656318, -2944569, -4600906, -6625335, -9017862, -11778493?\n\"Answer: -u**3 - 184031*u**2 + 3*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 817106 bigger than 17976317\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t**2 - 145*t - 670. Let o(d) = -d**2 - 18*d - 84. Let y(i) = -3*c(i) + 25*o(i). Factor y(s).\nAnswer: 5*(s - 6)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*s + 91*s + 2*s to the form y*s + d and give y.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82 + -37 + -123 + 0.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2111.0873 + 2111. Are -2 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*n + 18*n + 2. Let q(g) = -2*g**3 + 2*g**2 + 2*g + 2. Let y(o) = o**2 - o - 1. Give n*q(s) + 2*y(s).\nAnswer: -2*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7.81. Let p = -0.09 - y. Which is the second smallest value? (a) p (b) -3\/2 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.1482 litres in millilitres?\nAnswer: 78148.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.061 - -0.031. Let i = 1 + 3. Suppose -i*t + 2 = 6. What is the nearest to t in 2\/5, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 313653919950397 and -0.3?\nAnswer: 313653919950397.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Let t be 19*1*(-3 + 2). Let n = t - -20. Put -4, n, u in ascending order.\nAnswer: -4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, n: 3, p: 2, o: 6, h: 4, l: 1}. Give prob of sequence pohv.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*h**(2\/3))*h**(2\/13)*(h**1*h)**(-22)*((h\/h**5)\/((h**6\/h)\/h))\/((h**5*h)\/h**(-4)) assuming h is positive.\nAnswer: h**(-2477\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.941154 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/97, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 8*p**2 - 2*p + 113910*p**3.\nAnswer: 113910*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.99 + 0.89. Let v = 0.3 - 0.1. Which is the closest to z? (a) 3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3986*x. Let s(n) = 12*n. Calculate s(i(r)).\nAnswer: -47832*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2198351231 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3044*2\/(-10 + 5 + 1)?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23794001 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/24*18\/4 - (-40723320)\/10560 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 12*y**2 + 8*y - 26. What is p(-8)?\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3 + 22. Let d = p + -19. Let l = 48 + d. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2444.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1885, 7684, 17363, 30934, 48409, 69800, 95119?\n\"Answer: 2*n**3 + 1928*n**2 + n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 10\/3, -0.03352, 2\/13 in decreasing order.\nAnswer: 10\/3, 2\/13, -0.03352, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(57\/54 + -1). Let n = 38 - b. Let p = n + -8. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 + 4 = 0. Let s be (54005\/308 - (-5)\/(-55)) + (-4)\/16. What is the highest common factor of a and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cthda. What is prob of picking 1 d and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4454266 - -0.016506899?\nAnswer: -4454265.983493101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 21. Let w(s) = -27*s**2. Determine w(g(r)).\nAnswer: -108*r**4 + 2268*r**2 - 11907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10219599 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000200 (base 3) in base 4?\nAnswer: -23223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/19 - 196*j**2\/19 - 3136*j\/19 + 832 = 0.\nAnswer: -76, -26, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90051032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 719824663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:16 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216 - -74. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3831, -15446, -34807, -61920, -96791?\nAnswer: -139426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160 - 371 + 1452)*(-1 + 1 + o**2)*(-2 - 1 + 1).\nAnswer: -1842*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 8 = 0. Suppose 146 = o*z - 4*v, -98 = -2*z - 3*v + 55. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - (6 - (3 - -3 - 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.2 (c) -1056943\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8092 is divided by 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9952 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -44?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/24 and 17\/143658.\nAnswer: 574632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**5\/120 + f**4\/2 - f**3\/3 + 2*f. Let i(l) be the second derivative of v(l). What is the units digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40491?\nAnswer: 3, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32526 and 5004.\nAnswer: 65052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -33 + (-1 + -4 - (10 + -1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, r: 7}. What is prob of picking 2 r and 1 q?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8817 - 0.1183. Let j = 218\/7 + -221\/7. Let h = -4 + 3.8. Put j, s, h in descending order.\nAnswer: h, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8781 - 4*c + 8784 + 61*c**2 + 4*c as x*c + t + v*c**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104114921?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009745623 rounded to six dps?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from bbbbnbbuc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 99 + 14209 + -14357\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.05 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 1 - (64 - 47) - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.3, 0.3, -5, 1\/663, 0.2?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 44\/25, 35?\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 25 = 2*t, -t + 0 = -2*m + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 4*k**2 - 4*k - 4. Let i be f(5). What is the greatest common divisor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7942 and -91\/3344.\nAnswer: 63536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30265*g + 3360 = 30055*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 + 5*c**2 - 5*c - 5. Let p(l) = l**3 - 2*l**2 + 3*l + 3. Let r(m) = -3*i(m) - 5*p(m). What is the third derivative of r(f) wrt f?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4, -310\/7, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 16 = -4*k. Put -7, 5, k, -0.5 in decreasing order.\nAnswer: 5, k, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 17*r**2 + 124*r + 78. Calculate w(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -838 + 837.5439. Let y = 256.5561 + u. What is y rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2\/7 - 328*j\/7 + 1020\/7 = 0.\nAnswer: -85, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -9?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-79)\/79)\/((-8)\/24*(-390)\/4).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69608\/57 or -1220?\nAnswer: -1220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5282185, 5282186, 5282187?\n\"Answer: a + 5282184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.7 and 3.62?\nAnswer: -35.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y = -48. Let u be (-2)\/y + (-49)\/6. Let v = 4 + u. Let i(p) = 1. Let x(d) = d - 3. Determine v*i(a) - x(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3929126 is divided by 316?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13763\/12 - 7381\/4. Let z = p - -699. Let 5\/6 - 1\/6*y**4 - z*y**2 - y + y**3 = 0. What is y?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315624 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {p: 2, a: 3, z: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3846146577?\nAnswer: 3, 7, 13, 14088449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i + 19. What is q(-8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3*l + 7. Calculate q(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(91)\/sqrt(28))**2 - sqrt(65)\/sqrt(245)).\nAnswer: -sqrt(13)\/7 + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p, -2*k + p + 1 = 4*p. Let z(h) = 5*h - 24*h**k - 29*h**2 + 54*h**2 - 2*h. What is the tens digit of z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262855 minus -43?\nAnswer: 262898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(0 - (0 - 3)). Suppose v*h + 56 = 4*h. Let f be ((-7)\/3)\/(2\/(-96)). What is the highest common divisor of f and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 8*d = 0. Suppose -p + 4 = d, 5*g + 18 - 2 = 4*p. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (-82698)\/2002)*(-403)\/2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4))**(3\/13)*r**(-8)*r**(-2\/9)\/r assuming r is positive.\nAnswer: r**(-4289\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -756 - -758. Let b = -26 - -26.5. What is the second smallest value in 3, b, m, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 359470823*g**3 - 309560*g**2 - g wrt g?\nAnswer: 2156824938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/3*(-6)\/(-1). Let z(a) = -1. Let m(r) = r - 2. Let d(q) = -m(q) + 2*z(q). Let x be d(w). What is the greatest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2 + -7 - -2). Let p = 14\/25 - 3\/50. What is the third biggest value in p, 10, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5940646.\nAnswer: 2, 37, 80279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2*-6)\/(sqrt(72)\/(sqrt(768)*2)) + 4.\nAnswer: -576*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -449*l + 453*l - 28, 5*l = v + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 5*m - 47. Let a = 182 - 179. Let r(t) = -2*t**2 - 9*t + 96. Let b(k) = a*r(k) + 7*c(k). Differentiate b(q) with respect to q.\nAnswer: 2*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from vxvpvvx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = r - 11, 3*r - 3*s + 18 = 5*r. Let i(b) = b**3 - 9*b**2 + 8*b - 3. Let d be i(8). What is the least common multiple of d*(-33)\/9 + 0 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/3)\/(y**(-6)*y)*(y**(-4)\/y*y)**(-6) assuming y is positive.\nAnswer: y**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2815439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 106, 115, 124?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57642650.\nAnswer: 2, 5, 13, 88681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -43.69. Let l = -0.11 - r. What is the third smallest value in l, 0, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 1\/(2 + -1). Suppose 38*m - 1 = 37*m. Is j smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(286\/(-4)) - 72\/(-33). Is -1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-9)*16\/8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 10. Let x be t(8). Let m(o) = 1 + 4*o - 2*o - x - o**2 + 7*o. Calculate the remainder when m(8) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10596144 - -8.\nAnswer: 10596152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**7\/252 - c**6\/180 + c**5\/40 + 5*c**4\/72 + c**3\/18 + c - 36. Factor k(n).\nAnswer: -n*(n - 2)*(n + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -16, -1, 3, 2821.\nAnswer: -32, -16, -1, 3, 2821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -300002*n - 10. Let w be i(-5). What is w rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -25, -44, -61, -70?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338808272.\nAnswer: 2, 11, 1925047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -2*u + 18, 23*u + 30 = 27*u + 9*s for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by -425\nAnswer: -107\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(2736) + 1)**2) - (sqrt(475)*1 + 1 + 3)**2.\nAnswer: 32*sqrt(19) + 7705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.07, -3\/2, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 17*d = 18. Let h be 210\/(-45)*(-6)\/4. What is the tens digit of -3 + h - (6 + d - 123)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 0, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/39 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/32 + 21\/32. Suppose -3*i - h + 1 = 0, 3*i - 2*i = 3*h - 13. What is the nearest to -1 in i, -6\/7, d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-three fifths of a gram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36\/91 - -1249\/1547. Is -1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 124\/(-217) + (-46)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4184*y + 4184*y + 782*y**2.\nAnswer: 782*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126576 - -335?\nAnswer: -126241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -70253\/132 and -532 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3401, 6591, 9757, 12893, 15993, 19051, 22061?\n\"Answer: -s**3 - 6*s**2 + 3215*s + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 32 = -2*k - 25*r, -10*r = -4*k - 8 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*g - 194000 = 70*g. What is g rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71605114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.46 + -74.44. Let r = 6.9 + g. Let s = r + 72.9. Is s < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 0*z**2 + 7*z**2 - 6*z**2. Let y(b) be the third derivative of b**4\/4 - 14*b**2. What is m(y(v))?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -474*h + 468*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2*27\/(-9). What is the highest common divisor of 132 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 78 + 267 = 0. Let h = 186 + 3. What is the greatest common divisor of g and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0049 and 1.2.\nAnswer: 1.1951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15602761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**4 + 31*b**3 + 1072*b**2 + 3635776*b wrt b.\nAnswer: 36*b**2 + 186*b + 2144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18))*-2.\nAnswer: -6*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6398857 + 3.\nAnswer: 6398860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55 or -4\/117?\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h - 40. Let p be w(-9). Suppose -f + p*j = j - 18, 8 = -2*f - 3*j. Let u(y) = 3*y**3 - 4*y**2 + 4*y - 2. Determine u(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.1 (c) -2.5 (d) 132 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y**2 + 6*y - 23*y**2 + 18*y - 46*y + 15*y + 11*y.\nAnswer: -y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -21*w**2 - 301*w + 11. What are the prime factors of h(-12)?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56200 and 1457725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2\/8)\/(486\/(-216))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*o + 39989 = 4*x, -5*x = -3*o - 66680. Suppose -3*f + 55045 = x. Let i = f - 292043\/21. What is the common denominator of i and -65\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 70 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 12) to base 15\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b704b (base 13) in base 11?\nAnswer: 8a6576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73.314 + 73.514. Let n = -60 + 361\/6. What is the nearest to -0.06 in -4, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 20*d**2 + 14*d + 69. Is u(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = 2*c. Let v(u) = 3*u + 4*u - 3 - 3*u. Let f(y) = 13*y - 9. Let l(o) = c*f(o) + 7*v(o). Find the first derivative of l(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/15 + 22*o**3\/15 - 76*o**2\/15 + 104*o\/15 - 16\/5 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5347163 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223 by -24678.\nAnswer: 223\/24678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 216 and 392527.\nAnswer: 392743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (76\/(-5))\/((-105)\/25 + 4). Let c = i + -65. What is the remainder when 41 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i - 2*y, -3*i - 2*i = y - 30. Let x be (16\/(-10))\/((-2)\/i). Solve -29 = -x*w - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/12 - 5*b**3\/6 - 2*b**2 + 10*b. Does 23 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1360 = -5*v, 4*v + 258 = 5*i - 834. Let m = v + 634. What are the prime factors of m?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18414 is divided by 1315.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 94*u + 1475. Let t(m) = 280*m + 4448. Let c(v) = -16*o(v) + 5*t(v). What is the first derivative of c(k) wrt k?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1432 or 5731\/4?\nAnswer: 5731\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -15216?\nAnswer: -15218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 133500 (base 7) to base 11\nAnswer: 17aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1\/3, 14.12, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221499 is divided by 20113?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31279775.\nAnswer: 5, 31, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 353293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1827 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apaa when four letters picked without replacement from {d: 1, p: 5, n: 7, y: 2, a: 3}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 3. Let b be v(-3). Suppose b = 4*f - 13 - 143. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3*p + 48 = 0. Let l be (2\/(-4))\/((-2)\/p). Suppose -y + 5 = l. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**4\/4 - 11*f**3\/2 + 39*f**2 + 217*f. Factor u(q).\nAnswer: -3*(q - 2)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 231*f**2 - 58*f**2 + f. Let k be b(1). Let g = 253 - k. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -29. Let i = 23 - j. Let m be (-1)\/3 - (-2)\/6. What is the smallest value in i, 0.2, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 437999 and 1592?\nAnswer: 3503992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/504*-30*29\/(348\/336).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+5518098\nAnswer: 5518097.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-7*f + 5*f + 16*f)*(-4*f + 11*f - 7 - 5*f).\nAnswer: -56*f**2 + 196*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235.09 - -235.9. Let z = 1949 + -1970.81. Let y = n + z. Which is the smallest value? (a) -2\/13 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrtbbytrryrr. What is prob of picking 2 b?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/4*(-16)\/(-6). Let h be 34\/x - 12\/18. Solve -4*c + h*c + 24 = 5*q, 5*q = 4*c + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**2 + 14*i - 5. Let j(h) = -4*h**2 + 7*h - 3. Let q(y) = 7*j(y) - 3*t(y). What is the units digit of q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 25.6.\nAnswer: 10.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24639152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4149, 4, -8 in descending order.\nAnswer: 4149, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12121120?\nAnswer: 2, 5, 11, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*p + 21*p**3 + 24*p**3 - 76*p**3 + 27*p**3 + 2 + 43*p to the form t*p**2 + u + z*p + b*p**3 and give z.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 10 + 10 + 20 - 36 + 8*m. What is w(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**2 - 1\/90*l**5 + 0*l**4 + 0*l**3 + 38 + 0*l. Suppose q(k) = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (1*sqrt(125) + sqrt(125) + 2 + sqrt(125))) + 0 + 5*(sqrt(125) - (-2*sqrt(125) + -4)) + 3 + -5)**2.\nAnswer: 2080*sqrt(5) + 21381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9079 divided by -4549.\nAnswer: -9079\/4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 6*q - 9. Let p be j(7). Let t be 2\/(-6) + (64\/60)\/4. Let o = 1\/3 - t. Which is the second biggest value? (a) -1 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/20 in 0.5, -18\/53, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5626720071 divided by -3.\nAnswer: -1875573357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.2 - 12. Let z = t + -0.9. Let f = z + 4.7. Put f, 0, 4 in ascending order.\nAnswer: 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29325988 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 - 1936*m - 234256 = 0. What is m?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1598 and -2.279.\nAnswer: 3641.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 122*h + 10. Let s be i(-28). Is s at least 290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3418010?\nAnswer: 2, 5, 139, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 4. Let k(i) = -3*i - 5. Let d(a) = -6*a**2. Let w be d(-1). Let u = w - -2. Determine u*k(z) - 5*s(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -188255 + 20*s + 188211 - 34*s. Give a(-13).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x + 4*u + 9 = 0, -4*x - u = -2. Suppose 2*k + 5*s + 231 = 6*k, 0 = 4*k - s - 219. Let i be 8\/56 - k\/(-14). Solve n + i - x = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*o + 8 + 59*o + 70*o to the form u*o + m and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/33))\/(w\/w**(-15\/4)) assuming w is positive.\nAnswer: w**(-355\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 - 56 = m. Let z = -44477\/75 - m. Is 0 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:20 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1990368*y - 70073054 wrt y?\nAnswer: -1990368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-20)\/(5 + 0). Suppose 4*p - 172 = -r*w, -4*w + 217 - 2 = 5*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4 + 95. Let z = q + -32. Put 0, -3, z, -5 in descending order.\nAnswer: z, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 254717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 2, -19, -70, -163, -310, -523, -814?\n\"Answer: -2*s**3 + 3*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 103*q**2 + 1\/24*q**4 + 0 + 0*q**3 + 0*q. Let o(h) = -2*h**2. Determine l(o(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*o - 10, 0 = 4*o - 145*v + 5090 - 5666 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**3 - 67*u**2 - 24*u + 356. Determine t(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5139806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*20\/(-7 - 3). Let o be (1 - s - (2 + -2)) + 4. Let a(k) = k**3 + k**2. Let r be a(1). What is the highest common divisor of r and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from {x: 8, w: 2, h: 7, b: 1}.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 7?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 0*g - 8 = -h, 19*h - 19*h - 14*h = 4*g + 48 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30715*d - 23 - 30661*d - 21 to the form f*d + u and give u.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 18 = -o, -7 = 4*o - 4*v + 1. Suppose 8*w + 30 = 3*w. Let f be (-2)\/3*w\/4. Sort o, -4, f in ascending order.\nAnswer: -4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 2 + 6*sqrt(15)\/sqrt(5) - (((-5*2*sqrt(3))**2 - (sqrt(3) - (4 + -2 + sqrt(3)))**2) + 0).\nAnswer: -294 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.12+14261186616\nAnswer: 14261186616.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 88*c**3 + c**2 + 2*c + 2687?\nAnswer: 264*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*p - 278*p - 3 + 3.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6*-3*(-1895)\/(-45) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02758 take away 0.3?\nAnswer: -0.27242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953431.\nAnswer: 953431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o. Let m(k) = k**2 - k + 1. Let n(y) = 6*y**2 - 3*y + 3. Let h(i) = -6*m(i) + 2*n(i). What is h(r(x))?\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-12*(-3)\/2. Let f(t) = 3*t + 10*t - 16*t + 24*t. Let o(g) = -g**3 - 7*g**2 - 4*g + 13. Let n be o(-6). Let b(h) = -h. Determine n*f(q) + r*b(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 695, 1489, 2587, 3983?\nAnswer: 5671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21896464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1669520 is divided by 276?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128680, 257364, 386048?\nAnswer: 514732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**2 + a + 5. Let y(h) = -15*h**2 - h - 10. Let p(g) = -7*m(g) - 4*y(g). Let z(w) = -7*w + 1. Let o be z(1). Is p(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -7 + -1 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/26)\/((-11358)\/(-15144)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -5. Suppose p - q = 30, -p + 19 = 3*q + 1. Let i = -647\/24 + p. Are y and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 7 = -5*u, -4*u + 308 = 3*y + 303 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f**4\/7 + 1088240*f**3\/7 + 653092*f**2\/7 - 1218848*f\/7 - 522384\/7 = 0.\nAnswer: -6\/5, -2\/5, 1, 10883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 5*z - 8, -3*a - z - 6 = 4*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -171, 2\/5, -1\/4, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19088839.153 rounded to the nearest one hundred thousand?\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-2*r**4 + 32*r**4 - 17*r**4).\nAnswer: -26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8807 + 12452 - 5*l**3 + 4*l**3 + l**2 + l. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -183, 1 in descending order.\nAnswer: 1, 0, -2, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007597 less than -2427?\nAnswer: -2426.992403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2 + 18*p - 21. What is s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (68\/8)\/(4\/24). Let x = k + -43. Suppose -18 = -2*o + x. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 671\/2*(((-260)\/39)\/20)\/(33\/(-18))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-6)*(-27)\/27?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s + 157. Let x be h(-37). Let y(p) = x - 23 + 8 + 5 - 5*p + 8*p. Calculate y(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 82.90546 micrometers?\nAnswer: 0.00008290546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 50140198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60360 and 7560?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 6*p**3 - 10*p**2 - 10 + 10*p**2 + 11*p**2 + 5*p**3. Suppose 45 = 3*i + 3*t, 3*i - 6*t - 25 = -5*t. Is j(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17*n. Let m be l(-1). Let x(g) = -5*g - 1. Let i(p) = 0 - 3 - 54*p + 26*p + 14*p. Determine m*x(t) + 6*i(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390379006?\nAnswer: 2, 195189503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 + 3*f**2 - 18 + 65)*(-2*f + 9 - 9).\nAnswer: -6*f**3 + 194*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - -15) + 88 + -137?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*v + 2304*v = -18568 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -200 and -0.1.\nAnswer: -200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*n)*(-28 + 16 + 17 + n**3).\nAnswer: 2*n**4 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(4\/3)*v)\/v)\/((v*v*v**(-2\/3))\/v)*v**16*v**(1\/7) assuming v is positive.\nAnswer: v**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 954 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3583*k**2 + 100*k - 421. Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90, 104, 142, 210, 314, 460?\n\"Answer: w**3 + 6*w**2 - 11*w + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136755351.\nAnswer: 3, 43, 61, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25854*m + m**3 - 25854*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -84 + 28 + 113?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -14*h + 739. Let s be q(53). What is the closest to 0.1 in -2\/5, 0, 6, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d + d**2 - 1 - 4 + 1. Suppose -5*y + 28 = -v, 3*y + 27 = 6*y - 4*v. Calculate u(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-975)*(-50)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 4 + u)*(3 + 2 - 4) + 6*u + 38 - 38)*(-u - u - u) in the form v + c*u + q*u**2 and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -283, -248, -153, 32, 337?\n\"Answer: 5*p**3 - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379 less than or equal to 4369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 2. Let t(w) = 0*w - 46*w**2 + 18*w**2 - 2*w + 2*w. Determine l(t(s)).\nAnswer: -28*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1116996 divided by -279249\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255755?\nAnswer: 5, 51151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 22 = 21*p + 2*x, 3*p + 4*x - 8 = 0. Solve 1\/4*s**p + 1\/4 - s**3 + 3\/2*s**2 - s = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -5*p. Suppose x - 3 = -p*o, -x + o + 15 = 4*x. What is the third derivative of 0*y**2 + 10*y**2 - y**3 - 10*y**5 + y**x wrt y?\nAnswer: -600*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q + 155. Let u be j(17). Suppose -u*m = -46 + 16. Calculate the greatest common divisor of m and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7544191341797\/150395364 - -254898205\/5156. Let v = 264\/3241 + y. Let m = v - -726. Is m <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 2*a - 3*j - 12, a - 8 = -3*j. Factor -6*g**a - g + 4*g**2 + 3*g.\nAnswer: -2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 1 + 1)*(-4*b - 3*b + 3*b) + 2*b - 4*b + 3*b)*(-3*b**2 + 2*b**2 + 0*b**2) as m*b**2 + t*b**3 + x*b + o and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -31985.6025 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 6. Suppose -8 = -n*l - 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5 - 21. What are the prime factors of 696\/18 - u\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3170*f - 1994 = 3152*f - 6053*f + 1234 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + -0.2. Let w be 2\/4*2\/3. Let k = 1188 + -1188. Which is the closest to o? (a) -1\/5 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/14966 and -25\/22643558?\nAnswer: 22643558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 1, -2 in decreasing order.\nAnswer: 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*s**2 - 15*s + 15*s)*(173 - 173 - 14*s**2) as l + r*s**3 + d*s**4 + v*s**2 + i*s and give d.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*f + 306 = 0, 2*f - 284 = -2*m + 30. Calculate the remainder when 1932 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/9, 0.7 in increasing order.\nAnswer: -3, -2\/9, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793942751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000223958681 to 6 dps.\nAnswer: 0.000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 686816 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w = -4*q - 297 - 474, w + 0*q + 3*q - 34 = 0 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/30 and 41\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**2 + 2*m + 7. Let l(y) = 4*y**2 - y - 3. Calculate -9*l(q) - 4*n(q).\nAnswer: -4*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1734, -1737, -1742, -1749, -1758, -1769?\nAnswer: -1782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -19*u**3\/3 + u**2 - 30. What is the second derivative of d(c) wrt c?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/2*q**3 + 0*q**2 + 0 - q. Let v(c) be the second derivative of c**4\/6 - 4*c + 2. What is w(v(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322867879?\nAnswer: 322867879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2733 in 3.1, 2\/15, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.13 + -0.13. Let y = 52.336 + -52. Let h = y + 0.064. Which is the nearest to -0.2? (a) -2\/17 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 657 + -3074?\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:19 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 874 - 873.6. Put u, 18, -4 in decreasing order.\nAnswer: 18, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135905898 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 - (25 + -19)) + -22 + -24.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010708368 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 2*y**2 + 4*y**2 + 0*y**2 + 2*y**2 + 0*y**2 + (-3*y - 3*y + 4*y)*(-5*y + 0 + 0))*(-2*y + y - 2*y).\nAnswer: -33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 528693 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -5*s**4\/18 + 8*s**3\/9 - s**2 + 4*s\/9 + 127. Let z(q) = 0. Calculate q.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 0*n**2 - 5\/2*n**4 - 5\/6*n**3 + n + 10. Find the second derivative of q(v) wrt v.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -11. Calculate the remainder when 4 is divided by (1 + p)\/(0 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426886 is divided by 2831.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100664.1 - 100628.83665. Let z = 56.263287 - b. Let p = -21 + z. What is p rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 8*q**2 + q - 7. Let o(r) = 17*r - 3. Let t be o(1). Suppose -t = 2*k - 2. Calculate the remainder when f(k) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 3. Suppose -2*f + u + 90 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 940 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -329 - -329.00271. Round s to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33282128 is divided by 1101.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.732 * 2.\nAnswer: 137.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + 5 + -7 - (1 + -8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 969 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 717 = v, 570 = 4*x - v. Find the common denominator of -61\/10 and (-6)\/(-9)*x\/4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3182450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -3. Let w = q - 0. Let r = 0 - -2. Solve r*z + 12 = -w*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*a = p + 4*a - 18, -34*p + 87 = -5*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**8\/2352 - 3*q**7\/490 + q**6\/420 + 13*q**5\/105 - q**4\/7 - 32*q**3\/21 - 2664*q**2. Determine u, given that k(u) = 0.\nAnswer: -2, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - 5620917958 + 5620917958.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 241?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10547 and 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*y**2 - 43*y**2 - 20*y**4 + 3 - 3 - 2*y**4 + (-y + y - 2*y**3)*(1 - 1 + 2*y) - 3 + y**4 + 3.\nAnswer: -25*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38031807)\/12 + (-3)\/4. Suppose 2072692 = -4*i + 595420. Let y = d - i. Round y to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -702*f. Let n(i) = -2*i**2. Give n(x(c)).\nAnswer: -985608*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 755145841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/10)\/(6\/30). Let h = -1 + g. Solve 3*k = -h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5877961374.\nAnswer: 2, 3, 23, 42593923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 798, -14, 135, -5, 0, -2, -3 in ascending order.\nAnswer: -14, -5, -3, -2, 0, 135, 798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-626)\/10)\/(8\/32)*5. Let r = y + 3957. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 - 200 - 4*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28784*o - 60060*o + 23730*o to m + g*o and give g.\nAnswer: -7546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t + 3*z = 49, -t + z + 7 = 0. Let i(g) = -18*g**3 - g. What is the remainder when i(-1) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 6*c + 65 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 + 18*a**2 + 23*a - 3. Let f(o) = -8*o**3 + 15*o**2 + 16*o - 2. Determine -4*f(l) + 3*i(l).\nAnswer: 11*l**3 - 6*l**2 + 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(((3 + -1)\/4396)\/1250). Round a to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 11, 2 in descending order.\nAnswer: 11, 2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 577082878 and 303.75.\nAnswer: 577083181.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185282 (base 11) in base 3?\nAnswer: 112111011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18*(-1)\/28)\/(3 - (-126)\/(-49)). Which is the second biggest value? (a) -0.1 (b) -0.02 (c) u (d) -1\/3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4. Suppose 5*q - 15 = b, 7 = o + 4*q - 3. Let z = 8 + -5. Sort -4, o, z in descending order.\nAnswer: z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -77. Calculate the least common multiple of i and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(418)*-2*-4)\/sqrt(11))\/(-2*sqrt(8)\/(sqrt(24)\/sqrt(6))))**2 + 5.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 36. Suppose -3*m = -3*y + 207, -287*y - 321 = -292*y + m. What is the greatest common divisor of i and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045 less than -11891583293?\nAnswer: -11891583293.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 7*j = 38. Let q(c) be the first derivative of 0*c + 2 + 5\/3*c**3 + c**j. Find the second derivative of q(m) wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 28, 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -292\nAnswer: -2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*5\/(30\/(-3)). Let d(v) = -832*v + 7. Is d(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/480 + n**4\/96 - n**3\/48 + 4*n**2. Let w(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68989151 and 8811?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 1386?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11847742129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.61 + 210.39. Let l = -83 + u. Let s = l + -132.000057. What is s rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtq when three letters picked without replacement from {q: 1, t: 4, x: 9}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 1.2478.\nAnswer: -28.6994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - v - 33207, 2*v - 15855 - 17346 = -5*j. Calculate the greatest common divisor of 232 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 270397822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*n + 4*n. Let g = -93 + 52. Let q = g - -43. Solve r = l + q*l + n, -3*l + 9 = 3*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12749, 12726, 12691, 12638, 12561, 12454?\nAnswer: 12311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j = -29*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -2, -63860 in decreasing order.\nAnswer: 160, -2, -63860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7983550, 15967096, 23950642, 31934188, 39917734?\n\"Answer: 7983546*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 9 + 56 = 0. Sort 2, -14, j in decreasing order.\nAnswer: j, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24790a0 - 4?\nAnswer: 247909c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -49 - (7 + 3 + (-27 - -33))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 4*m - 12792 = 0. List the prime factors of m.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12718\/17 + 751. Calculate the common denominator of 4\/8*((-200)\/(-30) + -3) and i.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/8535846 and 17\/224136.\nAnswer: 102430152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 < 324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -105?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) -1\/2652 (d) 0.4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10*f + 39 = 11*f, -8*d + 52 = -f. Let s be 2\/(-8) - 90\/(-8). Solve d*b - 20 = s*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 27 - (89 + -69).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10200275 - 2.44316\nAnswer: -10200277.44316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68310*c**2 + 303645*c + 200 = 0 for c.\nAnswer: -40\/9, -1\/1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*u = 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-336) - 2\/8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*b, -3*a + b - 23 = -3*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75.36 - -77. Let p = y - 0.5. What is p rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -11*v**3 + 2*v**2 + 11*v - 2 = 0.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*j*u - i*j + 119*i*u**2 + 14*i*u - j*u**2 + 8*j wrt u.\nAnswer: 238*i - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -167*l - 457. Determine z(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -15158b5?\nAnswer: -15158b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(242) + -1)**2 + (-3 + 1 + sqrt(242))**2 - ((sqrt(352)\/sqrt(11) - (sqrt(2) - (sqrt(12)*1 + sqrt(12))\/sqrt(6))) + 4).\nAnswer: -239 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -47.0043. What is o rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 10:33 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 15. Suppose -16 = -3*y - o. Suppose l - 5 = -p, p + y*p + 4*l - 27 = 0. Calculate the remainder when 27 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26953665\/1444 - 18666. Calculate the common denominator of j and 9\/152.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618651893240 minus -1?\nAnswer: 1618651893241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/((-15)\/90)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -89*z - 3*z**2 + 5290 + 217*z + z**2 - 7338 = 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -92, -134, -176, -218, -260?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0439220927 rounded to 3 dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -640100 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, l: 2}. What is prob of picking 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2072, -2074, -2076?\nAnswer: -2078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(2*-571)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -92, 0.6, -5, -55, 0.13, 0.2, 5?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5 + 244*l**4 - 996*l**3 + 1504*l**2 - 1006*l + 252 = 0.\nAnswer: -126, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 460 = 18. Let l = 284 - s. Calculate the remainder when l is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.786 to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (15600\/(-19))\/10. Let y = -83 + b. Let o = -352 - -5982\/17. Sort o, y, -0.1 in descending order.\nAnswer: y, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/7 or 2150785?\nAnswer: 2150785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**4 - 356*l**3 + 47526*l**2 - 2819876*l + 49. Solve g(k) = 0.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 1 - 1)*(592*l - 595*l - 3*l**3 + 0*l**3) + l - l**4 - l + (-l**2 + l**2 + l**3)*(-2*l - 3 + 3).\nAnswer: 3*l**4 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 m when three letters picked without replacement from {a: 2, b: 2, z: 1, m: 6, e: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 7:46 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 3990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53133*x = 3*o + 53138*x - 41, 5*o - 35 = -5*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 69.\nAnswer: -29\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*(-3 + (2*sqrt(13) - sqrt(13))))*-5*4)**2 + -1.\nAnswer: -4000*sqrt(13) + 15199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in -2\/19, 3, 106161, -0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3277, -6551, -9825, -13105, -16397, -19707?\nAnswer: -23041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((3 - 2)\/4). Suppose -x*j + 0 + 8 = 0. List the prime factors of 9*(4\/(-3) + j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.15 + -30.65. Which is the second biggest value? (a) -1\/2 (b) j (c) 0 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766971.3ml to litres.\nAnswer: 766.9713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/16 (b) 0.05 (c) -272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -3 - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l + 11. Let s(a) = 5*a - 6. Let t be (2\/(1 + 1))\/((-1)\/(-6)). Let p(o) = t*h(o) + 11*s(o). Let k(d) = -2*d**2. What is k(p(n))?\nAnswer: -242*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(-4)*((-91)\/14)\/13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + s - 4. Give k(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/9 + 55\/495. Let v(d) be the second derivative of 0*d**i + 0 + 7\/6*d**4 - 5*d + 0*d**2. Let m(y) = -y**2. Calculate m(v(o)).\nAnswer: -196*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - r**2 + 3 + (1066 - 1066 - 374*r)*(-2 + 2 + r) + 3 - r**2 - 3)*(-11 + 11 - 6*r).\nAnswer: 2256*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4896 = h - 14*t + 19*t, 0 = 4*h + 3*t + 19669. Let o = 6647 + -4626. Let g = h + o. What is g rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*k = 31*k + 4112. What is the least common multiple of 5890 and k?\nAnswer: 47120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9*i - j = -51, 4*i - 38 = 2*j. Let t = -13 + 8. Let s = 13 + t. What is the least common multiple of i and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235584974.\nAnswer: 2, 2887, 40801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -75*n + 78*n - 3*r, -17*n + 193 = 5*r + 62 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 7*m**4\/4 + 3*m**3 + 9*m**2\/2 + 3. Let a(v) = -3*v**3 - 4*v**2 - 4*v. Let h be (0 + -2)\/(-2) - -8. Calculate h*a(t) + 4*u(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16731, -33517, -50341, -67203, -84103, -101041?\n\"Answer: -19*n**2 - 16729*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q**2 + q. Determine k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2644 = s, 2*g + 4*s + 832 = 3488. Suppose 2*v + 15 = 5*v. What is x in 675*x + 6 + v + g*x**2 + 147*x**5 + 37 + 819*x**4 + 1608*x**3 - 243*x = 0?\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 8:16 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15771 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(-1 - (-1)\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = 21. Let d be 1 + a\/3 - 0. Is d\/20 - 374\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87633233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/180*13\/(-2). Suppose 14*h - 24 = 6*h. Which is the nearest to -0.1? (a) -0.2 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 201, 516, 961, 1536?\n\"Answer: 65*f**2 - 10*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*v + 2132 + 2423 = -3185 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4201187 times -0.07?\nAnswer: 294083.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = -5*y, -2*y + 2 = -13*q + 10*q. Are q and -20\/63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 1, w: 2, e: 1}. What is prob of sequence ibwi?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 24 = 4*r, -z + 0*r + 2*r = 14. Let t(k) = -3*k**2 + 8*k. Let y(s) = -2*s**2 + 7*s. Determine z*t(n) + 5*y(n).\nAnswer: 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35259, 282130, 952207, 2257092, 4408387, 7617694, 12096615, 18056752?\nAnswer: 25709707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 - 876*j**2 - 345168*j = 0.\nAnswer: -204, 0, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) + 1 + (sqrt(50) + 1)*2)*3 + 1)**2.\nAnswer: 1800*sqrt(2) + 16300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 - 1 - 7*n**2 + n + 2*n**2. Is v(-5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d**2 - 82*d - 14. Determine p(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00101487264 rounded to five dps?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*7644\/195*((-7)\/(-4) + -2)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -110100110?\nAnswer: 110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let h be (-20)\/n*6\/(-4). Let d be (-6)\/h - (-2)\/(-5). Are d and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 14*r = -66. Suppose z + r*d = -0*d - 11, -3*z + 37 = -5*d. Solve 4*q - 5*o - 2 = -9, -3*q + 5*o = z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 281285 times 2\nAnswer: 562570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29850\/35820 + (-1)\/9*8?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1294*a - 111. Let q(g) = -647*g - 48. Let p(y) = -5*f(y) + 9*q(y). Differentiate p(b) wrt b.\nAnswer: 647","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (596*s**2 + 134*s**2 - 225*s**2)*(4*s**2 - 10*s**3 - 4*s**2).\nAnswer: -5050*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = 15. Suppose 0 = 15*x - 20 - 40. Differentiate x - 3 - 3*h**3 + u - 1 with respect to h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*a - 88*a - 3*a**2 - 15*a**2 + a**2.\nAnswer: -17*a**2 - 149*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 17*a**2 - 12*a + 24. Let o be j(18). Let u be o\/8 + (-1)\/2. Calculate the highest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30854 and 30854?\nAnswer: 30854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116606918 and 5660530.\nAnswer: 583034590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 f when three letters picked without replacement from fnnfwfnwn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 15*u + 23. Let z be i(-14). Let d = -1 + z. Solve 4 - 24*g + d*g**2 - 4*g**2 - 4 = 0 for g.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1161 - -1105.3. Let g = f - -55.70555. Round g to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + 14)*(-1 - (2 + -1)). Is (-4)\/14 - t\/((-56)\/(-1017)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let q be (-1)\/2*u\/1. Suppose -3*d - 9 = q, 5*d - 6*d - 33 = -r. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*x - 20, 3*v + 10 = 3*x + 4*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -4372339 and 13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 1. Let x = 260672 - 260673. Which is the nearest to -2? (a) x (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3423 - 47891\/14. Let z be 4*(-66)\/(-24) + 1. Find the common denominator of t and 88\/48 + 4\/z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*q = -150*q - 506 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -116. Find the second derivative of 52*h + 10*h**2 + l*h + 33*h - h**3 wrt h.\nAnswer: -6*h + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*f + 39, 2*d = -4*f - d + 22. Let t(w) be the second derivative of -w**5\/20 + 7*w**4\/12 - 3*w**2 + 2*w. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 + 1598 = -107*w - 429 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 27*q - 409. Calculate n(14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18286 + -10542. Calculate the highest common divisor of f and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*j + 28*j + 77 - 539 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 61650896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -737, -723, -699, -665, -621, -567, -503?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0, 94, -35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 + 9*d**2 + 3*d - 16*d**2 + 4*d + 2. Determine b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6 + 4*p**2 + 2*p**3 - 8 + 6. Let z = -5 + 0. Let r(j) = 5*j**2 + 2*j**3 + 3*j - 3*j - 2 + 7. Calculate z*m(g) + 4*r(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31642, -63574, -95506, -127438, -159370, -191302?\n\"Answer: -31932*b + 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27200 - 27044. Calculate the lowest common multiple of 104 and r.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 34*f**4 - 15*f**2 - f - 35*f**4 - 4*f**2 + (-2*f**5 + f**5 + 2*f**5)*(-3 + 4 - 3) + 0*f**5 - 7*f**5 + 2*f**5.\nAnswer: -9*f**5 - f**4 - 19*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {t: 2, p: 5, g: 1, o: 5, c: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/6 - (-3)\/(-6). Let p = x + 1. Let v(f) = 5*f**2 + f - 1. Let s be v(1). Solve -3*l - 5 = 2*q + 2, -14 = p*l + s*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5806, -11604, -17396, -23176, -28938, -34676, -40384, -46056?\n\"Answer: a**3 - 3*a**2 - 5796*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 5*p**2 - 5*p**2 + p**5 + 0*p**5 - 3*p**5 + (p**3 + p - p)*(4*p**2 + 0*p**2 + 0*p**2) + (0 + 0 + 2*p)*(5*p**4 - 4*p**4 - 3*p**4).\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212 - 211. Is (9\/(-18))\/(v - 318\/316) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**5 - 4243521*m**3 + 276776714*m wrt m.\nAnswer: -100*m**3 - 25461126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:29 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 5:21 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303384?\nAnswer: 2, 191, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2 + 2*y + 1. Let l = 8 - 10. Let h be w(l). Solve -h - 3 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/15 + 0)*(-4235)\/14 and -67\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 9d065a?\nAnswer: -9d065f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -22*t. Let h be a(6). Let y be ((-11)\/h)\/((-1)\/(-3)). Which is smaller: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhrrrrhrhrhhqrhtrqr. Give prob of sequence rr.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) -0.02 (c) 0.5 (d) -16 (e) 2\/119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1819\/6 + 824\/3. Let c = -73 + 107\/2. Find the common denominator of n and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159117354 and 2178?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 3, h: 5, z: 1, k: 8}. What is prob of picking 1 r and 1 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o**3 - 75*o**3 + 146*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g\/((g*g\/(g\/(g\/((g\/(g*g\/g**(-26)))\/g)))*g)\/g))\/g)\/g))\/g)**(-32) assuming g is positive.\nAnswer: g**(-992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(1 + (-759)\/249 + 2). Let u be ((-1172)\/66)\/(332\/(-6)). Let k = u - d. Is 1 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -12.0866378?\nAnswer: 13.0866378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347 + 342 - 6178*p - 689 - 607*p.\nAnswer: -6785*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -2\/355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1319 - 1319 + 31*d + (0*d + d - 3*d)*(-2 + 1 + 0))*(49 + 13 - 33) + (5*d - 2*d - 4*d)*(-3 - 2 + 3) + 4*d - 2*d - 3*d as x*d + s and give x.\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 5. Calculate m(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(3\/32))**(12\/19)\/(k**(-31)*k**8))**(-8\/15) assuming k is positive.\nAnswer: k**(-3697\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 + -94. Solve 4*l + 2*n = -l + 35, -l + 4*n = y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4607 (base 13) in base 11?\nAnswer: -7408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168675511691.45 - 4.\nAnswer: 168675511687.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 178, 3873, 13882, 33361, 65466, 113353, 180178?\n\"Answer: 526*g**3 + g**2 + 10*g - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5609264 divided by 21328\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177554 - 177554 + 36*q**2.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/35 - 59\/(-10) and 46\/(-12) + 4\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6834 - -22095. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 104\/5, -0.2, 9\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127.2 + -127.7. Which is the second biggest value? (a) j (b) 1\/4 (c) -1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*8\/40?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112032926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -7. Let i(x) = 26*x**2 + 3*x + 2. What is the units digit of i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + 1 + sqrt(700) + 0 + (sqrt(847) + 0)*1 + -5)**2*2.\nAnswer: -37056 - 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 68.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*y - 18, 2*y - 7*y = 3*k - 28. Calculate the least common multiple of (-36)\/21*(-21)\/k and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 207539, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1081*u**4 - 6300 + 5792 + 681*u**4 - 1165*u**4 wrt u?\nAnswer: -6260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - 19755825*d + 19755809*d - 260.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*t + 23, 5 = d + 5*t + 6. Suppose -4*g + d*u = -5468, 4042 = 5*g + 2*u - 2814. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -65*c**5 - 2980*c**4 - 25215*c**3 - 18800*c**2 + 3500*c = 0. Calculate c.\nAnswer: -35, -10, -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 96. Suppose 25*w = 28*w - 36. Calculate the highest common factor of b and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-16))\/((621\/(-120))\/(-69))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/10*15\/6. Let l(x) = x + 18. Let w be l(-16). Factor w*o + o - 6*o**3 + o**5 + p*o**5.\nAnswer: 3*o*(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.102988 rounded to two dps?\nAnswer: 207.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 352, 858, 1638, 2734, 4188, 6042?\nAnswer: 8338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuc when four letters picked without replacement from {g: 6, c: 2, u: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.14 + -4.14. Let b be (-1)\/((-21)\/30) + -2. Put b, -4\/3, w in ascending order.\nAnswer: w, -4\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, 8, -0.036 in ascending order.\nAnswer: -4, -0.2, -0.036, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*a - 7 = 0, 4*o + 4*a - 17 = 19. Suppose o*g = -6*g + 121. Let r = 18 + g. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25997 - -26031. Sort -5, b, 2\/19, 0.2 in ascending order.\nAnswer: -5, 2\/19, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6479 and 1178?\nAnswer: 12958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*d + 74*d - 1093 + 271 = 2268 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 6. Let q be -1 + -2 + (-1196)\/k. Suppose 3*t - 2*p = 3*p - 1725, -t - q = 5*p. Round t to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 3\/(-1)*1. Suppose 3*v + g = v. Let c(j) = -3 + j + 3. What is c(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 7*z - 3*o = -12, 0 = -z - 2*o + 1. Calculate the least common multiple of z and 3\/(-1 + 8\/6).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 10:06 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -22, 422?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/5 + (-4394)\/1690.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 24157, -1, 3 in ascending order.\nAnswer: -5, -1, 3, 24157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p\/(p\/(p\/(p*p**0*p*p)))))*p)\/p**(-6\/11)*p**3\/(p\/p**7))\/(p**(2\/33)\/(p\/(p*p\/(p*p*p*p**(1\/7)))))**(2\/7) assuming p is positive.\nAnswer: p**(16397\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(512)*5) + ((3 + sqrt(13))*3 + 3)**2.\nAnswer: 2881*sqrt(13)\/40 + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 10 - (-3 - 59)) + (-2 - 1) + 6.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 10:09 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 220*r**3 - 2*r**2 - r - 1. Let h be l(2). Let n(g) = 1726*g - 2*g**2 + g**2 - h*g. Let w(p) = 2*p**2. What is n(w(x))?\nAnswer: -4*x**4 - 46*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.756977 rounded to two dps?\nAnswer: 14.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 49*t**2 - 5*t - 98. Let w(v) = 24*v**2 - 3*v - 49. Suppose -27 = 8*g - 17*g. Let o(x) = g*q(x) - 5*w(x). Differentiate o(p) wrt p.\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2. Let g(c) = -203 + 203 - 4*c**2. Give j(g(w)).\nAnswer: 80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1364 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 7. Let u(z) = 14*z - 20. Let n(t) = -6*t + 7. Let o be n(4). Let s(m) = o*a(m) + 6*u(m). Calculate s(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 7557 - 7557.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l*l\/(l\/(l*l**2)))\/l)**(8\/13))**(-30\/7)\/(l*l**6\/l*l\/l**(-5))**41 assuming l is positive.\nAnswer: l**(-45972\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1276 - 0.127597494. What is a rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-10))\/((-3)\/40). Factor -4\/3*m**3 + 0*m - 4*m**2 + o.\nAnswer: -4*(m - 1)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -7*w + 72, -w + 279*h - 276*h + 24 = 0 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7780708*d**2 - 552*d + 1116 wrt d.\nAnswer: 15561416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7010 divided by -1402\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 7*k**4\/24 - k**2. Let z(d) be the second derivative of -5*d**3\/6 - 2*d + 218. Determine z(j(h)).\nAnswer: -35*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601*k = -550*k - 9078. Suppose -6*u + 40 = -4*u. Calculate the remainder when k is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d + 14. Determine q(6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*(i**(-3)\/i)\/i)**31\/((((i*i*i**(-1\/8))\/i)\/((i*i*i\/(i*i**6))\/i))\/(i\/i**(-1)*i)**(-1\/18)) assuming i is positive.\nAnswer: i**(-1633\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8730\/(-60))\/97)\/(129\/2)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(84)*-2)\/sqrt(2))\/(sqrt(216)*2 - sqrt(216)) + -2.\nAnswer: -4*sqrt(7)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 110929610.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from ggrgkkggr?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/42 and -179\/38712282.\nAnswer: 38712282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 563452 - 496964603\/882. What is the common denominator of c and 157\/1260?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*g = -2*s + 179, 4*s - 5*g = 158. Suppose 32*b - s*b + 20 = 0. Let f(n) = 4 + 5*n + 0*n + 0. Let c(h) = -4*h - 3. Give b*c(q) + 3*f(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:30 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -6. Let l = 2 + n. Suppose 45 = -0*p + l*p. Solve d = -2*d - p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 249691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -2.9, -0.04, -525 in increasing order.\nAnswer: -525, -2.9, -2\/15, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 282 = -4*z, -3*u + 4*z = -465 + 34. Calculate the remainder when u is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 23 = 4*u, 0 = 5*u - d + 5*d + 2. Suppose -2*b + 3*c = -b - 46, -u*b = -2*c - 76. Let y = b - 34. Is 3\/25 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16415\/50541?\nAnswer: -16415\/50541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b + 11. Let m = -23 - -32. Is a(m) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 222802.\nAnswer: -445604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8447 less than 5?\nAnswer: -15.8447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127.9 + -45.6. Round p to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -5764313, 22 in decreasing order.\nAnswer: 22, 5, -3, -5764313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 - 2*o**4 - o**4)*(2085*o - 801*o + 2368*o).\nAnswer: -3652*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 22*y - 2. What is b(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 189132 + 7623 = 6*b. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*y - 121 = -497*y - 488*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20460 rounded to the nearest one hundred?\nAnswer: -20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5396.8798 to the nearest ten.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 - 197 + 398 + 8*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*i - 4*i. Solve -4*q = 4*s - 4, 4*s - i*q - 4 - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2533*y**2 - 82*y - 9 + 9 - 2536*y**2.\nAnswer: -3*y**2 - 82*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 98. Let l = -26 - z. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-62*(-20)\/(-21700).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {y: 3, h: 4, f: 1, k: 6}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(((((k*k**(-2\/17))\/k)\/k)\/k)\/k)\/k)**29 assuming k is positive.\nAnswer: k**(-1537\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35055087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t**2 + 39445479*t + 15778194 = 0 for t.\nAnswer: -2\/5, 2629699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(375) + -2*sqrt(375))*-4)\/(sqrt(3) - (sqrt(3) - sqrt(9)\/sqrt(3)*-2) - (sqrt(3) - -1*sqrt(192))))**2.\nAnswer: 72000\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -3, 1, 46, -4022 in decreasing order.\nAnswer: 46, 2, 1, 0, -3, -4, -4022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmmx when four letters picked without replacement from {m: 6, x: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33823 and 1816?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -394, -572, -750, -928?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 14*c - 19*c = 2260, -3*x + c = -1374. What is the remainder when x is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g, 31*a - 4*g + 2 = 30*a. Solve -3*m = -a*f + 10, 10*f = 15*f + 4*m - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 145682?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, 27, 57, 105, 177?\n\"Answer: g**3 + 11*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4320500?\nAnswer: 2, 5, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(64) + (sqrt(24) - sqrt(1176))\/sqrt(6))\/(((sqrt(40)*2)\/sqrt(10))\/sqrt(2)*-3).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 365 and 730.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.7 (c) 5\/3 (d) 0.2 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2534862 and 2464?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*i**2*p - 541*i**2 - 23*i*p - 18*i - 18390*p + 1454 wrt p.\nAnswer: -13*i**2 - 23*i - 18390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -422*c + 2959. Let a be m(7). Solve 0 = 6*f - 41 + a for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 71. Suppose t + 4*g = -11 - 1, 11 = a*t + g. What is the remainder when 77 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1596196 is divided by 531981?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -h - 5, -2*h + 4*h + 5*p + 25 = 0. Suppose -z + 4*z = h. Is -9\/8 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 39 = -12. Let v = -12 - -38. Calculate the remainder when j is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(40\/(-80)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*((-45)\/(-4))\/(-5). What is the highest common factor of v and 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doddddoodddoddodddd. Give prob of picking 3 o.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1144408426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/6 and -133\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/5 - 1)\/(86\/28165) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16003.3 in -4\/7, -35, 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 69.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4\/3 + 4*w**3 - 16*w\/3.\nAnswer: -4*w*(w - 2)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:11 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*k - 608704 - 701734 = 1625442. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 1975*a**4\/12 + a**3\/6 + 282*a**2 + 13*a + 18. Find the second derivative of l(x) wrt x.\nAnswer: 3950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -140*z**2 - 20*z. Let f(p) = 20*p**2 + 3*p. Let i be (-178 + 8)\/17 - (0 + -7). Give i*m(d) - 20*f(d).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -15. Let m = 22 + g. What is the lowest common multiple of 4\/6 - (1276\/(-12) + -1) and m?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -15 + 27 + 2*c + 3*c**2 + 2*c**2 - 20. Does 18 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162262623 to the power of 1\/2, to the nearest integer?\nAnswer: 34092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21 and -288695.\nAnswer: -288716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**6\/2 - 42*w**5\/5 - 207*w**4\/4 - 140*w**3 - 150*w**2 + 157. Suppose x(z) = 0. Calculate z.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2433)\/(-12) + (-3)\/(-12). Suppose -4*t - q = -0*t - o, t - 50 = -q. Calculate the remainder when t is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/(-17) + (-213 - 17)\/(-23)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6576 by 1644.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(343) + sqrt(343) + sqrt(343))**2 + (sqrt(700) - sqrt(28))**2.\nAnswer: 84*sqrt(7) + 3539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 686373*s**3 + 208844*s**2 wrt s?\nAnswer: 4118238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(0*z - 2*z + 0*z) + 2*z - 4*z + z - 2*z + 400 - 400 to the form w*z + g and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (5 - (9 + 7) - -5) - (-12 + -12)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1\/2, 2, -29.1, 22, 0.58?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.4 + -0.4. Let n = -7.1 + c. What is the third biggest value in -0.5, -0.4, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (104*m - 2731 + 2731)*(-1 + 2 + 1) - 2*m + 3*m - 4*m as k*m + x and give k.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 11*w + 1836. Suppose -5601 = 3*g + w. What is g rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:56 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**24))\/(x\/x**(-2\/11)) assuming x is positive.\nAnswer: x**(-288\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -5. Let g(c) = 5 + 7*c - 3*c - 4*c + c**2 + 5*c. What is the smallest common multiple of k and g(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 15 + 1 + 0*z - 5. Let f(g) = g - 10. Let v(t) = -5*b(t) - 6*f(t). Let w(s) = 45*s - 21. Determine 21*v(i) + 5*w(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18529*a - 165 = 5*p - 18524*a, -a + 83 = -3*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 6. What is n(-10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 12*d**2 + 10*d + 11. Determine z(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 5*n - 24. Let g be 1 + (-14)\/n + 2. Let k = -4 - -3.9. Which is the nearest to g? (a) -0.2 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1908, 3, 4, -42, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260 + -255. Suppose -m*q - 21 = -46. Solve -5 = -q*v, 4*n = -v - 0*v + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005969362 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61272 or 61308?\nAnswer: 61272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 95. Let o be (-33)\/(-9) + 1 - 3. Which is the closest to -0.1? (a) p (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.196157 kilograms?\nAnswer: 196157000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 8 = 2*g. Solve -g*k = -11 - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 433 = 165. Calculate the highest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + o + 29 - 12 = 0, 0 = 2*n - 3*o - 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.00302, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-5)*(-13)\/312*-4*4)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 7. Let y be h\/40*(3 - -1). Suppose 0 = y*b + 1 - 10. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u. Let s(r) be the third derivative of -r**5\/12 + 2*r**2 - r. What is k(s(h))?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10102 (base 3) to base 10\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 541, 1749, 3675, 6313, 9657, 13701, 18439?\n\"Answer: -l**3 + 365*l**2 + 120*l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 - -107. Solve g*o + 6 = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 64052295*b**2 - 205135048921200*b + 1435942203887660.\nAnswer: -5*(b - 6405226)**2*(b - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/59556 and 47\/9?\nAnswer: 178668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 2, j: 2}. What is prob of sequence dmm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 2*c + d - 3*d, 0 = c - 4*d - 69. Let z = c + -43. Calculate the remainder when 123 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 - 7*i**4 - 6 + 3*i**4 wrt i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 14, 1, -20, -49?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 76744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n**2 - 6*n**2 - 2 + 4)*(-6 + 6 + 17*n) as d*n + s*n**3 + y + q*n**2 and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 5*h + 19. Calculate the smallest common multiple of o(-6) and 2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9158488?\nAnswer: 2, 251, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 2*u - 45. Suppose 0 = 3*i - 6*i + 15. Calculate the smallest common multiple of w(6) and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 51*t + 289. Let h = -48 - -47. Put -5, t, 1, h in decreasing order.\nAnswer: 1, h, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8989?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -21*u + 52. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + (sqrt(2178) - sqrt(2178)*-1*5) + -2 - 1*(sqrt(2178) + 0)*-4)**2*4.\nAnswer: -5808*sqrt(2) + 1054168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -84, 121, -1, -3 in descending order.\nAnswer: 121, -1, -3, -30, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 29*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 47409373 divided by -5137\nAnswer: -9229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21 - -390ad?\nAnswer: 390d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*z - 680*z**3 - 557*z + 693*z**3 + 1140*z.\nAnswer: 13*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3138 + 3159. Calculate the least common multiple of 684 and o.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 32 = 5*a, 10*s + 4*a = 8*s + 10. What is the common denominator of 4\/(-20) + (-5)\/(-3) and (-52)\/18 + 15\/9 + s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/126)\/(10\/(-9))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 16. Let u = 7.2 + t. Let c = 0.6 + u. Sort c, -1\/6, 4 in decreasing order.\nAnswer: 4, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 500721*w**4 - 4106*w**2 - 3*w + 2.\nAnswer: 12017304*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2175, 5692, 10537, 16710, 24211, 33040, 43197?\nAnswer: 54682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 516, 596, 698, 816?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 12694587.\nAnswer: 12694587.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 470*l**2 - 49*l - 874. What is the hundreds digit of y(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195559349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -16*c**2 + 35*c - 2. What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 733 + -99a8?\nAnswer: -9275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 s when three letters picked without replacement from {g: 2, s: 4, j: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (sqrt(539) + 0)*4 + (3 + 0 + sqrt(539))**2.\nAnswer: 77*sqrt(11) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*5\/((0 - 3)\/8049). Suppose -t = -9*n - 13246. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - 1\/((-2)\/4). Let f = 0 - 0.4. Let s = -4.6 + f. Sort 5, s, r in decreasing order.\nAnswer: 5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 + 42 = 0. Suppose -96 = -13*i + t*i. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 11816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 191 = 34. Let l = -26 - j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 138, 200, 250, 282, 290, 268, 210?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + (-10 - 6\/15*(-2 - 243\/6)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*i - 59*i - 68*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/3)\/(49\/(-1078)))\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2085321 or 2?\nAnswer: 2085321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b**3 - 3. Let k(m) = -4*m**3 + 1. Let o(r) = 2*r. Let n be o(0). Suppose n = -9*l + 5*l + 8. Give l*c(u) + 5*k(u).\nAnswer: -2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20738933.39 rounded to the nearest one hundred thousand?\nAnswer: 20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 5*f**2 + 6*f - 51. Let k be v(-7). What is the third derivative of 28 + 11 + 22*y**k - 26*y**5 + 20*y**6 + 4*y**2 - 2*y**2 wrt y?\nAnswer: 2400*y**3 - 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*j - 744*j + 68236 = -39548 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyppyyyyyyy. Give prob of sequence yyy.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -25. Let r(y) = -170*y + 10. Let j be r(s). Round j to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1339, 1342, 1353, 1372, 1399, 1434, 1477?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-146)\/(-219))\/((-22)\/(-6) - 1). What is the closest to o in 1.5, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6716 times -14\nAnswer: 94024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 449 in -3, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39856969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 7*q - 2. Let d be l(6). Suppose d*h = h + 39. Suppose n = -0*n + h. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50\/3*o**4 + 0*o**2 + 5\/3*o**3 + 0*o + 0 + 125\/3*o**5 = 0. Calculate o.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/120 and 37\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -385?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39995.\nAnswer: 5, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60677378 + -0.054.\nAnswer: -60677378.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 50*m + 208. Let t be y(-4). Find the third derivative of -30*f**5 - 4*f**2 + t*f**2 + 6*f - 49*f**5 + 9*f**2 wrt f.\nAnswer: -4740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180413 to the nearest one thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 58424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82135682*i + 58642237.\nAnswer: -82135682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**44)**(-36) assuming j is positive.\nAnswer: j**(-1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 3\/2, 161, -5 in decreasing order.\nAnswer: 161, 3\/2, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 1 = 14*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 930.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 27 = -5*c + 15, 0 = c - 2. Let z = 57 + -59. What is the smallest value in z, 1\/35, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -66 - 4. Let r(t) = -18*t - 1. Let n(a) = 9*a + 1. Let m(b) = 5*n(b) + 3*r(b). Let v be m(-6). What is the greatest common divisor of c and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 4, w: 5, s: 1, n: 4, t: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193 - 3*x + 3*x - 5*x - x + 5*x to t*x + s and give s.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34 - 0.06. Let q = -0.6 - -5.6. Let r = q - 5. What is the biggest value in 4, r, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 1, 480158 in descending order.\nAnswer: 480158, 1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y**3 - 2\/9*y**6 + 4\/5*y**5 + 0*y - 2\/3*y**4 - 6 + 0*y**2. Factor d(m).\nAnswer: -4*m**3*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 136\/(-84) - (-4)\/14. Let o = -0.04 + 3.04. Which is the second smallest value? (a) o (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 46*d = 696. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998347?\nAnswer: 7, 127, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 742236414 divided by -247412138?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 72944948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 7) to base 2\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: d9 (base 15) to base 7\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.84 + -2.54. Which is the fourth smallest value? (a) -12 (b) -3\/2 (c) v (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -7*w**6\/6 + w**3 + 1. What is the third derivative of c(d) wrt d?\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 37 - 6 + 3*m + 35.\nAnswer: 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 - (2907\/(-4845))\/((-24)\/(-190))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 - 577\/5. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 0*o**2 - 2 + 5*o**2 + 4*o - 4*o**2. What is q(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -2.5, -0.2, 0.07?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 35*u**3 + u**2 - 4*u + 2. Suppose -2*p - 2*m = 8, -2*m - 15 = 5*p + 2*m. Let j be o(p). Let g = j - -21. What are the prime factors of g?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -602\/87, 0.031, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -a07622 (base 14) to base 2\nAnswer: -10100100110000001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a9855 + -b?\nAnswer: 2a9846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + t + 102*t**2.\nAnswer: 102*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5220*y**2 + 2*y - 46 wrt y.\nAnswer: 10440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 18*n**2 + 41*n - 449. Calculate o(19).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 750 (b) 0.2 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 - 4343*m + 8690 = 0. What is m?\nAnswer: -4345, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 6, -165, 1, 2 in ascending order.\nAnswer: -165, -2, 1, 2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 29, 52, 91, 152, 241, 364, 527?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, x: 6, d: 9}. What is prob of picking 2 i?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17889235 at most -17889235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*u**2 - 9*u**2 + 18*u**2)*(-10 + 0 + 2).\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -25, -2\/3, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t + 0*t**4 + 1\/60*t**5 + 0 + 3*t**2 + 0*t**3. Let z(r) = -3*r. Calculate z(j(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/20*(-2)\/(-4))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1980)*1 - (2*sqrt(275))\/sqrt(5))*2)\/((sqrt(330)\/(-2*sqrt(10)))\/(sqrt(3) + -1*sqrt(300))).\nAnswer: 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/28*(2\/14 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let i be k(-5). What is the third derivative of -5*s**6 + i*s**2 - 2*s**2 - 3*s**2 + 4*s**6 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**5\/60 + 5*y**3\/6 + 15*y**2. Let v(x) = -x**2 + 6. What is -5*i(z) + 4*v(z)?\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1431 and 369738.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -17*c + 11604. What is the remainder when c is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -19, 4, -3 in decreasing order.\nAnswer: 4, 3, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {j: 2, r: 3, z: 1, e: 5, x: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**2*k**3 - 425*j**2*k + 17*j*k + 269*j - 178897*k**3 wrt k?\nAnswer: 54*j**2*k - 1073382*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**0)\/i)**(-10)*(i**1\/i)**(9\/4))\/(i\/(i\/(i\/(i*i**(-8))))*i*i\/(((i*i**(4\/9))\/i)\/i*i)*i)**(-6) assuming i is positive.\nAnswer: i**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -156, -159, -162, -165, -168?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52 * -2.4.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 293, 383, 407, 347, 185, -97?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2532583, 5065182, 7597783, 10130386, 12662991, 15195598, 17728207?\n\"Answer: g**2 + 2532596*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 + 174. What is the remainder when f is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2086 times -58.09\nAnswer: -121175.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-39) + 1642\/(-10673). Sort 2, 4, y in descending order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - 0 - ((15 - 44) + 23) - 10\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -87*n + 87*n - 2*n**2. Let w(k) = -5*k. Let f(d) = 4*d + 4*d - 2*d. Let y(p) = 4*f(p) + 5*w(p). Give y(z(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50, -33, 4, 67, 162, 295, 472, 699?\n\"Answer: z**3 + 4*z**2 - 2*z - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1100010110001000?\nAnswer: 1100010110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -266314 divided by 26\nAnswer: -133157\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-6))\/((-3)\/4). Let r be (-1 - f)*(2 + 3). Find the second derivative of 2*g**r - 3*g + 10*g + 0*g**5 wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23160 divided by -965.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 654, 1314, 1974, 2634, 3294?\nAnswer: 3954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2748*j**2 - 8222*j**2 + 2 + 2743*j**2 + 2747*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 8 = -9*f. Sort 3, -0.6, f in increasing order.\nAnswer: f, -0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h + 5*j - 10, 5*h = -5*j + 30. Suppose 2*f - h + 1 = 0. What is the least common multiple of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:47 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:16 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472360 rounded to the nearest ten thousand?\nAnswer: 3470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4130684 - 3.412. Round z to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 448032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-2)\/(-1))\/(49\/(-7)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 8*m - 63. Determine d(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2 - 0. Let j(k) = 2*k**3 + k**2 + 2. What is the smallest common multiple of j(2) and (8\/6)\/x*3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p + 39. Let k be v(6). Suppose -11*b = -k*b. Solve b = -4*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 90*n**2 + 424*n - 64. Calculate j(-85).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50606 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 41\/5 (b) 49 (c) -11 (d) -0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p - 1. Suppose -5*z = 15, -6 = w + w + 2*z. Suppose w = -2*y - 0 + 6. Calculate the remainder when v(y) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + ((-20)\/12 - -2). Let a(s) be the first derivative of -16*s - 2 - 1\/2*s**2. What is a(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -297097*k - 8966171 wrt k.\nAnswer: -297097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/3, -95, 13727?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 5 in ascending order.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -269\/3 + 90. Let h(p) be the second derivative of -1\/15*p**6 - p + 0 - p**2 + 0*p**5 + 0*p**3 + s*p**4. Suppose h(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmviivmmv. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/25538792 and -49\/118296.\nAnswer: 229849128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a22 (base 13) to base 11\nAnswer: -1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2821471 is divided by 1410734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**4\/4 - 2*y**3 + y**2\/2 + 3*y + 16. Let o be w(6). Suppose 0 = -o*a + 7263 + 3006. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -3 (c) 413\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -41. Let i = 0.1 - 0.1. Which is the closest to j? (a) 1 (b) i (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953495 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0*o**5 - 2*o + 1\/15*o**6 + 1\/6*o**3 + 0 + 0*o**2 + 0*o**4. Find the second derivative of x(u) wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -4489?\nAnswer: 4488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 39, 85, 149?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one eighths of a micrometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u**2 + 4*u + 2. Let h(y) = 1. Let i(t) = -2. Let j(a) = -3*h(a) - 2*i(a). Let q(s) = -2*j(s) + o(s). What is the second derivative of q(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 + 224. What is the closest to -1 in -3, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30334 (base 6) to base 4\nAnswer: 332302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 750*u - 749*u - 8*u**3 - 35*u**2 + 25*u**2 to q + b*u**2 + d*u**3 + m*u and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1020 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/107? (a) 108 (b) 0.4 (c) 6\/7 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 3*i**2 + 2*i. Let w(b) = -10*b**3 - 10*b**2 + 7*b - 1. Let n be -4 - ((2 - 5) + -3). Calculate n*w(q) - 7*t(q).\nAnswer: q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 10:51 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.1 - -3.1. What is the second smallest value in -0.4, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105\/27*498\/(-1245)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*r + 53, -3*t + 4*r = 4967 - 4918 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -50\/56663?\nAnswer: -50\/56663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 16*h + 21. Calculate the least common multiple of 29 and u(15).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 5957*o**3\/3 + 3159*o**2 - 4085. What is the second derivative of t(l) wrt l?\nAnswer: 11914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 11*q = -447*c + 444*c - 90, 2*q = 5*c + 146 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.15 + -1.05. Is i <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 2, -8 in decreasing order.\nAnswer: 2, -8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 22*c. Let d be a(-2). Let z be 212\/d - 2\/11. Let r be (-2)\/(-8) + 1\/(-2). Sort 0.1, z, r.\nAnswer: z, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 9*x - 1. Let p be v(4). Let w = 7 + -2. Suppose 3*r + 7 = l, l + w*r - 1 = -2. Solve -17 = -2*g + p*g + l*n, g = -3*n - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 816575987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let f(z) = 29*z + 12. Give f(m(v)).\nAnswer: 87*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4636, -6924, -10742, -16096, -22992, -31436, -41434?\nAnswer: -52992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2))\/(6\/12). Let u = 1 + 2. Which is greater: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:06 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9229, -9197, -9167, -9139, -9113?\nAnswer: -9089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23638443421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 8)\/(-9 - (-88)\/16). Solve m*x - q = 5*x - 13, -3*q + 23 = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 r, and 1 b when three letters picked without replacement from ybsbyxssrssssy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-3 - 1)\/(-2). Let y = 63 + -58. Suppose -2*n - y*v = 3 + 3, x*n - 14 = 4*v. Solve 0 = 2*c + 10, -2*b - n*c + 0*c = 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.42 + 0.08. Let o = x - 4. Sort o, 0, 5 in increasing order.\nAnswer: o, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) 1\/7 (c) 2.9 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244 - 239. Suppose -16 = 4*d - 4, 4*d + 1667 = g*j. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.9 - 16.8997765. What is t rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6128076747 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/4 - 147*z**2\/4 + 1404*z - 3888 = 0. Calculate z.\nAnswer: 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236752?\nAnswer: 2, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*x**5 + 79*c**3*x**4 - 20*c**3*x - 2*c**3 wrt x?\nAnswer: -40*c**3*x**3 + 948*c**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 12 - (1 + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 + 3*u**2)*(-4*u - 4*u + 7*u)*(-40*u - 23*u - 1897*u**2 + 63*u + u**2 - 3 + 3 + (5*u - 2*u - 2*u)*(0*u + 3*u - u)).\nAnswer: 3788*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:31 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4805 is divided by 257.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1587 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 2:43 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14.4, 0.3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3 + 90*t**2 - 21965*t - 44250 = 0?\nAnswer: -75, -2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32492 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2161*m*y**3 - 2*m*y**2 + 9*m*y + 34*y**3 - 2*y**2 + 103*y wrt y?\nAnswer: -12966*m + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 13*r**2 + 156*r. Let i be o(-12). Do 2\/2937 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 21*b**2 - 57*b + 2. Give p(18).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715)*-3*3)\/(sqrt(252)*-1 - 2*sqrt(35)\/sqrt(5)).\nAnswer: 63*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.41 - 1.91. Suppose 5*u + 0*u - 5*p = -10, 4*u + 5*p + 35 = 0. What is the nearest to 0.1 in -2, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38044 - 40960 = -108*x for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*d - d + 11, v = 4*d + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 1248?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1311, -1301, -1277, -1233, -1163, -1061, -921?\n\"Answer: a**3 + a**2 - 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 times 4206\nAnswer: 4.206","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 169412, 338813, 508206, 677591, 846968, 1016337?\n\"Answer: -4*c**2 + 169413*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209163*v**4 - 491832*v**2.\nAnswer: 5019912*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1.3735964?\nAnswer: -4.3735964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 6:20 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 - 2 = 0, 5*k = -5*g + 15. Solve -i - 3*f = -10, 7*i - 16 = 2*i + k*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*(2 + (((sqrt(75) + 1 + sqrt(75) - sqrt(75) - sqrt(75)) + 5)*3 + 2)*-6))**2.\nAnswer: 626580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19610916 divided by 9805458?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 1. Let q = 3 - -2. Suppose 2*l = -l + 6. Let p = l - 1. Let o(n) = -4*n - 5. Calculate p*o(f) + q*w(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/217 and -2\/21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence putt when four letters picked without replacement from {p: 1, u: 11, t: 8}.\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47317, -94072, -140827, -187582, -234337?\nAnswer: -281092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -17*d**2 + 4*d - 9. Let y(o) = -6*o**2 + 2*o - 1. Let f(v) = h(v) - 3*y(v). Let l = 26 - 22. Give f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -805, -804, -803?\n\"Answer: g - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 3*y**3 + 8*y**4 + 20 - 2*y + 39*y**2 - 40*y**2 to the form q + d*y**3 + x*y + r*y**4 + j*y**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 538175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-188727)\/(-6) - (-471)\/(-314).\nAnswer: 71, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2677.6 rounded to the nearest ten?\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2)*w)**(2\/115)*w**(1\/2)*w**5 assuming w is positive.\nAnswer: w**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q - 3. Let b(x) = x + 1. Let z(m) = -3*b(m) - w(m). Let u(f) = 5*f. Give z(u(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -18) + 0 + 0 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2. Let t(s) = 9*s. Let a(o) = 4*o. Suppose g = 4*p - 14, 2*p = -2*g + 3*p - 14. Let n(u) = g*t(u) + 14*a(u). Calculate w(n(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6.2 (b) 8 (c) 4 (d) 0 (e) -220 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60768 and 83556?\nAnswer: 668448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 - 59*k**2 - 16*k - 5. Calculate d(12).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + -2*(2 + -1060). Calculate the highest common factor of 148 and b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 10:54 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*sqrt(20)\/sqrt(4) + sqrt(25)\/sqrt(5)*-1 + sqrt(5)))**2 - ((sqrt(385) + -1*sqrt(385) + sqrt(385))\/sqrt(11))\/(sqrt(1008)*2).\nAnswer: -sqrt(5)\/24 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56 - 10*5\/10?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104513 (base 7) to base 16\nAnswer: 4802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.4, -375 in decreasing order.\nAnswer: 0.4, 0.06, -375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0697561391 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18828600 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3. Let o(f) = -f**2 + 42*f - 421. Let w be o(16). Let x(j) = -2*j. Suppose 0 = -3*u + 4 - 1. Determine u*x(b) + w*r(b).\nAnswer: -5*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2006793, -4013567, -6020341, -8027115, -10033889, -12040663?\nAnswer: -14047437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -18. Let a = d + -24. Suppose -19 = -2*y + u, -4*u + 0 = 2*y - a. Which is smaller: y or 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6553 and -3?\nAnswer: 19659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*h + 3*v, -5*h - 8*v + 6*v = 2. Let g(o) = 10*o**2 - 8*o**2 + h*o**2. Let c(y) = 33*y. What is c(g(u))?\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*u - 7198 - 3896 + 2918 = 0 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 20*q**2 - 7*q + 66. Let p be t(6). Suppose -r - 2*y = -229, -5*r - 2*y = -377 - p. What is the remainder when r is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252580421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -2, -10 in increasing order.\nAnswer: -34, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27935 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.88 - 26.91. Let y = k - 15. Let d = 0.008 + 0.092. Which is the smallest value? (a) -5 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49166*g**2*o - 21*g**2 - 3*g - 5 wrt o.\nAnswer: -49166*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*m = 40, 61*h - 62*h + 3*m = -16. Which is the closest to -2\/7? (a) -2\/3 (b) 6\/13 (c) -1\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 o when three letters picked without replacement from {o: 5, c: 3, m: 1, p: 5, u: 1, a: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546220230.\nAnswer: 2, 3, 5, 59, 61, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589 is divided by 162?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*53\/318.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19736 is divided by 1036?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 23. Let k be z(-8). Solve k + 3 = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = -2. Suppose a = -2*r + 3*r. Sort 4, -1, r.\nAnswer: -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 + 13*l**4\/24 - 7*l**3\/3 - 17*l**2. Let b(h) = 3*h**2 - 26*h + 28. Let u(m) = -2*b(m) - 5*t(m). Factor u(k).\nAnswer: -(k - 1)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = -4*t - 8*t. Let n = 72 + t. Do -64 and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 0 + 4*o + 0*o**2 - 1\/3*o**3. Let z(k) = 3*k. Calculate h(z(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 528 = -7*m. Let f = m - -60. Is 4 a factor of (-26 - -29)\/(f\/(-88))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 3, k: 2, h: 4, c: 2}. Give prob of picking 2 c and 1 k.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761*s + 764*s - 1520*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/6 - (-16)\/(-48). Solve -n*m + 11 = -3*l, 0*m = 5*l + 2*m + 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 64*c**3 - c**2 + 2*c**2.\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, -0.11, -65?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/2*(-2)\/(-4). Let i(x) = -x**3 - 4*x**2 - 3*x - 1. Let w be i(k). Suppose 3*n = 3*b - 15, n - 5*b + 1 = -4. Sort n, 3, w in decreasing order.\nAnswer: 3, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 358398864 and 5807389?\nAnswer: 2508792048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -87272724?\nAnswer: 87272722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 86*j**2 + 12*j - 31. What is the thousands digit of p(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1486336 and 107\/22?\nAnswer: 16349696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -70932895?\nAnswer: -4\/70932895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2)*3)**2 + 5)*1 - (sqrt(16)\/(sqrt(8)*-1) + sqrt(14)\/sqrt(7)*1).\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -1\/4 (c) -0.07 (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - 3*q**3 - q**3 + (-5 + 4*q + 5)*(5*q**2 - 2*q**2 + q**2) + (-2*q**2 - 3 + 3)*(q - 2 + 2).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -29478300 to the nearest 100000.\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6079298 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: Suppose 0 = -q + 6, 0 = -2*t - 506*q + 504*q + 120. Let y(h) = 3*h + 3*h + 3*h + 9. Let s be y(9). Calculate the greatest common factor of t and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o + 6. Let b be u(-5). Let z be ((-6)\/b)\/((-9)\/48). List the prime factors of ((-4)\/z)\/((-1)\/(-36)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 127372410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from eipipiieipp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 13*v = -0*s + 9*s + s - 70, 0 = -v + 4*s - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 1:13 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i - 2058 = 63*i + 15*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -69 (c) 2 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54908?\nAnswer: 2, 7, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-8) - 45\/2. Let q be o\/72 + 15\/20. Suppose -2*j + 3*j - 3 = 0. What is the nearest to 0.1 in 0.1, j, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c. Let k be m(-2). Let g(j) = 4*j**2 + 14*j - 18. Let y be g(4). Suppose -3*q - k*q + y = -2*t, 5*q - 130 = -5*t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 95 + 78 - 123 = -25*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702 less than or equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118783406*d**3*s**2 + 151908159*d**3*s wrt s?\nAnswer: -237566812*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0481 + -0.039. What is u rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6092 + 1696 = -28*j. Solve j*g - 160*g = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*i**3 + 0*i**2 + 0*i + 3\/4*i**4.\nAnswer: 3*i**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19873 and -186323403?\nAnswer: 186343276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2bc66 (base 16) to base 5\nAnswer: -21214202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1892 - 369?\nAnswer: -2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {i: 1, g: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/275? (a) 1\/4 (b) 2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -339.\nAnswer: -2\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43030 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 1\/134, -68007, 2\/11 in ascending order.\nAnswer: -68007, 1\/134, 2\/11, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (5 - (1 + -2))) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(1\/(-2)). Suppose 0 = -4*m + d + 81, 5*m - d - 43 = o*m. Let x = m - 9. Calculate the smallest common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*f - 97*f = 9484. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 1. Let y(x) = -432. What is y(l) - z(l)?\nAnswer: 2*l - 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3067*k**4 - 6133*k**4 + 3065*k**4 - 3*k - 5*k**2 + k - 5 as o*k + i + w*k**2 + v*k**3 + s*k**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 18*o - 32. What is the least common multiple of v(20) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 1.96.\nAnswer: -4.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 9*r**4 + 0*r + 0*r**2 + 0 - 3\/7*r**5 - 114\/7*r**3 = 0.\nAnswer: 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:57 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 10 = -1, 2*w - 12 = -k - 3*w for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -405 + 716. Suppose 1314 = h - m. Let s = -21171\/13 + h. Calculate the common denominator of 25\/8 and s.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let h(c) = 20778259*c**2. Determine b(h(a)).\nAnswer: 20778259*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68350\/75 - (-4)\/(-3). Let m be 50\/(-2)*(-6 - v). What is m rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2319, 1, -30, 2 in descending order.\nAnswer: 3, 2, 1, -4, -30, -2319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 3746*g - 41330. Determine p(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnvv. Give prob of picking 2 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7915139?\nAnswer: 43, 184073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i. Let q be d(4). Let l = q - 1. What is the derivative of 3*y - 3*y - y - l wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 217, 255, 255, 217, 141, 27?\n\"Answer: -19*b**2 + 95*b + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19424 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1020*d**3 - 3*d**2 - 18*d + 50. Is y(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20524356179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 10:44 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 - 6 - 3*y**2 + 2 + 0*y**2 - 2*y**4 as p*y**4 + x*y + u*y**2 + f + h*y**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35*(-6)\/(-15)*(-15)\/(-2) is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47e83 (base 16) in base 2?\nAnswer: 1000111111010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55566 + 32483 = 1577*f + 44728 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5 + 6*c + 3*c - 5*c. Let l be o(5). Let y = 22 - l. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + -4 + 33 + (-8 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 3) + 140 + -117?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3340.35 rounded to the nearest ten?\nAnswer: -3340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 21*t**2 + 20*t + 6. Let m be n(-20). What is the common denominator of (-135)\/(-18)*(-5)\/(-18) and (-195)\/(-28) + m\/24?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 125751072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s\/s**2)**(-4\/21)*(s\/s**(-2\/7))**(-9\/2)*s\/(s**(-2\/7)*s)*s*s**(3\/4) assuming s is positive.\nAnswer: s**(-97\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2 and 59\/1088272.\nAnswer: 1088272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:34 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 + 3.9. Let q(f) = 2*f - 2. Let n be q(2). Let y = n - -1. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2717.6 rounded to the nearest 10?\nAnswer: -2720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(112) - (sqrt(112) - (1 + (sqrt(112) + 1)**2 + sqrt(112)))) - 3*sqrt(28)\/(sqrt(4) - sqrt(36)*1)) + 3.\nAnswer: 27*sqrt(7)\/2 + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y. Suppose -f + 2*d + 318 = -555, y = -3*f - d + 2591. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/(k\/k**(-2)))\/k*k**(-4\/5)\/k*(k*k\/k**0)**(1\/33)*(k**1\/k)**(2\/5)\/(k\/(k*k\/((k\/((k**(-1\/2)\/k)\/k))\/k)))**(11\/4) assuming k is positive.\nAnswer: k**(-10381\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 20. Solve -v = -0*j + 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 41, 117, 263, 503?\n\"Answer: 4*o**3 - o**2 + 5*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 23*l**7\/2520 - l**6\/60 + 11*l**5\/120 - 7*l**4\/6 + 14*l. Let h(p) be the third derivative of z(p). Is h(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -425*h - 1102*h - 942*h in the form c*h + k and give c.\nAnswer: -2469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 105, 184, 281, 396, 529?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w - 4. Let j be ((-22)\/33)\/(5\/3 + -1). Let s(v) = -v. Determine j*n(i) + 4*s(i).\nAnswer: -9*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1724*n - 75933. Give x(44).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 9*l + 7. Let o be t(9). Let z be (o - -10) + (0 - 1). Let x = z + -13. Solve 2*u + k - 2 = 3*u, 2*k = x*u + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1172090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30683 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 660849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 - -25202*3\/(-12). Let f = 365479\/58 + b. What is the common denominator of f and (3\/14)\/(3\/(-113))?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11205 and 21165.\nAnswer: 190485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 129*p**2 - 755*p + 762. Give l(1).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-4) + 4\/(-8). Let m = -216.4 + 216. What is the nearest to -1 in v, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36288 and 3412368.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30828059?\nAnswer: 30828059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8553417 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1, -1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let z(s) be the second derivative of 13*s**6\/360 - 5*s**3\/3 - 12*s. Let v(k) be the second derivative of z(k). Give v(r(g)).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/256 and -9 + 6172\/1024 + (-12)\/(-4).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10345 + 10355. What is the closest to 0.1 in 0.1, -5, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -l + 1, -3*r + 22 - 7 = 3*l. Suppose r*u = -7 + 23. What are 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 second derivative of 2086*v**4 + 1888*v?\nAnswer: 25032*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/10*-7*(-1)\/(42\/(-24)). Let q = -1 + -5. Sort 0, i, q, -2\/7 in descending order.\nAnswer: i, 0, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192574 (base 12) in base 8?\nAnswer: -1532650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**3 + 15*d**2 + 181*d - 1017. What is the tens digit of s(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhuknkukutuh. Give prob of sequence uty.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -4 (b) -1007 (c) 5\/6 (d) 4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/742049 and 40\/472213.\nAnswer: 5194343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 8*t - 11. Let q be k(-9). Which is the second biggest value? (a) 3\/5 (b) 1\/7 (c) q (d) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004445 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssonppoppo. Give prob of sequence nsp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 31 = -p + 8*h, 0 = -4*p + 4*h - 2*h + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/(m\/m**(1\/5)))))\/(m**(-26)*m) assuming m is positive.\nAnswer: m**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 + (4 - 1 - 1)*(4 - 5 + 3) + 0 - 7 - 3)*((3 - 2 - 2)*(4*i**5 - 6*i**5 + 3*i**5) - 7*i**5 - 2*i**4 + 4*i**4 + 6*i**5).\nAnswer: 16*i**5 - 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1079)\/65*(-10)\/24 and -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36\/143 or 2868?\nAnswer: 2868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 + 7\/10. Let z(r) = 3*r - 47. Let h be z(17). Let w be h\/12 + 2\/12. Sort w, -0.2, p in decreasing order.\nAnswer: p, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, and 1 c when three letters picked without replacement from eddqeeedeeeeedeec.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10*((-36)\/(-30)*-3)\/(48\/(-64))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(12)\/sqrt(4) + sqrt(3) + sqrt(3) + 1.\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/3*l**2 + 0 - 3*l**3 - 2\/3*l.\nAnswer: -l*(l + 1)*(9*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 8:31 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + -35. Let p = 94 + h. Let b(v) = 46*v + 4. What is the tens digit of b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (6*(-3*-1*sqrt(1700) - (5 + sqrt(1700) + -2 + sqrt(1700)))*1)**2)*-2.\nAnswer: -123042 + 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + 4*-2*sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95))*-4)\/(((sqrt(275)*-2)\/sqrt(11) - sqrt(25))\/sqrt(5)))**2*-1*6.\nAnswer: -7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 2. Let m be g(-3). Let j(n) = 4*n. Let z be j(m). Solve -8 = -4*t, 3*p - 5*t + z = -3*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -3*s**5\/100 - 1179*s**4\/10 - 1390041*s**3\/10 - 1181*s - 1. Determine c so that j(c) = 0.\nAnswer: -1179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/108*(-432)\/192.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 11*p**2 - 11*p - 8. Let s be w(-10). Sort 2\/3, 0.4, -0.03, s in descending order.\nAnswer: s, 2\/3, 0.4, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2 + 3*a + 1. What is d(-3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 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: Work out 79192097486 + -76.\nAnswer: 79192097410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3021210010 (base 4) to base 11\nAnswer: -51431a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*m - 170, -2*g + 255 = -3*m - g. Let x = 89 + m. Solve -x*f - 2*w = 10, 5*f - 2*w + w = -23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.217\nAnswer: 0.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1715 - -7695. Suppose -f = -3*q + j, 17*q = 14*q - f + 9412. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*j + 419 = 0, -3*h + 233 = 5*j - 11. What are the prime factors of h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(((-4)\/24)\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, y: 10, n: 2}. Give prob of sequence nny.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20117 = 5*b + 3*u, -326*u = -4*b - 324*u + 16076. Which is bigger: b or 4020?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315.92 minutes in milliseconds?\nAnswer: 78955200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2)\/(-2 + 1). Let v(i) = 7*i**2 - 6. Let o(k) = k**2 - 1. Let n(d) = 6*o(d) - v(d). Let l(m) = -m + 1. Calculate w*n(c) - l(c).\nAnswer: c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 73 + 20*w - 69*w as p*w + q and give p.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 2. Suppose 2*g + 8 = -3*p, 3*g = 2*p + d*p - 12. Let q be 2 + (-6)\/(-2 - 4\/4). Solve 4*o + p*o = -q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -465 - -784. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + ((sqrt(720)*1 - sqrt(720))*-1 + 3 - (1 + -2 + sqrt(720)*-3)).\nAnswer: -2 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38421390 and -4.7?\nAnswer: 38421394.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 14.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**3 - 4461*p**2\/2 - 12851. Factor n(m).\nAnswer: -3*m*(m + 1487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9272611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b + 1. Let d(a) = 3. Let q(r) = d(r) - l(r). Let n(s) = -17*s + 9. Let w(o) = o**2 + 7*o - 3. Let m be w(-6). Give m*q(p) + 2*n(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65679836.\nAnswer: 2, 16419959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - o - 15 = 0, -o = 5*g - 24 - 1. Let z be (5\/2)\/((-1)\/2). Put 5, z, g in descending order.\nAnswer: 5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 + 3*l + 9. What are the prime factors of p(-5)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(2 - 2 - 2)*(-7 + 2 + 2)*(l + l - 3*l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24674)\/(-12) + 11\/6 + -2. Suppose 444 = -26*j + q. Which is bigger: j or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44818, 4, -104, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, -104, -44818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 17134.\nAnswer: -3\/17134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57\/2 of a tonne?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 5 + -9 - (-35 - -19)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00738661088 rounded to 7 dps?\nAnswer: 0.0073866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -75.71. Let c = 2.422 - d. Let r = -0.7 + c. Round r to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -876755, -876937, -877119, -877301?\n\"Answer: -182*d - 876573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20225*b**3 + 192948*b**3 - 4*b + 4*b.\nAnswer: 172723*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47157947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 23*i**2 + 54*i - 1878. Determine d(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93.97 + 94.07. What is the smallest value in 1, h, -2\/209?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/12)\/((-5)\/(-4)). Suppose -3 = l - 1, -4*o - r*l = -304. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 49 = 4*n. Suppose 427 = 3*s + y - 3*y, -n*s - y = -729. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76386236\/711 - -107435. Find the common denominator of m and -121\/18.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:43 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:36 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -17937?\nAnswer: 17933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411005, 1644034, 3699085, 6576158, 10275253?\nAnswer: 14796370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -21, 3, -68, -16, -825 in decreasing order.\nAnswer: 3, 0, -16, -21, -68, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -2 (b) -1\/4 (c) 14\/95 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 25, -2\/2637?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/66*(102\/(-51))\/(4\/(-22)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Let w(t) = -2060*t**2. Calculate o(w(k)).\nAnswer: 2060*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*g - g. What is the greatest common divisor of g and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 29. Let k(u) = 5*u + 17. Let l be k(-2). Let x be n(l). Solve 4*o = -o + 20, p - o = -x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = 0. Solve y = -0*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 8876*y**2 - 1 + 0 + 8315*y**2 - 3*y in the form m + p*y**2 + l*y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 1407 - 1278 = 0. Solve -w = -50*b + 49*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-10) + (-9)\/(-2). Let x be (-10)\/p - 1\/(-2). Let i(a) be the third derivative of -a**6\/120 - a**5\/20 - a**3\/3 - 2*a**2. Give i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*i = -8 - 5, -4*i - 10 = 2*o. Suppose -4*f + 6 = -o*f. Solve -f*x + 2*x - 5*t - 37 = 0, 0 = 5*x - 2*t + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/(-212) + (-4 - -7 - (-302)\/(-104)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 40 + 4731757*r**3 - 4731706*r**3 as p*r + s + k*r**2 + w*r**3 and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*k**2 + 337*k**2 - 796*k**2 - 3*k + 3*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -8 (c) -2 (d) -2.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 m, and 1 b when four letters picked without replacement from kmkkdbdkbmb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**5\/10 + r**4\/6 - r**3\/3 - r**2 - 3*r + 3. Let k(q) be the first derivative of w(q). Factor k(f).\nAnswer: 2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 15*p**2 + 38*p.\nAnswer: -p*(p + 2)*(2*p - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56248*a**5*l**3 + a**2*l**3 - 2*a*l + 285*l**3 wrt a.\nAnswer: 3374880*a**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50826 and 64242?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - (25\/15 + -1). Solve j = -i*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -68. Let a = 131 - v. Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566495 at least -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/24 + 23*c**3\/6 - 2350*c**2. Give i(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 6. Let h(o) = 5*o - 18. Let x(q) = -3*h(q) - 8*r(q). Suppose 0 = -66*m - 107*m - 1038. Determine x(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1930 (base 11) to base 13.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.65831l in millilitres?\nAnswer: 5658.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -30. Let s = 965\/2 - 4713\/10. Calculate the common denominator of (32\/6)\/(d\/18) and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -127.42 in -2, 5\/6, -0.1, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3513731394093734351.00000101 - -3513731419618929997. Let h = 25525195509 - f. Let m = h - -137. What is m rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50379 is divided by 882.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62.6 - -9334624.\nAnswer: 9334686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 36*k - 1045. What is y(29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 24 = 9. Is -1*(-1 - (c - 2)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + (287 - 6 - 5).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) -4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (2 - (0 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/6)\/((-2)\/(-4)). Suppose 51 = f*j - 9. Suppose 2*w - j = -3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.873 + 0.559. What is d rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 5:59 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(0*k - 4*k + 3*k) + 2*k - 5*k + 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 6:40 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006855 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*h - 187 = 0, 275 = 5*z - 15*h + 17*h. Solve 12*i - z + 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/7, -20, 1\/8, -2 in descending order.\nAnswer: 20\/7, 1\/8, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:04 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 75*d**2 + 8*d + 8. Give l(2).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.3 + 11. Let q = 21.7 - x. Let y = q + -18.072. What is y rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12196830813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.32 - 0.38. Let q = j - -0.7000003. What is q rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321927 (base 10) to base 2\nAnswer: 1001110100110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773 = 428*u - 1380 - 843 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 97575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 21882*a + 55. Let t be l(-17). Let b = t + 223039. Round b to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -27 (b) 136 (c) 1\/2 (d) -1\/3 (e) -1\/2 (f) -1 (g) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*w**2 - 12606 + 6302 + 6301 in the form f*w + i*w**2 + j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*q = -8*q + 17, 1 = -q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 6*g**3 - 3 + (-3*g**3 + g**3 + 0*g**3)*((2 - 2 - 5)*(2 + 0 + 0) + (5 - 2 - 4)*(-8 - 2 - 1)).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.56 times -0.05?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 + 264*m**2 + 44*m**2.\nAnswer: 321*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 p when three letters picked without replacement from pppwpwwppwppppwpppw.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.569 - -14.969. Which is the closest to 28? (a) -0.5 (b) s (c) 1\/4 (d) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*o - 13*o - 6*o**2 + (-2*o**2 + 4*o - 4*o)*(0 + 3 - 4).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 226836*y - 62682400.\nAnswer: 4*(y - 275)*(y + 56984)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6202362 and 1.3749.\nAnswer: 6202363.3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 11:03 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10173*f**2*u**2 - 3291*f**2 - 14*u**3 - 77 with respect to u.\nAnswer: 20346*f**2*u - 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/3 + 3242*b = 0.\nAnswer: -9726, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 13) to base 12\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1146345505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -46, -2, 5 in ascending order.\nAnswer: -46, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 329 - 265. Let i = -50 + b. What is the greatest common divisor of i and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - -9. Let x = -7 - -21. Let y = a - x. Calculate the least common multiple of 22 and y.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 - 2?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8580 rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83369697, 166739395, 250109091, 333478785, 416848477?\nAnswer: 500218167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -4 - 0\/2. Suppose -g*y + 22 = 2*w, -4*w - y + 16 + 19 = 0. Which is bigger: w or 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 5:12 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8980, -17570, -26156, -34738, -43316?\n\"Answer: 2*q**2 - 8596*q - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3876)\/(-1584) + 2\/8. Let h = -26\/11 + n. Let l = -0.079 - 1.921. What is the nearest to -0.1 in h, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (2 + -2)\/3. Let a(b) = -2*b**2 + 6 - 1 - b + o*b**2 - 4*b. What is the units digit of a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -936.\nAnswer: -93.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144769752?\nAnswer: 2, 3, 31, 37, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170143 or 170144?\nAnswer: 170143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 38. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 2*g**2 - 3*g**2)*(-3 + 4*g + 3) - 5*g**3 - 431521*g**2 + 4*g**3 + 11 + 431518*g**2 + 4*g.\nAnswer: 7*g**3 - 3*g**2 + 4*g + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/8)\/(3\/(-6)). Let j = -3 - -6. Put h, j, 4 in decreasing order.\nAnswer: 4, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(-352)\/308\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/12 - 3\/(-4). Let h(x) = 3*x - 4. Let u(o) = 4*o - 5. Let f(w) = -5*h(w) + 4*u(w). Let c(i) = -14*i. Calculate m*c(a) + 12*f(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, y: 5, e: 1, d: 3}. Give prob of sequence yyd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2317216 and 1\/1158608.\nAnswer: 2317216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - 4.1. Let a(s) = s**3 - 6*s**2 + s - 7. Suppose -t + 5*m = 2*t - 28, -t + 2*m + 10 = 0. Let d be a(t). What is the second biggest value in z, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583902 and 18810?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 263371257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53701.8kg?\nAnswer: 53701800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13*f + 9. Let w be i(0). Let h(q) = 10 - 1 + 0*q**2 + 12*q - q**2. Let n be h(w). Calculate the highest common factor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 64 - 48 + 6*q)*(2*q**2 - q**2 + q**2) as j + v*q + u*q**2 + h*q**3 and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804 times -0.2?\nAnswer: 360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-14) - 4)\/((-56)\/(-196))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 29. Let s = -2380 - -2385. Solve s - f = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 862\/11 (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**6*y)*y**(-2\/3))\/(y**0*((y\/y**6*y)\/y)\/y))**(-5\/6) assuming y is positive.\nAnswer: y**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43.2117 nanograms?\nAnswer: 0.0432117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302*s + 622492 + 326716 = 310*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*r = 6, 0 = 5*o - 0*r + 2*r - 15. Suppose q - 8 = -o*q. Let y be q + 1 - (6 - 7). Solve -w - 2*w - 3*j + 3 = 0, y*w + 2*j - 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(162\/15)*(-15)\/175.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2 - 8. Let a be (12\/(-10))\/((-4)\/s). Suppose -p + 9 = 4*w - 6, a*w = 3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.159 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 612 and 52974828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/36664 and 107\/40.\nAnswer: 183320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11100, 21424, 31750, 42078, 52408?\n\"Answer: x**2 + 10321*x + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 101 = 2*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 4) to base 11\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v + 141 = -370 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 22. Let q(h) = -u*h + 8*h - h**2 - h**2. What is q(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139315543 - -637.\nAnswer: -139314906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(-1 + (sqrt(5) + sqrt(125) + sqrt(5) + sqrt(5))**2)*1.\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 4:56 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 771*f**3 - 9*f**2 - 11*f + 22. Let s(x) = -385*x**3 + 5*x**2 + 6*x - 12. What is 11*s(t) + 6*u(t)?\nAnswer: 391*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**6\/180 + c**5\/180 + 67*c**2. Factor m(d).\nAnswer: -d**2*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 4, -4*u = 2*y + 107 - 95 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27083\/5 + 5434. Let t = -17 + b. Factor 2\/5 + 0*k - t*k**2.\nAnswer: -2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:53 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzz when three letters picked without replacement from zzjjxhzzxzzjjjjzj?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6651*-4\nAnswer: 26604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6 + 6. Suppose -3*c + w*c + 1 = 0. Is 1\/3 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2956, -3197, -3434, -3661, -3872, -4061, -4222?\n\"Answer: l**3 - 4*l**2 - 236*l - 2717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -41*o - 114. Let m(x) = x**3 - 8*x**2 + 17*x - 25. Let s be m(o). Solve -5*n = 5*g - s, -3*g = -5*n - 26 - 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2376 + 0.0076. Round k to 1 dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + 0 + 0. Let h be 41\/5 + 12\/(-60). Let w be (-2)\/(-10) - 3*h\/(-30). Sort w, f, 6 in descending order.\nAnswer: 6, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 14264500746 - 14264500746.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53\/518 + -103\/259. What is the fourth smallest value in 4, 2\/3, r, 3\/5, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (152\/1330)\/(2\/(-10)). Which is the closest to -0.08? (a) o (b) 1 (c) -1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + 38. Suppose -148*l + 96 = -146*l. Suppose 8*t = -l + 216. What is the greatest common factor of g and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 3*j - 2 - 30, -5*j = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1555063 and 39.\nAnswer: 60647457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (77118\/(-12))\/((-3)\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s + 121170 = -7*s. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.8 - -11.4. Let y = -20.200765 + l. What is y rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 47. Let o = -13 + k. Suppose 2*y - 9 = -o*y. Solve j = 2*n + 3 + y, -5*j = -2*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/9)\/(2\/9). Let p(o) = -o**2 - 7*o - 8. Let r be p(q). Let u(w) be the third derivative of -w**4\/24 + 3*w**3\/2 + 8*w**2. Calculate u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 643, -1, -5 in decreasing order.\nAnswer: 643, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/((-4)\/(-6)). Is (-5)\/15*237\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-3)\/(-3) + -2). Solve -v*l = -4*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 865\nAnswer: 3\/865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*(-1854)\/(-20). Let i = g + -124. What is the closest to 0.1 in -3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115769591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1293267926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = x + 6, 2*x - 3*q - 18 = 5*x. Let j(d) = 2 - 2 + d**2 - 6 - d. Is 12 a factor of j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/239057 and 133\/138024?\nAnswer: 464726808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 3*g**2 + 4*g**2)*(-19*g**2 + 16*g**2 + 34*g**2) in the form i + o*g**3 + b*g**4 + x*g**2 + k*g and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 k(o) be the third derivative of 0 + 5\/24*o**4 + 0*o + 0*o**3 - 26*o**2. Let s(y) = 1 - 1 + y. Calculate k(s(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 11000?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80982 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from hvdwi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*d - 70 = 0, q + 0*q - 3*d = 35. Put q, 5, 10 in decreasing order.\nAnswer: q, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9613 - 9613. Solve b = -271*w + 309*w + 228 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*n + 40 = 0, -341*y = -337*y - 14*n + 80 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 969385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 22*t + 210. Give o(16).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1027895.\nAnswer: 1\/205579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1\/7, 8\/7, -0.2, -18, 3.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -385\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 1, -122, 11 in decreasing order.\nAnswer: 11, 3, 1, -1, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or -556784?\nAnswer: -556784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1813 + 1814. Put m, 5, -3, 4 in ascending order.\nAnswer: -3, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 - 2*n + 1\/2*n**2.\nAnswer: (n - 3)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - n + 0*n - 6*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:20 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 156146.\nAnswer: -9\/156146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwwkkmqqkqhqqwbqkmqh. What is prob of picking 1 h and 1 w?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10440972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36989\/7 greater than 5284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 l when four letters picked without replacement from lxllllxlll.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q + 1375 - 1263 + 1796 = 0 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -43. Suppose 0 = -p*j + 9 + 7. Suppose 2*o - 2 = j. Put 1, -10, o in decreasing order.\nAnswer: o, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 1\/4*d**4 + 0*d**2 - 3*d**3 - 105 - 2*d. Give q(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 392, 869, 1528, 2363, 3368, 4537?\nAnswer: 5864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15556721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o + 6. Let f(k) = -7*k - 87*k**2 - 4 + 10*k + 88*k**2. Determine f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207434027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 + 6))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/19 + 3998*w**2\/19 + 15896*w\/19 - 6720 = 0. Calculate w.\nAnswer: -1995, -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 35*p**2. Let v be z(-1). Suppose -4*q - 30 = -5*o - 0*q, 5*o - 5*q - v = 0. Solve -o*b + 8 = 3*k, 16 = 2*k + 2*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*1*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/((-55)\/40)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -11*i**2 + i + 2. Let r be q(-2). Let p = r + 113. Let f = 16 - -8. What is the remainder when p is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1909, 1811, 1631, 1357, 977, 479, -149?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - s = -74, -3*m - m + 103 = -3*s. Let t(q) = -q**2 + 27*q - 28. Let k be t(m). Calculate the greatest common divisor of k and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + v**2 - v**2)*(-1 + 4 + 1)*(-3 + 2 + 2).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/5 + -17\/20. Let j = 2 + 3. Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = -u. Let f(d) = -d - 1. Let t(s) = 4*s + 3. Let q = -4 - 0. Let y be ((-1)\/2)\/(q\/8). Determine u*f(r) + y*t(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2576 and 244785044.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 1.23. Let h = q - -0.958. Round h to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7371 times -1\nAnswer: -7371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6769 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.22 + 1321599783.\nAnswer: 1321599784.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + r + 48 = 21, a + 5*r + 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1147, -1151, -1155, -1153, -1139, -1107, -1051, -965?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -925556\/119 less than or equal to -7777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 12. Let l be (-2 + 22\/8)*4. Suppose l*a = 2*c + 71, 2*c + t*c + 5 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206353?\nAnswer: 7, 41, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/2, 0, -5, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 3 = -24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13281, -26557, -39833, -53109?\nAnswer: -66385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3724*u = 3673*u - 1326 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -517*l*t**4 - 63*l*t**2 + 4*l - 2*t**5 wrt t?\nAnswer: -12408*l*t - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**3 + 5*q - 4. Let x(f) = -8*f**3 - f**2 - 15*f + 11. Let u(m) = -11*p(m) - 4*x(m). Factor u(n).\nAnswer: -n*(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 108\/15 - 2\/10. Let c = r - -1. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as 0.4222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 17742 - 20841 = -942*x + 68128 for x.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21))**(3\/8)\/(f**(-28)\/(f*f\/(f*f**4)*f)) assuming f is positive.\nAnswer: f**(145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 41. Calculate q(16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4))**1 assuming x is positive.\nAnswer: x**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -72258, 2\/17, 4\/5?\nAnswer: -72258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 588?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11753*k - 5421*k - 551362 + 1567245 = -443907 for k.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1610375 + -851698. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (0\/(-3) + 1). Suppose 4*r - j = -0*g + 2*g, 20 = 5*r. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -7*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 858203 - 858291.00245. Let j = -88 - f. What is j rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 128, 245, 348, 431, 488?\n\"Answer: -c**3 - c**2 + 127*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1202*d**4*s - d**4 + 3*d**3 - 272*s wrt d?\nAnswer: 4808*d**3*s - 4*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 bigger than 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 12.3, -2\/5, -1.\nAnswer: -15, -1, -2\/5, 2, 12.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50530 (base 6) to base 13.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0.128227, 0.2, 8?\nAnswer: 0.128227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k - 60. Let a be 6\/(-15) + (-6)\/k. Let i(j) = j + 4. Let h be i(-5). Is h at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 3109*f**5\/20 + 704*f**3 + 197*f - 2. Find the second derivative of u(c) wrt c.\nAnswer: 18654*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -0.2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-6)\/5)*20878\/4015?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 + 1 + 5*y**2 + 0 - 39*y**3 + 8*y**2. Is k(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2455.304 litres?\nAnswer: 2455304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203 + 206. Let t = 0.13 + 0.37. Let s = -1\/5 - 3\/35. What is the nearest to -1\/4 in t, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.02341 and -13240?\nAnswer: 13243.02341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -396, -1104, -2170, -3600, -5400, -7576, -10134, -13080?\n\"Answer: -g**3 - 173*g**2 - 182*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 7*c. Let a be j(-3). Suppose 0 = w + w - a. Let q(m) be the second derivative of m**4\/12 - 7*m**3\/6 + 5*m**2\/2 - 2*m. Determine q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 9. Calculate o(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x**2 - 11*x + 28. Let i(g) = 36*g**2 - 23*g + 53. Let v(w) = -4*i(w) + 9*r(w). Let h be v(4). Calculate the highest common factor of h and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 155*y - 16*y**2 - 2 + 14*y**2 as c*y**2 + d*y + s and give d.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24550 (b) -4 (c) 262 (d) -2 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 2*w - 2*w - 188 + 188 + 10*w**3 + (3*w - w + w)*(-3*w**2 + 0*w**2 + 4*w**2) to the form l*w**3 + n*w + v*w**2 + r and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 11 + 0 + (8 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-297522)\/(-26) + (-90)\/585 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284075 is divided by 21401.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {c: 7, a: 2, j: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**6)**33)**(8\/7))**(7\/4) assuming f is positive.\nAnswer: f**462","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 18 = -n - 9*n + 3*n + 8, 0 = 4*n + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6569*t + 6555*t = 168 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 9*c + 9. Let q be b(8). Let g(l) = 7*l**2 - 1. Let u be g(q). What is the tens digit of 77 - u\/3*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d - 4*d)*(-d + 0 + 0) + 0*d + 0*d - d**3 + (0*d - 2*d + 0*d)*(d**2 + 0*d**2 + d**2) + d**3 - 2 + 2 - 12*d**3 - 2*d + 4*d + 48*d**3.\nAnswer: 33*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n + 8 = 0. Let s be 0 - (n\/(-6))\/(-2). Let u = 0.068 + 4.932. What is the second smallest value in s, u, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 4*s**3 - 132. Let f(q) = 4*q - 2. Determine f(b(d)).\nAnswer: 48*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -66*v - 792. Calculate z(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (17 + -2)) + (61 - 75 - -26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 1311*b**3 + 142551*b**2 + 151767*b - 863298.\nAnswer: 3*(b - 219)**2*(b - 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -12. Let n(k) = -k**3 + 15*k**2 - 10*k. Let d be n(f). What is the greatest common divisor of 42 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Suppose -3*p + 2*b + w = -p, -5*b - 9 = -3*p. Is (2\/(-6))\/(p\/222) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 928, 929, 932, 937, 944, 953?\n\"Answer: b**2 - 2*b + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 665*o + 54*o**2 - 55*o**2 - 95*o**5 + 92*o**5 wrt o?\nAnswer: -60*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 11) + 13 - (-19 + 49) - -34\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 23, 93, 36, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2101679366 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(68)*2 + -3 - ((sqrt(68) - 6*sqrt(68)*-3) + sqrt(68) - sqrt(68)))*-5)**2.\nAnswer: 20400*sqrt(17) + 1966100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 3. Let r(y) = -1. Let s(n) = -2*p(n) + 6*r(n). Let l(w) = 22*w + 154. Let d(v) = 10*v + 84. Let k(a) = -11*d(a) + 6*l(a). Determine k(s(b)).\nAnswer: -88*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 + 4*n - 7. Is r(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 12.611?\nAnswer: 1.13499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -13 - 6*b**2 - 13*b + 13 + 5*b**2 + 22. Let v be z(-18). Let c = -19 - v. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -24*s + 12. Let c(a) = -62*a + 35. Let k(o) = 3*c(o) - 8*v(o). Let l(m) = -m - 1. Determine 2*k(t) + 14*l(t).\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Solve a*w - 22 = -7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 1 - 2*i - 2*i. Suppose 5*m = -4 - 1. Calculate y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 + 6361*d**4 + 4237*d**3 + 95772082*d**2 wrt d.\nAnswer: 60*d**2 + 152664*d + 25422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18118430 is divided by 74?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 11. Determine p(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 35*n + 9. Let x be w(0). Suppose -3 + 15 = -4*o. What is the common denominator of 105\/(-198) + o\/x and 59\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3)*(-5*x**2 + 1 - 1) + 3 - 40*x**2 + 13*x**2 + 0 as h + c*x + v*x**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzfhzzfzzzzzfzz. What is prob of sequence hfzf?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -52*q + 11. Let a(o) = 48*o - 10. Determine -4*a(m) - 3*w(m).\nAnswer: -36*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -89 + 175 - 2*x - 85. Let g = -3 + 6. Let q be j(g). Sort -4, 2, q in increasing order.\nAnswer: q, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.7 - -49. Let x = -491\/4 + 1469\/12. What is the biggest value in 10, -2, n, x?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 - 3*v**3 + 5*v**3)*(0 - 2 - 10)*(-8 + 9 - 16)*(2 - 1 - 2).\nAnswer: 180*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73259944 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - 4979 + 4979 + 322*l + 3*l**2 in the form j*l**2 + c*l + d + v*l**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -80073, -80263, -80799, -81855, -83605, -86223, -89883, -94759?\n\"Answer: -29*n**3 + n**2 + 10*n - 80055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 7 (c) 0 (d) -2\/17 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143014 - 18005. What is n rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*b**3 - 2*b + 5*b**4 + 55*b**3 + 3*b - 50*b**2 - b as i*b**2 + j*b + m + t*b**3 + g*b**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = n + 3*c, 5*c + 5 = 0. What is the biggest value in 1\/8, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2 - 14. Let l(v) = v**2 + 5*v + 7. Let m be l(y). Let n be 2\/3*3*2. Solve -f = -n*f - m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 56, 0.9, -1398\/5 in decreasing order.\nAnswer: 56, 0.9, -2\/11, -1398\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 69. What is the third biggest value in 4, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 555 = -d - 3, -5*q - 1164 = -2*d. Suppose -d = -9*m + 40. Suppose -2*r = -3*w + 174, 4*w - 2*r = 166 + m. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 12\/3)\/2 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208\/10367 or 0?\nAnswer: -208\/10367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674051577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854 a factor of 108860984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -270 and -1264.\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38301 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5300?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 5*k - 3799. Let y = k - 3315\/4. What is the common denominator of y and 29\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 - (0 - 4)*1 is divided by -2*-2*(5 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12282104573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-122)\/(-8) + (-1)\/4. Suppose -4*q + 17 + j = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 1040*n - 46644.\nAnswer: 4*(n - 299)*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -163.9 * -0.9133.\nAnswer: 149.68987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 42*u + 200. What is x(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 5, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94710922127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 + 289 + 292 - 575. Let h(r) = 11*r**3 - 17. Calculate 8*f(w) + 3*h(w).\nAnswer: w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*y - 4*y - c, 2*y - 3*c = -5. Solve -3*d - 5*k = -4*k + y, 15 = -5*d - 5*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 54*y - 28*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -416758738 or -416758739?\nAnswer: -416758739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1105 + 559 + 347 + 19*h + 301 - 16*h to the form v + l*h and give v.\nAnswer: 2312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7631 divided by 3010\nAnswer: 7631\/3010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.8 - -12.2. Let h = p + -10.6. Let v = h - -0.6. Which is the third biggest value? (a) 4 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12573 - 12571. Solve p = -o*k - 3, -44*p = -43*p - k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1542*k*p**4 - k*p + 52761817*k + 277641*p**4 - 2*p wrt p?\nAnswer: 18504*k*p**2 + 3331692*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 - 102. Let p = -79.9 + h. Let s = p - 5. Is -4 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 41\/11 (c) 9.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452482167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 502\/133 + 1*-4 and -18.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 45*d - 16 = 46*d - 88*d, 0 = -d for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -w - 4*r, -2*r - 19 = -w + r. Put w, -4, -3, 29 in decreasing order.\nAnswer: 29, w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*o - 1427 - 1300 + 1579 = 6384 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 24 = -17*t. Let v be 4 - 3\/(t\/(-8)). Solve 0*x + v*x + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -785.\nAnswer: 23\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4441 + 1220?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (561\/(-44))\/17 - (-85)\/(-20). Which is the smallest value? (a) t (b) 3 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26139312 <= 26139319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -14203?\nAnswer: 14201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2 + 2)*(-4 + 4 - 3)*(-5 + 5 + 2*w**2).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-11)*q*q*q**2)**(-1\/12)*((q*q**2)**41)**(11\/2) assuming q is positive.\nAnswer: q**(8123\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*z - 12, 6*t - 4*t + 4 = -2*z. Let l(f) = 6*f**2 + 0*f**2 + 4*f**t - 5*f**2. Let p(b) = -3*b**2. Calculate l(p(r)).\nAnswer: 45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2) - sqrt(54)\/sqrt(3)))**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Let o = 5850 - 40962\/7. Which is the smallest value? (a) o (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**3 + 0*v**2 + 0*v**2 - 4*v + 7*v**3 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13403443 (base 7) to base 4.\nAnswer: -10233330232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * -203.19.\nAnswer: -26.4147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -5\/24*n**4 - 1\/2*n**2 - 1\/60*n**5 + 2\/3*n**3 + 0*n - 10. Let x(t) be the second derivative of m(t). What is x(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + -15)\/((-4)\/(-34)). Let g = -19 + p. Let r = -8 + 5. Sort r, 1, g in ascending order.\nAnswer: r, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110313.4 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2, 1, -7 in decreasing order.\nAnswer: 1, 2\/5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6849735\/266 + -25751. What is the common denominator of -87\/494 and j?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1321 = 3*c + 5*y, 0 = -5*c + y + 1241 - 3452. Which is smaller: -441 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 418 + -406. Suppose 2*k + 8*s = l*s + 14, -2*s - 24 = -2*k. Solve 14*m - k*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 10. Let n(t) = -2*t**3 - t**2 - 19*t - 18. Let x be n(-1). Let v be g(x). Solve 0 = -2*p + v, -4*b + 6 = -p + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -408896967*y**4 + 44503559 wrt y?\nAnswer: -1635587868*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 209 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 44022 = -4*o - 13*n, 22012 = -2*o - 3*n. Let z = 2024601\/184 + o. What is the common denominator of z and 13\/22?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 3*s, 2*s = -s + 6. Suppose -10*z + 468 = -4*z. Let l = z - 68. Solve o - 4*x + v = l, -1 = 5*o + 3*x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -290 - -287. What is the fourth biggest value in 7, -2\/21, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) - (sqrt(180) + (sqrt(180)*1 - sqrt(180)))*-3) + sqrt(180) + (sqrt(180) + sqrt(180) + (-3 + sqrt(180)*1 - sqrt(180)) - sqrt(180)))*1)**2.\nAnswer: -216*sqrt(5) + 6489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 - 2*t + 1. Let z(s) = s + 5. Let n be z(-5). Suppose 2*d + n*d - 4 = 0. Let m be 2 + (-3)\/(d + 1). Determine b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 17*d + 5. Let f be b(-16). Sort 3, f, 6 in descending order.\nAnswer: 6, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 13*c - 56. Suppose -3*s - c*r = -47, 2*s - 4*r + 38 = 4*s. What is the lowest common multiple of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 69 = -2*c, -2*c - 21 = -5*w - 108. Suppose -b + 5*h = -12, 2*b + 4*h + c = -h. Let q(u) = -u - 2. Let j(d) = 3*d + 6. What is b*q(m) - 3*j(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let t be o(2). Let n be 1*(-3)\/t + 1. Find the third derivative of 2*x**4 - 2*x**2 + n*x**2 + x**2 wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = 2*r + n - 52, n + 523 = -4*r. Let l = r + 221. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4898868 and 3224.\nAnswer: 1612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 + -207. Suppose 5*v - 3*o = 1468, -j*v - 908 = -10*v - 5*o. Is v a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144 greater than 55286\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 326 + -6563?\nAnswer: -6234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -267, -383, -491, -591?\n\"Answer: 4*n**2 - 128*n - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 37 = -2*c, -47*c + 15*z - 79 = -45*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1. Let g(y) = y + 5. Let w(h) = 5*d(h) + g(h). Let c(r) = -r. Determine w(c(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -55?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-104)\/39)\/(5\/(15\/(-2))). Suppose 0*r + 4644 = a*o + r, 4*r = 0. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, m: 6, t: 4}. What is prob of sequence aamt?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*w**2 - 933447*w + 186690.\nAnswer: -3*(w + 62230)*(5*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/22 and 16\/(-152) + (-7701)\/(-5472).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 4:54 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 17. Let x be c*(4 - 4) - -2. Solve -x*q = -4*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(2 + (-2*sqrt(156))\/sqrt(12) + -1 + 1 + 4))**2.\nAnswer: -192*sqrt(13) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -185193*u**4\/2 + 47867517*u**3\/2 - 2069998434*u**2 + 60583007416*u - 58536850144 = 0.\nAnswer: 1, 4892\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.153 * 0.2\nAnswer: 0.4306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 417479403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*12\/(-702)*-3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1980)\/(-1200) - 4\/10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 895 - 862. Solve -p*d + 34*d + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4484904 (base 12) in base 15?\nAnswer: 1240694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4572531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o. Let a(z) = z**2 - 5*z + 1. Let h be a(4). Let f be (-2)\/(-6) + (-2)\/h. Solve q + 2 - f = o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 2*b**6\/15 - 7*b**3\/6 + 3*b. Find the second derivative of y(j) wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2)*(-66)\/3. Let c be (-200)\/(-495) + 4\/t. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 225*w + 1 - 226*w - 3. Let t be (-18)\/(-5) - (-8)\/20. Determine a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-3 + -4)) + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 570504887 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3129 - ((-35)\/(-7) - 6). Round r to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ea6 (base 15) to base 7\nAnswer: -12432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - sqrt(170)*3)\/sqrt(10) + sqrt(17) + sqrt(17) + 2*sqrt(17) + -5.\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 q, and 2 k when four letters picked without replacement from xxkkkxkqxxqkxxk?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -1, 34, 83, 146, 223, 314?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 30*0.00021\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - g - 196 = -909, -3*g = -2*v + 1406. Let u = v - 493. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22*-5573189\nAnswer: -1226101.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4) + -5 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**4*t + 1905686*h*t**3 + 3527*t**3 - 17*t**2 wrt h.\nAnswer: 4*h**3*t + 1905686*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -i - 2*c, -4*i = 2*c - c - 176. What is the second derivative of 3*d**2 + 8*d**2 - 20*d**2 + 2*d**3 - i*d wrt d?\nAnswer: 12*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 11271439*t.\nAnswer: -t*(t - 11271439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2242 and 0.063.\nAnswer: 2242.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -10. Let z(b) = 20*b**3 + 1. What is the units digit of z(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.06, -0.04, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 6. Let k be b(5). Solve k*h + 0 = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/2628*(-3 + 38\/10).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - (-2303)\/(-35)) + 262\/90?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 691*i**3 + 911806*i + 1 - 911806*i.\nAnswer: -691*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -13*a - 25. Suppose 2*c - a = 49. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-35)\/90)\/((-1)\/3) and 27\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 8*p**2 + 5*p - 11. Suppose 5*i + 18 = -5*x + i, -9 = 4*x + 5*i. Let h be f(x). Let g = h - 19. Round g to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 - 3*b + 3. Let a be j(-6). Let p = -47 - a. Solve 4 = q - 4*l, 0*q = -5*q + p*l - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) 0.4 (c) 2 (d) -2\/21 (e) 8.3953 (f) 3 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2264832275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b**2 - 3*b + 4. Let x(y) = -16*y**2 - 5*y + 7. Suppose -175*m + 258*m - 181*m - 490 = 0. Determine m*q(v) + 3*x(v).\nAnswer: -8*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2220 - -26641\/12. Let y(v) be the second derivative of 1\/14*v**7 + 1\/3*v**3 + 0 - 1\/30*v**6 - 1\/4*v**5 + 0*v**2 - 3*v + g*v**4. Factor y(n).\nAnswer: n*(n - 1)**2*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 371 divided by -53\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (20 + -1 + 12)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y = 35*y + 5*s + 46749, -2*s = 2*y - 31182. What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -13. Suppose 3*c + 4*v - 44 = 0, t*c - v + 0*v = 27. What is the least common multiple of c and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87804 divided by -6.\nAnswer: 14634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d + 1. Let a(q) = -7*q**2 + 9*q - 10. Let g(o) = -a(o) - 6*p(o). Let w = 3 + 1. What is the units digit of g(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 296296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r. Let u = 35 + -43. Let y be 42\/(-28)*u\/6. Let p(v) = -2*v**2 + v**y - 4*v**2 + 6*v**2. Determine k(p(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 - 1021?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 378125375*q + 159289721?\nAnswer: 378125375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(0 - 4*y**2 + 0 + (3 + y + 2 - 3)*(-20249 + 397*y + 20249)).\nAnswer: -393*y**2 - 794*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 65. Let b be (d\/(-6))\/(8 + (-49)\/6). Solve o + b*o - 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 50.80713 decades?\nAnswer: 508.0713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 69 + 24. Let d be 4\/(-10) - (-21)\/y. What is the units digit of (2 - d)\/(7\/49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10086552 is divided by 3362112.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -366134*j*t**4 + j*t**3 + 2*j*t - 17*j - 4*t**4 - 2*t**2 + 2*t + 141 wrt t.\nAnswer: -8787216*j*t + 6*j - 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454.2 - -454. Let h = 58 - 58.08. What is the third smallest value in g, h, -0.3, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = -2*n - 0*t, 3*t = 15. Suppose n = i - 6. Suppose 2*c + 192 = 4*s - 2*c, -5*c + 103 = 2*s. Calculate the greatest common factor of i and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 5*u**3 - 140140*u**2 + 4*u**4 - 7*u**4 + 140132*u**2 to the form y*u**2 + q*u**4 + h + k*u**3 + f*u and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -1, 0, -4\/7, 7.81 in increasing order.\nAnswer: -1, -4\/7, -1\/7, 0, 7.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 20 = -3*b. Let u(g) = -g - 2*g + b*g. Let c be u(0). Is -1\/2 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/35)\/(-5)*(-5)\/15.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 876*n - 58797. Calculate r(67).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x - 6*x + 43*x**2 + 24*x**3 + 5*x - 30*x**3 - 6*x.\nAnswer: -6*x**3 + 43*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 27, 1 in ascending order.\nAnswer: -3\/8, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281493 to the power of 1\/2, to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.643350079 to four decimal places.\nAnswer: -2.6434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 22, 25.16, 0, -0.07 in increasing order.\nAnswer: -0.07, 0, 0.4, 22, 25.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 10. Suppose 15 = 4*n - j. Suppose n*f - 28 = 52. What is the lowest common multiple of f and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gccr when four letters picked without replacement from bcrgscbccgcbc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*k - 79*k - 160 + 53*k + 140*k wrt k.\nAnswer: 301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637)*1*1 - (4 + (1 + sqrt(637) - sqrt(637))) - ((sqrt(637) - ((sqrt(637) - (2*sqrt(637) - sqrt(637))) + 3)) + 1*sqrt(637)*-1))**2.\nAnswer: -28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 15. Let p(z) = z**3 - 3*z**2 - 3*z + 1. Let w be p(4). Let k = -5 + w. What is the tens digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 = -44. Let j = 21 + t. Solve j*u = k - 13, 0 = 3*u - 0*k - 4*k + 25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - p + 30. Let v = p - -22. Solve 3*g - 1 + 8 = m, 4*g = -v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 16. Let y(c) = -8*c**3 + c. Let z be y(-1). Let d be n(z). What is the highest common factor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81761, 166390, 251019, 335648, 420277?\n\"Answer: 84629*h - 2868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16758 and 291498.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 11 = 3*m - 41, 4*m + 4*w - 32 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i**2 - 94*i**2 - 3 + 3 + 116*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 - 7*k + 13. What is d(3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 11*x - 9*x - 5*w, -261*w - 1108 = -2*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 178476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3065, 3063, 3061, 3059, 3057?\n\"Answer: -2*d + 3067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {h: 8, b: 6, x: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/12 - 4*b**3\/3 - 9*b**2\/2 - b - 10. Let z(a) = -a**3 + 6*a**2 + 22*a - 111. Let n be z(7). Determine y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:20 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30 - -31)\/(5\/847805) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f - 15 = 0. Let s be 15 + (-2 - (f - 2)). What is the second derivative of 3*t + 8*t**2 + 8*t**2 - s*t**2 wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/32*8\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60321, 241321, 543003, 965367?\nAnswer: 1508413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -562 + 626. Suppose -505624 = 8*m - i*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38 - 107 - 28 - 19 + 52*w**2 - 114 wrt w.\nAnswer: 104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 52 = -56 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1110 divided by -555\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4518*x - 1594. What is the thousands digit of k(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2. Let v(c) = 8612328*c**2. Give v(z(f)).\nAnswer: 215308200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/5 + 3778*l**2\/5 + 15088*l\/5 + 3016 = 0. What is l?\nAnswer: -1885, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9 + 9.9. Let v = n + -8.026. What is v rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - -28) - (-55 - -65) - 6\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyylyyulxuyqyy. What is prob of sequence ql?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 54, 44, 30?\n\"Answer: -2*b**2 + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 30 - 8) + (2 - 5). What is the highest common factor of a and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/9 (b) 0.34 (c) 3866 (d) 2\/3 (e) -6 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 177, 240, 335, 456, 597?\n\"Answer: -x**3 + 22*x**2 + 4*x + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:21 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 746*(-1)\/6*-3. Let a be 1\/(-3 + 2)*-14. What is the third derivative of -h*q**2 - 2 + 356*q**2 + 2 + a*q**3 wrt q?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 6*f = 175. Suppose -f = -10*s + 5*s. Solve 0*q = -2*u - 2*q, 4*q - s = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36931*t**3 - 2289*t**2 + t - 7.\nAnswer: 221586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 6*g - 10. Let v be c(-8). Suppose -y = -a - 24, v*y - 2*a = 3*y + 67. Suppose y + 135 = 2*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 103.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1 + -4 + 2)**2 + (sqrt(32) + -1 - (1*sqrt(8))\/sqrt(4)).\nAnswer: -21*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 6. Let z be s(24). Let f = z + -80. Sort 4, f, 0 in decreasing order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 120662780?\nAnswer: 120662775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 4\/6)*165\/(-55).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptxo when four letters picked without replacement from {p: 4, c: 3, o: 4, x: 3, t: 5}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 140420807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f - 16553?\nAnswer: -164d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 7. Let x(a) = -2*a + 7. What is -6*c(g) + 5*x(g)?\nAnswer: 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-4) + (-9)\/5 + 8.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -0.3. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*sqrt(26)*-2*1)\/(sqrt(3200) - sqrt(3200)*-1).\nAnswer: 3*sqrt(13)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 23*k**2 + 16. Let f(m) = 2*m. Calculate n(f(p)).\nAnswer: 92*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 - 3*u**2 + 27*u - 38. Calculate c(3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165506 - -2.\nAnswer: -165504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2939883?\nAnswer: 3, 23, 137, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/67 (b) 3 (c) -1404 (d) 0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44697 = -3*v - 3*k + 16533, k + 6 = 0. List the prime factors of v.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 20 = 0. Let x = 7 - y. What is the third derivative of -15*c - c**6 - 7*c**x + 15*c wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {p: 4, z: 3, a: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247049\/20 + 12347. Let y = 26\/5 + f. Let v = 0.13 + -5.13. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -1333325?\nAnswer: 1333320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2079a9 (base 13) to base 3\nAnswer: -1102121000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -1372*d**4\/5 - 625837996*d**3\/5 + 107286648*d**2 - 153266704*d\/5 + 14596832\/5 = 0.\nAnswer: -456151, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -4, 6, 2\/13, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-3\/8))*s*s*s)**23)**(-1\/3) assuming s is positive.\nAnswer: s**(-207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 125 = 23. Solve -b - 4*j = 2*b + f, 4*b = 4*j + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 2*b + 1222, 0 = -2*r + 5*b + 591. Suppose 4*c = -4 + r. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58 + 401*v + 23 - 652*v + 517*v - 46 wrt v.\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 12*v**2 - 26*v + 62. Let x be c(10). Factor 226*j - 236*j - x*j**2 + 15 + 0*j**2 - 3*j**2.\nAnswer: -5*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*l = 29, 3*x - 76 = -x - 4*l. Suppose -3*c = z - x, -2*z + 4*c + 5 = 15. Let j(o) = o**2 - 3*o. Determine j(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1009*j + 16025 = 368*j for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 - 14*p + 16. Give s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 53?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 298 = 554. Let w = j - 148. Let k(i) be the second derivative of i**4\/12 + 5*i**3\/6 - 5*i**2\/2 - i. What is k(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91158 is divided by 30354.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4775*b**4 - 4671*b**2 wrt b?\nAnswer: 114600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 + 325 = -118*b - 2531 - 2811 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 - 26*f**2 + (1 + 2 + 1)*(0*f**2 + f**2 + f**2).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3*s**2 - q**3*s + 3711*q**3 - 2366*s**5 wrt s.\nAnswer: 4*q**3 - 47320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0, 91\/6, -20429, 2\/9.\nAnswer: -20429, -4\/3, 0, 2\/9, 91\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/((-78)\/8))\/(3\/(-612)). Suppose 0 = -2*l - 2*r + 3*r + 71, -2*r = -5*l + 176. Calculate the highest common divisor of l and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199232 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2924.73582 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8235.9 rounded to the nearest one hundred?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 10, 13, 16, 19, 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -3857?\nAnswer: -36\/3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 29 - (14 + -20)) + 14 - (21 - 0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 24 + 9 + -77?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from {x: 1, b: 2, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 2*y. Let a(x) be the second derivative of -x**3\/3 - x**2 - x - 181. Let f be a(-12). Let p(v) = 9*v**2 - 11*v. Give f*h(j) + 4*p(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169543\/14 - 12117. Find the common denominator of ((-7)\/(-70))\/(16\/930) and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 749518 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4736.871 litres?\nAnswer: 4736871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**7\/420 - l**6\/120 + l**5\/60 - l**4\/12 - 15*l**3 - 3*l - 6. Let s(u) be the second derivative of i(u). Give s(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 814 - 162. Is m a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 10. Let i be (-2)\/(((-3)\/(-10))\/(24\/(-32))). Let f be (-109 - -3 - -2) + -2 + i. Let l = 109 + f. What is a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -97*j**3 + 98*j**3 - 97 + 22 - 7*j - 8*j**2. List the prime factors of u(14).\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = 0, -2*j + 5*q + 619 = 192. What is the highest common factor of j and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/448 and 35\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from odyovndiyninovo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c - 3*i = 28, -5*i - 30 = -5*c. Let p be -1*(0 + (-1 - 0)). What is the third biggest value in c, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52379705.94595723 - 1092690540.94595613. Let x = d + 1040310756. Let s = -79 - x. What is s rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 3, 0.26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*k + 60, -5*d + d = -k + 4. What is the remainder when 46 is divided by (k\/(-10))\/(1\/(-10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012170667 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.5 + -6. Let w = -0.4 + p. Which is the second biggest value? (a) -0.2 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86367354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 23.066. What is p rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582853383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) - 5\/(-6). Let p = -121 + 1575\/13. Which is the biggest value? (a) -5 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(98) + sqrt(98) + -1 - (sqrt(32)\/sqrt(4)*1)\/(sqrt(4) - (sqrt(4) - (sqrt(100) - -2*sqrt(100)))))**2.\nAnswer: 1672*sqrt(2)\/15 + 90962\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161700, -646738, -1455138, -2586900, -4042024, -5820510?\nAnswer: -7922358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7134.976 - 7084. Let b = -1.02 - -52.02. Let f = r - b. Round f to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, q: 3}. Give prob of sequence wq.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1539) - sqrt(1539)) + sqrt(1539) + 2 + sqrt(19) + 0)**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1231975, -2463943, -3695905, -4927861, -6159811, -7391755, -8623693?\nAnswer: -9855625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14 + 0 + 7 + 12 + 33*i**2 wrt i.\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 257. Is i(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*j - 50*j = -5*t, 0 = 7*t - 2*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*y - 40 = -125*y. Which is the nearest to 0? (a) y (b) -4 (c) -3 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 39. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1162 (base 13) to base 14.\nAnswer: -c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 3, h: 6, x: 1, t: 2}. Give prob of picking 1 b and 1 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/3 + -5\/3. Let q(p) = p**3 - 4*p**2 - 3*p - 2. Let d be q(5). Let o = d - 13. Sort f, 5, o in increasing order.\nAnswer: o, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(8\/7)\/w)**14 assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.1 (b) 5 (c) -0.2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v - 17. Let z(n) = -17*n + 53. What is 11*q(g) + 4*z(g)?\nAnswer: -2*g + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 165 = 3*i, -3*n + 4*n = -4*i + 220. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 100 and -1456 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -21*a - 72 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 3*z + 3*z + 2*z**3 - 5*z**3 + 4*z**3 + (0*z**2 + z**2 + z**2)*(-4*z + 3*z + 3*z) in the form c*z**2 + s + p*z**3 + k*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwsswwsw. Give prob of sequence sw.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.82 + -1.22. Let q(b) = -b**2 - 4*b + 4. Let w be q(-5). What is the closest to -0.1 in j, w, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 - 265282379?\nAnswer: -265282626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8316067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(12\/7))**(-19)*l**12*l*l**(-2\/39) assuming l is positive.\nAnswer: l**(-10544\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 - 57*q - 19. Let w be o(20). What is the highest common divisor of 98 and w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -4*s**6\/5 + 31*s**2\/2 + 19*s. Differentiate l(j) wrt j.\nAnswer: -96*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from heeh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3804*h + 38034. Calculate l(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 7*w**2 + 8*w + 2. Let g(b) = b + 1. Let s be g(-9). Let j be n(s). Solve 6 = j*f - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 7}. Give prob of sequence mom.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 147449.5ml?\nAnswer: 147.4495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 8*l**2 - 2*l - 4. Let h be p(-4). Solve -r + h = -0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -5*w + 0*w**2 + 7 + 0*w**3 + 7\/4*w**4. Find the first derivative of x(r) wrt r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 708277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 319 - -316. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 3*r - 3. Let c be (-6)\/(-8)*(-40)\/(-15). Suppose 66 = -c*b - b. Let y(d) = 7*d**3 - 11*d - 11. Calculate b*z(p) + 6*y(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p = 0. Solve 5*r - 12 = -0*r + 3*j, 2*r + j + 4 = p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 755*o**3*w**3 + 1593*o**3*w**2 - w**4 + w**3 wrt w?\nAnswer: 4530*o**3 - 24*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34583821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 - 2*p**2 - 2. Let i(t) = 4*t**2 - t - 1. Let c(k) = 3*k**2 - k - 2. Let d(r) = 3*c(r) - 2*i(r). Let a be d(3). What is the tens digit of j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110102 (base 3) in base 13?\nAnswer: -a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8 + 123\/6. Suppose -5*n - 4*l - l = -30, 0 = -3*n - 2*l + g. Suppose n*f - 3*f + 20 = 0, -2*p + 26 = f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4*s + 7 = 0, 400*v - 405*v - 18 = -s. Let u = 1676\/7 - 245. Which is greater: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 10. Is ((-33)\/w - 2)*-4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 321 = -324. Suppose 0 = -3*o + o + 44. Let z = o - c. Solve 3*w + 0*a = -2*a + 6, 5*a + z = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*r - 491*r - 189 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 0 - 699*8\/(-12). Let d = -299 + p. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 - 11*w + 3. Let g(p) = 8*p**2 + 22*p - 5. Let m(c) = -4*g(c) - 7*k(c). Give m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*z - 21, w + 7 = 8*z - 4*z. Suppose -2*n + 84 = -w*n. What is the remainder when n*15\/12*-1 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(2800))*5)**2.\nAnswer: -72000*sqrt(7) + 2523600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36626039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -493\/6 (b) 1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*l + 5*l - 2, -2 = -4*l + 5*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10292419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s*s*s)\/(((s\/(s*s*s\/(s*s*(s*s\/s**1*s)\/s)))\/s)\/s))\/((s\/(s**(-7)\/s))\/(s**2*s)) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - 43. What is the lowest common multiple of 15 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 7*g + 9. Let n be h(-6). Let b = n + -3. Is 0 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1276)\/(-132))\/29*5\/((-40)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-1) - 630\/108. What is the second smallest value in 5, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*v - 729466, 1458908 = -1940*n + 1944*n - 4*v. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 4 - (3 + -3 + (42 - 65)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252106 divided by 2.\nAnswer: 126053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + t**2 - 11*t - 12. Let q be l(-4). What is the closest to 0 in q, 0.2, 1\/4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -459*l + 4754. Let h be o(-17). What is h rounded to the nearest 100?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93398.\nAnswer: 2, 17, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 760807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374136 by 84.\nAnswer: -4454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55\/(-11)*(2 - 3) + 213862\/22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -75.5. Which is the third biggest value? (a) 0.4 (b) r (c) 1\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89761 greater than 89787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 106472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}