diff --git "a/data/dm_maths/full_data/9836_11255.jsonl" "b/data/dm_maths/full_data/9836_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/9836_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundred millions digit of 1240854897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 10. Let a be b(-8). Let s(z) = 2*z**3 + 15*z**2 - 31*z - 18. Let m be s(-9). What is the highest common factor of m and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) - (sqrt(140)*2 - sqrt(140)) - sqrt(140))\/((sqrt(56)*1)\/sqrt(8)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11522*d**3 + 3841*d**3 + 3*d**2 + 3839*d**3 - 3*d**2 + 3851*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x + 1. Let r be s(-4). Let n = -30 + 41. Calculate the highest common factor of r and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588 (base 10) to base 5.\nAnswer: 4323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318 - -324. Let c(a) be the first derivative of 0*a**2 - 2\/9*a**3 - 1\/4*a**4 - 1\/15*a**5 + q + 0*a. Solve c(u) = 0 for u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4464, 4101, 3488, 2619, 1488, 89, -1584, -3537?\nAnswer: -5776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/12)\/((-4)\/174). Calculate the highest common factor of 174 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89231 = -7623*l + 67034 - 3805 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*k + 2, 2*y = 3*k - 511. Let v = y + 451. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91947409 to the nearest integer?\nAnswer: 9589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-2 - 5*l + 2)*(7 + 0 - 3).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1443 by -37.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(15)\/sqrt(5) + 5)**2 + (-1 + sqrt(108) - sqrt(108)) + -1 + sqrt(12) + 1.\nAnswer: 12*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 16, 5*d + j - 5*j + 16 = 0. Suppose d = -4*l + 70 + 34. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.1, -3, 77, 0.2?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 + 18*z**2 + z + 5. Let x be (-53)\/6 - (25\/(-6))\/(-25). Let q be h(x). Let c(n) = n**3 + 2*n**2 - 5*n - 6. Give c(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**39*(p**(-16\/9)\/p)\/p**(3\/13) assuming p is positive.\nAnswer: p**(-352\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*r + 1, -45 = -4*m - 5*r + 28. Which is the closest to -1.8? (a) 1\/5 (b) -2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15714559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1357, -1356, -1355?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 683356, 683354, 683350, 683344, 683336, 683326, 683314?\n\"Answer: -x**2 + x + 683356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(9\/4))\/((-44)\/15642). What are the prime factors of (((-16)\/(-2))\/4 + -1)*g?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1881*t**4 - 559*t + 1.\nAnswer: 22572*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/2*8\/(-4). Suppose 6 - 4*g**3 - g**3 + 2*g**3 + 12*g + b*g**2 - 18 = 0. What is g?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-44)*4)\/((235\/30)\/47).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {w: 2, n: 2, v: 1, b: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyxdddsdysddyd. Give prob of sequence dxdy.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.098 * -21\nAnswer: -2.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/762 and 85\/1524?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55399516*l**4 + 49348061*l wrt l.\nAnswer: 664794192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75657 or 75651?\nAnswer: 75657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 - -5) - (-11 - -12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 2*b**7\/105 + b**5\/12 - 3*b**2. What is the third derivative of y(m) wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4521.17 - -4521. Which is the closest to -1? (a) 4 (b) z (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 5*w**2 + 2*w - 5. Let o be b(-4). Suppose 0 = -d - o*d + 12. Suppose d*m - 2*f - 3*f = 31, -49 = -4*m - f. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 11. Let c be k(-8). Suppose c*g = 4*g - 20. 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: Let u(q) = -49*q. Let i(h) = -4*h - 180*h + 137*h. Give i(u(m)).\nAnswer: 2303*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3217*k**3 + 49*k**2 - 7*k. Let l(g) = -2*g**3 - g**2 - 2*g. Let s(q) = -3*l(q) + p(q). Find the third derivative of s(r) wrt r.\nAnswer: -19266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 2. Let b(f) = f. Determine 5*b(m) + g(m).\nAnswer: 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6516 less than -6517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17624543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 16. Calculate d(24).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8628, -34110, -76456, -135672, -211764?\n\"Answer: -b**3 - 8426*b**2 - 197*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*b**2*q**4 + 2*b**2*q**2 - 4*b**2 - b*q**4 + 2*b*q**3 + 3*b*q**2 wrt q?\nAnswer: -1200*b**2*q - 24*b*q + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - -555?\nAnswer: 554.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15603 + 1529113\/98. Calculate the common denominator of -137\/42 and d.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**7\/840 - y**6\/72 + 5*y**4\/24 - 3*y**3 - 14. Let l(w) be the third derivative of p(w). Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.5 + -38.9. Let v = g + 18. Let t = v - -2.3993. What is t rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1047, -1009, -945, -843, -691, -477?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:09 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:42 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*j - 887 = 0, -3*j - 895 = -5*m + 2*j. Suppose -63*g = -66*g + 54. Calculate the remainder when (m\/(-4))\/(2\/(-4)) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -55, -78, -101, -124, -147?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034682 to the power of 1\/2, to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 78. Let o be p(21). Find the common denominator of 15\/o*136\/(-16) and 73\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at least -1.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7425*-0.2.\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 9\/(27\/6). Let b be 1\/(d\/(4285 + 0)). Let w = 260 - b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355823866.\nAnswer: 2, 151, 4489483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1269 and 320493?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 19*d - 11. Let z be l(-2). Solve z*s - 4*u = 16*s + 6, 2 = 2*s - 2*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*f**2*m**3 + 405*f**2*m**2 - 2*f**2*m - f**2 + 56*f*m**3 + 66*f*m**2 - 3*m**3 - m**2 wrt m?\nAnswer: 522*f**2 + 336*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:26 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000325841805 to 6 dps.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214 and 9.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 - 58 - 28*l)*(0*l**2 - l**2 + 2*l**2) + 4*l**3 - 15*l**3 - 38*l**3 + l**3 - 4*l**3 + 2*l**3 as y*l**3 + z*l**2 + o + n*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((13\/(-10))\/(-13))\/((-3)\/12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126.4 + -116. Let u = o + -46.9. Let q = 37 + u. Sort 0.1, q, 2\/5 in decreasing order.\nAnswer: q, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {n: 2, x: 18}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -28741456 divided by -3\nAnswer: 28741456\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.4 - 37. Let q = b - -1.6. What is the third biggest value in 4, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 76*u - 10. Let n(k) = -15*k + 2. Calculate -11*n(y) - 2*z(y).\nAnswer: 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14020, 13878, 13736, 13594, 13452?\n\"Answer: -142*x + 14162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-50)*(-84)\/56*-15.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10794630 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 732649680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-27) + (-44)\/36 + 0. Sort q, -4, 7, -2 in decreasing order.\nAnswer: 7, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*q - 35, h - 43480 = 5*q - 43450 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a - 46*a - 6*a - 25*a - 237 wrt a?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -5798.\nAnswer: -38\/2899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*g + 367*g - 4433 - 2749 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(30)\/sqrt(5)))\/((sqrt(108) + 4*sqrt(108) + sqrt(108))\/sqrt(12)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 4. Let k(c) be the first derivative of -c**5\/40 - c**4\/4 - 4*c**3\/3 - 11. Let d(a) be the third derivative of k(a). Give 5*d(t) + 8*f(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437514567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*p**3 - 20*p**2 + 20*p**2.\nAnswer: -157*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-93 + 94 + 158)*(1 + 1 + 1) + 4 + 4 - 6)*(1 + 1 + 0)*(-4*a**4 - 3*a**2 + 3*a**2).\nAnswer: -3832*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 1. Let q be j(-4). Let d(z) = 0 + q - z**3 + 0 + 11*z**2. Is 3 a factor of d(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**2 - 102*s + 1. Let l(b) = 19*b**2 + 307*b - 2. What is 8*h(i) + 3*l(i)?\nAnswer: i**2 + 105*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -185, -662, -1589, -3116?\nAnswer: -5393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33294 is divided by 208.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 - (-48)\/22. Let t be h\/(-7) - 4103\/(-77). What is the first derivative of -t*q + 42*q - 3 - 6 wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3387.9 + -60.\nAnswer: 3327.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4 + 494*w**3 - 40338*w**2 + 1060906*w + 2287148 = 0.\nAnswer: -2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1329 and 79\/24?\nAnswer: 10632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5541 is divided by 167?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = -0*z, -143 = 2*a + 3*z. Let t = a + 125. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k - u + 0*u - 3 = 16*k + 35*k, 151*k + 3*u + 293 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 307, 304?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150272 - 4*n - 150295 - 150271 + 6*n + 450838.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**2 - 45*s. Let g(f) be the third derivative of f**5\/60 - f**2 + 712. Determine g(i(p)).\nAnswer: 49*p**4 + 630*p**3 + 2025*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 7.3, -0.5, -5.\nAnswer: -5, -0.5, -0.06, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 72.62?\nAnswer: 72.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 4*s - 155. Let h = s + -75. Let m = h - -15. Solve -r - 3*b = r - 4, -4*b = -m*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 13*q**2 + 2763*q + 33729. Give b(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**6\/120 + u**5\/5 + 5*u**4\/8 - 25*u**3\/6 + 77*u**2 + 2*u. Give s(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111011110100 - 10001010110100?\nAnswer: 10110001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -4 + (8 - (11 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 - -48e?\nAnswer: 46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5155*p*y**3 + 116*p*y - 75*y**3 - 1145 wrt y.\nAnswer: 30930*p*y - 450*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 - 3) - ((6 - 25) + (-83 - -10)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -126*d**2. Let g(z) = 2*z**2 + 13*z + 13. Let p(s) = -s**2 - 6*s - 6. Let a(v) = 6*g(v) + 13*p(v). What is h(a(r))?\nAnswer: -126*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 + 5*f - 3. Let h be g(-6). Let c = -3 + h. Solve -4*z + 3 + 9 = o, c = -4*z - 4*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 1 m when three letters picked without replacement from jmxnrnmxp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -375796 + 132796. What is o rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46662 greater than 46897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(-1)\/(-12)*6. Solve h = 4*z + 22 - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328 = 7*o + 265 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f - r = -11, -19 = f - 5*r. Let a(d) = -d**3 - 40*d**2 - 34*d + 195. Let h be a(-39). Put -2, f, h in descending order.\nAnswer: f, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102 - -10010?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1647.756 + 607\nAnswer: 2254.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 17213.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294636229 is divided by 459.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and 0.016.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1047*d**3 + 2*d**2 - 549 wrt d?\nAnswer: -3141*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*s - 319, 0 = -0*s + 3*s - 5*m - 180. Suppose 5*n = 5*o - s, -2*o - n = -7 - 25. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + (-2 - -5) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q - 0*q. Let p(a) be the third derivative of q*a - 5*a**2 + 0 - 2\/15*a**3 - 1\/300*a**5 + 1\/30*a**4. Factor p(n).\nAnswer: -(n - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 4. Suppose 4*w = 12 + 12. Let f be c(w). What is the second smallest value in f, -5, 2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 23*k. Let f(g) = -581150*g**2. Determine t(f(q)).\nAnswer: -13366450*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 284, -2, -1, -276 in descending order.\nAnswer: 284, 4, -1, -2, -3, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 8*y + 6*y)*(-4861 + 4861 - 107*y)*(-y - y + 0*y) as i*y**3 + z*y**2 + q + b*y and give i.\nAnswer: 2996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -863*d - 101. Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -35*c**2 - 5*c - 566. Let t(v) = -16*v**2 - 2*v - 285. What is 4*m(a) - 9*t(a)?\nAnswer: 4*a**2 - 2*a + 301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from qqpdqpqpppdqd?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcdcddccdcc. What is prob of picking 4 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128583\/22 + 5843. Let h = 47042 + -1787709\/38. Let u = 10\/19 - h. Calculate the common denominator of u and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -1\/40 (c) 1\/7 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*j**3 + 344*j**3 + 3*j - 165*j**3 - 3*j**4 + (-j**3 - j**3 + 0*j**3)*(-j + 5*j - 3*j).\nAnswer: -5*j**4 + 37*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 7 = -d, -d - 9 = -0*d + 4*a. Let y = 6 + d. Suppose 0*t + 60 = y*t. Calculate the highest common divisor of t and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 24*u**2 + 3. Let a be g(-24). Let d be (2 + 0)*(5 + -3). Solve -a*m = -3*z + 6, -12 + 0 = -d*m - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 2\/3, -0.2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 8. Let v(i) = i + 3. Let q(d) = 8*v(d) - 3*x(d). Suppose 240 = -u - 5*u. Let f = u + 43. Give q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27931 divided by 27931\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/24 and 41\/360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25681424*f**2 + 10776940*f + 2?\nAnswer: 51362848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.28 + -18.3. Let r = 0.8 + -3.8. Let g = r - p. Is 1\/3 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13056 divided by 768\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 146. Suppose -62 = -4*a + d. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5321 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 33937.7*-0.5\nAnswer: -16968.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-1 + 0)*-1). Suppose 1 = 2*p - k. What is the second derivative of 8*g**p + 8*g**5 - 9*g**5 - 8*g wrt g?\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxx when three letters picked without replacement from ssssxxo?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 + 115. Let b(h) = h**3 - 11*h**2 - 12*h. Let g = -15 + 27. Let i be b(g). Put 1, i, u in increasing order.\nAnswer: i, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 472 (b) -2\/13 (c) -9 (d) -5 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -26. Suppose -f - t*l + 11 + 49 = 0, -4*l = 4*f - 236. Let s = -35 - -50. What is the remainder when f is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78659 is divided by 277.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 0.2, 28510?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/13 - 107\/780. Let q(h) be the third derivative of 9*h**2 + 0 + 1\/12*h**4 - 1\/6*h**3 - 1\/120*h**6 + g*h**5 + 0*h. What is q(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0, 2222, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16312 - -16310. Which is the smallest value? (a) -2\/9 (b) -76 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(425) - sqrt(425)) + sqrt(425) + -4)**2 - sqrt(425) - sqrt(425)) + ((sqrt(17) + 1)*4 - (4 + 2*sqrt(17))).\nAnswer: -48*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-161 - 236 + 67 - 42)*(3*g**3 + 4*g**3 + 2*g**3) as b*g**2 + r*g**3 + k + z*g and give r.\nAnswer: -3348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2910.\nAnswer: -1\/2910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u**2 + 1\/5*u**3 - 9\/5*u.\nAnswer: u*(u - 3)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2129*i + 15063. What is m(-7)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vffhfqffqqhhf. What is prob of sequence hqhq?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8319018?\nAnswer: 2, 3, 17, 81559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7)*z**4*z)\/(z**(-11)*z*z**(2\/11)) assuming z is positive.\nAnswer: z**(1108\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.093 + -67. Round a to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1078 and 75\/664342.\nAnswer: 7307762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140267514?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from uyqyyqqqqqsquy.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q + 8 = 0. Let j be (2 + (0 - q))\/(-2). Suppose j = -2*c + 18 + 92. What is the highest common divisor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 237138 = 3*g - 8*g, 3*g - 142285 = -v. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 11 + 1)*(-o + 2*o - 2*o)*(0 - 6 + 4)*(0 - 6 + 3).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (213\/(-143) - 1) + (-63882)\/1001 + 64\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 342. Suppose 27*a = 22*a + v. Calculate the highest common divisor of a and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 3, o: 3, l: 4}. What is prob of sequence po?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 10*g + 4. Let v(l) = -2*l**3 - 4*l**2 + 15*l - 3. Let o(w) = -w**3 - w**2 - w + 1. Let y(i) = -4*o(i) + v(i). What is -11*u(n) - 6*y(n)?\nAnswer: -n**3 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f**3 + 4 - 4)*(1 + 1 - 1) + 0*f**3 + f**3 + f**3)*(-1 + 4 - 4 - 3 + 6 + 0 + (-1 + 5 - 3)*(0 - 3 + 1) + 0 + 1 + 1).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 152.4, -9\/19, 2, 1\/8, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266002, -265173, -264344, -263515, -262686?\nAnswer: -261857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-6) - 2\/(-6). Let l be (s\/(-90))\/(25\/(-125)). Which is the third smallest value? (a) -2\/7 (b) 84 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 54. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/20*184\/4416.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + 15. Suppose h + f = 612. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 438466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/8 + 347577*f.\nAnswer: 3*f*(f + 926872)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(2\/27) assuming b is positive.\nAnswer: b**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o - 6. Let t(r) be the third derivative of 5*r**4\/8 + 13*r**3\/6 + 2*r**2 + 12*r. What is -13*h(g) - 6*t(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 5\/7, 5, -2, -525, -3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 25 = -5*t, 5*o - 40 + 65 = -2*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 735 and 588?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 m when four letters picked without replacement from {n: 3, v: 4, m: 4, s: 3}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -629.8189 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65290279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -65*v**3 - 35*v**2 + 150*v + 10. Let k(u) = -23*u**3 - 12*u**2 + 50*u + 3. Let b be -17 + 21\/6*2. Let h(l) = b*k(l) + 3*q(l). Factor h(t).\nAnswer: 5*t*(t - 1)*(7*t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4.835127us?\nAnswer: 0.00000008058545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-94680)\/(-204) - (-4)\/(-34)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 3 + 19*n + 0 + 3.\nAnswer: 19*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -24. Let f be 4\/3*(-18)\/n. Suppose 0 = 2*z - 3*z - f. Sort -5, z, 0 in ascending order.\nAnswer: -5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002141 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/11, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101211011 (base 3) in base 5?\nAnswer: 21410120","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 39, 62, 103, 168?\n\"Answer: r**3 + 4*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 8. Suppose -4*c - 23 = 5. What is the remainder when 50 is divided by l(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qknkyiykpkkkkipqk. Give prob of sequence qki.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (79 - 16) + (-194 - -86)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 65*z - 77. Let v(s) = -s**2 - 16*s + 19. Let g(f) = -2*k(f) - 9*v(f). Let t(y) = 6*y**2 + 5*y - 6. Give 4*g(a) - 11*t(a).\nAnswer: 10*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-44) + (-2416)\/22. Which is smaller: o or -109?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -564492 divided by -4.\nAnswer: 141123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 5. Let u(g) = 14 - 102*g + 51*g + 61*g. What is -16*i(d) - 5*u(d)?\nAnswer: -2*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/2 of a decade in months?\nAnswer: 5460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -76 - -87 - (20 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 32*c**2 + 12*c + 413. What is g(-32)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -17)*(-5)\/(-210).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10053100 rounded to the nearest ten thousand?\nAnswer: -10050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.12 - -93.88. Let w = a - 96. What is the nearest to w in 6, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Suppose -6 = -4*o + 2. Factor 0*k + k + k**o + f*k.\nAnswer: k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 412918224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -1\/24*z**4 - 23*z**2 - 5\/6*z**3 + 0*z + 0. Let v(g) = -2*g - 6. Calculate 3*f(y) - 2*v(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 + 16 = 5*z, 5*z = v - 1. What is the remainder when 12 + 312\/18 + (-8)\/(-12) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 52 in -0.15533, -5\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 17, 28, 41, 56, 73, 92?\n\"Answer: y**2 + 6*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -432 + 616. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5 in ascending order.\nAnswer: -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 divided by -1.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 841.1065 millimeters?\nAnswer: 0.8411065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437769798?\nAnswer: 2, 3, 72961633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10240509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2708070?\nAnswer: 2, 3, 5, 19, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001011111000111010010 (base 2) in base 5?\nAnswer: -1114033423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -4 + 0*r + 0*r**4 - 1\/360*r**6 + 0*r**3 + 9\/2*r**2 + 1\/180*r**5. Let w(i) be the second derivative of s(i). Factor w(y).\nAnswer: -y**2*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 3*l**2 - l**2)*(0*l + l + l)*(-4*l**2 - l**2 + 2*l**2).\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14)*3*(-32)\/(-128)*1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23107276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*n = -31, 5*o + 37 = -2*n + 97. Solve -5*h + 22 = -3*t, 2*t = 3*h - 0*t - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146546 is divided by 36630.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 2*r**2 + 8*r - 6. Give u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = -6*g + 304. Let z(s) = 48*s - 108. What is the hundreds digit of z(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -638.303474 to one decimal place.\nAnswer: -638.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 22*s**2 + 14*s + 63. Calculate the least common multiple of 528 and k(10).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84, 1426, 3662, 6792, 10816, 15734?\n\"Answer: 447*r**2 + r - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 10. Let i be s(-7). Let g(h) = -h**2 - 4*h - 2. Let j(q) = 4*q**2 + 13*q + 7. Calculate i*j(d) - 14*g(d).\nAnswer: -2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1. Let w(b) be the second derivative of b**6\/720 + b**5\/40 - b**4\/4 - b. Let q(x) be the third derivative of w(x). Give 3*p(m) + q(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17 + 9 + 25 - 2\/(-2). Let v(c) = 5*c + 8 - q + 7*c**2 - c**3 + 5*c. Give v(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19078402 to the nearest integer?\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**3 - s**3 - 3*s**3 + (-4*s**3 - s**3 + s**3)*(1 - 1 - 4) - s**3 - 5*s + 5*s.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 71. Let y be 2 - (z + -1 + -10). Suppose y*x = 578 - 162. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 10:29 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13489 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/100 - (-2622)\/1140.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13\/3 - 1) + 22\/(-66). Let l(p) be the third derivative of 0*p**s - 1\/20*p**5 + 0*p + 0 - p**2 + 0*p**4. Find n, given that l(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152165 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: What is (-63 - (-21 + -59)) + -108?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-121)\/56 - (95\/(-40))\/(-19)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 117*v**2 + 124*v - 3794. Calculate n(59).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 37455627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 532.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)\/r)\/(r*r**(2\/23)\/r)*r**7*r*(r\/((r\/(r\/((r*r*r\/r**(-1))\/r)*r))\/r))\/r*(r**(-2\/5))**(-28)*(r**(2\/3))**(-2\/25) assuming r is positive.\nAnswer: r**(211171\/12075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2195 plus 0.26030745336?\nAnswer: 0.04080745336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78092, 312396, 702906, 1249628, 1952568?\n\"Answer: l**3 + 78097*l**2 + 6*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -86, -287, -682, -1337?\nAnswer: -2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 6:21 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354 divided by -9?\nAnswer: -1354\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 20*f**5 - 46832*f**4 - 301428*f**3 + 2076992*f**2 - 3193808*f + 1239744 = 0?\nAnswer: -11, 3\/5, 2, 2348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 6*x + 2934. Let g(h) = 5*h**2 + 7*h + 2934. Calculate -6*g(k) + 7*l(k).\nAnswer: -2*k**2 + 2934","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 2. Suppose v + r = 2. Suppose 0 = m - 2*c + 3, -40*c - 20 = 3*m - 35*c. Sort v, m, -4 in decreasing order.\nAnswer: v, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Suppose -12 - n = 5*v. Let z be 2\/(-8) + (-14)\/8. Is z not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*j = -326*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -399.213 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 110*p = 0. Let v(m) be the second derivative of -35*m + p + 0*m**2 + 15\/4*m**4 + 20\/3*m**3. What is the second derivative of v(l) wrt l?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 h when two letters picked without replacement from {h: 7, z: 4, a: 5}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 9:24 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 at most 1\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**15\/(l**(1\/3))**(-1\/84) assuming l is positive.\nAnswer: l**(-3779\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417394 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4))**(2\/17) assuming g is positive.\nAnswer: g**(-3\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 208334.\nAnswer: 625002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 3:46 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 142018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 1147, 2563, 4543?\nAnswer: 7087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20466*j + 20443*j = -5*l - 151, 0 = -4*j - l + 30 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t + 95*t + 52*t.\nAnswer: 200*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2056 and -113\/348068?\nAnswer: 178906952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9862, 18001, 26140, 34279, 42418, 50557?\n\"Answer: 8139*h + 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + k. Let b(n) = 7*n**2 + 4*n + 32. Let y(o) = b(o) - 3*d(o). Is y(-7) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 102265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*-2*2 + (sqrt(99) - (sqrt(99) + 4*(sqrt(99) - (sqrt(99) - ((sqrt(99) - -1*sqrt(99)) + sqrt(99)))))))\/(-5*-1*sqrt(900)) + 0)*5)**2.\nAnswer: 704\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2004 by -501.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -4 (b) -7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3663616647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/5, 0.1, -3\/26, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((887028\/(-1915))\/(-193))\/((-6)\/(-40))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 339*j**2 + 27*j - 85. Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, d: 4}. What is prob of sequence nddn?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.361748nm?\nAnswer: 0.000008361748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -37166*(-2)\/(-8)*(-4 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(16\/(-12))*(-30)\/(-27)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10) + 4677\/(-15). Let h be (g\/(-42) - 4)*14\/4. Solve 3*f = 3*c, f + 3*c = -2*f + h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*k - 596 - 373*k + 293 - 319.\nAnswer: 4*k - 622","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 minus -14338134.4?\nAnswer: 14338209.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 47 = 17*p, x + 9 = 3*p + 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvjljlvlvvvlvjvjj. Give prob of sequence vj.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 614678731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*c - 52 + 21 = 0, 2*f + 5*c = -50 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 195\/21 - (5\/(-7) - -1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*p - 20, 5*d = -2*p + 5*p + 2. What is the units digit of (-167*(-2)\/p)\/(14\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4668 - 35?\nAnswer: -46a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1744 - 1744 + 1497*z**3)*(-z**2 - 2*z + 2*z).\nAnswer: -1497*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 9 - 31. Suppose 0 = 5*k + 25 - a. Put -5, k, -4 in increasing order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {s: 1, j: 1, e: 1, t: 1, x: 2, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (15\/10)\/((-6)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1) + -4 + 13. Solve 0 = -3*a - l, 4*y + 2*a - 7*a = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15698 is divided by 1940.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 266 + 1282 = 2*d, -3*d - 996 = -4*u. Calculate the smallest common multiple of u and 54.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 4*a**2 - 11*a - 22. Give l(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*d + 18. Let z(a) = a**3 + 8*a**2 - 9*a + 7. Calculate the remainder when 11 is divided by z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27 (b) 4013428 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 9324\nAnswer: -27972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 12, 5*f + 64 = 2*v + f. Suppose 0 = -4*l + 4 + v. Let r(t) = t**3 - 6*t**2 - 6*t + 4. What is the remainder when 30 is divided by r(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480548129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:53 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 187*o - 1397. Determine y(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005019 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55825 times -65?\nAnswer: -3628625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 42 + 1. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 2*p + 15, -p = t - 3. Let g be (-6 - 7)*(-42)\/273. Solve g*n = -t - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -50 + 0 + -5 + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/((-30)\/(-63)*(674784\/(-160))\/33).\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*n - 8833 - 11285 = -550*n for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171)*-3 + sqrt(171))*-3*-1 + 2 + 4)**2 + 4.\nAnswer: 648*sqrt(19) + 55444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 + 155. Let r = g + -44. Let h = 1.7 - -0.3. Sort r, h, -0.3 in descending order.\nAnswer: h, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1622, -1615, -1588, -1529, -1426, -1267?\n\"Answer: 2*b**3 - 2*b**2 - b - 1621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 26 in increasing order.\nAnswer: -3, 1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -2)*(-80024)\/84. Let d = 375 - z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 141831, 283632, 425375, 567030, 708567, 849956?\n\"Answer: -5*j**3 + j**2 + 141833*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16116757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-660)\/(-72) + -9)*0. Let r(g) be the third derivative of 6*g**2 + 1\/42*g**4 + 0*g + 0 + q*g**3 + 1\/210*g**5. Solve r(u) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 t, and 1 f when four letters picked without replacement from {f: 2, c: 6, t: 6, x: 3, z: 3}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 h, and 1 z when four letters picked without replacement from hhhhzhmhhzhhmhllhmzh?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 - 106*a**4 - 757*a**3 - 7*a**2 + 75967 wrt a.\nAnswer: 240*a**3 - 2544*a - 4542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 6. Let y be 0\/1*4\/(-8). Let g = y - -1. Suppose -3*i = -4*b + 3, 0*i = 4*b + i + g. Determine d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 3*m + 8. Let y be v(-11). Let l be -4*(y\/(-8))\/(-7). Suppose 3*h = -4*q - l, 3*q - h = q - 9. Sort -4, -3, q in descending order.\nAnswer: -3, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1514.9915 - -1525.6. What is c rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-507)\/(-2925)*585 + 18\/(-45)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000358810763 rounded to 7 decimal places?\nAnswer: -0.0003588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-15))\/((-2)\/(-5)). Suppose b - 23 = 2*s, -4*b + 25 = k*s - 17. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -582385993\/18924550 - -206\/603975. Let y = w + 1191\/47. Calculate the common denominator of y and 17\/4 + (-1)\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 46*v**2 - 136*v + 100. Calculate s(43).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2)*1\/2. Solve -4*c + c - 15 = r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -357?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42668000 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 3:48 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3300*t = 3314*t + 42 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15697, 31390, 47073, 62740, 78385, 94002, 109585, 125128?\n\"Answer: -y**3 + y**2 + 15697*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 99 = 5*t. Let d be (2290\/(-116))\/(55\/t + 3). Let p = d - -79. Is p < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8035 = -11648. Calculate the greatest common factor of 81 and s.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -699295*f**2*q**2 - 16156*f**2*q - f**2 + 5*f + 2*q - 1 wrt q?\nAnswer: -1398590*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4 + (sqrt(648)*2 - sqrt(648)))**2 + 5).\nAnswer: -720*sqrt(2) + 3345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1796 divided by 4.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 17*t**2 - 8*t - 130. Determine l(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4628 is divided by 133.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7654 - 6371 = -33*c. What is the lowest common multiple of 8 and c?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28238 + 141196\/5. Find m, given that 8\/5*m**2 + 13\/5*m + 1\/5*m**3 + q = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + b = 25 - 5, -w + 24 = 5*b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*y + 7 + 16 = 0, 5*r + 2*y - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366496 is divided by 4568.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14396695853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 74?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-420)\/(-2880)*(-2)\/(-7). Let f(x) be the first derivative of -h*x**4 + 1\/12*x**2 + 1\/9*x**3 - 1\/3*x - 6. Determine j so that f(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-290)\/(-56) + 0 - (-3)\/4 and -41\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 77 = 19. Suppose -2*m + 53 = 5*y, m - p = -3*y - 3*m. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861698555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42408 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 54*q + 5 - 17*q to j*q + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + -1.1. Suppose 0 = -2*x + 3*m + 4, -4*x = 2*m - 27 + 3. Which is the third biggest value? (a) 2 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 10*b - 1. Let k be (-2)\/(-17) - (-747)\/153. Let c = 21 - 16. Suppose s = k*t + 45, 0*s = t - s + c. What is x(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36.5, -27, 4, -0.099, 0.2 in decreasing order.\nAnswer: 4, 0.2, -0.099, -27, -36.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -2*f - 18. Let g = -46 - f. Suppose -2*v - 66 = 5*l, -7 = g*v + 5. Which is the second smallest value? (a) -2 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose -9 = h*r - 79. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*d\/(d**17*d))**(20\/11) assuming d is positive.\nAnswer: d**(-240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.1379 meters to nanometers.\nAnswer: 639137900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxcif. What is prob of picking 1 i and 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a + 45. Let o be k(-17). Let r = o + -243. What is the least common multiple of (10\/(-3))\/(2\/(-12)) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.241596 to 3 decimal places.\nAnswer: 0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = -0*q. Let v = 0.3 - 1.3. Let c = 131 - 1181\/9. Put v, c, q in descending order.\nAnswer: q, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**2 + 9*v**2)*(336 + 860*v**2 - 336).\nAnswer: 6020*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4879 = -2115*z + 2122*z. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2532\/(-705) - 10\/(-25). Is i at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225368152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiu when three letters picked without replacement from uiuiu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 2*p - 23. Let d be h(4). Sort d, -1, -12, 0.5 in decreasing order.\nAnswer: d, 0.5, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*l - 1. Suppose 188*g = 379*g - 186*g + 45. What is the units digit of l\/(g\/282) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 9. Solve 11*k = o*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, j: 1, b: 5, m: 3, y: 4, r: 3}. What is prob of picking 1 b, 1 r, 1 y, and 1 w?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -359602, -719204, -1078806?\n\"Answer: -359602*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1427522\/624547 - -2\/89221. Factor -w - 4\/7*b + 2\/7*b**2.\nAnswer: 2*(b - 4)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdd when three letters picked without replacement from bdbbbbbbdbbbbbbbbb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 288?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -31*n. Let f(i) = -165940*i + 7. What is h(f(g))?\nAnswer: 5144140*g - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 5) to base 3\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-1641*m - 1165*m + 501*m)*(m + 2 - 2) + 4*m**2 - 3*m**2 - 2*m**2 - 1.\nAnswer: 4609*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/8 - 1)*6. Suppose 4*l = 0, -r + 0*l = -s*l - 5. Suppose 5*f = -20, 2*x + 0*f = -r*f - 10. What is the remainder when 9 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265209059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 1151693947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/110 - 15*k**4\/22 - 125*k**3\/11 - 875*k**2\/11 - 583*k. Factor f(h).\nAnswer: -2*(h + 5)**2*(h + 35)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 2*c**2 + 0*c**2 + c**2 - c**2 + 2*c**2 + (0 + 0 - 2*c)*(3982*c + 10585 - 10585).\nAnswer: -7961*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f + 39. Let v be n(-4). Let a(x) = -x**3 + 16*x**2 - 29. Is a(v) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23875\/981 + -4\/981. What is the common denominator of (2 + -3)\/5*-47 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 3\/(6\/4). Let c = -26\/2781 + 1880\/2781. What is the nearest to c in 54, -4\/9, q?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16086 + 16133. Which is the biggest value? (a) -5 (b) o (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104810 and 17860?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5797, 11579, 17361, 23143?\n\"Answer: 5782*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0454, -412, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5 + 6 + 18 + 25 + 2*m. Let p be i(13). Suppose -4*t + 74 = -p. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**17\/y)\/(y*y*y\/(y*y**(2\/17))*y*y)*y**30\/((y\/((y\/(y*y\/(y\/y**25)*y))\/y))\/y) assuming y is positive.\nAnswer: y**(274\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 157. What is the greatest common factor of k and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(-30\/13)\/(x\/(x**0\/x)*x)**(-18) assuming x is positive.\nAnswer: x**(642\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1268443 divided by 3\nAnswer: 1268443\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*z, 4*z + 27 + 15 = -5*l. Let y = -9 - l. Let p = -15729\/6290 - -2\/3145. Which is the second biggest value? (a) 0.5 (b) y (c) p (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**2 + 127*f - 1. Give j(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1210 and 121\/20.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/36*3*(-113 - -8).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2163 is divided by 281?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 2*o - 13. Let j(p) be the second derivative of p**4\/6 - p**3\/6 - 3*p**2 + 45*p - 42. Calculate -3*h(u) + 7*j(u).\nAnswer: 2*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 25*s + 14. Determine f(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -508? (a) -6\/5 (b) 17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*v + 179*v - 56*v**2 + 4*v**5 - 321*v - 14*v**6 wrt v.\nAnswer: -1680*v**3 + 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose -2*o - 3 = -9, -2 = 2*i - 2*o. Suppose -i*z = -z + 1. What is the nearest to z in t, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -2, 2\/17, -0.01.\nAnswer: -2, -0.01, 2\/17, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 16720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*z - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)*-1*-4 - (sqrt(21) + -5*sqrt(189))*3)\/((3*-3*sqrt(84))\/(sqrt(192)*2)))**2.\nAnswer: 30976\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 37076*o**3 + 182 + 37074*o**3.\nAnswer: -2*o**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.1 (c) 1976 (d) -3\/11 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8400 + -50383\/6. Let s(y) be the third derivative of -22*y**2 + 0 + 1\/3*y**4 + 0*y + r*y**3. What is the derivative of s(i) wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31250 and 20?\nAnswer: 62500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (6\/8)\/(3\/8). Solve z = 2*l - 3 + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -11*t**5\/60 - t**4\/24 - t**3\/3 - 219*t**2 + 2. What is q(2)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 p, and 1 l when three letters picked without replacement from gcnlggnggp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30785 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -27 (b) 11 (c) -3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -121. Suppose -d*g + 2986599 = 4*w - 1413389, g + 2*w = 1099994. What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - d**3 + 1 - 193*d**2 + 219*d**2 in the form z*d + i + c*d**2 + j*d**3 and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34+0.208\nAnswer: 34.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 45\/2. Let y = 3\/32 - -37\/288. Let k = -12587 - -12592. Which is the fourth biggest value? (a) k (b) y (c) 0.06 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + s**2 + 4*s - 2. Let d(l) = -l**3 + l**2 + 5*l - 3. Give 4*d(i) - 5*z(i).\nAnswer: 6*i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6378, 6199, 6020, 5841, 5662, 5483?\n\"Answer: -179*w + 6557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1532487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 9. Let j = -1.9 + -2.1. Let m = 1.275 - -1.725. Which is the closest to 0.2? (a) i (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2*1)\/((68\/(-32))\/17) and (-2)\/5 + 186\/15?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 + 3 - 3 - 1)*(4 - 13 - 3)*(-o - 3*o + 2*o)*(-2 + 2 + 1) + (o + 3*o - 3*o)*(o**2 + 3*o**2 - 3*o**2).\nAnswer: -215*o**3 - 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -4. Let l = -11 + p. Let z = 1 - -4. Which is the nearest to 0? (a) l (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 + 61 - -75 - (-30 + 1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 10. Let m(k) = -11*k**2 - 50. Let a(t) = -5*c(t) - m(t). Let q(i) = i - 10. Let o(d) = -11. Let p(v) = 5*o(v) - 6*q(v). Determine a(p(h)).\nAnswer: 36*h**2 - 60*h + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/30? (a) 0.1 (b) 109.8 (c) -0.043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98535 is divided by 347.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 5\/(-2))*0. Suppose a = 2*y - y - 20. What is the lowest common multiple of y and (9\/(-12))\/(1\/(-8))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(-46)*(-24 - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:27 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*j + 16 = 0, -5*b - 5*j - 12 - 8 = 0. Let m(y) = -4*y + 22. Let q(p) = p - 7. Let x(h) = -2*m(h) - 7*q(h). What is x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -8. Let a = -1.46 + 1.4. What is the biggest value in a, -1\/8, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-18) + 2\/9. Let x = 277 - 151. Let z = 127.2 - x. What is the third biggest value in z, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*l + 1000 = 1002, -7*l = -4*s - 21. Let x(u) = 4*u**3 - 5*u**2 + 5*u - 85. Let o(d) = 6*d**3 - 7*d**2 + 7*d - 127. Determine s*x(k) + 5*o(k).\nAnswer: 2*k**3 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13837650*u + 1 + 2*u**2 + 13837650*u - 1.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipk when three letters picked without replacement from {b: 1, i: 1, f: 2, k: 1, s: 2, p: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbf when three letters picked without replacement from {p: 1, q: 2, o: 1, f: 1, g: 2, b: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108613789 is divided by 4980.\nAnswer: 4969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(4\/15)\/((-12)\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k - 3. Let j be p(-2). Suppose j - 52 = -h. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + d + 5 = 0, 0 + 19 = -3*l + 5*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 14*r + 4*r in the form y*r + j and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**7\/840 - 3*w**6\/80 - 97*w**5\/240 - 3*w**4\/2 - 8*w**3\/3 + 7*w**2. Let l(z) = 0. Calculate z.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 92*y + 46. What is b(19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9163570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipipipiiprkpbprp. Give prob of picking 2 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(4 - (-16)\/(-2)). Suppose 30*h + 856 = x*h. Let v = -3485\/8 + h. Calculate the common denominator of v and -83\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-15)*(-12)\/8 - 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) -0.1 (c) 0 (d) 22\/9 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551 divided by 287904.\nAnswer: -551\/287904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201570.\nAnswer: 2, 5, 120157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uub when three letters picked without replacement from {u: 2, y: 1, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000097549 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-4)*2\/3. Let t = 2.6 + -7. Let z = t + -0.6. What is the third biggest value in -0.3, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 18190.\nAnswer: 90950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, 14, -64, -6.\nAnswer: -64, -6, 0.5, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 2190881?\nAnswer: -3\/2190881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5)*(-2 + 1)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p + 79. Determine w(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 4*j**2 - 12*j - 3. Let b be m(-7). Let r be (2\/8)\/((b\/(-24))\/(-11)). Let s(t) = 12*t**3 - t. Calculate s(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 + -461\/2. Calculate the common denominator of s and ((-40)\/28)\/((-8)\/22).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 841410011\/27 + -31177795. Let p = -14466 - l. Let w = p + 922\/297. What is the common denominator of w and 59\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -724695 times -0.5?\nAnswer: 362347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(0 + sqrt(1900) + sqrt(1900)))**2 + sqrt(38)\/sqrt(2) + 4 + 1 + 0.\nAnswer: sqrt(19) + 273605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 138.6. Let o = i - -3.6. Let y = o + -11. What is the smallest value in 1, y, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 3*d**2 + 3*d**2 + 3*d - 15*d.\nAnswer: 5*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/23767 or 35.43?\nAnswer: 35.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g**4 + 0*g)*(39 + 68 - 17 + 2*g).\nAnswer: 4*g**5 + 180*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 10.85. Let k = n - -0.06. Let i = k + -0.01. Which is the closest to 1? (a) i (b) -0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -4\/179227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-1 + -2 - 0))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - 1) + 1 + 13 + -19 + 2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 829 - 301. Suppose 20*u - 8*u - k = 0. What is the lowest common multiple of 10 and u?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*w = -26, -4*v - 2*w - 2 = -9*v. Let u(m) = -2*m + m**3 - m**2 + 3 + v*m. Is u(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*j + 6*q - 2*q, -4*j = 5*q + 17. Let h(z) = -9*z + 20. Let w be h(j). Solve g + w*p + 13 = -2*g, g + 3*p = -2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. Let l = z - 0.9. Which is the nearest to l? (a) 2\/11 (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -13. Let c = 0 - x. Suppose 0 = c*r - 5 + 1. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtv when three letters picked without replacement from {v: 4, p: 1, t: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Suppose -3 = -h + 2. Calculate the lowest common multiple of m and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42524, 85037, 127540, 170027, 212492, 254929?\n\"Answer: -i**3 + i**2 + 42517*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 22 = 5*v - c, 3*c = v + 3. Let n be 109\/3 - (-2)\/v. What is the highest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 4*r**4 + 0*r**4 + (-r - r**4 + r)*(-26 + 6 - 11).\nAnswer: 33*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202.8, -40, 0.4 in descending order.\nAnswer: 0.4, -40, -202.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 15 = -5*p - 3*r, -r = 0. Let x be p\/(3\/2) + 1. Solve -4*t = x - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waraa. What is prob of sequence rw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = u - 13, 1 = u - 3199*f + 3198*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266 + 139. Let j = h - -239. Calculate the greatest common factor of j and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/4*72\/(-30). Let a(f) = 12*f**2 - f + 6. Let p(t) = -35*t**2 + 4*t - 17. Let x(s) = g*p(s) + 17*a(s). What is the second derivative of x(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -878*j. Let u(c) be the second derivative of -2*c**3\/3 + 6*c - 862. Give u(n(i)).\nAnswer: 3512*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23386.239ms to days.\nAnswer: 0.0002706740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/4)*b*b)\/b*b)**23*b**3*b*b**(2\/7))\/((b**7*b**(-1\/4))\/(b**(-2))**(-10)) assuming b is positive.\nAnswer: b**(809\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouuuuuuouou. What is prob of sequence ou?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11759 - -11798. What is the closest to 0.3 in 2\/25, 3\/5, q?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 + 95 = -4*i. Let t = i + 165. Let w = t - 85. Solve -2*b - 6 = -w*m, b + b + 6 = m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1171 + -1170.99294. What is u rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -130 and -1\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27382 is divided by 1378.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147.928 - -1710897484.\nAnswer: 1710897631.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*b = 695*b - 1933 - 827 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 129880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20*5)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2711776998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 105\/14 + (-2)\/4. Determine o, given that 2*o**5 - 4*o**3 + f*o + 4*o**2 + 6 - 2*o**4 - 8 - 5*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 79, 156, 233, 310?\n\"Answer: 77*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 11) in base 3?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -11)*27\/27. What is the common denominator of (m - -8) + (-82)\/(-20) and 59\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let z(u) be the third derivative of u**4\/4 + u**3\/3 - 85*u**2. Give g(z(r)).\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/6 + 229*b\/3 - 4780\/3 = 0.\nAnswer: -478, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*m**2 - 4341*m + 12578.\nAnswer: (m - 331)*(13*m - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -88579265 - 0.025769?\nAnswer: -88579265.025769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 51 (b) 125 (c) -3\/2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 18584 = 4*v, -112*v - 4*t = -117*v + 23167. Does 155 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 4*z + 18, 2*l - 2*z + 6*z + 16 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208402001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.01. Let s = v + -1.89. What is the biggest value in 6, s, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 13*u - 20. Let y be i(-10). Let w be (y\/(-8))\/(17\/(-6) - -2). What is the closest to -0.3 in -0.5, -1, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1574.6 to the nearest 10.\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5 - 337 = 0. Let q = a - -85. Suppose -5*l - 11 = -h, -q*l - 5 = 3*l. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + i - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 66701*q**2 + 6*q - 9 - 66689*q**2 - 18. Let g(v) = v**2. Let j(t) = 44*g(t) - 4*n(t). Factor j(o).\nAnswer: -4*(o - 3)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -489?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 5*m + 3*v, -m + 5*v = 4*m - 135. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11706, -19, 1 in decreasing order.\nAnswer: 1, -19, -11706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -8342?\nAnswer: -8342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (114\/14)\/((-34)\/(-238)). Let w = p - -236. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -715, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002960664 to 7 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. What is the units digit of (-24)\/(-4) + n\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5066135 to the nearest integer?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) - sqrt(220)*1*-4)\/(-2*(sqrt(1331) + (sqrt(1331)*-1 - sqrt(1331)))).\nAnswer: 5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.44 less than -6?\nAnswer: -9.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 111676021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2960923\/11 + 269175. Find m, given that -b*m**4 + 0 + 0*m**2 + 0*m**3 + 2\/11*m**5 + 0*m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.187845 to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.104498 to 2 dps.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**2 + 880*p - 879 = 0?\nAnswer: 1, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208*g*t**2*u + 2*g*t*u - 83704*g*u + 21*t**2*u with respect to t.\nAnswer: 416*g*t*u + 2*g*u + 42*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**5 + 2*y**4 + 356*y**3 + 8*y**2 + 70*y - 12?\nAnswer: 60*y**2 + 48*y + 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12378.\nAnswer: 2, 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 2. Let t(l) = 30*l**2 - 21. Calculate -42*i(q) + 4*t(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42093, 42099, 42115, 42147, 42201?\n\"Answer: v**3 - v**2 + 2*v + 42091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2\/11)*(o**(-18\/11)*o)\/o)**(1\/8) assuming o is positive.\nAnswer: o**(3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3405 and 2\/3.\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-1)\/((16\/(-6))\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2.4. Let l = m + -0.28. Let z = l + -0.016. What is z rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, -619, -2042, -4035, -6598, -9731?\nAnswer: -13434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*q + 54 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:52 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22683301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 1. Let p be i(3). Let g = -20064 - -20067. Solve -18 = 2*z + 4*f, p = -g*f + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*d - 9284 - 34020, -a + 10788 = 4*d. Does 94 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13292, -13290, -13288?\nAnswer: -13286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21798 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1065703, -2131408, -3197113, -4262818, -5328523?\nAnswer: -6394228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + u**4 + u**4)*(4 + 2*u - 4) + 494*u**5 - 20*u**5 + 231*u**5 - u**3 + 2*u**5 + u**3.\nAnswer: 711*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2493 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/9 - 256*l\/9 - 8192\/9 = 0. What is l?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-4 + -4 - -8)) + (20 - (1 - -7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564085.\nAnswer: 5, 7, 79, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 11. Suppose -1 = -i + 5*f - n, 3*i = -2*f + 18. Suppose x - i*x = -12. Solve -x = -p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -322, -630, -920, -1192, -1446, -1682, -1900?\n\"Answer: 9*f**2 - 335*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1*32\/240?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrriqrrrrriiq. What is prob of picking 2 r?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/77953092 and -149\/18.\nAnswer: 233859276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13263152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 - (-152 + 163) - 6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -929*y**2 - 924*y**2 + 1865*y**2. Let r(u) = 70*u. Give r(c(f)).\nAnswer: 840*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4652, 3, 2 in descending order.\nAnswer: 3, 2, -4652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 5:04 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 1, o: 1, x: 2}. What is prob of sequence mo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -6, -1 in increasing order.\nAnswer: -6, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 347, 12, -1\/2, -73, -3, 2\/5 in increasing order.\nAnswer: -73, -3, -1\/2, 2\/5, 12, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 261939463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-908)\/(-36) - (-2)\/(-9). Suppose -j - 5*u + y = 0, -3*u + 81 = 2*j + 31. Is 1 - j\/(-1 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540570749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77718841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z + 0*z)*(2 - 5 + 2) + (9 + 14*z - 9)*(-1 - 1 + 3)*(0 + 5 - 4)*(4 - 7 - 2) to the form i + v*z and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -443261 less than -442708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + 3. Suppose 6*l - 138 = -m. Calculate the remainder when l is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k + 99*k = -255. Let w = k + -29. Calculate the remainder when 81 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204 + -200. Solve 3*j = -7 - 5, -n = 4*s - 4*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1\/6, -2, 1, 4 in increasing order.\nAnswer: -13, -2, -1\/6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 500757157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*l - 2*r - 43, -r - 94 = -4*l. Calculate the highest common divisor of l and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 24*i - 64. Is x(-13) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scssswsswwcwysjs. Give prob of picking 1 y and 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -271*b**3 - 150 + 155*b + 112*b**3 - 50*b**2 + 164*b**3.\nAnswer: 5*(b - 5)*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 2, s: 1, j: 2, u: 1, v: 1}. What is prob of picking 1 s, 1 u, and 1 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133101 - -201?\nAnswer: -132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 10707?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 56\/6 + 4\/6. Suppose 5*r - 15 = -0*r. Suppose -3*w = 5*g - 22, -r*w + 11 = -2*g + 3. Solve 0 = 3*i - p + a, 0*p + 30 = -4*i - g*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 804192722 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3839628 - 1796886. Let t = u + -2042757.99981. Let r = 16 + t. Round r to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 12) in base 8?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1. Let s(o) = -2*o - 7. Let k(y) = -3*h(y) - s(y). Suppose -6 = -r - 5*c, 4*r - 5*c + 14 = 3*r. Determine k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241360141455542 - 241360205695417.9000109. Let u = 64239882 + t. Let r = -6.1 + u. Round r to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0 + 0 + 21*z**2 + 0 + z. Let r(n) = n**2 + 6*n - 258. What is the lowest common multiple of r(-20) and o(-2)?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 44*d + 22. Calculate the remainder when 3684 is divided by b(-39).\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:02 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 5*b + 4. Let s be k(6). Let i = s + 3. Let j = 82 + -58. Calculate the remainder when j is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610, -2490, -5632, -10036, -15702, -22630?\nAnswer: -30820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -3\/8, 1\/4, -1, 0.2, -0.3 in descending order.\nAnswer: 41, 1\/4, 0.2, -0.3, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11110, 79439, 264892, 626029, 1221410, 2109595, 3349144, 4998617?\nAnswer: 7116574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -76\/103977 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*s = 0, 2*u + 19*s = 22*s + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4.96649 + 2\nAnswer: 6.96649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 248387 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**2 - 7*s - 2*s**4 + 5*s + s**2 + 2 + 0 - 2*s**3 as a*s**3 + j*s**2 + l*s + y*s**4 + k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 72*l**3 + 6*l**2 - 14*l + 4. What is the hundreds digit of q(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179836537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 2*t + (1 + 1 - 4)*(2 - 2 + 2*t))*(-6 - 5 - 6).\nAnswer: 51*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 7*j - 7. What is the smallest common multiple of 3 and z(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/(12\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/73 and -65\/61382.\nAnswer: 4480886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1 = 3. Let g be 1\/(-3) - (-13)\/3. Suppose -2*k + 24 = -g*c, 5*k - 2*c - 2*c = 36. Sort b, 5, k.\nAnswer: b, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -21*a**3 - 4*a - 4. Let q(y) = 252*y**3 + 49*y + 49. Give -4*q(l) - 49*t(l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1 + sqrt(7) - sqrt(7))*-5 - (sqrt(7) - sqrt(28)\/(sqrt(12)\/sqrt(3))) - (sqrt(7) - sqrt(252) - (sqrt(567) + 2 + sqrt(7))))*5)**2.\nAnswer: 84000*sqrt(7) + 649600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372793735.\nAnswer: 5, 521, 143107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1507\/1370)\/((-2)\/(-3140)). Which is greater: b or -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 644*j**2 - 142*j + 15. Is g(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - (2 + -2)) + (94 - -11). Is 16 a factor of (-252)\/n*(1 + -321)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 - (17 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.309\nAnswer: 0.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4\/9 (b) -8.9 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb0453 (base 12) to base 10.\nAnswer: -2965887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 3*f + 54. Suppose 63 = 5*n + 16*n. Suppose -9 - f = -n*j. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2377, -5069, -7761, -10453, -13145?\n\"Answer: -2692*m + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689216 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18*u. Let n be x(1). Let c = n - -275. What are the prime factors of c?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0, 1, 1435 in decreasing order.\nAnswer: 1435, 1, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 50. Let t be (-1*1)\/(-2) - n\/62. Let c be ((-10)\/6)\/(2\/6). Put -4, t, c in decreasing order.\nAnswer: t, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 903207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*v + 18 = 0, 5*o + v - 25 = -0*o. Suppose -3*g + 4*g - o*i = 8, -5*g + 4*i = -8. Which is smaller: 18\/17 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11922.\nAnswer: 2, 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1027001 divided by -28\nAnswer: -1027001\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 22*d**2 - 30*d - 54.\nAnswer: -2*(d - 9)*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 243047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4. Let y = f + -1. Suppose m = -y*m + 19. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3738\/(-273) + ((-5)\/(-15))\/(6\/252)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -13829*h**3 + 16*h**2 + 4*h + 9. Let m = 760 - 751. Let r be o(m). What is r rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(600) - (sqrt(600)*-2 + sqrt(600))))\/sqrt(12))\/((sqrt(1210) + sqrt(1210)*-2)*4).\nAnswer: 3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 3*p + 56. Let m = p + -16. What is the first derivative of 7 + 13 - m*r**2 - 19 wrt r?\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55656190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*2)\/sqrt(2)*6.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*(h*h**(-15\/4)\/h*h)\/h)\/(h**6*h))\/((h\/(h**(-25\/6)*h))\/h**(-7)) assuming h is positive.\nAnswer: h**(-227\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, c: 3, n: 8}. Give prob of sequence nnf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*b - 11 = -6*r, 3*r - 11 = -b. Find the third derivative of 9*f**3 + 3*f**3 + 20*f**2 + 4*f**r wrt f.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -865150, -8.\nAnswer: -865150, -8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6451579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82746032 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80816297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**3 + k**2 + k - 1. Let f be h(1). Suppose -f*d = -d - 16. Solve -d*p + p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-20) + 2373997\/1570. What is the greatest common divisor of 162 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/9 + 16*r**2\/3 + 34*r + 260\/9 = 0.\nAnswer: -13, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 13*d - 17. Let v(c) = -7*c + 9. Let i(r) = 6*h(r) + 11*v(r). Let j be i(8). Calculate the greatest common factor of j and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-4) + 9\/(-15)*(15 - 10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 5*p + 239718 + 52581, 3*l - 4*p - 62656 = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -344, -351, -360, -371, -384, -399?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211*h**3 + 244*h.\nAnswer: 1266*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 921 - 1719 = 0. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/73, 278\/313, 0.06 in descending order.\nAnswer: 278\/313, 0.06, 1\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i**2 - 21*i. Suppose -16 = -9*x + 5*x. Let y(b) be the first derivative of -b**3 - 2*b**2 - 4. Give x*r(n) - 21*y(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 2*g**3 + 2*g**2 - 3*g - g**3 - 2*g**3 to s*g**2 + j*g**3 + d + p*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 457002 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 5. Suppose -p + 4 = -m. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472633144 to the nearest integer?\nAnswer: 21740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 = 0, -3666 = -59*g + 62*g - 5*h. Let m = 1217 + g. Let j(x) be the first derivative of -x**3\/3 - 9*x + 1. Determine j(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -16) + (-10 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 11*b - 24. Let u be k(8). Let f be (-57)\/9 - (u + 2\/3). Let x be ((-3)\/35)\/((-28)\/f - 7). Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4999285760?\nAnswer: 2, 5, 7, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5915203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -63.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*o**2 - 7*o**3 + o**3 + 0*o**2 - 25*o**2 - 6*o - 7*o**2 as k*o + b*o**3 + z + p*o**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12577498, -12577504, -12577514, -12577528, -12577546, -12577568?\n\"Answer: -2*z**2 - 12577496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/7 - 57*y**3\/7 - 781*y**2\/7 + 957*y\/7 + 1682\/7.\nAnswer: -(y - 2)*(y + 1)*(y + 29)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 280*h + 7333. Determine c(-28).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27002 (base 8) in base 14?\nAnswer: -4414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29283 + 29282.975869. What is k rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162387075.\nAnswer: 3, 5, 499, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/((-15)\/4). Let f be (16\/(-3) - -4)*(-15)\/60. What is the nearest to f in 2, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 113 + 2 - (-3 - -1). Let v = 22 + -24. Find the common denominator of (-4 - v)*z\/(-28) and -139\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 28930 - 28990 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -20 - -5 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*v = 82*v - 38. Solve -4*l + k - 11 = 0, 5*l = 2*k - 6*k - v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*m**2 - m - 163*m**2 + 72*m**2 + (-3 - 3 - 4)*(m**2 - 4*m**2 + m**2))*(3*m**2 - 2*m**2 + 0*m**2) as c*m + b*m**2 + k*m**3 + i*m**4 + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*-1*(-46)\/(-92)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 21. Let x be (-4)\/l + 200\/210. Factor x*v**2 - 2\/3*v**3 - 2\/3*v**4 + 0 + 2\/3*v.\nAnswer: -2*v*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15726, -16019, -16322, -16635, -16958, -17291?\n\"Answer: -5*h**2 - 278*h - 15443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-4 - sqrt(325) - sqrt(13)) + 1)*-5.\nAnswer: -5 + 130*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 101010100000011011 (base 2) to base 13\nAnswer: 6132b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4019, 31809, 107273, 254249, 496575, 858089?\n\"Answer: 3973*k**3 - k**2 - 18*k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - -50. Suppose -4*w + f = -48. Suppose -3*h - w = -103. Calculate the highest common divisor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 28. Suppose -4*t + 280 = w*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 4*o + 4. Let x be f(3). Suppose 0 = -8*h + 5*h + 84. Let j = -32 + h. Sort j, 5, x.\nAnswer: j, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/22 - 18\/11. Put 0.5, -4, 0.05, x in descending order.\nAnswer: 0.5, 0.05, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x. Let m(j) = 2*j**2 - 2. Let c(a) = -4*a**2 + 3. Let v(q) = -2*c(q) - 3*m(q). Calculate u(v(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 - (2146050\/627)\/(-50)) + 81\/209.\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2046335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmssmmsmummmmmmm. What is prob of sequence ms?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8023.027 to the nearest 10.\nAnswer: -8020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 7*i + 1240. Give z(36).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11+-12.5117\nAnswer: -23.5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.09, -1, -2\/5, -49?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 23.466933303\nAnswer: 34.466933303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-291)\/4074 - (4\/18 - (3 - (-123)\/(-54))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22774 and 472?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 340.1286 * 5\nAnswer: 1700.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/20 + m**4\/2 - m**3\/3 - 9*m**2\/2 - m. Let u be t(-6). Suppose u*s = 2*s. Sort 2, 4, s.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10083882000 and -1.4.\nAnswer: -10083882001.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -853\/2, -0.2, 962?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 0, 0 = 4*q + 3*y - 6*y + 114. Suppose k = 4*s - 41, -5*s + 11*s = -k - 1. Which is greater: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*j + 3 + (-16*j - 7*j + 6*j)*(-1 - 5 - 8).\nAnswer: 240*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-4*1*(-1)\/(-2). What is the closest to y in 4\/5, -0.5, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -134\/3*l**3 - 16\/3 - 40\/3*l**4 + 88\/3*l - 20*l**2 = 0.\nAnswer: -2, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*p + 62 = -725, -316 = -2*r + p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -468, 1\/6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10517, 21036, 31555, 42074, 52593, 63112?\n\"Answer: 10519*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 1074.\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6125\/(-50)*11\/(-77)*2\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20 + 0 - 21 - i + 6. Let j = -2 - 7. What is the tens digit of f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48)\/(-6) + 427 + 2.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -0.051 (c) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, t: 2, m: 3, g: 3}. What is prob of picking 2 g and 1 c?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14126843 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -359*x + 384*x - 200 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*u - 0*m - 7631, 0 = -5*u - 5*m + 9545. Let b = u + -1275. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5350325 is divided by 591.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2032432 (base 5) to base 7.\nAnswer: 166434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5. Let w be l(4). Calculate the greatest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*j - 8*y + 5 = 60*j, 1 = 5*j - 4*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8096 and 15456.\nAnswer: 170016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:54 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 5. Let i be f(-3). Is -4 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 13. Calculate j(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 5*i**4\/16 + 5*i**3\/6 + 5*i**2\/8 + 20. Factor n(v).\nAnswer: 5*v*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.1, -22\/9, -672 in decreasing order.\nAnswer: 2\/9, 0.1, -22\/9, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from pvdnppdppppqvvvvppvm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4096, -3797, -3308, -2629, -1760, -701, 548?\n\"Answer: 95*h**2 + 14*h - 4205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 5*j + 5. Let h(g) = 3*g**2 + 9*g + 9. Let l(c) = 3*h(c) - 5*p(c). Suppose 4 = v - 0*v. What is l(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 22*r**2 - 28*r - 44. Let q = -67 + 86. What are the prime factors of p(q)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13762?\nAnswer: 2, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -7*g**3\/6 - 27*g**2\/2 - 22*g. Let o be x(-9). What is the greatest common factor of 54 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -30. Suppose -2*d + y*r + 26 = 0, 0*d + 59 = 5*d + r. What is the second derivative of 10*k + d*k - 19*k + 11*k**4 wrt k?\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2581 - -2577. Which is the second smallest value? (a) 3 (b) v (c) -0.5 (d) 0.5 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -14 - (-1 - 69)) + (-555 - -542).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 28491 - 28419 = 0 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 304.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/((-124)\/93) - (-18)\/60. Solve -26*m + 211 - 29 = y for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5518 is divided by 64?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*u + 0*u = -207, 2*d + 5*u - 87 = 0. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 84300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*j + j**3 - 2*j**4 + j + 0*j**3 + 8*j**2 - 9*j**2 as w*j**2 + m*j**3 + y + u*j**4 + h*j and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -s - 154, -3*s - 2*l - 1027 = -7*s - 961 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 5*f - 9. Let l be i(4). Which is the closest to 2? (a) 0.1 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 3*n = 7182. What is the highest common divisor of 19 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1*-2 - sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3) + 1))**2*3 + ((sqrt(102)\/sqrt(3) - sqrt(34) - sqrt(34))*-2)\/(sqrt(18)*1).\nAnswer: 20*sqrt(17)\/3 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 + (-6)\/24. Suppose 11 + 10 = 3*c - 2*p, x = -5*c - 5*p + 10. Put -0.1, c, -2\/3 in descending order.\nAnswer: c, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-3 + sqrt(1216)).\nAnswer: -17 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 7*b**3 - 1 - 5*b + 7*b**3 + 3*b as a*b + m*b**3 + f + v*b**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 - 7 = 0, -2*i - 34 = -4*t. Let a(g) be the second derivative of -3\/2*g**2 + 2\/3*g**3 + 0 - 1\/12*g**4 + t*g. Determine a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2*c**3\/3 - 9*c**2\/2 + 3*c - 437. Determine i(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296.5045948 + 323.504601. Let z = b + -27. Round z to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.359 times -1009536?\nAnswer: -362423.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 17620.\nAnswer: 35240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1151*s**3 - 174*s**2 + 84*s**2 + 89*s**2 as a*s**3 + u*s + p*s**2 + y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -105*h**2 + 0*h - 1\/60*h**5 + 3\/4*h**4 + 19\/6*h**3 + 0. Factor j(f).\nAnswer: -(f - 19)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -66, -125, -196, -273, -350, -421?\n\"Answer: y**3 - 15*y**2 - 3*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -318100 + 0?\nAnswer: -318100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 29*k**3 + 51*k**2 + 5*k + 5. Let d(h) = 44*h**3 + 77*h**2 + 8*h + 8. Let z(v) = -5*d(v) + 8*x(v). Find the third derivative of z(i) wrt i.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1262325, 1262327, 1262329, 1262331, 1262333?\nAnswer: 1262335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 113500 rounded to the nearest 1000?\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 2*l)*(13*l**4 + 4*l**4 + 3*l**4).\nAnswer: -40*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5586 times 184321?\nAnswer: -102961.7106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2952099 and 61101.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4622799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 1:41 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**2 - 15*h - 163. Calculate u(-8).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64298985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1 - -7. What is the closest to x in -0.2, -2\/23, -5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61, 115, 157, 181, 181, 151, 85?\n\"Answer: -b**3 + 61*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 9*q**5\/20 - q**4\/12 - 3*q**2\/2 - 4*q. Let x(t) = -5*t**3 + t**2 + 2. Calculate 3*b(u) + 5*x(u).\nAnswer: 2*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 6*h**2 + 8*h - 12. Give q(7).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 10:32 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -5*z**3 + 91. Let s(f) be the first derivative of 2*f**2 - 4. Give s(c(i)).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 - 45\/(-20). Suppose 5*y - 2*l = 54, -2*l - 2 = x. Let m = 13 - y. What is the remainder when 8 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -2.4. Let z = l + 1.3. Let v = -0.01 - 2.99. What is the biggest value in z, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5980*f**6 + f**4 + 2*f**3 - 2707*f**2 + 3 wrt f?\nAnswer: 717600*f**3 + 24*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o. Suppose 2*w - 3*w - 4*x - 14 = o, -w - x = 2. Let h = -4 + 4. Solve h = w*p + 3 - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {u: 6, c: 1, x: 1, v: 3, g: 8}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = 21*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c + 28. Let k = c - -12. Suppose 3 = w - 4*n - 4, -27 = -2*w - k*n. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 2. Let t(o) = -o + 2 + 1 - 6. Let i = -204 - -146. Let w be i\/(-15) + -1 + (-6)\/(-45). Give w*g(c) + 2*t(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:17 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8090203 is divided by 8090107?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0*h**2 - 8 - 2*h - 5*h + h**2. Let q be v(9). What is the highest common factor of q and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {m: 4, e: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -316, -924, -2074, -3940, -6696, -10516, -15574?\nAnswer: -22044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -981 + 979. What is the third smallest value in h, 10\/13, 0.2, -4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -59, -115, -193, -299, -439?\n\"Answer: -t**3 - 2*t**2 - 27*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c**2 - 18*c**2 + 116*c**2)*(3*c + 0*c - 2*c)*(8*c + 0*c - 4*c).\nAnswer: 352*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/3, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 15226.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 258800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 218648\nAnswer: 1\/54662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*l - 18*l + 468525. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -16. Let m be ((-2)\/7)\/(1\/h). Suppose -m*r + 2 = -42. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 + i + 1. Let p(g) = -2*g**3 + 9*g**2 - 15*g + 45. Let s(n) = 4*j(n) - p(n). Is s(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 6*k - 4*k)*(-633*k - 26*k + 76*k) - 6*k**2 - k**2 - 4*k**2 to the form n*k**2 + y*k + g and give n.\nAnswer: -1177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 279 + 424 = 0. Suppose 124*u + 222 = 130*u. Calculate the remainder when u is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4192*g**4 - 4735*g.\nAnswer: -50304*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-48))\/((-2)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -2*i. Find the third derivative of 7*h**2 + 8*h**2 - 13*h**i + 3*h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403553 plus -963425?\nAnswer: -1366978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 3. Let d(j) = -j - 1. Let x(y) = -2*d(y) + k(y). Let i be x(-5). Suppose -5*t + 12 - 2 = 0. Sort i, 1, t in descending order.\nAnswer: i, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 43, -3, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let i be (20 - 10) + 5 + -1. Suppose -i*d + 10*d + 16 = 0. Solve w = -2*l + 4 + d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*r + 47, -4*r - 31 = -0*r + y. Let u be (4\/r)\/((-18)\/105). Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250059.72 + 8.294.\nAnswer: 250068.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 561517026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 13*p**2 - 4*p + 8. Let v be k(-5). Suppose -2*o + v = -4*h, 0 = -5*o - 2*h + 153 + 369. 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: Let z = -1451 - -1458. Solve 472 = -z*r + 521 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 14320\/58129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 17 + 9 + 10*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.065 - 55.065. Let t = w - -58. Is t at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 - 125. What is the third biggest value in 5, 0.05, r?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 65 + 2 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 957 - 959. Which is the closest to 1? (a) 2\/13 (b) -0.09 (c) p (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323724 (base 10) to base 13\nAnswer: b446b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.4, -6, 34.9 in descending order.\nAnswer: 34.9, -0.1, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from leel. Give prob of picking 1 e and 2 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g + 3*g. Let r = g + -4. Suppose 0 = w + r*w - 6. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 - 10*u + 24. Let r be i(7). Let a be (-2)\/(-4)*r + (-180)\/(-40). Let c be a\/4*(-3 + 119\/42). What is the smallest value in 4, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -33 (b) -273 (c) 3 (d) -4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 4 (b) -4\/3 (c) -0.9 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2343750*a - 1215*a**3 - 1164375*a**2 - 2529*a**3 + 46205*a**4 - 3 - 46208*a**4 + 3.\nAnswer: -3*a*(a - 2)*(a + 625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -638816044*w**3 - 65734135*w?\nAnswer: -3832896264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 4*o + o)*(4 - 2*o - 4)*(323 - 651 + 256) + o**2 - o**2 - 29*o**2 to g + k*o**2 + v*o and give k.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 3*z - 4*z + (-4 - 20 + 6)*(-5*z + 2*z + 2*z))*(-27*z + 12*z + 2 + 14*z - 2*z**2) to the form m + q*z**3 + u*z + j*z**2 and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3426 is divided by 810?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 12265204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*r - 940 = 2159 + 5305. Calculate the remainder when -17*(45\/(-3) + -3) is divided by r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v - 9 - 14 + 1 + 4*v**2. Let l(z) = -3*z**2 - 11*z + 21. Let m(b) = -2*j(b) - 3*l(b). Calculate the remainder when m(-16) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 0, -n = 4*n - 3*k - 211. What is the tens digit of (-69)\/(-4) - 11\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 124, 485, 1088, 1933?\n\"Answer: 121*r**2 - 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5119800 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 52. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2185*f**2 - 32*f - 12 wrt f?\nAnswer: -4370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4 = 4*x. Let c(y) = -50 + 28 + y + 23. Let v(i) = 2*i**2 + 2*i + 2. What is x*v(n) - 2*c(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 36 (b) -2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - q**2 + 4*q**2)*(-45 + 33 - q**3 + 25) - 67*q**5 + 406*q**5 + 53*q**5.\nAnswer: 390*q**5 + 26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -826.4579 - -0.130871.\nAnswer: -826.327029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3102304031 (base 5) in base 3?\nAnswer: 102211121211020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 4*p**3 + 6*p**2)*(-3*p + 4*p + 0*p) - 3*p**4 + p**4 + 0*p**4 - 13*p**4 + 9*p**4 + 6*p**4 - 2*p**3 - 15.\nAnswer: 4*p**4 - 2*p**3 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -963301, -1926951, -2890601?\n\"Answer: -963650*p + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*h**4*n - 58*h**4 - 5*h*n + 79*h + 1 wrt h.\nAnswer: -144*h**2*n - 696*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 4. Suppose 179*b = 183*b + 20. Let w = -251 + 255. Let i(v) = -3. Determine b*i(q) + w*n(q).\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**4 + 23*s**3 - 362*s**2 - 79*s + 195918 wrt s?\nAnswer: 8*s**3 + 69*s**2 - 724*s - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*30\/44 - 1300\/(-22)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20000111121 - 2?\nAnswer: -20000111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:47 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(3*(-3)\/(-27)). Let w = 7 - s. Suppose 2*q = -2*m - 2, -2*m + 2*q + 2 = m. Put 2, w, m in increasing order.\nAnswer: m, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3373*g - 42 = 3371*g + 3*o, 78 = 3*g + 3*o for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {a: 1, m: 2, d: 1, s: 2, p: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.33 - -0.07. What is the nearest to -10\/3 in p, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.441 (b) -3 (c) 1\/5 (d) 35\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14*l*l**5*l)\/((l*l\/(l*l**(-6\/13)\/l*l)*l)\/(((l\/l**(-5))\/l)\/l)) assuming l is positive.\nAnswer: l**(293\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569*s + 13 = 571*s - p, 3*s + p = 7. Solve -s*u - 5*j = -16, 0 = -5*j + 7*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 9*v**2 - 12*v - 10. Let c be u(7). Suppose c*n - 1 = -1. Suppose n = 9*p - 668 - 412. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199775104095142 - 4?\nAnswer: -199775104095146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 9*l - 437. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 + 2*j**2 - 194*j - 2. Let z(g) = -36*g**3 - 33*g**2 + 1359*g + 15. Let x(a) = 15*i(a) + 2*z(a). Suppose x(r) = 0. Calculate r.\nAnswer: -4, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169\/2*l**3 - 85*l - 56 + 59\/2*l**4 + 53\/2*l**2 + 1\/2*l**5 = 0.\nAnswer: -56, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1321 - 3*d + 1321.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -0*s - 3*s + m, -3*m = s - 20. Suppose -j + s = -22. Let g(i) = 13*i + 42. Let a be g(6). What is the greatest common factor of a and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose 0 = 4*y, 3*n - y + 5*y - 72 = j. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -g - g + n, 3*g + 3*n = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-55)\/(-66)*(5 - (-95)\/25) - 8. What is the closest to 15 in 10\/11, c, -10?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.7 - 37. Let d = z + -2.606. Let w = 0.0939928 - d. What is w rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u. Let f(k) = 1. Let p(r) = -r. Let j(b) = -8*b - 4. Let v(t) = j(t) - 10*p(t). Let s(h) = 4*f(h) + v(h). What is s(q(d))?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:50 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*80\/1008*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -4860 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 484812247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*x + 38*x - 13*x + 2*y + 2, x + 2*y = 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2813, 2470, 2127, 1784?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5046623545 - 5046623545 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 32*a**2 + 2*a - 2. Suppose -15*h + 12*h = 4*x - 56, -x = 2*h - 34. Calculate the lowest common multiple of v(2) and h.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -923*z**2 + 83063*z + 576. Determine s(90).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 147*c**3 + 6*c**2 + 6*c + 89. Let l(j) = -295*j**3 - 13*j**2 - 13*j - 180. Let b(u) = 13*h(u) + 6*l(u). Differentiate b(v) with respect to v.\nAnswer: 423*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -7*f**4\/2 + 10*f**3\/3 + 13*f**2\/2 + 3*f + 76. Is 16 a factor of q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u + 5. Let w(l) = l**2 - 3*l - 4. Suppose 80 = -24*h + 32. Let b(f) = h*x(f) - 3*w(f). Determine b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -411 + 412. Let o = -2 - -5. Let g be 9*((-2)\/o - -1). Solve q = v + g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1477 = b, 8133 = 4*b - 4*k + 2213. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*w - 53*w - 253*w**2.\nAnswer: -253*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**5 - 3*m**4 - 3*m**3 - m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427143 is divided by 106673.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/5 - 36*i\/5 + 76\/5.\nAnswer: -(i - 2)*(i + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-105)*30\/(-52)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 3*r = -168. Suppose 8*y - r*y = 0. What is the biggest value in y, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 times 0.5?\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -18. What is the second smallest value in 3, -0.1, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 11*g + 13. Determine x(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005499737096 to 7 dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 57*f - 454. Let j be o(8). Which is the smallest value? (a) 270 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 13*p + 11*p**2 + 0 + 5\/3*p**3. What is the units digit of j(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 49*u**2 - 42*u - 42. Let n(b) = b**2 - b - 1. Calculate d(l) - 42*n(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n - 12 = 3*z, 0 = -z - 5*n + 13. Is 5\/19 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Is 17 a factor of -17*2\/(-4)*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -85266 and 3082.77.\nAnswer: -82183.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5163 - 0.0748642\nAnswer: -5163.0748642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 15*b - 8)*(-2*b**2 + 0*b**2 + b**2).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -3*a**5\/20 + 17*a**4\/4 + 21*a**2\/2 + 216*a. Calculate the remainder when 36 + (-2 + 4 - 0) is divided by v(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 3. Let b(y) = -y**2 + 1. Let g be b(2). Let v be 2*g\/6 - 1. Calculate l(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 0*j + j)*(-6*j**2 + 4*j**2 + 9*j**2)*(5*j**2 - 2*j**2 - 2*j**2).\nAnswer: -28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 1\/6*o**4 - 1\/10*o**5 + 3*o + 0 + 0*o**3 + 0*o**2. What is the third derivative of h(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + v + 2, -568*x - 35 = -564*x - 5*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.028 + -0.028. Suppose -6*z + 2*n = -z + 23, -4*n = 5*z + 29. Let m be ((-4)\/(-10))\/((-1)\/z). Which is the closest to k? (a) 5 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 112. Let o(r) = -20*r - 110. Calculate a(o(h)).\nAnswer: 20*h + 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*m**4 - 1316133*m**3 - 2*m**2 - 4*m + 532726 wrt m?\nAnswer: -108*m**2 - 7896798*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387653.\nAnswer: 7, 79, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:23 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 446896 and 744?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -19*s**2 + 24*s - 1. Let n(k) = 10*k**2 - 13*k + 1. Calculate 6*j(p) + 11*n(p).\nAnswer: -4*p**2 + p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -882 divided by -49?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnvndnvnnnwnnn. Give prob of picking 2 v and 1 w.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196370 is divided by 65455.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/(-12) + 4 + -1. What is the second biggest value in 5, a, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*-2*(-1*sqrt(20)*-2)\/(6*1*sqrt(4)))**2.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -89 times 0.2\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 101, 2071\/14, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*b - 28, -15 = 2*b - 5*t + 2*t. Let j be 3\/((-21)\/b + -2). Solve 0 = -3*z + 2*s + 2, -2*s = -j*z + 1 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 13\/14, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 + 2*m**2 - m - 1. Let g(i) = -i**3 - 4*i**2 - 4*i - 1. Let o be g(-3). Is z(o) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*f - 19*f - 65970. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u**2 - u + 1. Let k be d(0). Let z be ((-1)\/2)\/((-14)\/364). Let a = -11 + z. Put a, k, -5 in increasing order.\nAnswer: -5, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 34 = -20. Suppose s = -u*y + 261, s + 1009 = 5*s + y. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -11. Which is the closest to 1\/2? (a) -8 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.128 * 1949.7.\nAnswer: 249.5616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 7 = -43. Suppose u*b + 675 = 45. List the prime factors of 3 - (-2 - -2) - (b + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-50)\/12 + (-3)\/(-18))*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e2 (base 16) to base 6.\nAnswer: -1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42071 - 29994. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*x = -230*x + 1800. Sort -4, 5, x, 4.\nAnswer: -4, 4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40.76, -2, -46 in ascending order.\nAnswer: -46, -40.76, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 15. Let c = h - 9. Solve 2*q - 3*l + c = 0, -3*q + 4*l - 4 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -32*i**4 - 46*i**3 - 434*i**2 + 2058*i - 2172. Let a(f) = 102*f**4 + 139*f**3 + 1303*f**2 - 6173*f + 6518. Let m(j) = 6*a(j) + 19*t(j). Factor m(k).\nAnswer: 4*(k - 15)*(k - 2)**2*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-6) - 2*(-1)\/4. Suppose j*z - 310 = z + 2*m, 4 = m. Is z a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7539341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k. Let s(n) = 162 - 79 - 82 + 4*n. Calculate 4*s(o) + 5*t(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*((-290)\/(-425) + (-4)\/(-34)). Solve v*y = 5*s - y + 40, 0 = 3*s + 5*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-35) + (-2)\/(-7). Let l(j) = -j + 5. Let a be l(4). Which is smaller: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 + 118101636*q + 1162333035489708 = 0. What is q?\nAnswer: -19683606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8979534547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 0*t**2 + 2*t**2)*(-6*t**2 + 68 - 68 - 3*t).\nAnswer: 12*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2885, -3, 2\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 3*n**3 - 5 + 5 - 3. Let m be w(3). Calculate the greatest common divisor of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16977715.\nAnswer: 5, 1277, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 61 + 16*f**2 - 9*f**2 + 21*f**2 - 63.\nAnswer: 36*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -769, -1580, -2391, -3202, -4013?\n\"Answer: -811*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/5 + 838*r**4\/5 - 27456*r**3\/5 + 220536*r**2\/5 + 248832*r\/5 = 0. What is r?\nAnswer: -1, 0, 18, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5742803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -173*m**2. Let r(y) = 16*y - 3. Let g(z) = -43*z + 8. Let o(v) = 3*g(v) + 8*r(v). What is h(o(w))?\nAnswer: -173*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696 and 1330104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let b = w + -6. Let v be (-172)\/(-36) - b\/18. Solve 5*x = 2*d + 4 + 4, d + 2*x = v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 3*u - 1. Let h = -44 - -39. Let k be -3*(h - -1)\/(-4). Give b(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*k - 29*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) + ((sqrt(28) + sqrt(112)\/sqrt(4) + sqrt(28))\/sqrt(4))**2.\nAnswer: 9*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r - 13*r + 3944262 - 3944266.\nAnswer: 18*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/45 and -151\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235120\/(-11756) - (1630\/(-74) - -2).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3904 and 1374757?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let u(n) = -8598*n**2. Give u(a(x)).\nAnswer: -34392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3330791*a**3 + 3*a**2 + 17*a - 189?\nAnswer: 19984746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 30883580.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 - 1876*s\/5 - 439922\/5.\nAnswer: -2*(s + 469)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97262 and 3938.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313262747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33861 = -866*j + 4243 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23348458 to the nearest integer?\nAnswer: 4832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 25*r**2 - 144*r + 16. Let q be x(-9). Solve 2*i + 3*v + q = v, 0 = -i - 4*v - 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000796 to 5 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16*-2608827\nAnswer: -41741232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - -d?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139467874 and 26385814?\nAnswer: 976275118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (14\/21 + -4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 9*d**2 + 3*d**2 + 1719*d**3.\nAnswer: 1719*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11986*f + 11959*f = -294975. List the prime factors of f.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5bd64b - 2?\nAnswer: 5bd649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1539) - (-5 + sqrt(1539) + sqrt(1539) + -1))*5)**2.\nAnswer: -2700*sqrt(19) + 39379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r - 108. Let l be c(24). Let k = 588 - l. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 15194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123132624 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2\/5 + 234*p\/5 - 4563\/5 = 0. Calculate p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29693.25 and -1?\nAnswer: 29693.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 8 - (-29 + 17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.3 (b) 2 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/1*21\/(-21). Suppose 28 = 4*a - t, -t - 21 = -x*a + 4*t. Find u such that -a - 57*u**3 - 4*u + 61*u**3 + 0*u + 12*u**2 - 5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 133476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18484 divided by 4\nAnswer: -4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -4 (c) -13 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6, 5*b + 7 = 5*v - 3. Calculate the least common multiple of (1\/v - 7)*-1 and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540 - -3?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 z when three letters picked without replacement from {r: 2, f: 4, z: 1, c: 6}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193936?\nAnswer: 2, 17, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 4*j. Suppose 2*t + 3*l - 24 = -t, 9 = j*l. Suppose t*u = u + 512. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8393*y**4 + 7391?\nAnswer: -33572*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u - 15 = 0. Let x be (18\/u)\/(2\/(-5)). Suppose r + x*r - 4*n = 176, -3*r + 2*n = -130. What is the highest common factor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:45 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 243\/8, -2\/7, -2, 0.05, 2?\nAnswer: 243\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351884963?\nAnswer: 521, 569, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 26. Let s be (24\/l)\/((-6)\/(-9)). Suppose 0 = s*z - 2*z - 126. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.14 (b) 2\/29 (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195490136.49999981 - -195490138. Let f = i + -1.5. What is f rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1050 = -h, 2*b = -14*h + 15*h - 1050. Suppose -12*t + h = 18*t. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 223\/38? (a) 0.03 (b) -0.06 (c) -0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*t - 13. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*x + 321, 0 = 5*x - t - 2*t - 317. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*q, 28*q - 23*q + u = -9. Let h(f) = -f + 1. Determine h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/7 in -0.1, -0.3, -4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339*o + 30*o**2 - 1339*o.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2\/4 - 1235*i + 14640 = 0. What is i?\nAnswer: 12, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 38. Suppose -2*p + d = -11. Solve -3*j + 2*j - 16 = 4*u, 3*j = 3*u + p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 2\/7, 5, 8 in increasing order.\nAnswer: 2\/7, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggbu when four letters picked without replacement from uggbuuuug?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/60 and 47\/1796172.\nAnswer: 8980860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**5 - f**4 + 28*f**3 - 100*f**2 + 151 wrt f.\nAnswer: 840*f**2 - 24*f + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z = -92*z - 60. Let y be (-3 - 10\/(-6))*-21. Let n = y - z. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159003 (base 10) to base 14\nAnswer: -41d35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 212254*j**2 - 9*j - 6094040 wrt j.\nAnswer: 424508*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/27, 2\/13, 1\/7, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 373, 376, 381, 388?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 16, 63, -6, 0.05 in increasing order.\nAnswer: -6, -0.2, 0.05, 16, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -28*d**3 + 2*d**2 + 13*d + 72. Is q(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -50, -91, -170, -299?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4174?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l**6\/l))\/(l\/(l*l**0\/l))**(-19) assuming l is positive.\nAnswer: l**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 + 0.42. Which is the nearest to -1? (a) 0.5 (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -20 + ((-1 - -5) + 11 - 26)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 285810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p - 3. Let y be c(-21). Let x be y\/(-24)*(-1 - 3\/(-5)). Let d be ((-150)\/x)\/(4 - (-36)\/(-8)). Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2669 + 2962. What is the remainder when m is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 2*x**2 - 2*x + 3. Let b be n(-3). Suppose 5*k + 5*q - 175 = b, k - 6*q - 23 = -3*q. Calculate the highest common divisor of 160 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/(-10) + (-10)\/(-15) and 7 - ((-9)\/15 - (-3162)\/495)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from liiilililillli?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -331640a?\nAnswer: 3316409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471 divided by -1?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = g - 3*i, -2*g + 5*i = -46 + 21. Suppose 15*c - 31 = 14. Solve g*j - c = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.8907 - 57363.1\nAnswer: -57380.9907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*t + 5*j = 98*t + 101*t + 19, -3*t + 71 = 2*j - j for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70\/456413 or -26?\nAnswer: -70\/456413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 187 - 45. Let q = b - 51. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4345800.\nAnswer: 2, 3, 5, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3545, 9647, 18299, 29507, 43277, 59615, 78527, 100019?\n\"Answer: h**3 + 1269*h**2 + 2288*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from kkyhnnnzkhyk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a41a3 - -4?\nAnswer: -3a419e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-1112)*(4\/10)\/((-234)\/2340)?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -443*i**2 + 7*i + 2. Let p be d(5). Let g = -16838 - p. Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/138 and 17\/57614?\nAnswer: 3975366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 15. Solve 3*t + b = 8*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5316.5905038 + 0.012\nAnswer: -5316.5785038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(2 + 1 - 1)*(-1 + 0 - 1)*(0*x - 4*x + x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/6 - 0)*(-15)\/(-3). Suppose -19*m = -n*m + 869. List the prime factors of m.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 11*l - 140. Let m = -12 - -23. Suppose 5*h + 3 = -3*b + m, 4*h - l = -5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/71 (b) 41 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(98) - (-1 + sqrt(98) + -3 + sqrt(98))))**2*-6.\nAnswer: -642 + 252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 6*v + 6*v + 8*v to the form f + u*v and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -141. Suppose 5*x - 4*i = 1016, x - 3*i = 2*x - 188. Calculate the greatest common factor of x and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 8:59 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 7361 = -9*b. List the prime factors of b.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*r + 121*r - 47*r**2.\nAnswer: -47*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*l + 1016 + 4990, -3*h - 4*l + 3578 = 0. Suppose 3*v + 3*d - 1203 = 0, -4*v + 4*d + 430 = -h. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*q - 2 + 2)*(3*q + q - q) to the form f*q + r*q**2 + g and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-30) - ((-710)\/100 + 7))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.02 (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/46172 and -41\/13580.\nAnswer: 230860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21762, -43521, -65280, -87039?\nAnswer: -108798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c**2 + 28198*c - 39790205. Let q(l) = -135*l**2 + 225585*l - 318321640. Let n(a) = -12*q(a) + 95*z(a). Factor n(v).\nAnswer: 5*(v - 2821)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 26*v**2 + 53*v + 89. Let g be f(28). Let y(p) = 3*p**3 + 2*p**2. Let x(n) = 6*n**3 + 5*n**2 + n. Determine g*y(l) - 2*x(l).\nAnswer: 3*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -623.3 and -1.39097.\nAnswer: -624.69097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 26. Let x be -215*7\/(g\/(-8)). Let p = -133 + x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 - -152 - 71780\/1260?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2742665.717 to the nearest one hundred.\nAnswer: 2742700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 1355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*b + 390. Let o = b - 66. Suppose 2*f - y = 57, o = f + y + 3*y - 51. Calculate the remainder when 153 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36935003.\nAnswer: 7, 59, 89431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -860817*o**2*p + 3*o*p - 323066*o wrt o.\nAnswer: -1721634*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izi when three letters picked without replacement from ziziiiiziiiiidii?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 359194897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 - (1 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 396752 divided by 2?\nAnswer: 198376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1221*p**2\/2 + 1113*p - 1148. Find the first derivative of h(x) wrt x.\nAnswer: -1221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (2 + -3) - -1. Let k(q) = -15*q - 2 + 4 - m. Is 23 a factor of k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufffqssffffffs. What is prob of picking 3 s and 1 f?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*u**2 + (-u + 0*u + 0*u)*(-3*u + 5*u - 3*u))*(3 - 1 + 1).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -243*u**3 - 9131967*u**2 + 8117448*u - 1803888.\nAnswer: -3*(u + 37581)*(9*u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3078*k**3 - 859*k**3 + 155*k**2 - 154*k**2.\nAnswer: -3937*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 8. Let t(n) = -n**3 - 8*n**2 + 4. Let b be t(h). Let y be (-1)\/2 - (-578)\/b. What is the highest common factor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9579694*-59.\nAnswer: 565201946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.2, -1\/4, -1, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -v + 21898, -3*h + 5*h + 43820 = 2*v. Let y = 45108 - v. Round y to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 6*o + 39. Determine y(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854, -861, -868, -875, -882, -889?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2942*c + 5211*c + 1247*c as k + n*c and give n.\nAnswer: 3516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*a + 47. Let r = 15 + -9. What is the remainder when (1 - (3 + -2)) + a is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -19135.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5655 by 195.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 23*l + 3. Let z(x) = -x**2 + 8*x - 1. Suppose -3*g + 27*v - 32*v - 41 = 0, -3*v - 79 = 5*g. Determine g*z(i) - 6*f(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 30800\/(-73920)*(-2)\/(-5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let w = -2053\/4823 + -2\/689. Let h = 0.88 - 0.08. What is the smallest value in z, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 - 10*a - 5. Let j(l) = l**3 + 7*l**2 - 2*l - 5. Suppose -2*q - 5*s + 2 = -3*q, 2*q + 13 = s. Let v be j(q). Is g(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.10716 + 0.36781. Let m = v - 0.26. Round m to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/42*(8883\/94)\/21*(-21)\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - 5*j)*(3 + 7 - 5)*(-2 + 2 + 2*j + (-1 - 2*j + 1)*(-1 - 1 + 4))*(0*j - j - j).\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:32 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i**2 + 11*i + 9. Let g(d) = 21*d**2 + 11*d + 7. Calculate 4*g(h) - 3*s(h).\nAnswer: 24*h**2 + 11*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -32*j + 73 - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 v when four letters picked without replacement from {f: 1, v: 3, j: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85038, 171152, 257266?\n\"Answer: 86114*l - 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.573637 weeks to microseconds.\nAnswer: 3975735657600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.8 + 10.02. Let o = -1.42 + m. What is the second smallest value in -1\/10, o, 2\/17, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 6) in base 7?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 349 divided by -2\nAnswer: -349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/37)\/a)\/(a\/(a*a\/(a\/(a*(a*a**(-42))\/a)*a))))\/(a**17*a**4) assuming a is positive.\nAnswer: a**(-2366\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -15. Let o be (-4)\/32*(-2 - u). What is the closest to o in 3, 4\/9, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(-2)*1)\/((-188)\/(-22944272))?\nAnswer: 2, 13, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, -0.27, -4\/7, 0.8?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -40, -6*a + u = -8*a - 4*u + 38 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69083 and 23491?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**4\/7 - 18*t**3\/7 + 48*t**2\/7 - 32*t\/7 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-3 - -21)) + 14\/((-224)\/24)*2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*(-3)\/18*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-39)\/9 + 3). Let z(k) = -k - 3. Let w be z(u). What is the units digit of w - ((-3)\/(-3) - 30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-4)*-10*(-21)\/735.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2 - (21 - 37). Let y be (-2 - -4) + (-40)\/t. What is the second smallest value in 1\/4, 1, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2144, 3, -3, -177, -4, 0 in ascending order.\nAnswer: -177, -4, -3, 0, 3, 2144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -10. Let h be ((-16)\/(-3))\/((-1)\/t). Let j(r) = -r - 1. Let i be j(-5). Solve z + i*o = 4*z - 2, 3*z + h = -5*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/1)\/(-4) - -1. Suppose -2*w + 4*w = z. What is the third derivative of 0*m - 6*m**3 - 2*m**2 - 5*m**2 + w*m wrt m?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219114397069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/55 + (-9)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*n = 12493, 4*n + 3226 = b + 79. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 6*y**2 - 6*y + 5. Suppose -25 = -8*i + 3*i. Let g be f(i). Let l be (g - -1)*(1 + 2). Solve 0 = -l*j + 9 - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64481*v**5 + 52*v**4 - 4*v**3 + v**2 - 4267*v + 15775.\nAnswer: -3868860*v**2 + 1248*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 3. Let o be a(2). Let s be 2\/7 - (-75)\/(-140). Let l = -0.5 + 0.3. What is the smallest value in o, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3 + 62*w**2 - 4 - 63*w**2. Let g(d) = 10*d**2 + 5*d + 12. Let j(f) = -11*f**2 - 6*f - 13. Let h(o) = 6*g(o) + 5*j(o). Determine -2*h(c) - 14*k(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4636800 or 4636917?\nAnswer: 4636917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92, -93, -96, -101, -108, -117, -128?\n\"Answer: -l**2 + 2*l - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i - 1180 = 913 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*q**4 + 3*o**3*q**2 - 3*o**3*q + 29*o**3 - 3*o*q**4 + 3*o*q + 1845*q**4 wrt q?\nAnswer: -48*o**3*q - 72*o*q + 44280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 4*k + 70 = 0. Let g be (3 - 3)\/(-1) + (k - -16). Solve 0 = -4*n - n - z + 7, n = 5*z - g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 451419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4 = 5*l - 20, -4*l + 3*j + 29 = 0. Suppose l*w = 2*a + 138, -4*w - 5*a + 138 = 21. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4\/3 + 4*h - 5*h**2 + 4\/3*h**3 = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(2\/47)*r)*r))**(-15\/4)\/((r*r**(-2))\/r*r**(-1\/2)))**(-2) assuming r is positive.\nAnswer: r**(265\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 803, 1350, 1953, 2612, 3327, 4098, 4925?\n\"Answer: 28*j**2 + 463*j + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*o**3 + 2*o**2 + 617*o + 12039.\nAnswer: -21*o**2 + 4*o + 617","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = -5*b - 223, 259*r + 462 = 280*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1146905 weeks in days?\nAnswer: 0.8028335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(2240)*1)*3)\/(sqrt(567) + sqrt(567) + (sqrt(567) + sqrt(567)*2 - sqrt(567) - sqrt(567))*-4).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:49 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -123705 smaller than -123706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2 + 2 + 25*o - 23*o. Let f(m) = -31*m**2 + 6. Let j(y) = 1675*y**2 - 325. Let d = -25 - -19. Let w(q) = d*j(q) - 325*f(q). Give a(w(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 37 = -5*s, -3*m = -2*s - 16 - 15. Let x be (-2)\/(-6) - 3\/m. Suppose x = -5*r + 40 + 85. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - 5202\/(-136)) + (-2)\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4254*m**3*w - 3*m**3 - 7*w - 552 wrt m?\nAnswer: 12762*m**2*w - 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222 + 221.92. Let o = 0.28 + m. Sort 3, o, -0.1, 0.5 in descending order.\nAnswer: 3, 0.5, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2 - r - 12*r**2 - 830*r**3 + 828*r**3 + 3. Is m(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -266, -401, -536?\n\"Answer: -135*p - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (14 - 20) - (-6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*-0.04643193\nAnswer: -0.157868562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97726.\nAnswer: 2, 131, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 102a5 (base 11) to base 3\nAnswer: 202120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -15, -1, 0.5, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 2*y**2 + 4*y**2 + y**2 - 8*y**2 to the form z*y + g*y**2 + o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 11. Let b be (-1)\/(3925\/1310 - 3). Let t = b + -260. Solve 7 = c*u - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -686919, -1373831, -2060743, -2747655?\nAnswer: -3434567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t. Let g(z) = 2*z. Let q(u) = 3*u + 11. Let w be q(-7). Determine w*g(i) + 6*j(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 - (167792\/56 + 4). Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 32. Let t = -45 + k. Suppose -o + 3 + 1 = t. Solve 3*f - 2 = 5*v, -5*f - 5 + 17 = -o*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 5674*t**3 - 2 + 5*t - 4*t + 5673*t**3 - 11344*t**3 + 307*t**2 as m*t + b + j*t**2 + q*t**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2979385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1386 - 673. Suppose -4*t = 3*x - 568, 0 = 5*t - 0*x + 3*x - d. Suppose 0*h - h + t = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150 and 390?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 2.7689?\nAnswer: -22.1512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10\/11)\/(o*o*o*(o\/(o*o**(-1\/8)))\/o*o*o))\/(o*o*(o\/((o*o**4\/o)\/o))\/o*o*o*o\/o**(-3\/13)) assuming o is positive.\nAnswer: o**(-8311\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-6)\/(-225))\/((-10)\/15)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4063.516527 to 1 dp.\nAnswer: -4063.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.441685ug in tonnes?\nAnswer: 0.000000000005441685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 2, -4, 3542 in increasing order.\nAnswer: -7, -5, -4, 2, 3542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117371800 and 4200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - q**2 + 2. Suppose 0 = 2*a - 2*j - 16, -2*a - 1 = 4*j + 7. What is the remainder when b(-3) is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5.7. Let o = -6.43 - -6.73. Put -2, 0.2, o, g in increasing order.\nAnswer: -2, g, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 7*s - 2. Calculate l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most as big as 8\/8433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**3 - o**2 - o + 1. Suppose 2*a - 2*l = -18, -3*l = a - 2*l - 1. List the prime factors of w(a).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (0 - 1) - 0. Let y(b) = -b**3 + 7*b**2 - 5*b - 5. Let s be y(a). Let m be 70\/21 + 2\/3. What is the second biggest value in m, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = 4*m. Let v = -0.002 - -26.002. Let j = v + -26.1. What is the nearest to m in -1\/4, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5808) + 0 + sqrt(5808) + -5.\nAnswer: 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 3 (b) 1 (c) -2 (d) -4\/5 (e) -78.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147252.\nAnswer: 2, 3, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1001010111010000 (base 2) to base 7\nAnswer: 216546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6139, 5786, 5419, 5032, 4619, 4174?\n\"Answer: -i**3 - i**2 - 343*i + 6484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 10:16 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h*(h**(-3\/4)\/h)\/h*h)\/(h**2*h*h**(-2\/7)))\/((h*h*h**(1\/4)\/h)**(-11)\/(h**(-2)\/h)**21) assuming h is positive.\nAnswer: h**(-341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110101 (base 2) to base 12.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40012998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/60 - 38*z**2. Let h(r) = r**2 + 0*r**2 - 7*r**2. Give h(j(d)).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose -12*y - 23 = -15*y + 5*b, -4*b - 11 = 5*y. Let k be (4\/8*-2)\/(y\/1). Put k, f, 3 in decreasing order.\nAnswer: f, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12028*a = -4686 - 151678 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3186951 - 3186942.0000064. Let r = 9 - o. What is r rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*s - 32, 0 = -6*s + 11*s + 5*q - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8*h**3 - 1\/3*h**5 + 8\/3*h**4 - 16\/3*h + 32\/3*h**2.\nAnswer: -h*(h - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((7*a - 4*a - a)*(0 + 3 - 2) + 5130 - 5130 + 195*a)*(-2 + 3 - 3) as n + d*a and give d.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -42. What is the common denominator of -83\/22 and 166\/i + (4 - 2)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/69*6\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -6, 14, 52, 114, 206?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 194484195?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 759827458?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*d = 15, 4*d - 7*d = -2*x + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 20*h - 62. Let s be w(-26). Is s equal to -1570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -150, -91, -12, 87?\n\"Answer: 10*s**2 + 29*s - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2405 - 0.5405. Which is the closest to 0.5? (a) -1 (b) 14 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhrhppbxx. Give prob of picking 2 h and 1 p.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -2867, -9590, -22683, -44270?\nAnswer: -76475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 9*t + 30. Let b(w) = -2*w**2 + 25*w + 68. Let d be b(15). Is j(d) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - f = 0, f + 0 - 4 = 0. Let l(t) = -t**3 + 4*t**2 + 2*t + 1. Is 9 a factor of l(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3818*k**5 + 2*k**4 - 13686*k**2?\nAnswer: 229080*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)*m**(2\/3))**20*(((m**(-3\/2)*m)\/m)\/(m*m*m**(4\/5)*m))**(-13\/5) assuming m is positive.\nAnswer: m**(5567\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4*a + 1849 = 1865, -2*q - 4*a - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - 2103.397539?\nAnswer: -2188.397539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*m = -172*m - 3402 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5780487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*m**2*w**3 - 6*a*m**2*w - 810*a*w**3 + 2*a*w**2 - m**2*w - 18*w**2 wrt w.\nAnswer: 18*a*m**2 - 4860*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232077 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j + 3*c - 105, -4*j + 5*c = -113. Suppose -5*y + j = -2*y. Let p = -166 - -238. Calculate the highest common factor of p and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95\/9 + -6392\/603. Let x = q + -5141\/402. Let h = -1101\/110 + 315\/44. Find the common denominator of x and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1\/s)**(-3\/23)\/(s*s**(-1))**14*(s\/(((s\/s**(-1\/4))\/s)\/s))**(3\/13)*s**(-1\/3)\/s*s*s*s\/(s\/(s\/s**2)) assuming s is positive.\nAnswer: s**(-215\/3588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1649166 rounded to 3 decimal places?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 259\/10 - 113\/5. What is the common denominator of 137\/6 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -5, -4 in decreasing order.\nAnswer: 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*g - 373 = 0, 2*g - g + 1 = 0. Suppose 4*o - 6*o + 12 = 0. Let t = o - -31. Calculate the highest common divisor of t and l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 75.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 18405261?\nAnswer: 36810522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-14)\/g*g*g**14)**39 assuming g is positive.\nAnswer: g**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g**2 + 17*g**3 - 18*g**3 - 3 - 4 - 7*g. Suppose 3*p + 5 = 2*p. Is c(p) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 + -340. Let o(j) = -8*j**2 + 79*j - 77. Let t(x) = -7*x**2 + 81*x - 78. Let c(p) = h*t(p) + 2*o(p). Factor c(f).\nAnswer: 5*(f - 16)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*j + 4*j + 3*i = -32, 7 = 7*i for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*j = -4*j, 3*b = -2*j + 2. Suppose -2*x + 1 = -y, 10 = b*y - 2. Solve 5*f - 2*q + 4*q + 6 = 0, 4*f + x*q + 4 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6975 + -6972. Solve 18 = 2*r - 0*u - d*u, 11 = 5*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2970727*d. Let y(j) = -j. Calculate y(u(x)).\nAnswer: -2970727*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-3\/2)*a)\/a)**39)**35*((a*((a*a**5)\/a)\/a)\/(a*a**(1\/8)))\/(a\/a**(-1))**26 assuming a is positive.\nAnswer: a**(-5845\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 26*y. Suppose y = -u - 3*u + 132. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25209 < 25213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-30))**(-9\/5) assuming h is positive.\nAnswer: h**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q + 18*q + 3917. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13624, 18194, 22764, 27334, 31904, 36474?\nAnswer: 41044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 1237655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*y - 7. Suppose 5*j - 24 = -4*k, -y*k + 1 = -2*j + 5. Solve -5*w - j*s + 1 + 3 = 0, -3*s = -5*w + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(20)\/(sqrt(2)*6)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309063733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, -4, 5, -14, 2, -293 in decreasing order.\nAnswer: 5, 2, 0, -4, -10, -14, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 - j + 1. Let u = 3 + -1. Suppose -10 = 5*v + 6*o - u*o, 3*v - 16 = 2*o. Give w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141015266 to the power of 1\/4, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 35. Let g be (-1)\/(-3) + c\/(-21). Solve o = -2*i + 12, 0*i + 21 = 3*i + g*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2 - 439556*w - 24151184642 = 0.\nAnswer: -109889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 11. Solve 6*j - d = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137153 (base 9) to base 15\nAnswer: 19d29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 371419085*m**3 - 2*m**2 + 37258100*m - 2.\nAnswer: 2228514510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 4:06 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-567)\/(-63)*((-48)\/(-27))\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1331 (base 4) to base 9\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 1. Calculate the lowest common multiple of v and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28766\/48377 or -2?\nAnswer: -28766\/48377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(448\/(-24))\/(-14). Solve 0*s = 5*a - 2*s - 24, a + v*s + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2 - 350928*r - 350924 = 0.\nAnswer: -87731, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*w - 13, 0 = 5*p - 4*w + 6 + 5. Suppose -g + 25 = -p. What is the lowest common multiple of g and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -2. Let l be 10*(-2)\/a*10. List the prime factors of ((-90)\/l)\/((-2)\/(-10)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.79 + -1.31. Let g = f - -15. Sort 4, g, 0 in increasing order.\nAnswer: g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-133)\/152*-8 - (-6160 - 0)?\nAnswer: 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 3. Let k = 82381 - 82267. What is the remainder when k is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**2 - 8*z - 9. Let f(x) = 4*x**2 + 4*x + 4. Let d(w) = -11*w - 6. Let p be d(0). Let n(a) = p*o(a) - 13*f(a). Factor n(h).\nAnswer: 2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2058 or 2128?\nAnswer: 2128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - 26*d + 109. Let y be u(7). Suppose 4*z - 6 = 2. Suppose -y = -0*q - z*q. What is the remainder when q is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -13 + 18 + 34*o + 17. Let a(k) = 33*k + 23. Let h(v) = 2*a(v) - 3*t(v). Differentiate h(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4 - -2)\/((-3057)\/(-41779))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o - 2*o + 1 - o + 2 - o - 5*o**2 - 4*o**3. Let y(s) = -6*s**3 - 8*s**2 + 3*s + 5. Give 8*c(j) - 5*y(j).\nAnswer: -2*j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:40 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 681712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -16*g**2 - g - 7. Calculate d(3).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -2*j + 14*j. What are the prime factors of (46\/(-8))\/(((-55)\/j)\/(-11))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 7\/(-5))\/((-15)\/(-75)). Determine m, given that -8*m**4 + 4*m**5 + 4*m - 8 + 16*m**2 - m**c - 3*m**3 - 4*m**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007351962 rounded to 4 decimal places?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 240 + 24. Let k = c - -135\/2. Calculate the common denominator of -97\/2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 15, 2*f + h = -0*h + 15. Suppose 81 = f*m - 6*m. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -314. Let i = o - -253. What is the greatest common factor of i and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e7 (base 15) in base 7?\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p + 50*p + 83*p)*(-4*p + 3*p + 2*p)*(0*p**2 + 0*p**2 - p**2) to m*p + b*p**4 + z + h*p**2 + x*p**3 and give b.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, p: 4, f: 7}. What is prob of picking 1 f and 2 h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15882*n + 47610*n - 960 = 15866*n + 15910*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 30218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*w + 25, -3*x - 3*w - 5 + 2 = 0. Sort x, -5\/2, -1 in decreasing order.\nAnswer: -1, -5\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**2 - 1424*v - 10*v**2 + 1424*v + 7*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:37 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 608422951*v**4 - 2*v**3 - 1762*v**2 - 2*v - 12345 wrt v.\nAnswer: 14602150824*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6834, -6835, -6836?\nAnswer: -6837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247078874?\nAnswer: 2, 7, 41, 61493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 448708337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s + 9. Suppose s*x + 6 = 5*x. Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*o**3 + 79*d**2 - 2*d - 416*o**2 wrt o?\nAnswer: -3*d**2*o**2 - 832*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = 36. Let m(j) be the second derivative of j**5\/20 + 2*j**4\/3 - 5*j**3\/3 - j**2 + 2*j + 1. Calculate m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 50. Solve j*d - 17 = -5*i, i - 2*d - 2*d - 21 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 12:09 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -21.75909\nAnswer: 6.527727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35779, 143127, 322037, 572509, 894543, 1288139?\n\"Answer: 35781*f**2 + 5*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42363 and 6276?\nAnswer: 169452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3 - -2)*1. Let s = 1.15 + 0.05. Let f = 0.2 - s. What is the third smallest value in f, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 813 and 177505?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.363\nAnswer: 0.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-104)\/13)*(12\/(-3))\/(-64)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.0637?\nAnswer: -0.1911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209 - 208. What is the closest to s in 0.4, -2\/17, 0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 - 15*v - 6. Let b be r(-8). Find the common denominator of -3\/40 and -1*(232\/(-240))\/(4\/b).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/143 or -1?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271403 is divided by 12336?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2007 and 33673?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 4*a - 3*a. Let l be k(-5). Solve 0 = -g - 4*m + 15, -4*g - 31 - 14 = -l*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhhahhoazhaz. What is prob of sequence azo?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018343411 rounded to 5 decimal places?\nAnswer: -0.01834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = 3. Let q be ((-2)\/y)\/(4 - 3). Let g = 0.7 + -1.7. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/31 + -128\/341. Let d = 5 + -5. Which is the nearest to 2\/3? (a) n (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a + 4*k - 600 = 0, -4*k = a - 141. List the prime factors of a.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2663958?\nAnswer: 2, 3, 11, 181, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 16629*m - 33092*m + 16759*m in the form d*m + q and give d.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/12)\/((-6)\/16). Let a(s) = s + 4*s**2 + 3*s**3 - u*s + 2*s. Is a(2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -119. Let r(b) = 5*b - 8 - 12 + j + b**2. What is r(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -10*h**7\/3 + 37*h**4\/4 + 133*h. Find the third derivative of u(t) wrt t.\nAnswer: -8400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 161. Let t = -84 - u. What is the remainder when t is divided by (-96)\/(-7) + (-16)\/(-56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 90 = 2*l. Suppose -4*k - l = -k. Calculate the remainder when 16 is divided by (-160)\/k + 2\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.52338 rounded to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5 - 17. Let j = x + -15. Let b(i) = -30*i - 1. Is b(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x - 2*u, 3*u - 11 = -5*x - 3. What is the smallest common multiple of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10 + (-71346)\/3795\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 221 - 131. Let i = -60 + a. What are the prime factors of 1\/((-4)\/(-98))*i\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.23951065303 and 5.\nAnswer: -0.23951065303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10648*y + 85170. Give d(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -485868?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*z - 10858, -4*z = -w + 4*w + 8692. Let h = -380 - z. Round h to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**8*h*h\/(h**(1\/17)*h*h))**(-31))**(-19\/3))**11 assuming h is positive.\nAnswer: h**(-259160\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -173451.129 to the nearest ten.\nAnswer: -173450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-125)\/(-30))*-20*13\/(-67860)*60?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121743191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 24170556?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11 and 12\/95?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/13 + 6097218*z\/13 - 36583380\/13 = 0.\nAnswer: -3048615, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -1010*b**7\/7 + b**3 + b + 343. Find the third derivative of v(n) wrt n.\nAnswer: -121200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-10 - 1 - 2)*(0*s - s - 4*s).\nAnswer: -130*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8469 divided by -3\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*o - 8*o + 61890 = 44*o - 1865*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 17*k**2 - 36*k - 14. Calculate b(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3648)\/11799 + (-43)\/9 + 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 28 = 2*w, 0*w = 5*w. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9264230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -49*a + 6. Let q(l) = -48*l + 7. Let m(z) = 7*z - 34. Let u be m(4). Let r(f) = u*x(f) + 5*q(f). Find the first derivative of r(k) wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 25\/(-15))*-24*90\/20160.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-18 - (42 - ((17 - 7) + -21)))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*g - 24235 = -24204, 5*p - 5*g = 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 8*g**2 + 6*g - 4. Let m(c) = -c**3 + 7*c**2 - 6*c + 4. Let j(a) = 3*m(a) + 2*w(a). Calculate j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/(-4) - 3)*352\/(-792)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/733956 and -41\/118380.\nAnswer: 3669780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h**2 - 3348*h - 2413. Calculate j(479).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 8:46 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36730, 37024, 37508, 38176, 39022, 40040, 41224?\n\"Answer: -x**3 + 101*x**2 - 2*x + 36632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from yaayxayxxaxxxkjaxjjx?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 578106737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 960320.9 days in weeks?\nAnswer: 137188.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 40, 66, 96, 130, 168, 210?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1132302892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(45)\/sqrt(3))\/(-3*(-5*sqrt(27) + sqrt(3))).\nAnswer: 5*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*s**4 + 85*s**3 + 140*s**2 + 60*s.\nAnswer: 5*s*(s + 2)*(s + 3)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1473*a + 7. Is c(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 11040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*w - 297, 3*v + 3*w - 7*w + 403 = 0. Let q = -131 - v. What is the least common multiple of q and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 5.4. Let r be -4 + (4 - -4) - 2. Suppose -5*c = s + 1, -1 - 3 = 4*c. What is the second biggest value in r, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27374? (a) 1 (b) 0 (c) 3\/5 (d) -3 (e) 152 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) 5 (c) -3.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33628?\nAnswer: 2, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 576*a + 18848. Is 341 a factor of f(62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8120.455t in nanograms?\nAnswer: 8120455000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3 + 503848*o**2 + 10701376*o wrt o.\nAnswer: -12*o + 1007696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 6 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-3) + (-440)\/132.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 4 + (0 - 5). Which is the nearest to -7\/2? (a) g (b) -0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 819297946 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 3*m + 2. Let w be z(-4). Let x be ((-4)\/w)\/((-2)\/(-3)). Let g be (-1)\/1*-3*(-1)\/x. Solve 2*v + 3*a = -0 - 13, a + 9 = -g*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.32 from 12.\nAnswer: 15.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 42 = -j. Let g be 33\/(j\/(-4) + -3). Suppose -5*a = -23 - 7. Calculate the greatest common divisor of a and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15498 at least -15491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3 + 3)*(6*o - 3*o - 4*o)*(-o**2 - 5*o**2 + o**2).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -123, -171, -241, -339, -471?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 332538533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 14, -1, 2877, -7, 135 in increasing order.\nAnswer: -7, -1, 3, 14, 135, 2877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 124\/(-3069)*(-18)\/(-528)*12\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 20*r + 2. Let l(a) = 25*a. Calculate l(q(p)).\nAnswer: 125*p**2 + 500*p + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a millimeter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719174 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 55 + 8670*o - 8682*o - 51.\nAnswer: -12*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-8)*(3\/3 + -1). Solve s = 11*f - 10*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 7*b**6\/30 - 4*b**3\/3 + 2*b. Find the second derivative of d(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -y - 11, -5*y + 15 = 4*z + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1188 - 143 - 351 + 748 + 627)*(-2*g**3 - 3*g**3 + 2*g**4 + 6*g**3) to the form z*g**3 + v*g**4 + n*g + b*g**2 + s and give v.\nAnswer: 4138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5886 - -11281. Is 65 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3088424026.\nAnswer: 2, 173, 8926081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 245 = d, -4*d - 9 = -q + 40. Let j be (-2 + 1)\/((-2)\/(-10)). Calculate the least common multiple of (-5)\/j - (1 + -1) and q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*d = -12, 2*r - 5*r - 2*d - 6 = 0. Let y be (5\/((-10)\/(-8)))\/(r + 1). What is the derivative of 15 + 9*i**4 + 10*i**y + 2*i**4 wrt i?\nAnswer: 84*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 602169.8*4\nAnswer: 2408679.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)*-4)\/sqrt(5) + -3 - ((sqrt(420)*2)\/sqrt(7))\/(sqrt(12) - (sqrt(12) + sqrt(24)\/(sqrt(2) + sqrt(6)\/sqrt(3)))).\nAnswer: -8*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2 times 2?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 841*v - 139807. What is i(166)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 - -14)*1\/(-1). Let n be ((-15)\/10)\/1*o. What is the greatest common divisor of 42 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4670 divided by -136138.\nAnswer: -2335\/68069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 7*k**2 - 45*k - 133. Is f(30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 52*j = 24. Let s be -9*40\/(-15) - 3. Solve 11*n - s = j*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13468293899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 6*z**2 - 3*z + 4. Let m = -14 + 9. Determine t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10579 is divided by 3438?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000134358 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (52\/8 - 7)*(-2 + 0). Put z, 4, -4 in descending order.\nAnswer: 4, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -0*v + 2860. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 330050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 750 - 750. Which is smaller: -1\/685 or u?\nAnswer: -1\/685","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143111616 (base 7) to base 13.\nAnswer: -1c53045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62\/3*n - 2\/3*n**3 + 22\/3*n**2 + 14.\nAnswer: -2*(n - 7)*(n - 3)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-15)*-2*(-5)\/2. Let a(c) be the third derivative of -p*c**4 + 0 + 0*c + 0*c**3 + 13*c**2. Let d(u) = u. What is d(a(z))?\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byby when four letters picked without replacement from {y: 2, j: 1, b: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71 (base 9) to base 16.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.85 - -671.95. What is u rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 2*w**2 - 3*w + 5*w - 2 as n + a*w + u*w**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -125 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2895*c**3*i**2 - c**3*i + 12*c**3 + 5*c**2*i**2 + 15*c**2*i - 2 wrt i.\nAnswer: 5790*c**3 + 10*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4*n + 43 = -z, 0 = -2*n - z + 23. Suppose n*i = 5*i + 996. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -3, 6, -17, -84, -207, -398?\n\"Answer: -2*q**3 + 2*q**2 + 37*q - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 10:11 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i + 2*i - 2*i + 0*i + 0*i - i + (5 + 2*i - 5)*(5 - 2 - 2))*(-i - i + 4*i) in the form h*i + c*i**2 + g and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2443, 5, 131, 4.\nAnswer: -2443, 4, 5, 12, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 + (-1 - -3). Let u(x) = -13*x**2 - x. Let c be u(s). Calculate the remainder when 11 is divided by 2\/(-7) + (-88)\/c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -17, -19, -17, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205480071?\nAnswer: 3, 17, 49741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s - 27*s - 18*s)*(34*s - 34*s + 9*s**2) + (-6*s**2 + 2*s**2 + 3*s**2)*(3*s - s - s) - 5*s**3 + 2*s**3 + 2*s**3.\nAnswer: -299*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/7716?\nAnswer: 1\/7716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -7 + 14 + -20 - 4\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3705543*h**3*u + 7*h**3 - h**2*u - 4*h**2 + 57*h*u + 209*h + 3 wrt h.\nAnswer: -22233258*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/150843 and 23\/121458.\nAnswer: 9352266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (195\/6)\/(1\/(-2)). Let o be (-11)\/(-13) + (-10)\/q. What is the tens digit of -3 + (o - 1) + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p**2 + 53*p + 3. Let o be u(-8). Suppose -o = h - 526. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -39105 (b) 0.23 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 78 = 3*r, r + 3*x + 114 = 6*r. Calculate the highest common divisor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-3))\/(((-6)\/(-6))\/((-20)\/50)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -2\/3, -473, 0.08, -0.2, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 73 = g + 36, 13*g = -3*q + 89 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-2\/15)*x*x)*x*x*x**(-5)*x)**(2\/57))**(1\/2))**(-5\/4) assuming x is positive.\nAnswer: x**(43\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005218 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -747, -1159, -1571, -1983, -2395?\nAnswer: -2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4\/10119, -129, -0.5 in decreasing order.\nAnswer: -4\/10119, -0.1, -0.5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*-2 + 5)**2*5*-2.\nAnswer: -1010 + 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -26*n + 700. What is o(31)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 13. What is the smallest common multiple of 40 and x?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9920, 9081, 8240, 7397, 6552, 5705?\n\"Answer: -n**2 - 836*n + 10757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*x = -119, -3*s + x + 213 = -137. Calculate the greatest common factor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n - 4 + 4 + (-1 + 2 + 0)*(2*n - 1 + 1) + n - n - n)*(-n + n + 3*n) to the form k + v*n + t*n**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((2\/(-28))\/((-66)\/4)). Let u be (-128)\/(-22) - 7\/(s\/(-6)). Suppose -26 - u = -4*v. Calculate the lowest common multiple of v and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*z + z**2 - z**2 - 11*z**3 - 168*z.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17810657 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404738.\nAnswer: 2, 3, 78041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.4, 2, 0 in decreasing order.\nAnswer: 2, 0, -4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*((-133)\/(-7))\/57.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*-1*1)\/(-4*sqrt(396)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 3.9. Let r = 0.7 - 88.7. Let b = -84 - r. What is the third smallest value in -5, b, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**6\/60 + v**4\/8 - 2*v**3\/3 - 6*v**2. Is z(-3) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5) + -4 - sqrt(5)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/126 and 47\/30.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 3118228?\nAnswer: -3118223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.24 (b) 4\/3 (c) 1 (d) 0.5 (e) -0.3 (f) 162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -z + 3*w, -95*z + 97*z + 12 = -4*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**3 + 0*k**3 + 4*k**3)*(1 + k - 1) + 6*k**4 - k**4 + 0*k**4 + (3 - 3 - k)*(2 - 2*k**3 - 2) + k**4 + k**4 + 0*k**4 + 3*k**3 + 2*k**4 - 3*k**3.\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10755 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/(s*s**0\/s))**(2\/7)\/(((s*s\/(s\/(s\/s**1))*s*s)\/(s*s*s**(-2\/19)\/s))\/(s**(-2\/11)*s**(-2))) assuming s is positive.\nAnswer: s**(-7944\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144136664 to the nearest integer?\nAnswer: 12006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5908, 18517, 39588, 69115, 107092, 153513?\nAnswer: 208372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 861547*z**3 + 3*z**2 + 19146301*z?\nAnswer: 5169282*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 0.2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {v: 6, r: 2, s: 1, e: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18604.\nAnswer: 2, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 405, 434, 483, 552, 641, 750?\n\"Answer: 10*t**2 - t + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/11)\/a**(-1\/2))**30 assuming a is positive.\nAnswer: a**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 5\/(-20)*0. Let c be (-1)\/3 - (t\/(-6) + -1). Let x(n) = 1 - 2 - 1 - n**c + 3 + 7*n. Calculate x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o - 105 = 0. Suppose -o*d - 5*d = -130. Solve -4*h = -d*t - 6, 4*t = t + h - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. Solve 2 = -f*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -52) + (1 - 28) + -205 + 227?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 1 + 3. Suppose -o = 5*s + 24. Sort 0, 2, s in increasing order.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + b = 22, 66*g + 4*b = 67*g + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2\/4 + 651843*j\/4 - 1303638 = 0. Calculate j.\nAnswer: 8, 217273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/15)\/d*d)**(-17)*(d**(-2\/9))**(-4))**14 assuming d is positive.\nAnswer: d**(-11578\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - (-6 + 15 + -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3851931.4167 and -3.5.\nAnswer: -3851934.9167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/6)\/((-2)\/4). Solve a = -1 + f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16636651219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {a: 7, y: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -9*w**5\/2 - 3*w**4 + 11*w**3\/2 + 2*w**2 - 2*w = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*o + 29, -2*a + 11 = 4*o - 27. What is the lowest common multiple of o and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**9\/(o\/o**(2\/7))*o*o**9*o\/o**(-8)*o*o**(-7)\/((o**(-6)\/o)\/o)*(o**(5\/3)*o)\/(o*o*o\/(o**(3\/2)*o)) assuming o is positive.\nAnswer: o**(1321\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1585 + 220 = -95*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -5104?\nAnswer: -5102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + 5*b - 2. Let z be l(-5). Let x be (-3)\/(-2 - z\/4). Factor -4*n**5 - 3*n**3 + 3*n**4 - 2*n**5 + n**x + 5*n**5.\nAnswer: -n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {u: 12, t: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6709, 6728, 6747, 6766?\nAnswer: 6785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 1. Let m = -2 - l. Let s be -4*2*m\/6. Solve 4*z - 2*z - s = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 0.1, 1\/3, 3\/185, -5, 0.28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/4 + 617*k. Let c(d) = -423*d. Give b(c(f)).\nAnswer: -536787*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = -2*o, -2*o + 4*z + 15 = 7. Let y(m) = 9*m**2 - 6*m**2 + m**o. Let q(s) = -2*s**2. Give y(q(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o*o**(-3)*o*o**(-12)*o*o*(o**4)**25 assuming o is positive.\nAnswer: o**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 73 + 71 = 5*c - 11, -3*c - 3 = 32*t + 55 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*x - 7, -3*x + 0*x - 9 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-21)\/(-315)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -570, -559, -536, -495, -430, -335, -204, -31?\n\"Answer: v**3 + 4*v - 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -267 - 530?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 4 - y - 1. Let h be 3\/(2 + -5)*7. What is the remainder when d(h) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130260*-1.\nAnswer: 130260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 34*n + 32*n + 2 + 4*n**2 - 237*n**4 to a*n**4 + o*n**2 + m*n**3 + w*n + s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 9*i + 4. Calculate p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6611553 is divided by 6611363.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208817?\nAnswer: 7, 23, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1309 + -816. What is the highest common divisor of 29 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c. Let m(z) = -3*z. Let t(k) = -13*m(k) - 6*o(k). Calculate the remainder when 33 is divided by t(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122\/(-816) + (-7)\/(-4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/5)\/(h**(1\/32)\/h) assuming h is positive.\nAnswer: h**(219\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 <= 33051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 9:08 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1185)\/(-8058)*32\/100?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-12))\/((-6)\/(-384)). Let u be (3\/(-2))\/((-18)\/j). Solve 3*d + 8 = -2*b, -5*d + u*b = 10 + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -388 - -543. Is 40 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -73*m**3 - 4*m**2 - m - 2. Let z(p) = 221*p**3 + 14*p**2 + 3*p + 7. Give 14*v(d) + 4*z(d).\nAnswer: -138*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -37*m - 142. What is a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*a + n, -a - 623*n = -622*n + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5.6+161600\nAnswer: 161605.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose 0 = 3*c + 2*b - 23, -4*c - m*b + 4*b = -40. Let o be ((-1)\/(-2))\/((-1)\/(-2)). Calculate the highest common factor of c and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4449 - -2)*(-6 - 42\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 2*m - 6*m. Let d(h) be the third derivative of -7*h**4\/12 + 44*h**2. What is d(w(y))?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 10.928. Suppose 0 = 14*y + 9 - 9 + 14. Is w at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73074, 146129, 219182, 292233?\n\"Answer: -c**2 + 73058*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -522, -560?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -2, -4.\nAnswer: -4, -2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 6 = 6*b, 2*p - 789 = -777 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + 313. Suppose 5*p + a = 8. Let j be p\/(-28) + 2\/7. Solve 3*k + 12 = u, j*k - 2*u - 3*u + 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54834, -54819, -54802, -54783, -54762, -54739, -54714?\nAnswer: -54687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q - 52. Calculate the remainder when 37 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-616)\/(-140))\/((-792)\/720)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*s + 452 = 0, -3*r - 3*s + 1199 = -175. List the prime factors of r.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/15)*i)\/i**(-5))\/((i*(i*i**(1\/2))\/i)\/i**(13\/5)) assuming i is positive.\nAnswer: i**(247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11 + 2\/11*r**3 - 10\/11*r**2 + 16\/11*r.\nAnswer: 2*(r - 2)**2*(r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 234.3 + -852.5. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 4)*(110*q + 296*q**4 - 140*q**4 - 155*q**4).\nAnswer: -3*q**4 - 330*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:15 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 133804478 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*k**3*s**2 + 3*k**2*s**2 - 10*k*s + 3*s**2 - 6*s wrt k?\nAnswer: 528*k*s**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 52. Solve 0 = -t - d*h + 8, -3*t + h + 3 = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*((sqrt(176) + 0 - sqrt(176))*4*-5 - (1*sqrt(176)*-4 + 1)))**2.\nAnswer: -128*sqrt(11) + 11268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 + v - 1. Let s be w(0). Suppose -16*o - 4*k - 25 = -15*o, -k = 5. Which is the closest to s? (a) 0.5 (b) 3\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 19*w**5\/8 - 29737*w**4\/8 - 36467*w**3\/2 - 27860*w**2 - 11776*w + 1570 = 0.\nAnswer: -2, -1, 2\/19, 1570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5106)\/185)\/((-6)\/80). Let a = -260 + g. Is a a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 2. Suppose d + 3*g - 24 = -2*d, 0 = -4*d + g + 22. What is the units digit of b(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1948*g + 1570*g + 226*g - 515*g to n*g + l and give n.\nAnswer: 3229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49116, 98102, 147088, 196074, 245060, 294046?\n\"Answer: 48986*v + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -435*k**6 + 2*k**3 - 28*k**2 + 14 wrt k.\nAnswer: -52200*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 4836\/823?\nAnswer: 4836\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 - 10*t - 4. Let c be z(-7). Let w(s) = -s**3 + 21*s**2 - 12*s - 41. Is w(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259482.\nAnswer: 2, 3, 59, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-411)\/2*4\/15. Let y = -3681\/70 - w. Calculate the common denominator of 2\/4*(-122)\/(-2) and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216480 divided by 165.\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 22*d**2 + 4*d - 5. Let p(c) = 2*c**2 + c - 2. What is p(u) - z(u)?\nAnswer: -20*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1281, 4939, 11035, 19569, 30541?\n\"Answer: 1219*a**2 + a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 7*p + 11. Let s be l(5). Let f be (5 - (-27)\/(-33)) + -4. What is the smallest value in s, f, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6787 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/3 - 596*f**2\/3 - 3834*f + 13272 = 0. Calculate f.\nAnswer: -21, 3, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3893166, 7786341, 11679514, 15572685, 19465854, 23359021?\nAnswer: 27252186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300173*r + 300173*r - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5779*u**3 - 3*u**2 - u + 1. Let g be x(-3). Let o(j) = -22877*j**2 - 8*j - 10. Let h be o(-4). Let p = g + h. Round p to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 606.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00197725268 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26574 + -26574.000019574. What is g rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eleezeeeez?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -508 + 510. Find the second derivative of -53903 - r*n**4 + 53905 - 16*n + 2*n**4 - 31*n**5 wrt n.\nAnswer: -620*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7314, 7317, 7320, 7323, 7326, 7329?\n\"Answer: 3*l + 7311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -286 divided by 18729\nAnswer: -286\/18729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/105)\/(h*h*h*h**16*h*h*h))\/((h**(-2\/9)*h)\/h**(-26)) assuming h is positive.\nAnswer: h**(-15359\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 5*j**2\/2 - 9. Let d(y) = -3*y**2. What is m(d(l))?\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 202211212101122 (base 3) to base 12\nAnswer: 3863498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - w - 84, 4*w + 67 - 1 = -2*b. Let n be (-6)\/b + (-914)\/(-18). Which is greater: n or 50?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 37\/2*u - 1\/2*u**3 - 19\/2 - 17\/2*u**2 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Let m = h + -1. What is the lowest common multiple of -4*-1*(m + 2) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 632616 and 1476104.\nAnswer: 4428312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3265642?\nAnswer: 2, 1632821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.24267 decades in centuries?\nAnswer: 3.124267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-50) - 1\/(-10)*-5)\/(3\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -5*j + 909. Suppose h - 5*l - j = -4*h, -l + 214 = 5*h. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531883127 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**3 + 1577*k**2 - 254*k + 2380. Determine l(-263).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -45971480*w. Let c(t) = 9*t. Give c(q(o)).\nAnswer: -413743320*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - y + 444 = 0, 5*y = -x + 4*x - 244. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -8*u - 60. Solve 0 = -3*x - 3*s + 27, 2*x + 3*x = u*s + 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 37231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 + 7*w + 7. Let o be m(-7). Suppose -d + o = -2. Let l = -13 + d. Let t(q) = -2*q**2 - 4*q + 5. What is t(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -42*g**2. Let n(f) = 4*f**2 + 10*f**2 - 9*f**2. What is s(n(w))?\nAnswer: -1050*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122001 (base 3) to base 15.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.5 + 0.5. Let s = -2 - d. Let l = s - 6. Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23469, -46708, -69431, -91380, -112297?\nAnswer: -131924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1513 divided by -4\nAnswer: -1513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-36) - (-1 - 27\/12). Solve -2*s + n*b + 2 + 1 = 0, -s = -b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 4, -1\/5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3\/(-12)*2 + (-585)\/90?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/4)\/((-279)\/5022) - 3)*7\/105.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -6017976\nAnswer: 3610785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = -19*c - 376 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 3*o - o**3 - 4 + 3*o**2 + 1. Suppose -2*j + 3*q + 6 = -7, -2*j + 7 = -q. Suppose -5*v + 24 = h + 4, 25 = 5*v + j*h. Determine x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -47 - 45*p**2 + 0*p - 100\/3*p**3. What is the second derivative of x(y) wrt y?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1627 or -1632?\nAnswer: -1627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18582 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.466*-0.044.\nAnswer: -0.020504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.778.\nAnswer: -0.1556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.0335 litres in millilitres?\nAnswer: 499033.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 130.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 190 - -8735.136.\nAnswer: 8925.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j**3 + 2*j - 1. Let b be q(1). Let d(c) be the second derivative of c**5\/20 - c**4 + 7*c**3\/6 - c**2\/2 + 24*c - 2. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {z: 3, o: 12, n: 3, a: 2}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 551557983796 - 48576814748187753\/88072. Let q = u - -1\/11009. Calculate the common denominator of (-1)\/1 - (-6)\/(-22) and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 4:10 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 2202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-15) - (-20398)\/15. Suppose -6*k - 10*k = y. Let b = k - -89. Solve 0 = -b*i - 8 + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 92*o - 167. What is the remainder when x(5) is divided by 144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776 = 5*b - 8311. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16779 = -3*z - 1257. Let g = z - -37. Let p = g + -3650. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - u + 147, -3*b + 4*u + 46 = -69. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**5 - 6*p**4 - 9*p**3 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 2*f - 30*f**2 + 5*f**3 + 43*f**2 + 0*f to the form i*f**2 + m*f + l*f**3 + p and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 22 = 9*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131070196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*p = -114, -4*c + 2*p + p + 233 = 0. Let r = c + -58. Calculate the greatest common divisor of r and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 46*d - 242. What is the remainder when 1496 is divided by u(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -27.00000032. Round k to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*z = 26316, 5*z = -81 + 101. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*o - 8 = 0, y + 3*o + 2*o = 23. Suppose q = -2*q - y*q. Solve 5*w + 0*w = q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1434 + 1926. Let p = 2464\/5 - h. Suppose p*a - 1\/10*a**3 + 0 + 1\/5*a**2 = 0. Calculate a.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3446 + 3530. What is the greatest common divisor of v and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2 - 7184204*s + 6451598389202 = 0. Calculate s.\nAnswer: 1796051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 384971.1cm?\nAnswer: 3849711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (7 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1367 + 93.1367. What is the smallest value in -0.9, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100120200221 - 2120?\nAnswer: -100120210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n**2 + 2*n - 10. Let l(w) = -14*w**2 - 3*w + 11. Determine 4*c(i) + 3*l(i).\nAnswer: 6*i**2 - i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + ((-218)\/(-27))\/(-3 - 11\/(-15)*5).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.911 + 0.901. Let s = -0.2 + -0.3. Which is the second smallest value? (a) d (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -2)\/(9\/(-2)). Let z = 0.83 - 0.53. Let y = -361 + 361.2. Sort z, y, l in decreasing order.\nAnswer: l, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3139000 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1 - 76489*a**2 - a**3 + 76481*a**2 + 10 - 14*a. Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:17 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {e: 4, g: 7, m: 2}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -26, -82, -222, -476, -874, -1446, -2222?\nAnswer: -3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.828 + -0.272. Which is the third smallest value? (a) n (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, b: 7}. What is prob of sequence bbb?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 7 - 4*h**2 - 2*h**3 - h + h to the form q*h**3 + a*h + k*h**2 + b and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 824\/(-52) + (-2)\/13. Let z be (d\/(-40))\/((-21)\/15). Which is the closest to 1\/9? (a) 2 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34384*n**2 + 89*n - 129.\nAnswer: -68768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2 = -b, 0 = -5*d + 2 + 23. Let q be 63\/(-27)*-9 + 6. Let v = b + q. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8064814, 8064862, 8064910, 8064958?\n\"Answer: 48*p + 8064766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -4\/2143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**3\/3 - 2*i**2 + 7*i. Let b(z) = 6*z - 11. Give -4*b(a) + 11*x(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9269.\nAnswer: 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, -1, 3, -55941 in increasing order.\nAnswer: -55941, -350, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 - 2*x**3 + 20*x**2\/3 + 8*x - 64\/3.\nAnswer: -(x - 2)**2*(x + 2)*(x + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/20 - 11*p**3\/15 + 16*p**2\/5 - 28*p\/5 + 241. Factor l(y).\nAnswer: (y - 7)*(y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19774*p + 312*p + 17977*p - 4792*p to the form i*p + z and give i.\nAnswer: 33271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = z + 360. Suppose z*v = 2273 + 343. Calculate the smallest common multiple of 4 and v.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33879, -67760, -101641, -135522?\n\"Answer: -33881*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4) - 0)\/((-3)\/619134). Let g = d + -401811. 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: Let m(r) be the first derivative of -r**7 + 2*r**3 + 1. What is the third derivative of m(t) wrt t?\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 523238315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**9\/1512 + x**8\/210 - x**7\/84 + x**6\/90 + 4*x**3\/3 + 12*x. Let u(r) be the second derivative of m(r). Factor u(h).\nAnswer: -2*h**2*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(162)*2 + 2)*5.\nAnswer: 10 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 31254000 to the nearest one hundred thousand.\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Suppose m = 2*i - m - 22, 36 = 4*i + w*m. Let d(a) = -3*a - 6. Let r be d(-3). Solve 0 = -k + r*k + i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + 24*f**2 - 11*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*1*25\/(-10). Let f = 16 - u. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y - 85*y**2 + 84*y**2 + 1 + 66*y.\nAnswer: -y**2 + 120*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3890.77574 rounded to the nearest 10?\nAnswer: -3890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 + 0*s**2 - 2*s**2)*(-3 + 3 - s)*(-2 + 4 + 1).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -30 + 8 + 1 + (-4 - (3 + 5))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2) - (-5)\/2. Let n be s\/1 + (3 - 1). Solve -k + 8 = -3*p, n*k = -5*p + 3*p + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136370 is divided by 1150?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -1\/5 (c) 470953 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 314898672.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 85116.9557 to the nearest integer.\nAnswer: 85117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -382\/97?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-3) + (-2)\/3. Let z(x) = 1 - 10*x - 8*x + 20*x + 6. Let t(p) = 3*p + 8. Let k(q) = j*t(q) - 6*z(q). Differentiate k(y) with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-8.563\nAnswer: -8.563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-10)*(0 + -10). Suppose q*u + 9 + 26 = 0. Let f = 11 + u. Solve -3*o - 7 = -f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + 2*g**4 - 2*g**4)*(3*g - 3*g - g) + 7193*g - 7193*g + 496*g**5 + 2*g**5 - g**4 + g**4 + (g**2 + 4*g**2 - 3*g**2)*(4*g**3 - 4*g**3 - 2*g**3).\nAnswer: 492*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -713\/1646092 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-29))*(i\/(i**(-21)\/i))\/i assuming i is positive.\nAnswer: i**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 3*w - 12*w**3 - 5*w**3 + 91*w**3 - 26*w**3.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*a = 336*a + 7775 + 1675 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-35)*(8 - (-390)\/(-45)). Suppose -13 = -4*a + 5*k, 5*a - 5*k - 8 = 7. Determine n so that f*n**a + 10\/7 - 12\/7*n = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+39975\nAnswer: 39979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26038645877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/168 - (-2 - (-15593)\/36). Let u = n + 432. What is the closest to 1 in -2, -5, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 - (-1 + 2). Let x be k*(0 + (2 - 2)). Solve -30 = 5*r + 5*i, x = -2*i - 3*i - 25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.214 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15\/118 - -249\/826. Let q be 3\/(-2)*(-4)\/(-3). Let z = -14 + 10. Which is the third biggest value? (a) q (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -60 + 54*b + 63 - 51*b. Let k(q) = 3*q + 2. Suppose 0 = -0*p + 4*p - 16. Give p*f(s) - 5*k(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.30000006 - -0.3. Round k to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -71. Is (n\/7)\/(42\/(-1911)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 3*o**2 - 2. Let j be x(-2). Let d(s) = -s**3 + s**2. Let h be d(j). Which is the nearest to 0.2? (a) h (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:31 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6529, -6535, -6537, -6535, -6529, -6519, -6505?\n\"Answer: 2*r**2 - 12*r - 6519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*h - 106*h = 123*h - 121912. Calculate the highest common factor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyygxyzzyzzybyyyzqy. What is prob of picking 2 z?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2809384 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4*16\/(-24). Let v be ((-6)\/20)\/(2\/(-5)). Let x be ((-4)\/2 - 52\/(-28))*3. What is the closest to d in x, -5, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 7*x - 4*x)*(5 + 0 - 1)*(-2 + 3 - 2).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 148*j**2 + 2*j - 17. Calculate c(-2).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3849*p - 61*p**2 - 3844*p - 1 + 7694*p as u*p**2 + g*p + c and give u.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -11, -10, -11, -14, -19, -26?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1.285.\nAnswer: -0.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i - 4. Let w be (-1)\/i - 70\/25. Sort w, -5, 2.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.88 and -20.\nAnswer: -37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11010111111001101?\nAnswer: -11010111111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 0. Suppose 4*n = 5*d - 1, d - 4 = -3*n - 0. What is the nearest to 0 in -5, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 3 + 3)*(0 + z + 0) + 0 + 0 - z**2 - 520 + 520 - 333*z**2 to i + y*z**2 + b*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -288*h + 288*h - 26*h**5 + (4*h - 7 + 7)*(2*h**4 - h**4 + 0*h**4).\nAnswer: -22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375299689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 301 and 0.02?\nAnswer: 6.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 13*s - 10. Let q(k) = k**2. Let g(v) = p(v) - 2*q(v). What is the least common multiple of g(-10) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 233\/148 and -17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2*a**3\/3 - 5*a**2 - 87*a + 14. What is the tens digit of k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.75 + 0.25. Which is the closest to -2? (a) o (b) -4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 1. Let z(o) = -20*o**2 - 10. Determine -10*b(i) - z(i).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*v + 10. Suppose w - 125 = -20. Let s be ((-2)\/20)\/(1 + (-111)\/w). Is s <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 9*o**3 + 2 + 4*o**2.\nAnswer: 9*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10*(3 + 2) + 49. What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j - 8 = -19*j. Let d be -1 + (8 + j)\/4. Let o = -0.2 + 0.7. Which is the smallest value? (a) -1\/7 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-136 - -3) + 1*-1. Let i = j + 222. Let b = 20 - 9. Calculate the greatest common divisor of i and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-21) - 81\/21. Let z(n) = -11*n - 8. Is 8 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuusuusuuu. Give prob of sequence su.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 2, d: 1, f: 3, e: 2, h: 10}. What is prob of sequence cce?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4))**(1\/12)*o\/(o\/o**17*o*o)*(o\/(((o\/o**(-19))\/o*o)\/o))\/o assuming o is positive.\nAnswer: o**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -4 (c) 6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 1:35 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-8))\/(6\/4296) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:24 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5)\/l*l**(5\/4))\/((l\/l**(-19\/5)*l*l)\/l*((l\/(l\/(l*(l**11\/l*l)\/l)*l))\/l)\/l))**(-20\/7) assuming l is positive.\nAnswer: l**(279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)*f*f**(3\/5))**(2\/71)*(f**(1\/3)*f**5\/f)\/(f**(-1\/13)*f\/(f\/f**(2\/3)*f)) assuming f is positive.\nAnswer: f**(463313\/96915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2116 + -1169. Let y = m - 632. Let h = y - 315.000127. What is h rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*7)\/((-14)\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t**2 - t + 3. Suppose 4*u + 3*m - 39 + 16 = 0, 5*m = -u + 27. Let q(f) = -f**3 + f**2 + 1. Let n(s) = u*h(s) - 4*q(s). Factor n(o).\nAnswer: 2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23546*t + 11773*t + 11781*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 12) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*m + g, -2*m + 4*g - 6 = m. Let i(r) = -6*r**2 - 6*r + 3. Let x(f) = 7*f**2 + 7*f - 4. What is m*i(q) - 5*x(q)?\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6eac + -80?\nAnswer: 6e2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2582 (base 13) to base 8\nAnswer: -12341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 2\/15 (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 - 39*f**2 + 28 + (-2*f + 6*f + f)*(-6*f + 5*f + 0*f) + 0*f**2 + 2*f**2 + f**2.\nAnswer: -41*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -409 and 341611 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -15\/2. Suppose -p + 5*y = -26, -2*y = 2*p - 0*p + 8. Put w, p, 1\/3 in increasing order.\nAnswer: 1\/3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 8*a**2 + 23*a + 30. Let l be m(-4). Find the third derivative of -117*h**5 - 54*h**5 + 198*h**l + 71*h**5 - 52*h**5 wrt h.\nAnswer: -9120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 13. Let l(j) = 6*j + 34. Let h(k) = 3*l(k) - 8*o(k). Let c(w) = w**3 + w - 2. Give -3*c(g) + 2*h(g).\nAnswer: -3*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from tgmcvgg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, q: 3, h: 6}. Give prob of sequence llq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 27. Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11855*m**2 - 5306056 + 3*m + 5306051 - 3*m + 11840*m**2.\nAnswer: -15*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 1, g: 1, z: 3}. Give prob of sequence ti.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259, 264, 267, 262, 243, 204, 139, 42?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(252) - (sqrt(252) + sqrt(252)*-1)) + -5 - sqrt(252)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71860.2005765 - 27?\nAnswer: 71833.2005765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let h(t) = t**2 + 7*t. Let o(i) = -3*h(i) + 21*x(i). Let c(r) = 10*r + 1 - 1. Give o(c(g)).\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/54)\/(((-4)\/(-4))\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -334, -326, -318?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4780344402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3199.378544 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 37*u**2 - 253*u - 715. Give b(-3).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7874?\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 18*y = 30, -j + 37 = -5*y. Solve 4*c - q = j - 31, c = 5*q - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12 = 16*b. Is (-4 + b)\/(10\/(-930)) a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.28 - -0.5. Let n = x + 0.092. Let v = -0.155 + n. Round v to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/308205 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**5\/60 - k**4\/24 - 3*k**3\/2 + 4*k**2. Is i(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 27 - (17 + -1 + -13) - -9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - -101011000?\nAnswer: 101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = f + 5*k, 297*f - 311*f - 3*k = 1912. Is f less than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**2\/2 + m + 26. Let o(n) = -7*n**3 + 5*n + 5. Let d(p) = p**2 - 6*p - 77. Let r be d(-6). Determine r*j(g) + o(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 5 + 1 + (-3328)\/(-208)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476\/(-42)*210\/(-20).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/3 (c) -7 (d) 6.71 (e) 4 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, a: 6}. Give prob of picking 1 a and 2 j.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.6, -2\/59, -2\/3.\nAnswer: -2\/3, -2\/59, 13.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 4225 and 4224 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apcfpakkcfkfk. What is prob of picking 1 p, 1 k, and 1 a?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936908?\nAnswer: 2, 7, 33461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14013, 56040, 126063, 224076, 350073, 504048?\n\"Answer: -v**3 + 14004*v**2 + 22*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 11*j - 107. Let k be q(-7). Suppose 89 + 272 = -k*c. Let f = 7 + -2. Put -1, f, c, 2 in increasing order.\nAnswer: c, -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 smaller than 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -279076, 3 in ascending order.\nAnswer: -279076, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-30))\/((-1)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845286.7g in nanograms?\nAnswer: 845286700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 0*r - 2*r)*(4 + 2*r**3 - 4) + 0*r + 0*r + 3*r**4 + (-5*r**4 - r**4 + 4*r**4)*(-3 - 2 + 3) + 2*r**4 + 3*r**4 - 4*r**4.\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvvv when four letters picked without replacement from vjvvvvvjjvvvvjvvjvvv?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398287?\nAnswer: 398287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68927.\nAnswer: 68927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 5274.\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.01.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4928 - 4927. What is the second smallest value in -10.7, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3694.99391 times 0.1\nAnswer: -369.499391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/10*4\/30?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(9) - sqrt(864)*3)\/(-3*(sqrt(2) + sqrt(128))*5*5).\nAnswer: 34*sqrt(3)\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8488?\nAnswer: 8488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*56\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 214*g + 5094. What is the least common multiple of 200 and s(-21)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - i**4 + 4*i**2 - 6*i**2 - 3 - 2*i**3 + i**2 to x*i**2 + o*i**3 + j + r*i**4 + m*i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2192, 2295, 2398, 2501?\nAnswer: 2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.4503mg to micrograms.\nAnswer: 208450.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (sqrt(931) - -6*(sqrt(931) - (sqrt(931) + 2)) - (sqrt(931) + sqrt(931) + (sqrt(931) + -2 + sqrt(931))*3)) + -4)**2 + -3.\nAnswer: 882*sqrt(19) + 45694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 12*j - 2*j - 1 in the form a + f*j and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 742151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 12) in base 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4764747889435 + 0.17.\nAnswer: -4764747889434.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) 6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (16 + -10 + (-3 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 1, 0.1, 11\/2, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*(68\/(-16) + 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1480*p**3 + 735*p**3 + 735*p**3 + 562*p**2.\nAnswer: -10*p**3 + 562*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhthtibhn. Give prob of picking 1 b and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 273, 236, 201, 168, 137, 108?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3)*(0 + -9). What is the smallest common multiple of (3 - m)*1*30 and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) + 3*sqrt(324))\/sqrt(12))\/(sqrt(27)\/(sqrt(3)*3)).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*h - 34 = 0, -45*k + 18*k = -30*k - h + 23 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 2*q. Let u be (6\/(-5))\/(q\/10). What is the units digit of 10*(-3)\/u + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 2, -3750, -1, -2, 4 in decreasing order.\nAnswer: 4, 2, -1, -2, -3, -6, -3750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/2)*n**1)\/(n**(-3)*n*n**(1\/2)*n) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.38617587 + 10.838176109. Let v = h + -0.452. Round v to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20 - 17)*4\/(-2). Sort -4, -2, h in ascending order.\nAnswer: h, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/1 + (1 - 2). Suppose 4*z - 32 = -f*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.39 - -0.01. Suppose -2*n + 41 = 5*r + 15, -2*r = n - 11. Suppose 2*z - 2 = r. Which is the closest to -1\/4? (a) x (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 3*i)*(0*i**3 + i**3 - 2*i**3) - 2*i**4 + 2*i - 2*i + 14*i - 14*i - 32*i**4.\nAnswer: -31*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 2\/19, 3, 9 in descending order.\nAnswer: 9, 4, 3, 2\/19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*l + 9 + 27, -5*l - 20 = 0. Suppose -v*m = -m - 16. What is the second derivative of -5 - 2*h + 5 - 2*h**m wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + 2*l)*(2 + 6 + 2)*(-2*l + 2*l - l).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14354 times 0.2\nAnswer: -2870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2456 and 44822?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 - 1 + 6*q + 14*q**2 - 20*q**2. Let r(x) = -x**2 + x - 1. What is -i(w) + 3*r(w)?\nAnswer: -2*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppvpvpvpvvvppvpvvpv. Give prob of picking 1 p and 1 v.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111111011101101101010 (base 2) in base 5?\nAnswer: 2032123441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, -3, 1, -1901 in ascending order.\nAnswer: -1901, -5, -3, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 5.\nAnswer: 306\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 146 + k**3 - 140 + 5*k**3 + 10*k**3 + 0*k**3 - k**3 + (0*k + 2*k**2 + 0*k)*(2*k + 0*k - 3*k) in the form h*k**2 + m + x*k**3 + r*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*536.\nAnswer: 107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 60. Suppose -10 = -3*r + 32. Suppose -3*b = -g - b + r, 0 = 5*g + b - 81. What is the remainder when y is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 279 = -171 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35364 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 19*n + 25. Let a = 98 - 88. Is q(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23\/105 + 2\/105. Let s = -18 - -18. Put w, 1\/3, s, -3 in decreasing order.\nAnswer: 1\/3, s, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-3 - 5 - (-8 - 1 - -5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5120*l**4 - 252*l**3*q + 369*l**2 + 42*q wrt l?\nAnswer: 122880*l - 1512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20337025 (base 8) in base 5?\nAnswer: -2100333001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 74*d**2. Let z(s) = -1457*s**2 + 2889*s**2 - 1437*s**2. Give p(z(x)).\nAnswer: 1850*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 5. Find b such that -6*b**3 - 1 + 0 - 3*b**4 + w*b + 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + k - 4 = 0, -2*f + k - 20 = 2*k. Let x(d) = 3*d**2 + 6*d - 17. Let b be x(f). Suppose a + 96 = y, 2*y - b - 62 = 3*a. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/44*(-6 + 6 + -4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 720710*f. Let v(z) = 4*z**2. Give b(v(q)).\nAnswer: 2882840*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6\/5, 2 in increasing order.\nAnswer: -6\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -55. Let m = 1.9 - -0.1. Which is the closest to m? (a) -0.1 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 + 5*a - 3*a**2 - 6 - 6*a**2. Let m be v(-7). Suppose 3*c + 10 = m*c. Solve -c*w + 0*w = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 1, -0.2, -59, -118\/141?\nAnswer: -118\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.972865 meters in centimeters?\nAnswer: 497.2865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.61 take away -3?\nAnswer: -52.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 921 divide 167311313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465 and 103044.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526554194?\nAnswer: 2, 227, 1159811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - m**2 + 3*m + 3. Suppose -5*p - c + 4*c = -55, c = 2*p - 23. What is the remainder when p is divided by g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*x**3 - 308*a**3*x**2 + 19*a**2 + 1515250*a*x**3 + 3*x**3 wrt a.\nAnswer: 18*a*x**3 - 1848*a*x**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1975 + -1974. Let g = -2 + 5. Suppose -4*r = g*b - 24, 0*b - 22 = -4*b - 2*r. Put n, b, 5 in ascending order.\nAnswer: n, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(187)*-1 + sqrt(187) + -4*sqrt(187)*1)\/((-2*sqrt(33)*6)\/((sqrt(33) + (-2*sqrt(33) - sqrt(33)))\/sqrt(11))).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420308636 is divided by 2053.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -3\/4*z**4 + 0*z**3 + 0*z - 1\/15*z**5 + 0 - 5*z**2. Find the second derivative of h(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 - 10*k + 200. Determine n(10).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -735061, -1469541, -2204017, -2938489, -3672957, -4407421, -5141881?\nAnswer: -5876337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17\/f**(3\/10) assuming f is positive.\nAnswer: f**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 24*l**2 - 25*l + 620. What is c(24)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/(78\/(-91))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**4 + 3*b**2 + 1574*b + 196364?\nAnswer: -8*b**3 + 6*b + 1574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8488809.\nAnswer: 3, 7, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 237078683?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 29 + (-23 - -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t - 0*t. Let v = t + 5. Let w(l) = -l + 4. Let m be w(v). What is the greatest common factor of 36 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**4 - 111*n**3 - 5*n - 78. Let x(g) = 24*g**4 - 443*g**3 - 21*g - 316. Let j(h) = 9*t(h) - 2*x(h). Find the second derivative of j(m) wrt m.\nAnswer: 72*m**2 - 678*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0519 * -38.\nAnswer: 1.9722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j**3 + j**2 + j - 2. Let c be h(1). Let q(x) = -x**2 + 1. Let m = -3 - -10. Let r(v) = -1 + 8*v**2 + 0 + 3 - m. Determine c*q(f) - r(f).\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19148*i**2*y**2 + 24*i**2*y + 435199*i**2 wrt y.\nAnswer: 38296*i**2*y + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 86 = -7972*h + 7963*h, -3*h = -r - r + 40 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -2*z**7\/7 + 3*z**5\/20 - 3*z**4\/2 - 2*z. Find the third derivative of a(x) wrt x.\nAnswer: -720*x**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((1 - -1 - 2) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/4)\/(40\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + s + 28 = 4, 2*s + 8 = 0. What is the third smallest value in -2\/5, -0.3, -4, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (66 + -65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*y - 12056 + 5816 = 0 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:29 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*v - 1263 = 0, -v + 312 = 3*r - 621. Suppose -2*p = -6*p + r. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 minus -8819108.78?\nAnswer: 8819109.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-70))\/((6\/(-21))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) -0.2 (b) 1551 (c) 0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1721 + -1732. Put 5, a, 143, -4 in ascending order.\nAnswer: a, -4, 5, 143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/175 + 762\/150. Suppose 5*n + 4*f - 9815 = 0, -15 = v*f + 10. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101 - -11001000?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16870 and 7894.\nAnswer: 66585890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 + 32*k**2 + 106*k + 148. Determine g(-6).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let i(f) be the third derivative of f**5\/60 + f**4\/24 + 3*f**2. Let t be i(0). Does a = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - -21120101002?\nAnswer: 21120100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5766 (base 9) to base 11\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - 0.71. What is the third biggest value in 0.6, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 14, j: 4}. Give prob of sequence vv.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5376 - 3?\nAnswer: -5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 27468925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 558666280*m - 39013501551129800.\nAnswer: -2*(m - 139666570)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 19 - (0 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6 + 26*f**3 - 28*f**3 - 5 + 9. Let r(s) = -2. What is -10*r(p) - 2*t(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 11) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2\/9 - 71500*r\/9 + 71504\/9 = 0. Calculate r.\nAnswer: -17876, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 7*j - 1151. Suppose 9*k + j = 14*k. Let s = 55 + k. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let x(f) be the second derivative of 181*f**4\/12 - 175*f. Give s(x(z)).\nAnswer: -181*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -24363541?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*y + 13*x - 16*x - 387, 0*y = -0*y - 4*x + 16 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5079, 36587, 121013, 284817, 554459, 956399?\n\"Answer: 4410*k**3 - k**2 + 641*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 272?\nAnswer: 26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 1. Let g(t) = -t**2 - 7. Let v(h) = -g(h) + 6*x(h). Differentiate v(j) wrt j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8285858089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 245399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*-3 - -1*3\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w + 54*w + 56*w**3.\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - t + (-2 - 1 + 2)*(t + t - 4*t) + 0*t + t + t + 3*t - 5*t + 0*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 10*a + 6. Let m(t) = -t**2 + 10*t - 6. Let y(q) = 4*k(q) + 6*m(q). What is the lowest common multiple of y(9) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -148\nAnswer: 19\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.661906 years in months?\nAnswer: 31.942872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22336 (base 8) to base 9\nAnswer: -13846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 16. What is the remainder when -176*(-20 + 234\/12) is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 191 - 194 = 2*v, 3*g - 5*v = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 7*i**3 + 6*i - 1 + (-2*i**2 + 0*i**2 + i**2)*(2 - i - 2) + 2*i**3 + 2*i**2 - 2*i**2 in the form x*i**2 + u*i**3 + z + k*i and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-484)\/16))\/(54\/(-2376))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4193\/17803 or 1?\nAnswer: -4193\/17803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -751, -1495, -2229, -2947, -3643?\n\"Answer: u**3 - u**2 - 748*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 40 = -6*r. Which is smaller: r or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3150 = 400*b + 470*b - 744*b for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, 8, 1, -133?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 607 + -74. Let b(t) = o - 6*t - 533. Let k(y) = -17*y. Calculate b(k(q)).\nAnswer: 102*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 8:06 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.62 - 2.62. Which is the third biggest value? (a) -2 (b) 7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21667 = -289*w - 57*w - 38315 - 22104 for w.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 20. Let f be c(20). Suppose -4*b + y = -10, -4*b + f*b - 3*y = -18. What is the greatest common factor of 7 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**3 + u**2 + 3*u + 2. Calculate the remainder when l(3) is divided by 14484\/(-1136)*16\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 + (-6)\/(-30)*10 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -18*g - 17. Let y(j) = 24*j + 17. Let k(r) = -5*c(r) - 4*y(r). Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 13*v**2 - 15*v - 39. Is q(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5 times -262?\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -62. Let l = -19 + h. Let n(t) = 2*t - 7. Is n(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h**2. Let q(s) = -4*s**2 - 3*s - 3. Let l(x) = -7*x**2 - 4*x - 4. Let j(k) = -3*l(k) + 4*q(k). What is r(j(i))?\nAnswer: 550*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 2. Let q be u(2). What is the biggest value in 1\/5, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-16.448.\nAnswer: -82.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, j: 6}. Give prob of sequence jjjj.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 29, 72, 141, 242, 381, 564?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8658)\/(-5291))\/((-6)\/88).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (69 + (-2 - (-22 - -5)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -65. Let j(c) = -c**2 + 5*c + 5. Let x be j(5). Suppose -5*q + 0*q + 3*u + 604 = b, x*u + 15 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 115, 101, 81, 55, 23?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 420?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 72. Let x(c) = -c**3 + 4*c**2 + 5*c - 11. What are the prime factors of x(o)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 1\/6*z**3 + 21*z**2 + 0*z**5 - 53*z + 0 - 1\/15*z**6 - 7\/3*z**4. Find the second derivative of y(t) wrt t.\nAnswer: -24*t**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2071, 2210, 2355, 2506, 2663?\nAnswer: 2826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 6*m + 504 = 46*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/2 + 1\/4*b**2 - 91\/4*b.\nAnswer: (b - 90)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309\/17 + -2773\/204. Let r = 296483\/410040 + -11\/2680. Let d = r - 11791\/2142. Find the common denominator of d and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 383 - 376. Let x(a) = -4*a + 7. Give x(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:18 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r + 530. Let f(z) = -7*z. Give f(i(w)).\nAnswer: 14*w - 3710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.03569 * 0.4\nAnswer: 0.014276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35583413 - -23?\nAnswer: -35583390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -13. Let o = h - 20.4. Let w = -5 + 0. Sort -2, o, w.\nAnswer: w, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmiiiimmmmmmmmmmmmmm. Give prob of sequence mmi.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/4 + 19*u**3\/4 + 99*u**2\/4 + 81*u\/4 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 - 3*v + 1. Let c be x(3). Let k be (c\/3)\/(2\/24). Solve -2*b - 25 = 3*b - k*u, -2*b - 10 = -3*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.89303 - 4.\nAnswer: -4.89303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5415390 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12983\/7 + 1860. Which is smaller: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/4 - 0 - (2 + -5). Suppose 0 = -5*x + j + 3. Solve 4 = -x*y + 4*m, m + 2*m = -5*y - 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(-3*(1 + sqrt(931)) - (6*(sqrt(931) + sqrt(931)*1 + sqrt(931) - sqrt(931)) - sqrt(931)))**2*5 + -1.\nAnswer: 23520*sqrt(19) + 7299399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a**3 - 3*a + 5*a - 8*a**3 + (-1 + 2*a + 1)*(11*a + 2*a - 2*a)*(-a - 3 + 3).\nAnswer: -19*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b26 (base 13) in base 7?\nAnswer: -250422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -359 - -697. Calculate the greatest common divisor of r and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + o. Let n(x) = x**2 - 5*x. Let y(i) = -n(i) - 3*z(i). Let k be y(3). Suppose -3*s + k = s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 29. Suppose 5*m - 2*a - 30 = m, -h*m = -4*a - 18. Solve -2*w + m = -y, 6*w + 21 = 2*w - 5*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24968, 49946, 74924, 99902, 124880?\n\"Answer: 24978*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 216 + -86. Let z = h - 124. Let i(u) = u + 25. Calculate the remainder when 184 is divided by i(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 183\/27 + -3. Let r be 4\/(-12) - 19\/(-3). Let y be (6 - r) + (-4)\/(-18). Which is the closest to 1\/5? (a) y (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605139614?\nAnswer: 2, 23, 13155209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjw when three letters picked without replacement from {i: 2, y: 4, j: 2, x: 1, b: 4, w: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 728, 1567, 2736?\nAnswer: 4235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15696 divided by -3?\nAnswer: -5232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19063 + -10925. Calculate the remainder when v is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5563 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 19 + 5 = -2*s, -3*s = t - 1. Let w be (15\/(-3) + 2)\/s. Let q = 18 + 5. Solve 0 = -4*r - r - 4*j + q, w*j = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 1:43 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sesjkjjajejkssujss?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -216384348325.17 and 1.\nAnswer: -216384348324.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116632 times -0.2?\nAnswer: -0.0233264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2 - 2 + (1 - 1 + 3)*(2*g + 0*g - 3*g) + (2 - 5 + 2)*(-3*g - 3*g + 4*g) + 3*g - 1 + 1.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1091 - 1039 = -13*q. Let g(r) = r - 9. Let n(i) = -i + 9. What is q*n(o) - 5*g(o)?\nAnswer: -o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939 = -2828*z + 2749*z - 404 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.89 + 2.09. Put 2\/3, -5, -2\/5, s in ascending order.\nAnswer: -5, -2\/5, s, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 1:59 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232789960 and 14325536.\nAnswer: 931159840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (6 + 4 + -1 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - 0. Let l be (-3 - -4)*-3 + 2. Let g be (-5)\/(-20) + (-1 - l). What is the nearest to -0.1 in y, -1\/5, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06048468 and -0.02.\nAnswer: 0.04048468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -2271596\nAnswer: 2271596.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 5. Let n(d) = -8*d + 16. Let m(k) = -k + 2. Let t(g) = -40*m(g) + 6*n(g). What is -5*t(r) + 16*u(r)?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.03 (b) -2\/9 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 10:39 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.91 (b) 54655 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c - 1\/175*c**7 + 0 + 0*c**3 + 3*c**2 + 1\/40*c**4 + 0*c**6 - 1\/560*c**8 + 1\/50*c**5. Solve h(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16084224.\nAnswer: 2, 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-80)\/(-840)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/108*-4)\/(68\/22644)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 1017109, 0, -2 in descending order.\nAnswer: 1017109, 0, -2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n + 3*n + n)*(-4*n + n + 2*n) as z + x*n**2 + s*n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 2:36 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.984 + 0.016. Let a = 20.9 - 21. Let r = a + 2.1. What is the third biggest value in r, -2\/5, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*v - 375 + 7. Is ((-22)\/(-8) - 12\/v) + 100 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 3127*y**5\/5 - 3296*y + 3068. What is the first derivative of w(x) wrt x?\nAnswer: 12508*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/20 - 5*g**3\/6 + 2*g**2. Let z be a(4). Suppose -2*s = -z - 151. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z + 14*z**2 + 5*z + 4*z**3 - 15 + 1 - 6*z**2 - 9*z**2 in the form i*z**2 + f*z + l + b*z**3 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - 7785020319.1.\nAnswer: -7785020305.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 16 = -5*g. Is (-27)\/18 + (-818)\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/20 - y**4\/6 - y**3\/2 - y**2\/2 + 2*y. Let j = -260028 - -260041. Calculate the remainder when j is divided by f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 4\/30*(-2870)\/(-84)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/121, -3\/11, 4, 0.1 in ascending order.\nAnswer: -3\/11, -3\/121, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 1\/5*c**2 + 9\/5*c.\nAnswer: (c - 1)*(c + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*l*m*v**3 + 24*k*l*m - 2*k*l*v**2 + k*l - 22*k*m + 10533*k*v**2 - v**3 wrt m.\nAnswer: 2*k*l*v**3 + 24*k*l - 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:19 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*o = 3*m - 32, m - o + 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(384\/45))\/(-3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110000 - 111011000101?\nAnswer: -110110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaat when four letters picked without replacement from aaataattaaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 3*f**2 - 5*f + 4. Give t(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 10*m**2 + 1. Suppose 2*w + 4*j = 12, -4*j - 30 = -5*w - j. Let c(q) = -q**3 + 7*q**2 - 5. What is the remainder when c(w) is divided by p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6719438.\nAnswer: 2, 11, 43, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 9*z - 21. Let a be x(-4). Let i = 82 + a. Suppose -3*c = h - 97, 0*c - 3*c + 92 = 2*h. What is the remainder when i is divided by c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -942*n + 942*n + 5694*n**2 - 3374*n**2 + 10825*n**2 as w*n + t + x*n**2 and give x.\nAnswer: 13145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5977100.\nAnswer: 2, 5, 59771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 3129 + 139*a**2 - 5000.\nAnswer: 139*a**2 - 8030","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -5, -615.2, 1088?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 9:18 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -5. Let 0*a - r*a**4 - 6*a**3 + 16*a**4 + 0*a + 4*a**2 = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + c = -c + 478, -236 = -y - 4*c. Find the common denominator of (-101426)\/(-29133)*(-2)\/4 and (-1298)\/y - 1\/(-5).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502843 is divided by 605.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*104\/(-39).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d + 4*d**2 - 24*d - 26*d + 102*d - 21*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wii when three letters picked without replacement from wiiwi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1960) + (sqrt(1960) - ((2*sqrt(1960) + sqrt(1960))*-2 + sqrt(1960))))\/(1*(sqrt(1152) + sqrt(1152)*4)).\nAnswer: 49*sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 305523*b**4 + 3*b**3 + 606306*b**2.\nAnswer: 7332552*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -78. Suppose x - 1 + 2 = -4*a, -x = -a + 1. Let c be 243\/(-24)*-1 + (2 - x). Are k and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179712 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 2*z + 23*z + 19*z + 33 - 10*z. Let a be d(-29). Put 7, a, 2, -4 in decreasing order.\nAnswer: 7, a, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1. Let j(u) = 50*u**2 - u + 1. What is -2*j(f) + 2*n(f)?\nAnswer: -100*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 173 = -4*f, 100 - 5 = -11*b + 2*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -23*w - 405*w**3 - 729*w**2 - 25\/2*w**5 - 225\/2*w**4 + 0. Find r such that u(r) = 0.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40147?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/9)*u\/u**(-4)*u*(u\/(u*u*u**5*u*u))\/u*u*u**(-4\/9))\/((u**(-6)\/(u\/u**(2\/15)))\/(u*u\/u**(-5\/2)*u**(-2))) assuming u is positive.\nAnswer: u**(733\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26301749331 and 7.\nAnswer: 26301749338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = -x - 15, 4*a + 74 = -3*x. Let r be ((-4)\/(-8))\/((-3)\/x). Solve 0*k = -4*i - 2*k - 30, i + 20 = -r*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341124668 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + (-4 - -5) + -3. Let x be (-3 - -2)*(-44)\/b. Let o be x\/((-6)\/3) - 0. Solve -v - o = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 76335.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -68120 rounded to the nearest one thousand?\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/186 and 16\/1486827?\nAnswer: 92183274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 4}. What is prob of sequence xe?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*c - 23 = q, 0 = 5*q + 3*c - 28. Suppose -4*y + 18 = -2*h, 2*h - h = -1. Solve q = 3*u - b, -y*u - 5*b = -3*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308.5 + 312. Let p = u - 3.50937. Round p to four decimal places.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3926, 4008, 4334, 5024, 6198, 7976?\n\"Answer: 20*x**3 + 2*x**2 - 64*x + 3968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p - 41*p + 4 + 18*p + 16*p. What is j(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (52\/(-910) - 6411\/(-105) - (-6)\/1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*4*(-5)\/(-10)*2. Solve -h*z - 4*d + 12 = 0, 0 = -3*z + 3*d - d + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 369*j - 8500. What is p(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8702 - -112161. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 5*g - 2. Suppose 3*b + 5 + 1 = 0. What is the remainder when c(4) is divided by (-2)\/b - 0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -486?\nAnswer: -5346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*t + 2*t. Suppose -3*g + 1 = t. Is (273\/6)\/(g\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 147*i**2 + 13\/4*i**3 + 135\/4*i.\nAnswer: i*(i - 45)*(13*i - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73476 and 3744?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2730502?\nAnswer: 2, 1365251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/7))**(-2\/19)\/(t*t\/(t\/(t\/t**(-16)))*t\/(t**(-4\/5)*t)) assuming t is positive.\nAnswer: t**(-12512\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 4*a**2 - a - 3. Let b be 10\/(-35) - (-20)\/(-28). Let x be (3\/3 - b) + 1. Let v(j) = -j**3 + 5*j**2 + j + 4. Calculate x*v(t) + 4*y(t).\nAnswer: t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 39. Let v = 371 - 250. What is the greatest common divisor of v and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from {v: 4, r: 2, k: 3, p: 4, e: 1, y: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 = -3*i + 8, -6 = 2*z. Let a = 1 + 0. Let w be 512\/i*a\/2. What is the highest common divisor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 7*d**3 + 0*d**3)*(-16340 - 16341 + 32683 - 453*d).\nAnswer: -1812*d**4 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3809\/67, -1167, 0.2 in ascending order.\nAnswer: -1167, 0.2, 3809\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 223217379 divided by -6699\nAnswer: -33321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/1*(-3)\/(-6). Let l = b - -5. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (430\/100 - (10 - 6)) + 18\/(-60). Solve z = -2*g + 5*p, -2*g + 17*p - 4 = 14*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 24*s**2 - 213*s + 358. Give x(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 80.\nAnswer: -1, 6, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 604579, 604582, 604587, 604594, 604603, 604614, 604627?\n\"Answer: z**2 + 604578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6582 - 937?\nAnswer: 5746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-7)*m)\/m)\/((m\/m**(-1\/7))\/m))**(-47)*(((m\/m**(-3\/8)*m)\/m)\/(m\/(m*m**(-2))))\/(m*m\/m**(3\/2)*m**(-1\/2)) assuming m is positive.\nAnswer: m**(18765\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 49*p**3 + 6*p**2 + 6*p - 2. Let r be x(-2). Let t = r - -382. Solve -2*c - 3*c - 15 = t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 + 65. Which is the smallest value? (a) -0.3 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 + 8*n + 18. Let l be j(8). Let s = -42 - l. Let m(r) = -4*r + s*r + r + 1 + 7. Calculate m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -895, -1818, -2745, -3676, -4611, -5550, -6493?\nAnswer: -7440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.43165 and 1?\nAnswer: -5.43165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 6*i + 19*i + 29)*(-4*i**3 - i**3 - i**3).\nAnswer: -78*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/(f\/(f**1\/f)))**(23\/3)*(f\/f**4*f**(3\/4))\/(f**2*(f*(f\/(f\/(((f**2\/f)\/f)\/f*f)))\/f)\/f) assuming f is positive.\nAnswer: f**(-775\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88293196 divided by -4.\nAnswer: 22073299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.6 - -17.4. Let i be (-1)\/(-2) + (5 - 1215\/10). Let s be (-4 + i\/(-28))\/(-4). Which is the third smallest value? (a) m (b) 2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(9\/5))**(-2\/35)*b**(2\/39)\/b**0 assuming b is positive.\nAnswer: b**(-352\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 + 100. Let w(x) = x**3 - 7*x**2 + 2*x + 9. Let m be w(5). Let l = a - m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18935829 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2787*n**4 - 214*n**3 - 544406*n.\nAnswer: 33444*n**2 - 1284*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -528 > -333608\/633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8457? (a) -43 (b) 3 (c) 1\/3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7585966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 3)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2256907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7198?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80480*u**2 + 40928*u**2 + 40147*u**2.\nAnswer: 595*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4751177*i*y**3 + 2*i*y + 2*y**3 + y**2 + 45*y + 9840 wrt y.\nAnswer: -28507062*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 + -237. Calculate the remainder when 107 is divided by (-3)\/((-3 - j) + (-95)\/(-57)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13\/33 (b) -14 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 283*k**3 - 288*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 + 42. Let n(j) = -107*j - j**2 - i*j + 213*j. Let o(m) be the third derivative of m**5\/30 - m**2. Calculate n(o(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + (-2*sqrt(68) + sqrt(68) - sqrt(68)) - sqrt(68))*-5)\/(sqrt(4) - (sqrt(4) + (-3*sqrt(16) - sqrt(16))\/sqrt(4)) - sqrt(4)).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18126 bigger than 1\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + -7 + (46 + 22 - 14)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 4. Let k = f + -3. Is k 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) -8 (b) 3 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 11 = -4*x + 5*i, 3*i - 23 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.49 or -3\/104?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160 - 234. Let l be (-4)\/14 + i\/(-14). Let y(m) = -m**3 - 6*m**2 - 5*m + 4. Let f be y(-5). Solve -f*c + l = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -230. Let g be 2166\/o - (-6)\/10. Let k = 2307\/88 + g. Find the common denominator of -55\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 197 - -5?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z + 8. Calculate g(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 12 + 36. Let t be 39\/c - 3 - 1. Let w = -0.2 + 0.2. What is the closest to 1 in 2\/15, w, t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*v - 95*v - 85. Solve -5*w - v*a = -0*w + 15, 3*a + 11 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:45 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 + 6\/(-3) + 1312\/8 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*s + 2639 = 419, 0 = 2*i + 3*s - 877. Let f = i - 810. Find the common denominator of -151\/30 and f\/(-6)*9\/90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 10, -1, 5, 5\/4 in decreasing order.\nAnswer: 10, 5, 5\/4, 0.01, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 4*q - 50 = -17*t, -4*q + 30 = t. Let k(c) = 1. Let z(g) = g. Let o(h) = -k(h) + z(h). Determine o(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.51 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 minus 0.198?\nAnswer: 150.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and -12902.\nAnswer: -12901.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o - 6. Let y(z) be the third derivative of -z**5\/60 + z**4\/24 + 3*z**3\/2 - 33*z**2. Give 7*k(j) + 5*y(j).\nAnswer: 2*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010023 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/12560 and -37\/12560?\nAnswer: 12560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15466)\/66)\/(-19)*(-6)\/2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16204 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**(-5\/3)*q)\/q)\/q*q*q**7\/q)\/(q**(-14)*q*q\/(q*q**(1\/10))))**(21\/8) assuming q is positive.\nAnswer: q**(3871\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19832 - -51267. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26835.9899 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + u**2 - 4*u**2 + 2*u**2. Suppose 4*t = 5*o - 20, -o + 5*t + 22 + 3 = 0. Determine q(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -584\/3*f + 800\/3 - 212\/3*f**2 - 4\/3*f**3.\nAnswer: -4*(f - 1)*(f + 4)*(f + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 = 10. Sort 1, -0.02, f in increasing order.\nAnswer: f, -0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 418, 1685, 3796, 6751?\n\"Answer: 422*i**2 + i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - f - 3)*(-3 - 10 - 2) + (4 - 4 + 1)*(-5*f + f + 3*f) + 0 + f + 0.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3.06. Let v = 0.03 + n. Let q = v - -0.13. What is the third smallest value in 2, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 10. What is the common denominator of (101\/(-3))\/(56\/t) and -91\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 1\/2*n**2 + 18*n - 1 + 1\/3*n**3. Let h be v(0). Solve h = 3*w + 3*p, 3*w = w + p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/19)\/(7\/224)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**6\/21 + 6*s**5\/35 - s**4\/7 - 4*s**3\/21 + 3*s**2\/7 - 2*s\/7 + 2. Solve i(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 5, x: 5}. What is prob of sequence xb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3497140 and 17860.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3635 (base 8) in base 7?\nAnswer: -5453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:31 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 0*r**2 + 0*r**3 + 0 - 5\/6*r**4 - 17*r. Let k(m) = -9*m. Determine k(h(j)).\nAnswer: 90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, k: 6, n: 4}. Give prob of picking 2 n.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256.576 rounded to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, n: 4, j: 3, d: 6, h: 1, k: 1}. Give prob of picking 1 h, 1 m, and 1 j.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109681?\nAnswer: 3, 7, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y + v = -4, 3*y - 16 = 4*v. Let a = 131 + -653\/5. Solve 2\/5 + y*b - a*b**2 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 22*s + 18*s + 13*s + s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.2 - 16.27. Let x = 3.1 - d. What is x rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/5 and 64\/14391.\nAnswer: 71955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4176*i**2 + 692*i - 4175*i**2 - 1356*i + 677*i.\nAnswer: i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 262 + 1 = 11*m + 8*m - 6, -5*p = 3*m + 60 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 900 or 6306\/7?\nAnswer: 6306\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.210981l in millilitres?\nAnswer: 4210.981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 1 + 2*b**2 + 1\/4*b**4 + 5\/3*b**3 + b. Suppose 2*a + 3*k = -17, -4*k - 17 = 3*a + 7. Determine z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3174*m**2 + 3133*m**2 - 7537*m**2 - m**2 + 2*m**2 + 0*m**2 + 3*m**2 + 2*m**2 - 4*m**2 + (2*m + 5*m - 5*m)*(1 - 1 + 3*m).\nAnswer: -1222*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + -75 - 50 - -15?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31706 + -31700. Which is greater: -540 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:11 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 65. Let k(x) = 174*x + 53. Calculate n(k(y)).\nAnswer: -30276*y**2 - 18444*y - 2874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -14119?\nAnswer: -14119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*y - 36, 0 = -2*y + 7*y + 5*v - 40. Suppose -y*l + 10 = n, 5*l = 4*n + 3*l - 58. What is the lowest common multiple of n and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5735\/123 + 5776\/123. Factor -4\/3 + 5\/3*j**3 - 1\/3*j**2 - 1\/3*j**5 - 8\/3*j + m*j**4.\nAnswer: -(j - 2)**2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382 - 371 - 30 + 3*q.\nAnswer: 3*q - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9910*c + 27342*c + 2587270 + 80408 = -16769*c for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(396) - (-3 + sqrt(396))**2) + sqrt(396).\nAnswer: -403 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, 0.1, -10.\nAnswer: -10, -0.36, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2508619331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_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: Collect the terms in 9025*g - 18011*g - 21 + 21 + 8983*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 9 = -7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7853*r**3 - 13284.\nAnswer: 23559*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*63\/(-28) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let p be 1 + 2 + (x - 0). Factor l**2 + l**4 + 2*l**2 + 1 - 5*l**p.\nAnswer: (l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1066 is divided by 308?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(1 - (0 + -1)). Let m be h - (-2 + (-3 - -1)). Suppose 20 + 22 = m*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - g + 65 = 0, -2*q - g + 26 = 9 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240732377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21449214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 6*z**2 - 2*z + 8. Let v be c(6). Let p be (-9)\/6*v\/(-6). Which is bigger: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + r)*(-2*r**3 + 3*r**3 - 3*r**3) - 3*r**4 + 2*r**4 + 2*r**4 - r**4 - 2*r**4 + 5*r**4 + (-2*r - 1 + 1)*(24*r**3 + 17*r**3 - 9*r**3).\nAnswer: -63*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let d(w) = 799*w**2 - 2*w - 2. What is -d(f) - 2*o(f)?\nAnswer: -799*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -305, -4, -39 in increasing order.\nAnswer: -305, -39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -2, 1, 0.08, -1.691, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2618)\/(-371) - 2) + -12 + (-9 - -16). What is the closest to -1 in 0.1, 0.2, a, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134 and 4?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4)\/p)**(-2\/3)\/((p*p*p**(1\/7)*p*p)\/(p**(9\/8)*p)))**(1\/33) assuming p is positive.\nAnswer: p**(-311\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntttttztzntttzfzzz. What is prob of picking 1 z and 2 n?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 50*p.\nAnswer: -p*(p - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (9 + (7 - 17) + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*n = 37, -2*n = 2*r + 3*r - 41. Let i(a) = -a**2 + 9*a + 16. Does 4 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6535 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - i - 3811 = 0, 20*i - 3802 = -2*u + 24*i. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124657 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47884712.\nAnswer: 2, 19, 23, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 - 10044*k**4 - 150176*k**3 + 170268*k**2 + 150178*k - 160224 = 0. What is k?\nAnswer: -5007, -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827 - 413 + 6*a + 16*a - 411 + 13*a - a - 9*a.\nAnswer: 25*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -4b4?\nAnswer: -4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2065 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7080)\/180*162\/(-108)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103 and 1?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/((m\/((m**(5\/12)*m)\/m*m)*m)\/m))\/m*m\/(m*m**16))\/((m\/(m\/(m\/(m**15*m*m))))\/m*m\/(m\/m**(-19))) assuming m is positive.\nAnswer: m**(257\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 720 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 40*s**2 - 68*s - 284. What is r(38)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965453 minus -8094?\nAnswer: 2973547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000807088 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 divided by -2.\nAnswer: 193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31592764667637 + -31592768372083.39999952. Let t = -3704447 - h. Let m = -0.6 - t. What is m rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368805 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 0.13, -0.1 in decreasing order.\nAnswer: 0.13, 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 6*y**2 + 2*y - 15. Let r be z(-5). Suppose -10*t + r = -0. Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2*s - 3*s + 7*s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 23. Let q = k + 20. Let z = q + -13. Which is the second smallest value? (a) -2 (b) z (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1120 + 5438. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n + (3 - 1 - 4)*(n - 4*n + 2*n))*(-3 + 3 - 4).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327089 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(150\/(-51) - -3). Suppose -2*r + z = -0*r - 13, 4*r + z = c. Suppose -3*v - l = -73 - 3, -r*v = -3*l - 122. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 295, 648, 1147, 1798, 2607, 3580, 4723?\nAnswer: 6042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*u + 6 = 0, 4*x - 50*u + 69*u = -22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, 2\/11, -4.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t - 17*t - 14198 + 7*t.\nAnswer: -30*t - 14198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 634418716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72975 and 3667515.\nAnswer: 2085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112860 divided by -95?\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and -55\/936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -211*p**3 - 8*p**2 + 390 + 418*p**3 + 575*p + 188*p**2 - 212*p**3.\nAnswer: -5*(p - 39)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.1745 tonnes in kilograms?\nAnswer: 95174.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9619855m?\nAnswer: 961.9855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqyqqqkqqkyhqk. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127 and 26952067?\nAnswer: 26952067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-411 + 3*k + 411)*(3*k + 5*k - 2*k)*(-k**2 + k**2 + 2*k**2) to w*k**2 + t*k**4 + x*k + v*k**3 + u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23100*x**4 - 13386 wrt x.\nAnswer: -92400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/12938 and 51\/86.\nAnswer: 556334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16749152 to three dps.\nAnswer: -0.167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17673233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 + r**3\/6 + 2*r**2 + 3*r. Let t(z) = 3*z**3 - 5*z**2 + 5. Give 5*f(k) - t(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 22354153?\nAnswer: -22354220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -6, 2023, 1, 2 in descending order.\nAnswer: 2023, 5, 2, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -2\/7, 6\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2))\/(63\/24 + -3). Suppose -q*h = 48 - 1616. Suppose 0 = 5*k - 4*y + 2*y - h, 0 = -k - y + 77. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 31 - 35 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:39 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82833, -165665, -248497?\n\"Answer: -82832*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102.34 + 105. Let j = r - -0.34. Which is the second smallest value? (a) j (b) -2\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 1. Suppose -12 = -2*c - 2*w, -3*c - 2*w + 8 = -5*c. Let r be q(c). Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 19 = -3*j + 4*a, 5*j + a + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30230 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130.70048 - -0.30952. Let k = z - 0.51. Let u = k - 112. What is u rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -1477*b**6\/24 + b**4\/12 - 25*b**3\/3 - 2787*b**2. What is the second derivative of t(p) wrt p?\nAnswer: -44310*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -77.8, 49 in ascending order.\nAnswer: -77.8, 0.2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*z + 248*z - 33964 - 156*z.\nAnswer: -25*z - 33964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 12, 35501, -1 in descending order.\nAnswer: 35501, 12, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3446, -3497, -3580, -3695, -3842, -4021?\nAnswer: -4232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 12*l**2 + 26*l + 71. What is j(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 78?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 + 7*r + 33)*(7 - 100 + 28) - r + 3*r - r + 4*r - r - 4*r + (2 - 2*r - 2)*(1 + 1 - 4) + 3*r + 0*r - r as h*r + s and give h.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*r**3*t**3 - 4570882*r**3 + 10*r*t**3 - 5*r*t**2 + r - 24*t**3 - 766*t wrt r.\nAnswer: -156*r*t**3 - 27425292*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/15 - ((-52)\/(-65) + -1). Suppose -o - o + 10 = 0. What is the second biggest value in o, t, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7039*k**2 + 9730 wrt k.\nAnswer: 14078*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -1\/5 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 229? (a) -110 (b) -7\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + a + 2 - 2 + 2*a + (4 + 2 - 4)*(8 - 8 - 13*a) + 2*a - 4*a - 5*a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.06 - 54. Sort -2\/19, -3, v, -3\/2 in decreasing order.\nAnswer: v, -2\/19, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4017 - -4164.95. Let f = 145.953 + 0.047. Let l = r - f. Round l to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100 + 11000001?\nAnswer: 110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75, -144, -213, -282?\n\"Answer: -69*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1 - f + 3*f - 2*f + f. List the prime factors of q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26889330 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*r - 2, 2*c + r + r = 10. Suppose -4*v = -c*s + 16, -5*v - 8 = -7*v. Suppose -s*o + 654 = -10*o. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374823451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 272558?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlvvvlhdv. Give prob of picking 2 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 133*x - 667. What is the remainder when 192 is divided by z(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-87)\/(-116).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28238*b**3 + 2*b + 10460 wrt b.\nAnswer: 169428*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*m - 0*m - 12, 16 = -5*m + 4*i. Suppose m = -4*a + 2 - 122. What are the prime factors of 88\/(-6)*a\/20?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568 and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25463\/123 + -207. Let f = -88\/369 + s. Let i = 181\/220 + -4\/55. What is the third smallest value in f, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114579*i**2*n**3 - 2*i**2*n**2 + 2*i**2 - 2002*i*n - n wrt n.\nAnswer: 687474*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.47 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u - 20. Let t be y(-4). What are the prime factors of 2\/t*37*2?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**3 - 5*q**2 + 2*q + 11. Let a be f(3). Let w = a - -263. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(400) + (sqrt(400)*-2 - sqrt(400)) + sqrt(400)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(55 - 14*q**2 - 24*q**2 - 49) + (0*q - 2*q + 0*q)*(-3*q + 2*q + 0*q).\nAnswer: -36*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 110 + 490*c - 110 + 1801*c. Let t(b) = -2*b**2. Give w(t(o)).\nAnswer: -4582*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 5*w**3 + 0*w**3 + 4*w**3 - 6 + 3. Let m(y) = 53*y**2 - 9*y**3 - 52*y**2 - 1 + 10*y**3. Calculate d(g) - 3*m(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1010121212?\nAnswer: 1010122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 30096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -125200 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 + 105\/12)*-8. Let b(f) = 8*f + 2*f**j - 5*f**2 + 15 - 17 + f**2. Let g(d) = d**2 - 3*d + 1. What is 3*b(v) + 8*g(v)?\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28*-3)\/(10\/(-70)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let m(c) = 10*c + 181. Give m(g(n)).\nAnswer: 10*n + 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/5)\/k*k*k**(2\/9)*(k\/k**(-2))\/(k*k**7)*((k**1)**(-1\/22))**31 assuming k is positive.\nAnswer: k**(-6719\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4 + 0 - 52*y - 18*y**2 + 47\/2*y**3. Factor q(m).\nAnswer: 3*(m + 12)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 6729.\nAnswer: 6726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/6 + l**2 + 4*l + 4. Let j(t) = 4*t + 11. What is 6*j(d) - 33*y(d)?\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-2) - 4)*-22. Let v = -63 - t. Suppose x = 6*x. Solve x = y + 3*c, -c = -3*y - v*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + d**2 + 9*d - 9. Determine u(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006857553 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szv when three letters picked without replacement from {v: 4, a: 4, j: 1, s: 1, x: 1, z: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 12. Put f, -1, -5 in descending order.\nAnswer: f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(180)\/(sqrt(48)\/sqrt(4)))\/(sqrt(135)\/sqrt(3)) - (sqrt(1617) + 2*sqrt(1617))\/(sqrt(132)\/(sqrt(12) + (sqrt(12)*-3 - sqrt(12)) - sqrt(12))).\nAnswer: -4 + 253*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 19 + 7 = 0. Which is smaller: 2\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k + 2*k + 3*k)*(k - k + 2*k**3) + 2*k**4 - 2*k**3 + 2*k**3 + 0 + 2*k**4 + 0 - 1 + 1 - k**4)*(2071*k + 1057*k - 285*k).\nAnswer: 14215*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.00005407 and 0.5?\nAnswer: 0.49994593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 + 3.895?\nAnswer: 3.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2. Suppose 5*s - a = -3*a + 7, s - 3*a = -2. Suppose y + 3 = -u, 2*y + u + s + 1 = 0. Determine p(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*d + 5*d. Calculate the lowest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.64 - -3.64. Which is the closest to 25? (a) s (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552116 is divided by 642?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 174280751 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4893*c. Let p(b) = 23*b**2 + 10*b - 5. Let k(v) = -9*v**2 - 4*v + 2. Let m(d) = 5*k(d) + 2*p(d). What is w(m(f))?\nAnswer: -4893*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 399 = 595*j - 190*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2 + sqrt(112) + sqrt(112))**2*3 - (5 + (-3 + sqrt(252))**2).\nAnswer: 144*sqrt(7) + 1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i + 9. Let u be l(2). Let f(s) = -s**3 - 8*s**2 - 6*s + 10. Give f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/7, -1\/2, 0.1, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s - v - 66, 24*v = -s + 26*v + 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*o - 202, u + 32 = -0*u + 5*o. Which is smaller: u or 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 535*u + 26. Let t(f) = 356*f + 21. What is -5*j(p) + 7*t(p)?\nAnswer: -183*p + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3*sqrt(300) + sqrt(300) + sqrt(300) + sqrt(300))*-2 - (-6*sqrt(300)*2 + (sqrt(300) + 0)*-5 + sqrt(300)))**2.\nAnswer: 160*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/(-48)*3 + 18\/24. Put -3, -5, -36, k in ascending order.\nAnswer: -36, -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152648 = 77*m - 224421. What are the prime factors of m?\nAnswer: 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.66 - -3.53. Let n = -43.47 + v. What is n rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2318 - 2313. Which is the biggest value? (a) 1\/9 (b) s (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1 (c) -1 (d) -2\/21 (e) 20.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-9)\/12*858\/(-11). Suppose -n + 357 = 16*y. What is the lowest common multiple of y and 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1.6766?\nAnswer: -1.6766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = w - z, -4*w - 3*z + z + 82 = 0. Calculate the remainder when (-2)\/(-6)*3 + w is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d + 3. Let u(p) = -4*p + 1. Let n be u(1). What are the prime factors of k(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-4\/7)\/t)\/t*t**(2\/13))\/(t**5\/t**(-2\/23)) assuming t is positive.\nAnswer: t**(-13614\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -172, -170, -160, -136, -92?\n\"Answer: b**3 - 2*b**2 + b - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24994, 24970, 24928, 24868, 24790?\nAnswer: 24694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v - 132209*v**3 + 132211*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/420)\/((-4)\/16).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 2*l - 2. Suppose 0 = 5*g - 10. Suppose 0 = -g*x - 6. Give z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464 by -18.\nAnswer: -232\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 42*h + 171. Let f be t(-4). Calculate the highest common factor of 3199 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 + 6*z - 6*z + z**4 + (2*z**2 + 2*z**3 - 2*z**2)*(-4*z + 2*z + 4*z).\nAnswer: 5*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 4*a + 1. Let m be j(4). Do m and 3\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13842656 divided by 4?\nAnswer: -3460664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w**2 + 2*w - 7. Let r be i(6). Let b = r - 5. Suppose 2*a = -b*a + 16. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -10. Let d = 30039 - 30034. Solve 0*o + s*z - 16 = -2*o, -4*z - 12 = -d*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 20*w**3 + 23*w**2 + 9*w + 6. Let m(c) = -7*c**3 - 8*c**2 - 3*c - 2. Let h(a) = -17*m(a) - 6*y(a). Let p be h(-1). Solve p*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 4820*j + 9665*j - 4795*j.\nAnswer: -3*j**2 + 50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(39\/18 - 2). Suppose 0*a - g = -3*a. What is the lowest common multiple of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*u**2 + 136*u**2 + 40*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 2. Let q = -207 - -205. Give c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 - 159*s + 816. Determine k(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1061871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 7:25 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -314541 <= -314545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**3 - p**2 + 3*p + 3. Let t be o(3). Let i = t + -174. What is the highest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -97, -106, -117?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25290000 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*l - 8*l - 48*l + 3*l to the form h + x*l and give x.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 + 3 + 7 + (-8 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -15*g**2 + 206*g + 7135. What is b(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/154 + 7737\/1232. Suppose -30 = -3*p + 5*p. Find the common denominator of o and 5\/20 - (-39)\/p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 6, -1 in decreasing order.\nAnswer: 6, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**16*(q\/q**(-2))**13)**2 assuming q is positive.\nAnswer: q**(202\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -15\/4, -5, 128?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -849 + 855. Let d(j) = -j**3 + j**2 - 1. Let x(h) = 8*h**3 - 6*h**2 - h + 6. Calculate y*d(s) + x(s).\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g. Let y(l) = -9*l - 32. Determine -f(k) - y(k).\nAnswer: 6*k + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5398985 divided by -1079797\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677*m + 229*m + 188*m + 244*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36460\/32*(-6)\/7790. Let p = -2\/779 - d. What is the common denominator of p and (32 - 37) + (15\/40)\/(54\/1576)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 (base 13) in base 11?\nAnswer: -21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (31 + -19 - 25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/20 + 11*s**4\/12 + s**3\/3 - 3*s**2\/2 + s. Let u be k(11). Suppose -u = 5*f + 6. Let d(h) = h + 6. Determine d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/20 - b**4\/12 + b**3\/3 + b**2. Let j = -50 + 8. Let o = -40 - j. Determine m(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 1 (c) 0.3 (d) -1\/2 (e) 0.231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20694*r - 19242*r = -14520 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57130147 is divided by 475.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/20 and -131\/1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 26*j - 48. Does 4 divide v(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1386874 to two dps.\nAnswer: 5.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 9. Factor -4 + b**3 - 2*b + 4*b**2 - 5*b**3 + 6*b**c.\nAnswer: 2*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 2, r: 3, m: 2}. What is prob of sequence xfr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39851 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 7*n + 1. Let x be w(-4). Let r = x + 99. Let z be 7\/(-5) + (-26)\/(-65). Put r, -4, z, 4 in decreasing order.\nAnswer: 4, r, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d**2 + 5*d - 17. Let t = 974 - 985. Is g(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from wowffwfo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 15084\/9449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110120 (base 3) in base 14?\nAnswer: -925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 8) to base 9\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(448)*-2 - sqrt(448)))**2.\nAnswer: -144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t. Let d(x) be the second derivative of -x**4\/24 - 17*x**2\/2 - 41*x. Let s(c) be the first derivative of d(c). Determine s(k(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 + 266 + 135 + -16?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = 5*n, 2*f - 7 = 5*n + f. What is the hundreds digit of (-414)\/n + (-63 - -65)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1735644 divided by 53?\nAnswer: 32748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**6\/6 + 3*i**5\/5 - i**4\/2 + 8. Solve u(z) = 0 for z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {u: 1, k: 1, p: 1, y: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t + 48. Does 85 divide o(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5\/4 - 805*u**4\/2 - 26855*u**3\/4 - 16015*u**2 + 128475*u + 273780 = 0 for u.\nAnswer: -9, -2, 4, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3251?\nAnswer: -3251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94270642*w + 47951716.\nAnswer: 94270642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 + 70*n + 65 = 0 for n.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/17*c**3 + 0*c**2 + 0*c + 0 + 2\/17*c**4 = 0. What is c?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39\/8 (b) 0.02 (c) 2334\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -381, -590, -805, -1026, -1253?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + -0.02. Let j = o + 0.48. Let z = j + -0.39. Which is the third smallest value? (a) z (b) 2 (c) -22\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 2 - 7) + -1 + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 5*f + 8 = 0. Let x(p) = p**2 + 4*p + 2. Let k be x(-4). Let w = 7 + -5. Solve f*v - k*s = -4, -2*v + 3*s = -s + w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5474895 to the power of 1\/2, to the nearest integer?\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 + 211*f**2 + 2076*f - 24. Calculate h(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = 2*v + 14, 3*v = -2*z. Let m be (z + -1)*25\/(-5). Let t(f) = -2*f + 32. Let y be t(5). Which is greater: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.0756361 * -3.\nAnswer: -15.2269083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -204\/5*a + 2\/5*a**2 + 578.\nAnswer: 2*(a - 85)*(a - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + s**3 + 4*s - 2 - 4 + 2 + 2. Let g be r(-5). Let x be (g\/(-2))\/(12\/(-16)). Let f(c) = c - 1. Let b(y) = -8*y + 9. Determine x*b(w) + 18*f(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrprrrpr. What is prob of picking 3 r?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14*r**(2\/9))\/(((r*r*r\/r**15)\/r)\/r*r\/(r*r**12)) assuming r is positive.\nAnswer: r**(362\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlvaxxvv. Give prob of picking 2 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*i - 11 + 3 = 0, -3*f - i + 11 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/108*(-99)\/60*-4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + -0.62. Let x = -2.7 + 2.4. Let z = f - x. Which is the smallest value? (a) -0.4 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43330 is divided by 798.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4.26, 2\/9 in ascending order.\nAnswer: -4.26, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*w - 39570 = 0, -1510 - 14313 = -2*f + 3*w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 18*h**2. Let s(q) = q**2 - 7*q - 23. Let n be s(-5). Let o = -38 + n. Calculate a(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e + -25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let u(l) = -5*l + 6. Let k(g) = -5 + g - 4*g + 7*g. Let j(q) = -6*k(q) - 5*u(q). Calculate j(d(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001456 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7180.50039 rounded to the nearest ten?\nAnswer: -7180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 497*w + 838*w - 12015 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(3 + 1414\/(-466)). Let i = -2751\/44 + o. What is the common denominator of i and -45\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3663077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j. Let n(q) = -7*q. Give -4*n(i) + 5*v(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 81, 51, -15, -129, -303?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23369 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(5 - 7)*8. Is h + -12 + 2 + -1 + 1377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3 + 12*o**2 + 8*o = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -17*l**2. Let o(j) = -33*j**2 - 2*j - 1020. What is o(c(h))?\nAnswer: -9537*h**4 + 34*h**2 - 1020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7769.7557 rounded to the nearest one hundred?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 7*d**2 - 17*d - 4. Suppose -9*z + 11*z = 18. Let v be x(z). Suppose -2*p - 174 = -v*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(-3*k + 2*k + 2*k) - 267 + 267 - 24*k + 4 - 4 + 2*k + (2 + 2 + 1)*(-2*k + 4*k - 4*k) - 4 - 14*k + 4 to d*k + j and give d.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(2 - -3 - -8). Solve 7 = -3*l - w, 0 = 6*l - l + w + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 5*u**2 - 2*u + 4. Let m be z(3). Let f = m + -9. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1640*i**2 + 2*i - 3278*i**2 + 1640*i**2 - 1 + 11*i**3. Let b be x(3). What is the greatest common divisor of b and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a6 - 0?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = j - 2*u + 3, -2*j - 2*u - 16 = 0. Let b = j + 7. Let i be 6\/2 - 2\/2. Sort 1, b, i in decreasing order.\nAnswer: i, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = 0, 2*i - 2*v = -3*i + 185. Let b = i + -24. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 163 = 69*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4*g = -g + 78, -4*c + 4*g + 44 = 0. Solve -21*l = -36*l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 5*j - 3*j)*(2 - 4 + 3)*(93*j + 594 - 594)*(3*j**2 - 3*j**2 + j**2).\nAnswer: 372*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97146 by -3.\nAnswer: -32382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1254 and 180741.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 143.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.2, 76, -3\/4, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051906.\nAnswer: 2, 149, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*g = -13, -5*u - 763*g = -765*g - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14638019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -528 + 531.9875. Let x = -4 + n. What is x rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 4*t - 3. Let f(a) = -a**3 + 11*a**2 - 11*a + 5. Let m be f(10). What are the prime factors of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63173.\nAnswer: 11, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -1200, -10\/11, -4.2, 0.4?\nAnswer: -1200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -48. Let f be (-1 - (-287)\/5) + p\/(-25). Suppose 3*j - 375 = -4*b, -4*b + f = j - 308. What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5953\/12 at most as big as -497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 10. Let l = -1790 + 1787. Let r(u) = -9*u - 20. Give l*r(a) - 7*y(a).\nAnswer: -a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 + k + 31. What is u(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/47? (a) 1\/13 (b) 1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 16. Let m be x(-5). Suppose -m = f, -4*o = -5*f - 1 - 0. Let w = 3 - 2.99. Is w < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(912)*1)\/(4*sqrt(243)))**2.\nAnswer: 19\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220 is divided by 272?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1216 (b) -2 (c) -2\/7 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + s = -0*j + 12, -j - 4*s - 15 = 0. Let u = 270 + -265. Sort j, u, -7, -4.\nAnswer: -7, -4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 - 191*s**2\/2 - 420*s + 5850.\nAnswer: (s - 195)*(s - 6)*(s + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**3)**(4\/17) assuming o is positive.\nAnswer: o**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-6))\/(2\/3). Suppose y*n = 3*d + 3, -3*d + 0*d + 15 = 2*n. Suppose 3*j + 9 = 0, -4 = -p + 5*j + 11. Solve 5*g - d - 7 = p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Suppose -m*s + 24 = 2*p, -2*s - 27 = -4*p - 3*s. Suppose -4*d = -7*d + p. Solve -d*c - 2 = 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/460 and -83\/15?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*u + 2*u. Let z be 32\/(-12)*(-6)\/4. What is the second derivative of 3*g**4 - u*g + 3*g**z - 11*g**4 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 88 = y. Suppose 33*p = 32*p - y. Let z = p + 129. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/48 - (-142)\/3. Let l = t - 33. What is the greatest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/1304553 and 85\/2037.\nAnswer: 9131871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-76)\/(-36) + -2 - -1 and -27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:04 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -4*j - 75. Let n = 1250 + -1186. What is the remainder when n is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807 less than or equal to 7816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -1 - ((0 - 53) + (145 - 121)) - 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, 1740, 4663, 8756, 14019, 20452, 28055?\n\"Answer: 585*c**2 - 2*c - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Suppose -5*u + 8 + 7 = p. Suppose 4*m = u*f + 34, 0 = m + f + 4*f - 20. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10594711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(68)*-3)**2 - ((sqrt(17) + -1 + 1 - sqrt(1088)*-1) + -1)**2.\nAnswer: 18*sqrt(17) + 8418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.65 to 1 decimal place.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54259 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 34. Let k = 28 + c. Suppose 0 = 5*t + k*x, 2*x + 19 = 4*t + 45. Put t, 6, 2 in descending order.\nAnswer: 6, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 4*u - 4*u + (-2*u + 4*u - 4*u)*(-2*u + 0*u + 0*u) - 3 + 3 + u**2 - u**2 + 4*u**2 - 4*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -113460 <= -113460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1251479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Calculate the lowest common multiple of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -8*k + 3*k + 2*s, -5*k + 3*s + 18 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*b*d**2*o + 2*b*o - 4*d**2 + 49*d*o + 2*d with respect to b.\nAnswer: 112*d**2*o + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b - 1. Let q(o) = 8*o**3 - 11*o**2 + 4*o - 4. Let v(x) = 4*h(x) - q(x). What is the third derivative of v(u) wrt u?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 348*v.\nAnswer: v*(v - 696)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21543775, -21543808, -21543841, -21543874?\nAnswer: -21543907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66180 and 19140?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595186.7 years in millennia?\nAnswer: 595.1867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-7 + 7))\/(((-910)\/104 + 10)*-72)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 49117621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/114 and -40\/171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 - 88. Suppose 5*r + 3*l = k, -2*r + 6*r = l + 41. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5595.2416 + 3233.248. Let m = 2360 + u. Let p = m - -2. Round p to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54.38 + -4.98. Let o = b - 58. What is o rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(4\/15)\/h))\/(h**(-1\/10)*h))\/(h**(-10\/3)*h**(-10)) assuming h is positive.\nAnswer: h**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 2. Let l = -10 + v. Solve l*g + 3*y - 11 = 2*g, 4*g - 4*y + 16 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9718164kg?\nAnswer: 971.8164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q + 1. Let k be v(1). Let x(g) be the second derivative of g**3\/6 + 7*g**2\/2 - 266*g. Calculate x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65\/(-6) - (-3)\/(-18). Let p = -6 - t. Solve -p*s = -l + 18, 5*l + 14 + 0 = -s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1481\/3 - -494. Which is bigger: 1.9 or t?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w - 2. Let c(m) be the first derivative of -m**3\/6 + 19*m - 28. Let a(v) be the first derivative of c(v). What is -10*a(u) - b(u)?\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + ((1 + sqrt(1539) - sqrt(1539)) + sqrt(1539))**2.\nAnswer: 18*sqrt(19) + 1535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16204 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8612449, 17224811, 25837173, 34449535, 43061897?\n\"Answer: 8612362*u + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -12*s**2. Let t(o) = -9*o - 1. What is t(r(y))?\nAnswer: 108*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - x + 8. Let y be (-4)\/8 + 15\/(-6). Let n be c(y). Suppose -n*o = -4*i - 6*o + 8, -5*o - 6 = -3*i. Solve -i*b = -5*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.79 + 1.5. Let u = 0.59 + p. Sort -3, u, -0.1 in increasing order.\nAnswer: -3, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let t(f) = 7*f + 5. Let u(x) = -6*x - 4. Let o(v) = -4*t(v) - 5*u(v). Suppose 3*n = 7*n - 4. Calculate n*o(k) + 4*p(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (1 - 4)) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:24 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g - 73 = -189 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -502411?\nAnswer: 502408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 11) to base 8\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/24)\/f*f\/f**(-1\/46))\/(((f*f**(-30)*f)\/f)\/(f\/f**(-25))) assuming f is positive.\nAnswer: f**(30349\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - 35*h - 57. Give t(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -544 - 1111 - 673 - 514 - 3858*m**3 wrt m.\nAnswer: -11574*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t = -715 + 427 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i + 1. Let y be t(-1). Let w be 15\/12*y\/(-2). Is 6 a factor of 0 - (-213)\/12 - w\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 313867.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 31 and 10.5685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003261 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002474550803 to 5 decimal places.\nAnswer: 0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -159? (a) -1 (b) 16 (c) -7 (d) 2\/3 (e) -1\/5 (f) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -3649?\nAnswer: 3649.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1446791 is divided by 1446782.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/50*15\/9. Let a = -16.5 + 4.5. Put -0.3, a, p in increasing order.\nAnswer: a, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**7\/3 - 5*k**3\/2 - 6*k. What is the second derivative of l(m) wrt m?\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*x - 10 - 270*x + 17 + 0*x + x - 2*x + (1 + 4 - 3)*(0*x + 3*x - 4*x) + x + 0*x + 0*x + 0*x - x + 0*x + 2 - 2 + x - 2*x + 4*x - 4*x.\nAnswer: -46*x + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 77*l**2 - 57*l + 4337. What is v(77)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(208)*5 + 1.\nAnswer: 6 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - y**2. Let b(l) = 25*l**3 - 75*l**2 + 35*l + 20. Let a(k) = b(k) - 5*z(k). Solve a(h) = 0 for h.\nAnswer: -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 6*m - 2*m)*(-26*m - 6 + 4 + 1).\nAnswer: 26*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 3 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -40. Let p = -61 - -58. Let n = -6 - -11. What is the nearest to f in p, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 52*k + 868. Calculate the remainder when f(0) is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3292166, -3292207, -3292248, -3292289?\nAnswer: -3292330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -43. Let y be (-2 - (-22)\/5) + 9\/j. Suppose 0 = -u + 5*g - 3, 2*u - 5*g = -y*g + 34. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -422*x - 165420. Give c(-392).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67497951 and 565?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 3 = 4*g - x - 10, -2*g - 50 = -2*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*o - 8*o - 4*a, 4*o + 13 = -a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/63*6)\/((-4)\/15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 3*h + 1. Let z(g) = g**3 + 12*g**2 + 22*g + 25. Let p be z(-10). Calculate r(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001090863171 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4913\/1260 + 107\/28. Calculate the common denominator of v and -35\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201638, -403275, -604912, -806549, -1008186?\nAnswer: -1209823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00560767274 rounded to seven dps?\nAnswer: 0.0056077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 114*s**3 - 2*s**2 - 3*s - 21. Give k(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6947, 5, 13, 0.\nAnswer: -6947, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1137857*y**3 + 105657*y wrt y?\nAnswer: 6827142*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 equal to -65540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/90 and -5\/28.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + o**5 + o**2 + (3*o - 3*o + 2*o**2)*(23 - 23 + 3*o**3) - 6*o**5 + o**5 + 3*o**5 - 40*o**3.\nAnswer: 5*o**5 - 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 12656?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12202120 (base 3) to base 13\nAnswer: 1bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301\/104 + 36\/13. What is the nearest to 21.4 in 1, t, -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 53*w + 1065. Let g be t(-20). What is the highest common factor of g and 8140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 15*g + 40. Determine f(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 + 67.9. Let m = -0.9 - g. What is the nearest to 0.3 in 2\/7, 0, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**8\/336 + d**7\/120 + 3*d**4\/4 + 8*d**2. Let k(j) be the second derivative of u(j). Find the third derivative of k(q) wrt q.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7143549 to the nearest integer?\nAnswer: 2673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -12. Let k be -2 + ((-24)\/a)\/(-2). Suppose -2*l = u - 10, -3*l + 0*u = -2*u - k. Solve -1 = -h - p, 5*h - 1 = -l*p - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Let t(f) be the third derivative of -f**5\/20 + f**4\/24 + 13*f**3\/6 - 13*f**2 + 1. Let c(j) = -j**2 + 6. Let b(h) = -5*c(h) + 2*t(h). Give b(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**3 + 3*u**2 + 3380. Calculate the remainder when h(0) is divided by 188.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(0 + 4 - 6)*(5*j - 3*j - j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.47733 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29.8 from 57.1125923.\nAnswer: 27.3125923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62950*h**3 - 23917*h wrt h?\nAnswer: -377700*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6460 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25180135 and 14206.\nAnswer: 50360270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3015 + 1554 + 8*d + 1461 - 4*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a centimeter?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let u(t) be the third derivative of -1\/8*t**4 + 1\/60*t**5 + 0 + 0*t**3 + 0*t - 7*t**2. Determine u(n(i)).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052\/(-140) - (-1*300\/80)\/((-2)\/(-8))?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5 + 11. Suppose 2 = -4*c - 4*k - 6, 2*c + l = -3*k. Let d = 1 + -3. Is c less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-590)\/20)\/(((-84)\/105)\/(8\/(-5)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 855325885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 14. Suppose -2*t + 24 = y*t. Find the second derivative of -4*q - t*q + 4*q - 2*q**2 wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02918 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/7 - 42*g - 1029.\nAnswer: -3*(g + 49)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -22.51, -1, 45 in decreasing order.\nAnswer: 45, -1, -15, -22.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**2*z - 4*v**2 + 2*v*z**2 + 23887*v - 1981682*z**2 wrt v?\nAnswer: -4*v*z - 8*v + 2*z**2 + 23887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + -0.1. Let g = 3.2 + u. What is the biggest value in 0.4, g, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118395 + 603*g**2 - 2*g**3 - 118389 + 236786 to i + r*g**2 + f*g + q*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/2 + 25*s**4\/2 - 125*s**3 + 625*s**2 - 3125*s\/2 + 3125\/2.\nAnswer: -(s - 5)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 52 = -5*v - 5*o, 4*o - 4 = 0. Let x be 5\/(-4) + (-18 - v). Which is smaller: x or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 25) + (-7 - (-22 - (-6 + -1))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 5. Let m be s(4). Let k = m - -10. Solve -3*l + 8 = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6265 (base 9) to base 8.\nAnswer: 10763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 4*i + 3. Let x be (-2)\/((-8)\/(-6))*70\/15. What is the units digit of u(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68)*-3 - sqrt(68))*-4) + (sqrt(68) - (2*sqrt(68)*3 + sqrt(68) - sqrt(68))))\/((-1*sqrt(252))\/(sqrt(700)*-2)).\nAnswer: -400*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -393384, -0.1, 4, -45, -2, 2?\nAnswer: -393384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Suppose -5*j - 15 = -l*v + 4*v, 4*v + 12 = -4*j. Suppose 2*t - t - 18 = v. Solve -4*a = n + 6 - t, -5*a + 20 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2831 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22194960583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1394 + -1393.9999177. Round d to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/26, 2\/7, -0.4, -1308, -0.253, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 - 874*a**2 + 10*a - 4. Let m(l) = l**3 + 276*l**2 - 3*l + 1. Calculate -3*f(z) - 10*m(z).\nAnswer: 2*z**3 - 138*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**3 - 9*u**2 + 11*u - 19. Let c be q(6). Suppose c = -2*b + 5*r, 2*r + 6256 - 2502 = -4*b. Let g = 3374 + b. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 0*w**3 - w**4 - 1\/2*w**2 + 0*w + 3. What is the second derivative of f(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + p**2 + 2*p**3 + p**2 + 309*p**2 - 309*p**2 - 110*p**3 + (2*p**3 - 3*p**3 + 2*p**3)*(4 + 3 - 5) + 2*p + p**3 - 2*p.\nAnswer: -105*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 472*y**2 + 942*y - 1386. Calculate v(234).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3202?\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a - 630. Let u = 19545 + -19492. Give o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -377240 * -14.\nAnswer: 5281360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 714?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1228 or 123968\/101?\nAnswer: 123968\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -23 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 552968943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(76) + sqrt(76) + sqrt(76)) - (-1*sqrt(76) + 0))**2 + (sqrt(684)*3*1 + -1)**2 + -4.\nAnswer: -36*sqrt(19) + 6837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176 and 1968?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 24 = 2*j + 6*q, -j = q + 14. List the prime factors of 2054\/j*(-3)\/2.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33800 by 13.\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssffxxfvfsxvv. Give prob of picking 1 x, 1 v, and 1 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(76) - (sqrt(76)*-1 + sqrt(76))) + sqrt(76))\/(sqrt(144)*-1).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2472 + -2471.9. Let g = 4 + -12. Which is the smallest value? (a) i (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 - 14*f + 2. Let n be x(3). Let q = 0 - 3. What is the biggest value in -5, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 + 11. Let g(r) = 7*r**2 + r + 12. Determine 4*g(q) - 3*o(q).\nAnswer: -2*q**2 + 4*q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*r + 1135*r + 606*r.\nAnswer: 1623*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**5 + 13104*m**4 + 299768*m**3 + 1601200*m**2 + 2355492*m + 1040960 = 0.\nAnswer: -3253, -16, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 114*v + 239. Calculate d(-3).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 234 = 3*x. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*w**2 - 7699*w**2 - 6032*w**2 - 1544*w**2 - 5568*w**2.\nAnswer: -21117*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3) - (3 + 45)\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 13 - 13 - 10 + 32 - 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 6. Let a be u(0). Suppose 0 = 5*r - 2*v - 12, -a*v - 2 = r - 2*v. Let j(l) = 4*l**3 + 4*l**2 - 4*l + 2. Does 17 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**4 + 3*z**2 + 10*z**2 - 5*z**2 + 1 + 2*z**3 - 5*z**3 wrt z?\nAnswer: 24*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(2) + -2.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 4) to base 15.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5715 and 10795?\nAnswer: 97155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l + 245. Let v = l + 91. Suppose -140 = 3*o - 8*o. Calculate the highest common divisor of v and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/873424 and -85\/3476?\nAnswer: 9607664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 2151*m**2 + 29385*m + 19591. What is h(1089)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -18*m**2 - 23*m**2 + 44*m**2 - 17*m**2. Let d(s) = -8*s**2. What is y(d(r))?\nAnswer: -896*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -257, -250, -241?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1822 + -1730. Suppose 112\/3*z - 100\/3*z**4 + 280\/3*z**3 - f*z**2 - 16\/3 = 0. Calculate z.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-3)\/(-4)))\/(-11 + (-1258)\/(-102))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*m - 1. Is 79520\/48 + 1\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2591 and 3?\nAnswer: 7773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12994 is divided by 4301?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-399))\/((-2)\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2162*o**2 - 50*o - 12.\nAnswer: 2*(23*o - 2)*(47*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 7*h - 8. Let i(x) = -6*x**2 + 21*x - 24. Let r(z) = 4*i(z) - 11*n(z). Let a(w) = 2 - 1 + 0*w + 0*w - w. What is -5*a(t) - r(t)?\nAnswer: 2*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1821928 by -4.\nAnswer: 455482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjjwjwjwjjjwjwjjj. What is prob of picking 3 j?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021202120 (base 3) in base 9?\nAnswer: -37676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 9 = 0. What is the remainder when 24 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -473? (a) -874.7 (b) -0.6 (c) -1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 39 + 9 = -k, 0 = o + 2*k - 10. Let d be 2\/(-7) - 64\/(-28). Calculate the smallest common multiple of o and 0 - (-2 + 0\/d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -104, -161, -216?\n\"Answer: b**2 - 62*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94.5 + -94.2. Sort -0.038, 2\/13, p.\nAnswer: -0.038, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**2 - 6*u - 2. Let o(i) = 7*i - 48. Give o(n(c)).\nAnswer: 84*c**2 - 42*c - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -289\/5. What is the smallest value in 1, b, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1227 + 1100.3. Let q = -127 - k. Which is the nearest to -1\/2? (a) -2\/7 (b) q (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 - 130. What is b in 810*b**2 + 56*b**3 + f - 513*b + 67 + 67*b - 22 + 0 = 0?\nAnswer: -15, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6030?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13364*f - 547920. Determine o(41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 2479.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Suppose x - 6*x - 525 = p. Calculate the common denominator of -1 + (x\/(-27) - -2) and -36\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -519 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3992709 to the nearest integer?\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1007819221*k + 666955111.\nAnswer: 1007819221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -1, 4\/3, 2\/3 in descending order.\nAnswer: 4\/3, 2\/3, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5802989\/206 - 28170. Find the common denominator of 835\/(-140) - (-3)\/4 and v.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 31104 = -4*p, 4*p - v - 27754 - 3350 = 0. Is p a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -53, 2, 0.5, 18?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 23, 6, -19, -58, -117?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177672 or -177512?\nAnswer: -177672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -217 + 321. Suppose -2*n + 92 = -5*r, 0 = n + n + r - g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -932\/89 - 182858\/267. Let z = -694 - g. Factor 1\/3*q**3 + 0 - 1\/3*q**4 - 4\/3*q + z*q**2.\nAnswer: -q*(q - 2)*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 8*x + 27. Is q(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 1250 + 5517 - 2*f + 2*f + f.\nAnswer: f + 6767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -7 - 6925\/1939?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + -1. Suppose -7 = -5*q + s, -3 = 3*q + s - 4*s. Suppose 5*y - 3*y + 2 = 2*b, b + 2*y = -q. Sort t, -1, b.\nAnswer: t, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 3)*-1 - (4 + -1). Is (-1)\/(-4)*(5598 + n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1730 + -1670. Let x = 4 - -11. Calculate the highest common divisor of d and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(931) - sqrt(931))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129638811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 82.532um?\nAnswer: 0.000082532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -20654514?\nAnswer: -20654516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 3\/40*i**6 - 27*i**2 + 0*i + 0*i**4 + 0*i**5 + 0 - 1\/3*i**3. What is the first derivative of t(m) wrt m?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -5931\nAnswer: -593.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7.4. Let f = 13.4 - 16. Let o = d - f. Is -1 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 16*z + 11 - 2*z**2 - 4*z**2 + 5*z**2 + 3*z**2. Let h be g(-10). Differentiate 91 - 48 - h + 2*n**4 - 11*n**4 with respect to n.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(0 - 2\/(-5)). Let a = 9 + r. Suppose 0 = -2*h + a + 6. Calculate the highest common factor of 40 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 - -398. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001991 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7051739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 899\/(-217))*21\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/3 - 22*z + 68\/3 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:58 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358211, -717375, -1076539, -1435703, -1794867, -2154031?\nAnswer: -2513195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (67\/6)\/(109\/(-75864)*-116)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11050933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 135\/10 + 2\/(-4). Suppose -4*t = 3*p - l, 2*t = 4*p + 5*t - 15. Let m(y) = y**2 + 3. Give m(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665.8304177 rounded to 1 dp?\nAnswer: -1665.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 4*j + 295116 = 0, -5*g + 163385 = 4*j - 21064. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -263*y**3 - 325*y**3 + 212*y + 235*y - 447*y + 6*y**2 to the form l*y + i*y**3 + x*y**2 + z and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:32 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109435747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkkxrkkkookkk. What is prob of sequence rx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (47 + -26 + -2 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 505\/3. Factor -1\/3 + a + r*a**3 - a**2.\nAnswer: (a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t - 80. Let j be t\/6*3\/(-5). Solve 7*o**2 + 0*o**2 + j*o - 5*o**2 + 0*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1084*l**2 - l + 18. Determine a(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 4*c. Suppose c = 5*k - 2309 - 1361. Suppose -4*z - k = -d - 6*z, -2*z + 4 = 0. Round d to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 391190 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*r - 6971 - 5637, -2*r + 5040 = 2*a. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:21 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(240) - (-2*sqrt(240) - sqrt(240))*-2))\/((sqrt(192) - (-2*sqrt(192) - sqrt(192))) + sqrt(120)\/sqrt(10) + sqrt(3))*-6.\nAnswer: -72*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -18, -155.\nAnswer: -155, -18, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/40840 and 109\/781040.\nAnswer: 797441840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 193 - 43 = -26. Solve -f*v + 4*v = 11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2897, -5795, -8691, -11585, -14477, -17367, -20255?\nAnswer: -23141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let s be o(5). Let i(x) be the first derivative of x**3\/3 - 3*x**2 - 3*x - 2. What is the units digit of i(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179591894599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 26*b**2 - 11*b**2 - 16*b**2 - b + 8. Let i = 38 - 38. Give g(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28749.5766 from -1.805.\nAnswer: 28747.7716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2. Let a be 10\/4*(3 - 1). Suppose 17 = 2*w + a*q, 5*q = -5*w - 11 + 46. Let h(k) = -4*k + w*k - 2*k - k. Give h(c(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 4 + 17784*n**2 + 17656*n**2 - 35446*n**2 - 4.\nAnswer: -3*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.37 + 1.33. Sort -1\/2, 0.3, -0.2, a in increasing order.\nAnswer: -1\/2, -0.2, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923825309.\nAnswer: 11, 211, 398029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 224*n**3 + 4320*n**2 - 31104*n + 46656.\nAnswer: 4*(n - 18)**3*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4074151*a*q + 1801406*q wrt a.\nAnswer: 4074151*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2711 + 0.1289. Sort 0.04, 3, v, 2\/7 in ascending order.\nAnswer: 0.04, 2\/7, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51495516*r - 4987565.\nAnswer: -51495516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 2*p - 5 - 3*p**2. Let s be z(4). Let n = 741\/14 + s. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4369 is divided by 1101.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 0*o**2 + 41*o**3 + 4 - 4 + 2*o**3 + (-o - o + 3*o)*(2*o**2 - 3*o**2 + 3*o**2) in the form l*o + p*o**2 + q + u*o**3 and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*w**2 + 17 - 17)*(-2*w + 8*w - 2*w)*(3*w + w - 5*w) + (0 - 1 + 0)*(0*w**4 - 4*w**4 + 2*w**4) - 3*w**4 - 4*w**4 + 0*w**4.\nAnswer: -185*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:30 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2761768 and 1035663.\nAnswer: 8285304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 30715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5565 - -39\nAnswer: -5526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -1\/2*p + 9\/8*p**2 - 1\/4*p**4 - 1\/4*p**3 + 4. Factor d(c).\nAnswer: -(c - 1)*(c + 2)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8)*64\/(-2). Suppose 6*z + 6 - i = 0. Find the second derivative of -b**3 - 5*b**3 + 0*b - z*b wrt b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4584 and 11\/2928603.\nAnswer: 23428824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + ((sqrt(5324) - 2*sqrt(5324)) + 3)*2 + 4)**2.\nAnswer: -1056*sqrt(11) + 21440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*-6)\/(sqrt(30)\/(sqrt(3) + sqrt(48))).\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p = -12. Let q(c) = -2*c**2 + 5*c - 6. Let k be q(p). Let o = -9 - k. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 3. Let z be l(6). Let f(n) = -n**3 + 5*n**2 + 6*n + 5. Let a be f(6). Suppose 0 = -2*u - 5 + 13. Put z, u, a in increasing order.\nAnswer: z, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*k**2 - 96*k + 4 = 0.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 110*g + 111*g - 17 = 0, 2*d = -2*g + 22 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3457 - 3397. Calculate the greatest common divisor of b and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/3277*108\/(-108)?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047480 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h**2 - 25 + 39\/4*h**4 + 0*h - 13\/3*h**3. Find the third derivative of q(g) wrt g.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 4134.91 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -35689, -22118, -8547, 5024, 18595, 32166?\n\"Answer: 13571*p - 49260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.459 + -0.059. Let o = -42 + i. Which is the biggest value? (a) o (b) -3 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**4\/12 - f**3\/3 + 8*f**2. Let n = 5 - 3. Give s(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/12 + 8*o**3\/9 - 7*o**2\/2 + 6*o - 501. Factor c(w).\nAnswer: -(w - 3)**2*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 3*o + 21, -v + 234*o - 302*o - 239 = 0 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1515874 in -1\/24, 0.2, -2\/7, 3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7619053*c**2 + 6718464 wrt c.\nAnswer: -15238106*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -t + 100, i + 5*t + 1 = 25. Suppose -4*c + 18 = -i. Find w such that 0*w**2 + c + 3 - 8 - 2*w**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0541461 from -564552.\nAnswer: -564551.9458539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -19 (b) -4 (c) -22 (d) -1\/431 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (23 + (-20 - -4))) + -2 + -31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1304774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4071, -8143, -12215, -16287, -20359, -24431?\n\"Answer: -4072*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16004, 31982, 47968, 63968, 79988?\n\"Answer: v**3 - 2*v**2 + 15977*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -771 - -776. Suppose 235*a + 3 = 237*a - 3*i, a + 5*i + c = 0. Let j be 38\/4 + 1\/(-2). Solve a*t = -3*t - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 527302 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-86 + -58 + 72).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166\/385 + -4\/35. What is the closest to 1 in -0.4, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 160 in 0.06, 0, -9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 - 10*a**4 + 20*a**3 + 10*a**2 - 15*a = 0 for a.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 44 = 557. Let f(p) = -p**3 + 10*p**2 - 8*p - 24. Let w be f(9). Let h be z\/(-15) - (-6)\/w. Which is smaller: 10 or h?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 15*p**2 + 18*p + 16. Let j be v(-16). Let q = -13 - j. Calculate the highest common factor of q and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let k(u) be the third derivative of -u**5\/60 - 11*u**2. Determine k(f(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxkm when four letters picked without replacement from ukxmmmxmmmkxmmx?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*(-48)\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**2\/7 + 198*g\/7 + 372\/7.\nAnswer: 6*(g + 2)*(g + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*f\/f**11)\/f))**(2\/159)*(f**(-4\/3))**(-7\/2) assuming f is positive.\nAnswer: f**(254\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c**3 - 4*c**2 - 2*c - 2. Let a(b) = -14*b**3 + 5*b**2 + 2*b + 3. Give -2*a(z) - 3*k(z).\nAnswer: -11*z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*h - 68*h + 10*h.\nAnswer: -133*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 11) to base 7\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z**6)*z**(-1\/6))\/(z*z*z**0\/z*z)**(1\/30))**(-42) assuming z is positive.\nAnswer: z**(1099\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112055 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11805720024 take away -0.5?\nAnswer: 11805720024.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 792 = 4*x, -4*x = 22*q - 19*q + 1190. Which is bigger: q or -399?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -5*j**3\/3 - 7*j + 1. Let r(x) = -1. Let f(p) = o(p) + 2*r(p). Differentiate f(h) wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 8*p + 48. Calculate the remainder when p is divided by (-45)\/(-6)*6\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d = 200*d - 14 + 42 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - b?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 578 and 1383821590?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 202 + 1045656?\nAnswer: 1045858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q**2 + 3*q)*(3*q + q - 3*q) + (8 - 5 + 5)*(4*q**3 - 2*q**3 - 4*q**3).\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*r + 5520 = 231*r. Suppose -4*l = l + 5*j - r, -j = -2. What are the prime factors of l?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413101 (base 5) to base 15\nAnswer: -401b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czw when three letters picked without replacement from zcwwwcwcwzc?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 35. Let u(r) = -240*r + 87. Let j be u(-18). Let g(l) = l - 4407 + j. What is a(g(x))?\nAnswer: -2*x - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5 - 21. Let z = 21 + -19. Solve 8*n - z*q = 3*n - c, -n = 3*q - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 253\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -13 + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 10.422293?\nAnswer: 11.422293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3 - 19*d + 7*d**2 + 5*d + 22 - 8 - 6 = 0 for d.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 8. Let i = z + 14. Let c be 0\/5 + (i - 0). Sort -1, -2, c in ascending order.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + 4*v - 4*v + (0 + 0 + 1)*(-2*v**2 + 3*v**2 + 0*v**2) + 43536 - 43536 - 577*v**2 in the form i*v + o*v**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -24.1 (b) 9 (c) -4\/89 (d) -3 (e) -2\/7 (f) 1 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -329117*h + 3*h**2 - 4 + 2 + 329111*h - h**3 - 5*h**2. Calculate n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*p**4 + 33*p**3 + 3*p**2 + 3254*p?\nAnswer: 168*p**2 + 198*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 234\/156*4\/(-3)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -1042319102.\nAnswer: -1042319101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/99 and 39\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 1\/4 (c) -1 (d) 4 (e) 407\/15 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 733499*v**6 + v**2 - 24383*v - 1.\nAnswer: 88019880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1100) + 0) + 4)*5)**2.\nAnswer: -2000*sqrt(11) + 27900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653936.\nAnswer: 2, 23, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2\/7*v**5 - 6\/7*v**4 + 2\/7 + 4\/7*v**3 - 6\/7*v + 4\/7*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*u - 41379004, -2*u - 15*r + 17*r + 27585998 = 0. Round u to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109)\/10 + -1 + (-38)\/380?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -48553?\nAnswer: -48552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6) + -3 - (5 - 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**3 + 20*i**2 + 20*i - 431. What are the prime factors of a(13)?\nAnswer: 2, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqzf when four letters picked without replacement from aqnzaanzazfnxaf?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 578*x**2 + 16792*x\/7 - 20838\/7 = 0. What is x?\nAnswer: -10419\/2023, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1998 and -31\/1184?\nAnswer: 31968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516*s**2 - 1035*s**2 + 501*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 46197 = -26*d + 50*d. What is the highest common factor of 675 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*c + 13. Differentiate c + 4 - 10*x + 5 wrt x.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*90\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3. Let u be (-1)\/(n\/9 + 0). Suppose 2 = u*p - p. 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 ((-31)\/(-310))\/(15\/(-25))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197473 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:19 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/12 - 133*g. Let w(d) = 2*d - 29. Determine b(w(h)).\nAnswer: 4*h**2 - 116*h + 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20 - -20)*(-1 + 0). Let w(p) be the third derivative of 0*p + c + 1\/18*p**4 + 1\/9*p**3 + 2*p**2 + 1\/90*p**5. Factor w(k).\nAnswer: 2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138541241 - 268*o - 138541241 + 35*o.\nAnswer: -233*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46508743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 162 - 186.4. Let q = 29 + v. Let d = q - 4.6000084. Round d to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16174241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1156059 - 589748. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9487.91 rounded to the nearest one hundred?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2773429 and -1?\nAnswer: -2773429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 607352, 607591, 607830, 608069, 608308?\n\"Answer: 239*r + 607113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-18))\/((-4)\/(-6))*(-237)\/869\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.20527*15.51.\nAnswer: 3.1837377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9563 - 9522 - (1 + -51)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -685662, -685665, -685668, -685671, -685674, -685677?\n\"Answer: -3*a - 685659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/47)\/(z*z**2))**(-1\/6) assuming z is positive.\nAnswer: z**(143\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + (sqrt(343) - 1*sqrt(343)) - sqrt(343)) + sqrt(343) - (-5 + sqrt(343) - (5 + (sqrt(567) - sqrt(7)))))**2 + 5.\nAnswer: 22*sqrt(7) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -745 + 959. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*b**3 + 6427*b - 23*b**2 + 5292*b**5 - 5294*b**5 + 23*b**2 wrt b?\nAnswer: -40*b**3 - 1518*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18389397 and 2739.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 + 16*b - 16 = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Let c(i) = 2*i**2 - 6. Suppose 11*u + 0*u + 22 = 0. Let b be c(u). Let d(n) = -6*n**2 - 9*n**b - 8*n**2. Calculate q(d(j)).\nAnswer: 529*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 - (1 - (7 + -14))) - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47583 divided by 458.\nAnswer: 47583\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 419386885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - -107. Let b = -128 + v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a + 2 = 2*w, 0 = a - 3*w - 17. Let j(t) = -t**3. Let l be (-1)\/(6\/(-2)*(-1)\/3). Let r be j(l). What is the highest common divisor of a and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -14. Suppose z*d - 2 = 49. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/((-3)\/(-4)). Let m(f) = -f**2 - 3*f. Let c be m(-3). Suppose 4*i - 2*d - 8 = 0, c*i - 12 = 5*i + 3*d. Sort i, 14, x in decreasing order.\nAnswer: 14, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*z - 4*z = 1473, -3*z = 2*y - 969. Let u = y - 10267\/21. Let k = -129.4 - -130.4. Which is the biggest value? (a) u (b) 0 (c) k (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 3.9. Let v = s + -26.6. Which is the third biggest value? (a) 3\/5 (b) -2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 94\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 2. Suppose g + 82*o = 85*o - 1, -3*g + 4*o + 2 = 0. Suppose g*l - 6961 = -m + 2461, -5*l - z*m = -23555. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = g, 17*f - 16*f = 5*g + 26. Suppose 2*b + 0 - 2 - b**3 - f*b + 7*b = 0. Calculate b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-65))\/(-3)*(-26)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 538 divided by -871\nAnswer: -538\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*s + 25859 + 13582, 49304 = 5*b - s. Let z = -477398061\/20 + 23879767. Let y = z - b. Find the common denominator of -113\/18 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a microsecond in nanoseconds?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -14. Let o = 36 - 20. Let l = o + 10. Calculate the least common multiple of c and l.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = 5*y. Suppose y = 6*c - c + 2*p - 291, 3*p = -3*c + 171. Let l = c - 27. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 28\/3 (b) -13 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:33 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, k: 4, w: 2, x: 1, q: 2}. Give prob of sequence aqwx.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:20 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {u: 2, k: 2, s: 4, p: 4, o: 8}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + m + 1 + 4 = 0, -z - 2*m = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + g + 2*g + 3*g + 5*g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1410674.8*0.5.\nAnswer: -705337.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2460 or -2362?\nAnswer: -2460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**3 + 3*c + 5. Let q(y) = 14*y**3 + 8*y + 14. Give 11*b(t) - 4*q(t).\nAnswer: -t**3 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -128, -126, -124, -122, -120?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/27)\/(-2))\/((-1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 736*x**2 + 937*x - 3. Let l(c) = -c**2 + 8*c + 1. Let m(h) = 3*l(h) + v(h). Find the second derivative of m(p) wrt p.\nAnswer: 1466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10096541 or 10096540?\nAnswer: 10096541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(45) + sqrt(35)\/sqrt(175).\nAnswer: -44*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 7*n = -3*q + 2, -3*q = 6. Let v(r) = 2*r + 21. What is v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 2\/3*s**2 - 50\/3*s = 0.\nAnswer: -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-1 + 1 + sqrt(1053) + sqrt(1053))**2 - (sqrt(1053) - (5 + sqrt(1053)*-1)).\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 47244.06us?\nAnswer: 0.04724406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4168*f - 3251*f - 207732 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-626 + 482 + 2182)*(-1 + 1 + 3*d) in the form y + w*d and give w.\nAnswer: 6114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*w**4*x + 4*w**3*x - 1205*w**2*x - 10*w + 21521*x wrt w?\nAnswer: -192*w**2*x + 24*w*x - 2410*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.4158 + -0.1158. Let f = 27 - k. Let y = f - -26. Are -2 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84.498033 + -84.5. Let j = -59 + 58.998. Let n = j - d. 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: What is 1210.1 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -3748651?\nAnswer: 3748651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 237*y + 4831. Give d(-20).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 1 - 19 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 1 - i**4 + 5\/2*i - 5\/2*i**3 + 0*i**2 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, x: 3, o: 5}. What is prob of sequence oxx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**2 - 121*n - 1417. Is 7 a factor of h(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 14*u + 69. Let c(a) = -8*a**2 - 6*a + 5. Let o be c(1). Calculate the lowest common multiple of w(o) and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4\/9 (b) 2\/13 (c) -216 (d) -0.0297 (e) -2\/13 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 15*m - 9*m. Let n(o) = -o + 1. Let p(a) = 3*a - 3. Let t(j) = -7*n(j) - 2*p(j). Let k(u) = -4*u + 2. Determine m*t(r) - k(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 76?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -1, 98, 0 in descending order.\nAnswer: 98, 0, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12\/23 + -154\/207. Which is the second smallest value? (a) 75\/17 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8593 + -0.4593. What is the closest to -0.1 in -14, 1\/2, 1\/19, o?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let f(v) = -2*v - 66033. What is o(f(g))?\nAnswer: -4*g - 132066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*195*44\/10296.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 9:43 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 109 = 2*o + 68, -3*o = 5*u + 295. Let b = u - -119. Calculate the greatest common divisor of b and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 125 - 8*v - 404 - 30*v - 156*v**2 - 395. Let i(m) = 32*m**2 + 8*m + 135. Let f(h) = 14*i(h) + 3*p(h). What is the derivative of f(w) wrt w?\nAnswer: -40*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 11. Let u = 34 - 46. Let o be i(u). Let n be (o\/3)\/(1\/(-5)*-5). Sort -0.5, 2, 4, n in descending order.\nAnswer: 4, 2, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 841874.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -53, -114, -191, -278, -369?\n\"Answer: g**3 - 17*g**2 + 5*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let w(g) = -2*g + 1749. Calculate w(u(s)).\nAnswer: 2*s**2 + 1749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7042 and 1794674?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a2 (base 13) in base 2?\nAnswer: -10000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -201205, -402409, -603613?\n\"Answer: -201204*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 170731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 5283.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*a - 1435 + 22561, -5*a = 25. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (954\/(-27))\/(6\/(-9)). Let m = 57 - n. Suppose 0 = 4*v + m*d - 20, -4*v + 6*v - 5*d = -11. Solve -2 + 0 = v*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 93*h**2 + 127*h + 867. What is the tens digit of f(-91)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*w**3*z**3 + 2*w**3*z**2 - 21*w**3 wrt z?\nAnswer: 33*w**3*z**2 + 4*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 - 121*r**2 + 67*r**2 + 291*r**2 + 3*r.\nAnswer: 255*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, -36, -286, -772, -1572, -2764, -4426?\nAnswer: -6636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/16)\/((-9750)\/(-4880) - 2). Which is the closest to 2\/3? (a) -0.07 (b) r (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u + 109*u - 865 = -88*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00791533685 to 7 decimal places.\nAnswer: -0.0079153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -4*k + 506. Let p = -165 + k. Solve 0*c + 2*c + 8 = p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.95 + 39. Let j = d - 0.05. Sort 2, j, 0.5 in increasing order.\nAnswer: 0.5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796016375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243989624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62104 divided by 4.\nAnswer: -15526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 1, u: 1, n: 1, j: 1}. What is prob of sequence yuz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 6*g - 1. Let f be i(-6). Let n be (f\/2)\/(4\/(-784)). Suppose 0 = 9*w - 8*w - 14. What is the greatest common divisor of w and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:01 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from {m: 1, l: 1, p: 2, c: 3, r: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (sqrt(605) + 0 - sqrt(605)))**2*3.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(5*z**2 - 2*z**2 - z**2) + z - 3*z + 2*z**2 - 5*z**2 - 1 + 2*z**2 + 1.\nAnswer: -5*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*(-7)\/(28\/(-16)). Solve 4*y = h - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484462124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1856 = 4*d, -5*u + 129 = 2*d - 799. What is the remainder when d is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16819134257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -18a4dc5?\nAnswer: -18a4dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/12) + 2. Let l be 2\/5 + i\/10. Suppose l = -v - 2 + 4. Solve 5*y + p = 22, -4*y + 6 = -4*p - v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7902 and 64972.\nAnswer: 584748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 3*g**2 + 7*g - 23. Is d(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8715 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Suppose 2*c - 3*s = -20, -2*s + 16 = 2*s. Let g(p) = 13*p + 9. Let j(k) = 6*k + 4. Let a(b) = c*g(b) + 9*j(b). Calculate z(a(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 220 = 50*h - 52*h, 3*h = -n - 60. Let l be ((-42)\/315)\/(12\/n). Let -11\/5*g + l*g**2 - 1\/5*g**4 + 3\/5*g**3 + 6\/5 = 0. Calculate g.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u\/(u\/(u\/(u*u\/(u*u\/(u**(-1)*u))))*u)*u)*u))*u)**8\/(u*u**1)**(-36))**(9\/7) assuming u is positive.\nAnswer: u**(792\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 215?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 - 15 = -4*t, -2*t + 38 = 2*u. Factor -1\/4*i**t + 1\/2*i**4 - 1\/2 + 1\/2*i**3 + 7\/4*i - 2*i**2.\nAnswer: -(i - 1)**4*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 31 = 24*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42879.9582 - 42871. Round b to two decimal places.\nAnswer: 8.96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38174 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4671, -4664, -4657, -4650, -4643?\n\"Answer: 7*f - 4678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/127 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 2*t - 3*t)*(-815 + 19*t + 453 + 416).\nAnswer: 38*t**2 + 108*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1560, -6181, -13882, -24663?\nAnswer: -38524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 17*l - 68. Let v = -37 - -47. Let s be a(v). Solve 1 = s*n - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 32*w + 17\/3*w**3 + 0 + 35\/2*w**2. What is the derivative of g(r) wrt r?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p**3 - 31*p**3 + 20*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -18*o**2 - 539*o + 14. Give k(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of -321*(-5 + (-130)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31127876 by -4.\nAnswer: 7781969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7*f**2 + 143 - 6*f**2 - 137.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j + 18. Let p(h) = 23*h - 55. Give 17*a(l) + 6*p(l).\nAnswer: 2*l - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-166)\/(-24))\/((-20)\/(240\/42)) and 79\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(1 - 1 - 1)*(1 + 0 + 1)*(5*b - b + 2*b)*(-2*b - 7*b + b) to z*b + u + w*b**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*l - 3575 = -16805 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17190 - 2*m**2 + 17190.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14795 divided by -2959\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i - 3*i)*(1 - 1 - 2*i**3) + (3457*i - 2*i**3 - 3457*i)*(-i - 2*i**2 + i).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311225486 to the nearest integer?\nAnswer: 17642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10*n**2 - 2*n**4 - 136*n + 136*n to the form b*n**3 + t*n**4 + l + i*n**2 + q*n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d - 174*d**2 + 170*d**2 - d**3 + 2*d**3 in the form h*d**2 + y*d**3 + j + v*d and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14931*p**3 - 4*p**2 + 2*p + 2. What is the ten thousands digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -11*d + 1106. Let l = d + -79. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 12*w**3 + w**3 - 2*w + 2*w + (-w**2 + w**2 + 2*w**2)*(3*w + 0*w - 2*w) + w**3 + 3*w**3 - 2*w**3.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 9 = -3*m, 5*y + 523 = 5*m + 498 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -0.06 (c) 449\/5 (d) 2\/17 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 256, 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -7. Let y be (-17 - -16) + 18\/p. Which is the closest to 2\/5? (a) 3 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-3 - -7))\/(-2). Suppose -4*y = -2*x + 21 + 13, 4*y - 4*x + 36 = h. Calculate the common denominator of 4\/y - (-70)\/3 and 27\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1391, -1414, -1437, -1460?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-2\/5))**(7\/4)\/(g\/(g\/g**(-1\/2)))**1 assuming g is positive.\nAnswer: g**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255518 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.2 (c) -0.5 (d) -262.17 (e) 1\/2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 - 2*c - 1. Let p(h) = -h**2 + h + 1. Let r(v) = b(v) + 2*p(v). Suppose 5*x - 3 = -2*f, 0 = 5*x + 4*f - 2 + 1. What is the units digit of r(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -38, -106, -232, -434?\n\"Answer: -3*j**3 - 2*j**2 - j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 445, 888, 1331, 1774, 2217, 2660?\n\"Answer: 443*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-48)*(-26 - (-13496)\/532)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243 + 428. Let q = c - 107. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -7*c + 4*i - 1472, 5*c + 4*i - 7408 = 0. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 5*k)*(3 + 2 - 4) - k - k + 0*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, 4, -10 in decreasing order.\nAnswer: 4, -1, -10, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 607 (base 12) to base 15\nAnswer: 3d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7166 = -29*v + 297102. Suppose -6*d + 2*d - 4*q + v = 0, d - 2629 = -4*q. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-192)*-1*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1619*v - 21176. What is n(13)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58191 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4957 take away -207133.52588?\nAnswer: 212090.52588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 10:14 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5400, 5402, 5398, 5388, 5372, 5350, 5322?\nAnswer: 5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -21. Let d be (-8)\/6*p\/40. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.87301cm in micrometers?\nAnswer: 568730.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5220288 and 13\/16416.\nAnswer: 5220288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -1\/2*o**4 - 7\/6*o**3 + 0 - 2*o - o**2 - 1\/20*o**5. Calculate p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 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: Which is the smallest value? (a) -2\/9 (b) 5 (c) 2 (d) 8 (e) -4 (f) 14 (g) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -7*g**4\/4 - 2*g**2 - 1. Find the second derivative of c(y) wrt y.\nAnswer: -42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 2\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -3*c**2 + c + 4. Give b(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let c(n) = 2*n - 6. Let v be c(6). What is the derivative of -2 - 6*w**m + v*w**4 - 2*w**4 wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 416959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2162 - -2176. Let i(r) = r**3 - 12*r**2 - 29*r - 8. Give i(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 18*z**2 - 74*z - 1153. Determine c(-18).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186.7 + -187. Let h = 0.04 - 0.01. Let l = -0.17 - h. What is the closest to 1 in l, -1\/7, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -16*(-4827)\/42 - 3\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = y. Suppose u = y, 2*u + 88 = 2*k + 4*u. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, j: 2}. Give prob of picking 4 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6)*12\/(-8). Suppose -v*d = d. Let s = 1 + d. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**5 - i**5 + 4*i**5)*(3 - 6 + 1) + i**5 - 2*i**5 - i**5 + 46*i**4 - 46*i**4 - i**5.\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - 5*s**2 + s**2)*(0*s**2 + 6*s**2 - 5*s**2) - 959*s**4 - 8772*s + 8772*s in the form d*s + k + u*s**3 + l*s**4 + j*s**2 and give l.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (-39 - (14 + -28))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 12 = -4*c, 0 = 2*c - 3*x + 1 + 1. Let p be c\/3 - 12\/(-9). Solve 3*w - 7 = 2*m, p*m + m + 4*w + 19 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 14 = -3*h. Suppose 0 = -5*u + 3*k + 732, -h*k - 160 = -u - 3*k. Suppose -7*n = -3*n - u. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -260, -943, -2310, -4595, -8032, -12855?\n\"Answer: -39*h**3 + 9*h**2 + 13*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -25*k**3 + 30*k**2 - k + 1. Let m be z(1). Sort -5, -4, 8, m.\nAnswer: -5, -4, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 + 3*q + 4. Let h be a(5). Let p = h + 10. Is (1255\/10)\/(2\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -169, -193, -239, -313, -421, -569, -763?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 h when three letters picked without replacement from hhhhwwhwwhwhwhhhwwhw.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101010100100?\nAnswer: 101010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 8680\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 562856.8um in nanometers?\nAnswer: 562856800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137.5392 - 244.2939. Let z = -106.8 - o. Round z to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 1\/6, -51156 in increasing order.\nAnswer: -51156, -4, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 417358 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(28))**2 - sqrt(28)) + sqrt(28) + (sqrt(196)\/sqrt(112))**2 - (-5*(sqrt(252) + (2*sqrt(252) - sqrt(252))) + sqrt(252))\/sqrt(9).\nAnswer: 6*sqrt(7) + 155\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3177, 6616, 10055, 13494, 16933, 20372?\nAnswer: 23811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1471130985844 + 44.\nAnswer: -1471130985800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7648*k**3*m**2 + 5*k**3*q - k**2*m**2*q + 1368*k*m*q - m wrt m.\nAnswer: -15296*k**3 - 2*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -16639757049539.8.\nAnswer: 16639757049544.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 48 = -h. Let u be ((-4)\/h)\/(1\/4)*3. Solve 1 = u*d - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21585 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3098969669 + 0.2.\nAnswer: 3098969669.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 3*t**3 + 3*t**3)*(2*t**2 + 2*t**2 - 2*t**2)*(-11 + 4 - 2).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/2396778 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001111210 - -10?\nAnswer: -122001111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3, -7, -17?\n\"Answer: -10*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/3, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 + 11 = -11*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -508, -494, -480?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:14 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = -37*x - 24. Sort 0, x, 1, -6 in descending order.\nAnswer: 1, 0, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*g**3 + 0 + 650*g**3 + 91 - 2*g - 648*g**3 - 113 + (1 + 2*g**2 - 1)*(2*g + 0*g - 4*g) - g**3 - 2*g + 2*g.\nAnswer: -g**3 - 2*g - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 1)*(4128\/(-20))\/(-8). Let y = m + 104. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -48724.\nAnswer: 24362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10387 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 72 - 82. Factor 4*m - 8 - 1\/2*m**b.\nAnswer: -(m - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -9 + -2 + 43 - (-110 - -125)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1641120 and 1230840.\nAnswer: 4923360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 4*v**2 + 1594*v - 1597. Calculate d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, -1\/30, 43, 1.1, 1\/492?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -36089 (c) 7 (d) 0 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1130876 and -59\/69?\nAnswer: 78030444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let i(d) = 26592 - 26592 + 26*d**2. Determine i(p(m)).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 50596?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-35900)\/(-546) - 2680\/(-28140) - (-1 + 11\/13)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -736, -1018, -1308, -1606, -1912?\n\"Answer: -4*l**2 - 270*l - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752617?\nAnswer: 19, 92243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002868089747 to six dps.\nAnswer: -0.000287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.78 + 37.2. Let p = -1.58 - y. Let q be ((-3)\/(-2))\/((-126)\/(-8)). What is the second smallest value in -5, p, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6\/11, 5, -25\/2, -4\/9, 0?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4 = 4 - 12. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 5*u**2 + 4*u - 5. Suppose 0*n - 11 = 2*n - 5*l, -9 = -2*n + l. Let g be (-190)\/16 - 3\/24. Let p be 3\/(n - 1)*g. Determine i(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -5, -5659, -2 in increasing order.\nAnswer: -5659, -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/25, 15, -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15\/7 + -16\/7. Let t = 0.6 - 0.9. Which is the second biggest value? (a) -2 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269597, -269599, -269601?\nAnswer: -269603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 212 = -4*v, -p + 3*v = -3*p + 89. Suppose 150 = p*x - 35*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 138\/5, -66.\nAnswer: -66, -2\/21, 138\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by 22633\nAnswer: -109\/22633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 245 = -10*x. Suppose 336 = x*l - 43*l. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*l*q**4 - 33*l*q**3 - 149*l - q**4 - 3 wrt q.\nAnswer: 32*l*q**3 - 99*l*q**2 - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 1796033?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*v + 15*v - v)*(-5*v - 6*v + 2*v).\nAnswer: -729*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-2)\/(-2) + 1. Let t(x) = 3*x - 9. Let u be (-6)\/((-13)\/(1053\/(-54))). Let m(k) = 13*k - 36. Determine d*m(o) + u*t(o).\nAnswer: -o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = 2*l - 4, 3*y = -5*l + 20. Let f(o) = -o**3 + o**2 - o - 17. Calculate f(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z**2 - 6*z + 6. Let b = -1674 + 1680. Let g(f) = -16*f**2 + 5*f - 5. Determine b*g(r) + 5*d(r).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19624337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*-24*(-252)\/5184.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 5576.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1175, -2\/9, 0.03?\nAnswer: -1175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 10*t = -8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8035*s + 32191. Give d(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k**2 + 0 + 32*k - 1 + 11*k**2 + k**2 + 3*k**3 to w + r*k**3 + y*k + p*k**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 - 27412*x**2 + 519384*x = 0.\nAnswer: 0, 19, 6834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 51*g - 1. Let a(f) = -14*f**2 - 12564*f + 2. Calculate a(b(r)).\nAnswer: -36414*r**2 - 639336*r + 12552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(-1\/5))\/l)*l)**(13\/5)\/(l\/(((l*((l\/l**12)\/l)\/l)\/l)\/l*l)*l*l*l**(1\/5)) assuming l is positive.\nAnswer: l**(-288\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11329 is divided by 347.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 5*a**2 - a + 5. Let s be l(-4). Let v be (-4)\/14 - (-40)\/s. Let b(q) = -q**3 - 6*q**2 - 4*q. Is b(v) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7714634 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 10283.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**4 + t**4 + t**4 + (4*t + 3*t - t)*(5*t - t**2 - 5*t)*(10 - 10 - 5*t) to q*t**2 + d*t**3 + u*t + h*t**4 + a and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3167602480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 u when three letters picked without replacement from yykuyykokyjkkjoukkk?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:51 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Suppose -2*d = -8, 34 = v*h - 4*d - 10. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 221031?\nAnswer: 221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 4*o**3 + 4*o**3)*(0*o - 4*o + 2*o) + (3*o - 6*o + 4*o)*(4*o**3 + 4*o**3 + 0*o**3) + o**4 - 3*o**4 + 0*o**4.\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Let d be ((-10)\/4)\/(4\/(-8)*7). Let i = d + -2\/7. Which is the closest to 2\/5? (a) i (b) p (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {u: 2, w: 1, x: 1, v: 1, z: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 22627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 d when four letters picked without replacement from dmvvmvmdvdmvvvdmmm.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2160 + 1332. What are the prime factors of r?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-48)\/(-72) - (-93)\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (1 + 2 + 0 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894058463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*v - 67*v + 965. Solve -v*r - 166 + 151 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0, -2, -1, -349, -12 in decreasing order.\nAnswer: 2, 0, -1, -2, -4, -12, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1186695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 391243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/2))**(1\/6)*(j**(-1\/2))**20 assuming j is positive.\nAnswer: j**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78799626 is divided by 2781.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34\/(-12)*-3)\/(3\/(-6)). Let u be (477 + 0)*p\/(-1). Suppose 16*n - 7*n = u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1193.3 - -1193. Sort -5, v, 205\/3 in ascending order.\nAnswer: -5, v, 205\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*3*(-12)\/171\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, m: 2}. What is prob of sequence pmo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 4 + 4 + (-x + 0 + 0)*(-5 + 2 + 1) + 0*x + 4*x - 5*x + 25 - 10*x - 25)*(2*x - 4*x + 0*x).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15*(-30)\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87268.\nAnswer: 2, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-1))\/(-2)*-1. Let n(i) = p + i + 3*i - 2*i**2 - 7. Give n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 4672?\nAnswer: 32704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256 - -251. Let h(w) = 24*w - 37. Let q(n) = 8*n - 12. Let c(k) = -6*h(k) + 17*q(k). Is 15 a factor of c(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794952354?\nAnswer: 2, 13, 43, 137, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 81472\/(-28006)*11\/(-7)\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14716 + -14711. Solve 13 = c + q*k, 1 + 0 = -3*c + 5*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/((-4*sqrt(80) + sqrt(80))\/sqrt(8))*-6)\/((1*sqrt(900))\/((sqrt(900) - 2*sqrt(900)) + sqrt(9))).\nAnswer: -18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/((-21)\/(-7)*1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -12 (b) -3\/4 (c) -7 (d) 2\/13 (e) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 496887816?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(880)*2)\/((2*sqrt(88) + sqrt(88))\/sqrt(8))*1.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 4*q**5 - 2*q**5 + (-64 - 23 - 13)*(-3*q**4 - 9*q**5 + 3*q**4).\nAnswer: 897*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-11 - -20) + 4) - 8 - 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k - 14*k + 5*k + (2 - 1 - 3)*(-3*k + 5*k - 3*k) + (4*k - 6*k + k)*(-3 - 2 + 2).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4257 a factor of 27934434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiii when four letters picked without replacement from iiifffiffifffifififf.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 17*p + 115. Calculate b(15).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 17851*d - 4909018. Determine g(275).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420952411 plus 46911?\nAnswer: 420999322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/7, -413, 51, 30?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*r**3 + 17*r**3 - 425*r**5 - 261*r**2 + 421*r**5 wrt r?\nAnswer: -240*r**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -0.0395, -392 in decreasing order.\nAnswer: -0.0395, -30, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 1 - 1)*(-148*s**4 - 427*s + 427*s).\nAnswer: -592*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 49. Let a be w(-17). Let n = -21 + a. Let m be (-3 + 1 + 0)*5\/n. What is the closest to -1\/4 in -0.4, m, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d + 300. Suppose -2*o = 2*g - 392, -4*g + o - d + 879 = 0. Round g to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:38 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 990954 * -0.2\nAnswer: -198190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 2*f**4 + 16*f**2 + 203*f - 3*f**2 - 202*f + 3*f**2 to the form d*f**4 + p*f**2 + i*f**3 + r*f + l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:01 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -23*f - 5. Let m(z) = -22*z - 4. Let j(d) = 4*m(d) - 3*w(d). Find the first derivative of j(s) wrt s.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.58949 - -1.62949. Let k = 2.1 - 2. Let q be -1*(-2)\/(-18)*-2. What is the closest to k in a, -3, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1999999 - 1.2. Round w to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d + 21*d - 724282*d**2 - 3625356*d**2.\nAnswer: -4349638*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -957*l**2*p + 739*l**2 wrt p.\nAnswer: -957*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 249*k**2 + 23*k. Let m(j) = 126*j**2 + 9*j. Let g(t) = 5*m(t) - 2*o(t). Let s(v) = -3*v. Determine g(s(q)).\nAnswer: 1188*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27029 by -179.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z + 101. Suppose i + 5*o + 25 = -3*i, 4*o = -20. List the prime factors of f(i).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-9)*o*o*(o*o\/(o\/(o**12\/o))*o)\/o*o)**(29\/5) assuming o is positive.\nAnswer: o**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-60))\/((-66)\/(-8))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**5\/180 + t**4\/24 - 3*t**2\/2 - 8*t + 23. Let j(i) be the second derivative of v(i). Factor j(u).\nAnswer: u*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 155 + 14*r - 155 - 3*r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 175221570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 + 39*r**3 + 333*r**2 + 22630*r.\nAnswer: 20*r**3 + 234*r + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*w**2 + 3 + 2 - 6 + 15*w + 18*w**2 wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Let g = 12 - f. Let j be 6*1\/2*1. Solve -g = 3*t + j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 32. Let j(w) = -w + 30. Let t(u) = -5*j(u) + 4*x(u). Let k be t(27). Solve 5 = k*b - 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 2*s)*(3*s**2 + 2*s**2 + s**4 + s**4).\nAnswer: 4*s**5 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/30*(-51)\/68. What is the closest to -1 in 0.2, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 30924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*c + 4*j, -2*c - 368*j + 11 = -367*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 44. Let c be (j\/5)\/((-7)\/(-35)). Let l = c - -29. Let m(r) = -r**3 - 5*r**2 - 5*r - 3. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355a584 (base 11) to base 9\nAnswer: -12610543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9))**(-21)*(k\/k**(-2\/3))**(-2\/113) assuming k is positive.\nAnswer: k**(-1592\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9414 and 774.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 64296 = -3*l, 2*l = 5*g - 40690 - 120088. What are the prime factors of g?\nAnswer: 2, 3, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24814 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1616208?\nAnswer: -1616208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 4. Let g be k(-5). Suppose -5*x = -x + g. Suppose 0 = d + 3*z + 14, 0*d + 4*z = -3*d - 27. Put d, x, -1 in ascending order.\nAnswer: d, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 3*j**2 + j + 3. Let n = 167 - 170. Let z be o(n). Solve z = -4*x + 3*l - 28, -4*l + 60 = -5*x + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 + 170. Let k = n + 95.00844. What is k rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79.4 + -79.5. What is the second biggest value in 2\/15, -9, f, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - c + 1 + (-4 + 1 + 1)*(0*c + 4*c - 3*c) + 80 - 82 + 39*c - 3*c - 6*c + 3*c + 4*c + c + 2*c - 2*c in the form v + g*c and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 5447067*o - 59918100.\nAnswer: 3*(o - 11)*(o + 1815700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + v - v + v**3 - 2*v + 2*v + (3*v**2 - 2*v**2 - 2*v**2)*(v + 5*v - 4*v) + 71*v**3 - 153*v**3 + 103*v**3 as j + d*v + u*v**2 + h*v**3 and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7726559.\nAnswer: 19, 406661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10231535 (base 10) to base 9.\nAnswer: 21224022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 - -0.03. Which is bigger: -9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-11)*c*(c*c**(-11)*c*c*c)\/c*c**(-1\/3)\/c assuming c is positive.\nAnswer: c**(-191\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618650 and 800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-6)\/(-3)) + -1. Let l be z\/20 - (-212)\/10. Suppose -20 = -y - 4*g, -4*g + l + 11 = 4*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 4*z - 8. Let j(w) = -5*w**2 - 4*w + 8. Let g(b) = -3*j(b) - 4*m(b). Let l = 16 - 8. Suppose -42 = -f + l*f. What is g(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, 3, -1\/2, 3\/40.\nAnswer: -1, -1\/2, 3\/40, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**3\/6 - 5*o**2\/2 + 79*o + 11. Suppose 2*b = 23 + 1. Suppose -r + 3*r = b. What is w(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 41*u + 118. Let f be k(5). Let r(x) = 3*x**2 - 10*x - 13. Let p(v) = 10*v**2 - 29*v - 39. Let m(j) = 2*p(j) - 7*r(j). Give m(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 14 + 15*q**2 - 2*q + 20*q**2 - 36*q**2 to the form i + d*q**2 + v*q**3 + s*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 226647 to the power of 1\/2, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let m(t) = -21*t + 1. Let p be m(-4). Suppose -2*j + 159 = 5*q + 2*j, 0 = -c*q - 5*j + p. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.2397 times 101.3\nAnswer: 1341.18161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12. Suppose -8*w + 3*w + 4*j = 0, x = -4*w + 4*j - 4. Let u(v) = -v**2 + 16*v - 27. Let d be u(14). What is the closest to d in w, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104743465 take away 0.89?\nAnswer: -0.785256535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1397*l + 26615. What is m(19)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 6*u + 3. Let b(t) = 2*t**3 + t + 7. Let l be b(-4). Let c be (1 + -6)*(-150)\/l. What is v(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)*m)\/m**(-18) assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 18*u - 192. Let v(g) = 3*g + 1. Let c(a) = d(a) - 2*v(a). Is c(27) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 23. Calculate the lowest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63213961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 0*s**3 + 0*s**3)*(814 - 2*s + 539 + 472).\nAnswer: 2*s**4 - 1825*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495) - -2*(sqrt(495) + sqrt(495)*2))\/sqrt(11) + -3.\nAnswer: -3 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24569 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -5, 1, 17 in ascending order.\nAnswer: -7, -5, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74520259, -149040502, -223560745, -298080988, -372601231?\nAnswer: -447121474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.807 equal to -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.022 (b) 5971\/3 (c) 0 (d) -2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -4 - (-9 - -26) - (-8 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*n = 102*n - 1845. List the prime factors of n.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010143324 (base 5) to base 2.\nAnswer: -101101000001100101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 12:23 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/((-24)\/6) + 5. Let c be 2\/(-8) - (-26)\/8. Solve c = -2*n + o*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 - 6448739.\nAnswer: -6448739.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = f. Let u(q) = -q**2 - 25*q - 22. Let k(j) = j**2 + 13*j + 6. Let i be k(-10). What is the smallest common multiple of u(i) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11021?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 65 = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51256*n - 51296*n + 686 = -114 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(170)*-2*-2)\/(((sqrt(50)*2)\/sqrt(5) - sqrt(10)) + (2*sqrt(1440) - sqrt(1440)))*3)**2.\nAnswer: 9792\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 4*l**2 - 7*l - 5. Let d = 10 - 7. Suppose d*m = -0*m + 21. Let x(i) = -i**3 + 2*i**2 + 3*i + 2. What is m*x(b) + 3*q(b)?\nAnswer: -b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -z + 14, 3*t = 2*z - 26 + 7. Let n = 5 - z. Which is bigger: -1\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623316326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 7\/6 (c) -0.4 (d) 14.17 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3729 or 3730?\nAnswer: 3729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2198, 2676, 3514, 4718, 6294, 8248?\nAnswer: 10586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j - j**5 + j**5 - 147314*j**2 - 157 + 420*j**6 - 80*j**6 + 147315*j**2 wrt j.\nAnswer: 40800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -166, 0, -12, -6, -2 in decreasing order.\nAnswer: 0, -2, -3, -6, -12, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -23, -28, -33, -38, -43?\n\"Answer: -5*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35662 and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-341)\/(-1705)*10\/(-132)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31\/9 less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 472590 to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 100, 853, 2924, 6973, 13660, 23645, 37588?\n\"Answer: 110*b**3 - b**2 - 14*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40918863 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 91*c**2 - 133*c - 47. Let z be p(-44). What is the second smallest value in -0.2, 0.5, -1, 4, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 1.2. Let r = z + -1. Let p = 4256.5 - 4256. Which is the nearest to -0.2? (a) r (b) -2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3183?\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*a - 7*a = 1058 - 1097, -5*s = 4*a - 45 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -13*b**10\/5040 + b**6\/45 - 5*b**3 - 7. Let x(p) be the third derivative of d(p). Find the third derivative of x(i) wrt i.\nAnswer: -1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 + -2.7. Let l = 0.11 - 0.81. Let r = -1.2 - l. Which is the second biggest value? (a) 3 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 4*m**2 - 8*m - 9. Let c be s(-4). Let o = c + -13. Let j(d) = d + 4. What is the units digit of j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4310317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 18*s - 3*s - 4*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -43. Does 9 divide c*(-5 + 4)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-12 + (-32)\/(-24))*(2 + -5) and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (3*sqrt(300)*2 + sqrt(300) - sqrt(300)))*-5 + -4)**2 + (5*(sqrt(300) + 1*sqrt(300)*3 + -3 + sqrt(300) + 2*sqrt(300)) + 0)**2.\nAnswer: -17100*sqrt(3) + 637846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0, -1\/10, 25, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 - -1.2. Let i = -0.43 - 0.07. What is the biggest value in i, -1, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*s - k - 4, 2*s + 4*k = 12. Let x be s\/12 + (-219)\/(-18). Calculate the highest common divisor of x and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 - 8)*(-3*g + 4*g + g + (3 - 1 - 5)*(g - g + 2*g)) + (-1 + 1 + 2*g)*(4 - 4 - 1) - 4 + 4 + g to b + x*g and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 165210031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8.67, 0.5, -56, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - s - 14 = 0, 4*s + 1 = 3*x - 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.27702 (b) -4 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/89 in -1, -2\/13, 84\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/137 - 117\/548. What is the nearest to k in -0.2, -1\/7, -5, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aug when three letters picked without replacement from iigugaiiiiaua?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b + 3*b + 0*b in the form a*b + d and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + -6 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -3664, -12528, -29898, -58636, -101604, -161664?\nAnswer: -241678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 35 = 5*p, -c = 3*p - 0*p - 17. Suppose 2*t + 34 = p*t. Solve 0 = -2*a + 5*u + t, -2*a - 4*u - 19 - 9 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5660 is divided by -1 + 156\/(-8)*94\/(-141)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/23))**(-8\/3) assuming o is positive.\nAnswer: o**(16\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.038954 and 9385.\nAnswer: -365.58329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f + 161*f - 3295 = -436*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 34*n - 15. Suppose -7*a + 407 = 484. Let g be m(a). Put -10, g, 1, 5 in ascending order.\nAnswer: -10, g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35641736 a multiple of 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -123c24 - -11a?\nAnswer: -123b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7 = 28. Let x = d + 22. Let y be (4 - 4)*x\/(-1). Solve 3*k + z = -13, 0 = 2*k - y*k - z + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 65?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/12 + v**3\/3 + 2*v**2 + v. Let u = 13 - 18. Is d(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(40)\/sqrt(4)) - sqrt(30))\/(sqrt(10) - (sqrt(640)*-1 + sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g - 3*m = 24, -3*m = 2*g - 12. Let t be (-8)\/g*(-3)\/22. What is the nearest to 0.1 in -0.1, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -316*q. Let c(f) be the second derivative of f**6\/360 - 67*f**3\/6 + 107*f. Let x(i) be the second derivative of c(i). Determine v(x(z)).\nAnswer: -316*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 22*g**2 - 253*g - 142. Give m(-30).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144 plus -19?\nAnswer: -18.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 42 (b) 0.3 (c) -0.09 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 5*n + 1 + 4, -2*s + 8 = 2*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/a*a)\/(a*a\/a**(-5)))\/(a**(-4))**7 assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 9*s**2 + 26. Let b be (-2 - -5) + (-13)\/((-26)\/12). Let k be j(b). Calculate the highest common divisor of k and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 30 in descending order.\nAnswer: 30, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (-26 - ((-29 - -24) + -8)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 5*x**6\/2 - 4*x**3\/3 - 16. Find the third derivative of z(k) wrt k.\nAnswer: 900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 7*j**2 + 67*j - 251. Determine i(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595134700 rounded to the nearest one million?\nAnswer: 595000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = -g, -46 = -3*g - 0*g - 4*b. Which is smaller: 12 or g?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(22)*-1 + sqrt(66)\/sqrt(3)*3)\/((sqrt(490) - 3*sqrt(490))\/sqrt(5)) + -4)**2.\nAnswer: 16*sqrt(11)\/7 + 828\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -14*q + 288. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 55*p - 16. Let a(u) = 54*u - 19. Calculate 6*a(x) - 7*j(x).\nAnswer: -61*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14123278 and 810.\nAnswer: 14124088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.09 - 30. Let g = -0.14 + a. Let o be (-2)\/(-5) + (-42)\/(-45). What is the second smallest value in o, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -0.03, 0.6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -7, 0.07, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425066805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m = m - 3195075. What is the ten thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 = -16. Let c = -2 - a. Suppose -c*m = m + 4*n + 18, n = 2*m + 1. Sort m, -1, 4 in decreasing order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 21957 + 21957 - 16*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1791247 and -0.2.\nAnswer: -0.0208753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-56 + -90 + 44).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -615, -4806, -16087, -37974, -73983, -127630, -202431, -301902?\n\"Answer: -586*w**3 - 29*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 345 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*q = -483*q - 11182 + 30455 + 8634 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/5 (b) -2 (c) 202034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7470*t - 993577. Give b(-133).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n. Let u(v) = 2*v - 1. Let y(w) = -k(w) + 3*u(w). Let j be y(7). Calculate the highest common factor of j and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1357*h + 131*h**2 - 1357*h + (0 + 0 - 2*h**2)*(5 - 2 - 1) + (0 + 3 - 1)*(h**2 - 2*h + 2*h).\nAnswer: 129*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*g = -263*g - 9 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 24 = 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*c = -585 + 1521 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 3*q**2 + 18 - 10 - 2*q**2. Suppose -z = 3*n - 2*z + 13, -2*z = -5*n - 22. Does 4 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 16. Let y be p(7). Suppose -4*o = 5*k - 77 - 8, -y*o - 2*k + 40 = 0. Calculate the highest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, f: 2, w: 4, l: 4}. Give prob of picking 3 l and 1 f.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -311, -305, -295, -281?\n\"Answer: 2*c**2 - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37880 at least as big as 189396\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 - 5177308*o + 10354608 = 0. What is o?\nAnswer: 2, 2588652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/5, 1, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bccb5 (base 14) to base 13.\nAnswer: -28b370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16041555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 9*z**2 + 8*z + 12. Let j be (-1)\/((-5)\/(-15)) - 5. Calculate v(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 4*m**2 + 3. Let v = -69 + 73. Let h be x(v). Factor 0*s**4 - s**4 - s**h + 7*s - 7*s.\nAnswer: -s**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnengegggggnngene. What is prob of picking 2 e and 1 g?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3051128*y + 10497. Let m(r) = 3487*r + 12. Let a(c) = 3499*m(c) - 4*s(c). Let f(w) = -w**2. Determine a(f(u)).\nAnswer: 3499*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -3\/16, 2.\nAnswer: -3\/16, -2\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let i(w) be the third derivative of 0*w + 4*w**2 + 0*w**3 - 1\/30*w**5 + 0*w**4 + 0. Determine l(i(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b**2 - 8*b + 5. Let x be (-4)\/10 - 37\/(-5). Let z be (13 + 1)*(-4)\/8 - -5. Let u = x + z. Let c(s) = 7*s**2 - 5*s + 3. Give u*a(w) - 8*c(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-1)\/q))*q*q**14)\/(q**(1\/16)\/q*(q\/q**(-12))\/q*q) assuming q is positive.\nAnswer: q**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*o - 10, -8 = 2*o - 6*o - 5*u. Suppose o*i + 18 = 8*i. Suppose -k + 4*p = i*k - 248, -4*p + 337 = 5*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16*y**2 + 6*y - 19. Let k(n) = 11*n**2 + 4*n - 13. Let l(u) = -7*k(u) + 5*w(u). Let m(f) = -2*f**2 - 2*f + 3. Calculate -5*l(p) - 6*m(p).\nAnswer: -3*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 131, 4\/119, 0, -4 in ascending order.\nAnswer: -4, -0.2, 0, 4\/119, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a decade in months?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 22*m**2 + 3*m - 9. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61, 118, 159, 178, 169, 126?\n\"Answer: -n**3 - 2*n**2 + 70*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.888505283 to one dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2 - 169*t - 615. Calculate k(-81).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*(3\/(-33) + (-70)\/(-165)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-2))\/(1\/(-2)). Let d = -2386\/9 + 14632\/63. Let x = d + 33. Put k, -0.2, x in decreasing order.\nAnswer: x, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((258 - 41 - 20)*(-6*m + 2*m + 3 + 6*m) + (-3 + 0 + 4)*(4*m + 0*m - 6*m))*(-2*m**3 + 3*m**2 - 3*m**2).\nAnswer: -784*m**4 - 1182*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -369 - -373. What is the least common multiple of 46 and n?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 + -7. Let l = 1438946\/141 - 30616\/3. Let r be 8\/(-110)*(-45)\/18. Which is the second biggest value? (a) r (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486563?\nAnswer: 3, 13, 47, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10765 divided by -4?\nAnswer: 10765\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441100, 441095, 441078, 441043, 440984?\nAnswer: 440895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**18\/r)\/(r\/r**(1\/2)*r))\/(r**(1\/4)\/r)**36)**(18\/11) assuming r is positive.\nAnswer: r**(765\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6864859*w**4 - 22451496*w**2.\nAnswer: 164756616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrolouure. What is prob of picking 1 m and 1 u?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 7)\/(3\/(-6)). Suppose 24 = 2*k + 3*f, 3*f + 0*f + g = k. Suppose -3*c - c + 2*o = 0, k = 3*o. Which is greater: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/8 + 5*k**5\/12 - 5*k**4\/12 - 11*k**2 - 3*k. Suppose v(f) = 0. What is f?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56647071 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(1254\/110))\/(3\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74562963?\nAnswer: 3, 24854321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*c + 86*c**2 - 79*c to v*c + b*c**2 + n and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6147468, -6147486, -6147538, -6147642, -6147816, -6148078?\n\"Answer: -3*i**3 + i**2 - 6147466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 63501?\nAnswer: 63496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 72 = -4*a. Suppose -3*n + 18 = -4*b + 59, 0 = -5*n - b - 30. Let w = n - a. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k + 2. Determine c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**2 - 17*i**2 + 36*i**3 - 14*i**2 - 13*i**2 - 38*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34526 - 2870*z**2 - 17262 + 385*z**3 - 17264 wrt z.\nAnswer: 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -7. Let b be 8\/(-8)*(r + -2). Let u(s) = s**3 - 2*s**2 + 2*s + 2. Let m be u(b). Solve -m = 3*t + j, -j - 2*j = -t + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -15. Let p be q\/15*(5 - 0) - 0. Solve j = 2*t - 4, -p*t - 7 = -0*j + 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78026 (base 12) to base 16\nAnswer: 26d1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -4.23309919?\nAnswer: 2.116549595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r**2 + 17*r**2 + 13*r**2)*(-4 + 4 - 2*r)*(2*r**2 + 0*r**2 - 3*r**2).\nAnswer: 32*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (124\/(-33))\/(((-5880)\/(-36))\/35) and 13\/84.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*q = -305*q. Suppose q = 5*o - 1150 + 70. Suppose 4*c**4 - 212 - 8*c**5 + 5*c**2 - 8*c + o + 16*c**3 - 13*c**2 = 0. Calculate c.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*l + 3 + 1 = 0, -3*x - 4*l = -20. Let y(g) = -2*g + 3*g**2 - x*g**2 + 6*g + 7*g. List the prime factors of y(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 16*r**2 - 7*r**2 + 34.\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5034097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*(-2 + c + 2) - 91*c - 2208 - 2198 + 4421 in the form f + z*c and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = a - 36, 0 = -5*z + 15. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24547.97692 rounded to 0 decimal places?\nAnswer: -24548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1575*h + 2. Let c be r(-5). Let l = -62925\/8 + c. What is the common denominator of 59\/10 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 7*s**6\/30 - 29*s**5\/20 + 15*s**2\/2 - 90. Let m(v) be the second derivative of x(v). Find the third derivative of m(i) wrt i.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**10\/50400 - d**6\/720 - d**5\/20 - d**2. Let i(f) be the third derivative of o(f). Differentiate i(w) with respect to w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Determine m so that -6 + 19*m**4 + 14*m**4 + 27*m - 7*m**4 - 5*m**4 - 27*m**3 - 15*m**u = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156ca9 (base 14) to base 15.\nAnswer: ebd49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39860039 - 39863529.40048. Let n = 3485.5 + q. Let h = n - -4.9. What is h rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-6)\/(-9))\/(8\/(-3)))\/((-1274)\/(-112) - 14). Solve -16\/21*w + f*w**2 - 40\/21 = 0 for w.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**4 + 5180*i**3 + 1735950*i**2 + 168873500*i - 6487136875 = 0.\nAnswer: -355, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24.163*-78110\nAnswer: -1887371.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/21402 and 19\/356172.\nAnswer: 1270465524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2556 = -w + 4*w. Let o = 3118 + -2083. Suppose 4*g + 2*v + w = 8*g, -5*g + o = 5*v. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**3 - 45*k**2 - 34*k + 60. Determine w(-4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7604 - 1.\nAnswer: 7603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -530, -2241, -6298, -13871, -26130?\n\"Answer: -195*t**3 - 3*t**2 - 337*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7826 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - 0.8. Let s(g) = -g + 15. Let k be s(14). Let o be (-4 + 1)\/(k\/((-1)\/(-5))). Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 2)*(-3*t + t + 0*t).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 6. Let o be a(5). Is 23 a factor of (o - 116\/(-20))*25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254074951.\nAnswer: 13, 23, 53, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776\/5624 - (-3500)\/(-10241).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aima when four letters picked without replacement from oaoiojjamimmaaaa.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-18)\/(-39)*(-10)\/30?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from jdadx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -247, -799, -1665, -2839, -4315?\n\"Answer: k**3 - 163*k**2 - 70*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220012 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 s when three letters picked without replacement from {i: 9, d: 1, x: 2, p: 1, s: 6}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 16*h - 64. Let l be i(20). Let n be 0\/(l\/(-9) + 12\/(-54)). Suppose n = -3*j - 12, -828 = -4*c + 4*j - 72. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, 2, 2\/3, -2\/23, -2\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -74, 1\/6.\nAnswer: -74, -4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-36)\/21 - (-130)\/(-182). Which is the closest to 1? (a) 0.2 (b) l (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = -c, -3*l = 3*c - 0*c + 6. Suppose 5*q + 18 = l*q. Is (-6)\/q - (-472)\/12 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402359625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-680)\/(-24) - 2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82.85 + 83.15. Let m = -1 + 1.2. Which is the smallest value? (a) m (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3698*s**2. Let f(y) = 4254*y - 1416*y - 1418*y - 1418*y. What is j(f(d))?\nAnswer: -14792*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in 0, 3, -124?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -7, 3 in ascending order.\nAnswer: -8, -7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 16, 14, 10, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 191\/(-39))\/((-21)\/63). Sort 4, 2\/5, b, -0.08.\nAnswer: b, -0.08, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1683*v + 112775. Give q(-67).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 122297.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**5\/60 - 2*d**2 + 2. Let n(w) be the second derivative of o(w). Let b(s) = -s. Determine n(b(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**4)\/m))**5)**48 assuming m is positive.\nAnswer: m**(-720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176 - 6*k**2 - 174 + k + 2*k**3 + 350 to the form g*k**3 + o*k**2 + y + u*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -10048702 and -0.04 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3187 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -799, 0.22, -5 in decreasing order.\nAnswer: 0.22, -2, -5, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 10:30 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 4:10 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-2*n + 0*n - 3*n + (3*n + 0*n - 4*n)*(-4 + 0 + 2)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 46.3853.\nAnswer: 0.463853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8550510 and 122090?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 5*v**4\/12 - 5*v**3\/6 - 77*v**2\/2 - 2*v. Let w(m) = m**2 - m. Let b(x) = -f(x) + 4*w(x). Is b(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 3*r + 7, 0 = -3*b - 3*r + 12. Let f be 2 + (-1)\/b - -3*1. Let v be f - 35\/5 - -6500003. What is v rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98) + sqrt(98) + (sqrt(98) - (1 + sqrt(98) + sqrt(98))*4)) + ((sqrt(162)*1)\/sqrt(9))\/(sqrt(45)\/sqrt(45) + sqrt(9) + sqrt(9)).\nAnswer: -977*sqrt(2)\/7 - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.333 and 0.5.\nAnswer: -5.6665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1. Let r = -2 + 5. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 10) to base 13.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(168)\/sqrt(6) - (sqrt(7) + sqrt(175) + -2*sqrt(175)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2353*z + 193 + 187 - 380 to v*z + l and give v.\nAnswer: -2353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -294655\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7\/2 - 9\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2353 - 7043 + 2350 + 2345 - 7*l + 9*l**2 in the form a*l**2 + z + h*l and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 534.\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -100022122021 (base 3) in base 12?\nAnswer: -8a1b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1374233, 1374295, 1374357, 1374419?\n\"Answer: 62*o + 1374171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/x**(-4\/5))\/x))\/(x**3*x))**21 assuming x is positive.\nAnswer: x**(-399\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/5, -2, -53\/4, 13\/4.\nAnswer: -53\/4, -2, -1, 4\/5, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000543 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050895521 rounded to five decimal places?\nAnswer: 0.00509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 501170 and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 369, 435, 501, 567, 633, 699?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(4 - 2) + 10. Suppose 0*o + 24 = 4*o. What is the remainder when (-2*3)\/(a\/(-12)) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6396 divided by 35?\nAnswer: 6396\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 34 = -36 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -308.\nAnswer: 3\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 - 2*f**2 + 5*f. Let m be w(-4). Suppose -320*u = -331*u + 132. Calculate the highest common divisor of u and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, -75, 1 in increasing order.\nAnswer: -75, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46401.\nAnswer: 3, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)\/(v*v**(1\/5))*((v\/(v\/v**0*v)*v)\/v)**(26\/3) assuming v is positive.\nAnswer: v**(-238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/23 - 131\/92. Let w = -17 - -17. Which is the smallest value? (a) -0.5 (b) w (c) -4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 373563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q + 2. Let v(f) = -2*f**2 + 422*f + 3. What is v(b(u))?\nAnswer: -162*u**2 - 3726*u + 839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138845 (base 9) to base 8.\nAnswer: 246405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.09998942 + -57.1. What is b rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15529699 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106190*m**4 - 9476*m**2?\nAnswer: -2548560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4 and 6\/24 + 38\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -4\/118515193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009043 rounded to 5 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*t - 7*h - 81 = -206*t + 8*h, -5*t = 4*h + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 5, 0, -4, -1, 2, 97 in ascending order.\nAnswer: -4, -1, 0, 2, 5, 36, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**4 - 130*v**2. Let y(j) = -6*j**2. Calculate y(r(x)).\nAnswer: -3456*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219937, 220591, 221245, 221899, 222553, 223207?\nAnswer: 223861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = -65*k - 992740000. What is k rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 19*w**2 - 14*w + 60. Let j be o(10). Solve j*n - 2*t = 16*n, 4*t = n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.07 - 8. Let p = f + -5.07. Let r = -0.1 + 0.2. What is the closest to -1 in 1, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81788 (base 10) to base 8\nAnswer: 237574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**4\/3 - 4*o**3\/3 - 7*o. Determine p, given that s(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -271*k - 1\/20*k**5 - 85\/2*k**2 + 64\/3*k**4 + 0*k**3 + 0. Differentiate w(l) with respect to l.\nAnswer: -3*l**2 + 512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23613 - 22185 = -51*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**3 - 2*i + 1. Let p(w) = 8*w - 3. Let h be p(2). Suppose -5*x + h + 77 = 0. Calculate the remainder when o(-2) is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15367\/4 - 506791\/132. Let i = -184\/9 - -842\/45. What is the common denominator of i and m?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 2, -7, -22, -43, -70?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 42*u - 315 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 not equal to -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 15*w**2 - 39*w - 22. Calculate r(-11).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {y: 16, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*x + 4305 = -2955, -3*x = -5*u + 9088. Let a = u + -1289. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**3\/2 + 36*v**2 - 513*v\/2 + 486 = 0. What is v?\nAnswer: 3, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -441 by 45016.\nAnswer: -441\/45016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286073 + 286073 + 47888*w**2.\nAnswer: 47888*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 17, k: 2}. What is prob of sequence oo?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l + 307 = -165 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 897 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-20)\/z)**(2\/29)\/((z\/(z*z*z**(8\/3)*z))\/z)**12)**20 assuming z is positive.\nAnswer: z**(38600\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 7*j**2 - 2*j - 3. Let r be o(3). Suppose -3*m - 2*m + 20 = r. Let q be 5 + (m + 20)\/(-4). Which is smaller: q or 1\/29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 + (0 - 0). Let d(h) = h**3 + 1. Let z be d(-1). Let w be 1 + l + z\/(-3). Solve -w*p + 5*m - 12 = m, 2*p - m + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022582 is divided by 384?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t + 2*g, 3*t - 1 = -4*g + 5. Let v = t + -2. Suppose -3*l + 14 = m, m - 104 = -2*l - 94. Solve -z - 3 = -2*z - 3*a, v = -z - 4*a + l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a. Let c be x(4). Solve -4*n + c = 5*y, 4*y = 4*n + 2*y + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134814 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 68 in increasing order.\nAnswer: 1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -276.79 take away 2867177700?\nAnswer: -2867177976.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + -488. Let x = -572 - o. Solve -q + m - 5*m = -6, x*q - 3*m - 1 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -20*y**2 + 57. Let p(d) = -9*d**2 + 29. Determine -14*p(b) + 6*r(b).\nAnswer: 6*b**2 - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, -1, 4\/5 in descending order.\nAnswer: 4\/5, -0.28, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 5*o + 1. Let r(c) = -2*c**2 - 4*c - 1. Let m(q) = 3*n(q) + 4*r(q). Let v(s) = 6*s**2 - 5*s - 5. Determine 5*m(j) - v(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 1958 = -3442. Suppose 0 = -49*u + 53*u - q. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20022210 (base 3) in base 8?\nAnswer: 11003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, b: 9, e: 4}. Give prob of picking 1 b, 2 e, and 1 f.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.21478 + 0.06478. Which is the fifth biggest value? (a) -2 (b) 2\/7 (c) -0.5 (d) x (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -110.4. What is r rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 11. Let i be 2 - ((2 - 7) + -1). Suppose 2*a = -l - 0*a + 8, l = o*a + i. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 441*m - 1 + 6*m**2 - 19 - 430*m. What are the prime factors of n(7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 7*g - 24. Let p(k) = k**2 + 7*k + 11. Is p(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 15*p = -75. Suppose -16*r + 15*r = -p. Solve -5*b = -v + r, -5*v = -3*b - 24 - 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 12*f + 1. Let a(m) = -1756*m**2 + 48*m - 4. What is a(j) + 4*x(j)?\nAnswer: -1752*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3510 - -3510. Solve -4*v - 2*t = 4, 2*v - 2*t = -u*t + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 + 407*s**2\/4 + 44454*s + 44352 = 0. What is s?\nAnswer: -264, -1, 672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 0.0159529.\nAnswer: 4.0159529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + t - 1. Let k be r(1). Let i = -232 + 65. Let n = i - -168. Put k, 0, n in descending order.\nAnswer: n, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/10)\/(2\/40). Let v be y\/3*(-36)\/(-8). Let x = v + 24. Solve x = f - 2*r + 5, -2*r = -f - 2*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 17 = 4*s + 5*n, -3*s + 4*n = 7. Solve 0 = s*g - 0 + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 60766 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5785041 - 3312350. Let u(g) = -248618*g**3 + g**2 + g - 1. Let j be u(-3). Suppose j = -4*o + y. What is o rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16307 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302441 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*1 + 1 + ((sqrt(54)\/sqrt(3))\/sqrt(6) + sqrt(3))**2.\nAnswer: sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 6. Let b be w(4). Let y be 0 - b - (-4)\/1. Suppose -y*h = h - 12. Solve h*s - 5*s + 4*n - 21 = 0, 2*n - 28 = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from czceccczccccreeeezr?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1674 by 4.\nAnswer: 837\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*1*(-3)\/3. Suppose -4*b + 41 = -g*j, 4*b = -4*j + 47 + 29. Let o be 5*(b\/(-10) - -1). Let p(a) = -a**2 - 1. What is p(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e4 + -2dda53?\nAnswer: -2ddb37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (13 - -3) + -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 1 - 1 + 21*k.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 357 in 1\/26, 1.7, -4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -639993702*b**4 + 8*b + 14061601?\nAnswer: -7679924424*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0 (c) -5 (d) -863 (e) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*6\/(-45)*5\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**4 - 2*u**4 - u**4 - 4*u**2 + 2*u**4 - 4 + 4 + (-u + 2 - 2)*(-3*u**3 + u**3 + 3*u**3) - 2*u**4 + 2*u**4 - u**4.\nAnswer: 6*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064150779 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {t: 2, g: 2, z: 1, v: 3, s: 1, r: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 785 - 109. Suppose -232 + w = 4*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -186*a - 164*a + 33*a in the form s + l*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1165.999998798 - 1166. What is b rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-93)\/(-33) - 3*(-2 - -3). What is the second smallest value in 1\/6, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 5 + 5)*(-4*y + 0*y + 0*y) + (-y + y + 2*y)*(0*y - 2*y + y) + 2*y**2 - 2*y**2 + y**2.\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 2\/3, 3\/10, 34, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:02 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67.9 or -2\/5?\nAnswer: 67.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83613139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29994*a - 10*a**2 - 29994*a + 10 + 2*a + 2*a**2 - 2*a + (a - 2 + 2)*(0*a + 3*a - 2*a) - 3*a**2 + 2*a**2 + 3*a**2 - 6*a**2 + 4*a**2 + 0*a**2.\nAnswer: -7*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23274059 + -40374059. Round t to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e3 (base 16) to base 5.\nAnswer: 10424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -731, -1459, -2181, -2891, -3583, -4251, -4889?\n\"Answer: l**3 - 3*l**2 - 726*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.055 + -4. Let k = -0.045 - s. What is the nearest to k in 2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tltttltnitpjtttntpl. What is prob of sequence pjnp?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2378305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 + o**4\/12 + o**3\/6 + 4*o**2. Let f = 6 + -6. Suppose f = -z - 4*z - 20. What is k(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2394 and 476064?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 11 = 4*a - 1, -2*z - 3 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 15, 37, 59, 81?\n\"Answer: 22*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89542\/115 + -21396469\/26680. Let w = f + 492\/29. Calculate the common denominator of w and -121\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f**2 - 13*f + 20. Suppose 3*x = -25 - 8. Is l(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((27\/(-21))\/3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-2))\/((-9)\/234) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*m - 32 = 0, 0 = 4*d - 700*m + 698*m - 18. Which is smaller: d or -31\/336?\nAnswer: -31\/336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -203*k**4\/24 - 20*k**3 + 56*k**2 - 3. List the prime factors of c(-6).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 2:14 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrriirrrrf. What is prob of picking 1 i and 1 r?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900) + -1 + -3 + -4 + sqrt(1900) + sqrt(1900)*2)**2 + -2.\nAnswer: -800*sqrt(19) + 47562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 4, n: 5, x: 8}. Give prob of picking 2 w.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30370000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000084523 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.5 (b) 1 (c) -15 (d) 0.91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -20 (c) -3\/4 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 4882.\nAnswer: 9\/4882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h - 1508 = 4*q, -5*q = -5*h + 1505. Suppose 2*y + 0*y = -h. Let g be (-8)\/20 - y\/5. Calculate the greatest common factor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g - 7. Let v = -290 - -291. Let w(q) = q - 1. Determine v*i(y) - 5*w(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + 0.2. Let r = -10704 - -10707. Sort r, -6, k in descending order.\nAnswer: r, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 0)\/(-4 + (0 - -5)). Suppose v = a*v - 0*v. Let d(b) = -b**3 + 19*b**2 - 17*b - 21. Let g be d(18). Sort -2, v, g in descending order.\nAnswer: v, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 29, -8, -0.5, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/313 + -616\/1565. What is the third biggest value in -1\/4, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/7, 0.1, -0.2, 0.4, -4.6 in ascending order.\nAnswer: -4.6, -4, -2\/7, -0.2, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -5, -2\/9, 2\/11, -11\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-186)\/(-341) + 724815\/55 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a54 + -a62?\nAnswer: -76b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10625 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 130. Suppose -f - 3*m = 1, 0 = -c*f - 4*m - 6 + 3. Which is smaller: 3\/74 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2138+0.014192782\nAnswer: -2137.985807218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000218192 rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/504614?\nAnswer: -1\/504614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6f (base 16) to base 4\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3 - 0)\/(2\/(-24)). Let j be ((-2)\/4)\/(1\/n). Let c be j\/(-3) - (-1)\/((-15)\/10). Sort c, -9, -1 in increasing order.\nAnswer: -9, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -115 (b) 1\/2 (c) 4 (d) 0 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1365896 + 52?\nAnswer: -1365844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 - 3)) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -23, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -338912076*f**2*y**2 + 3*f**2*y + 2*f**2 - 17*f*y - 2797*f + 2*y + 1 wrt y.\nAnswer: -677824152*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*v**2 - 57*v + 18 = 0.\nAnswer: -1, 6\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309116664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.2, 202, -0.4, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 4, y: 2, g: 4, r: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -2*l + 0 - 5\/48*l**3 - 1\/24*l**4 - 1\/16*l**2. Solve r(f) = 0 for f.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44161 - -44161. Let i(x) be the first derivative of 3\/2*x**2 + q*x + 19. Let w(l) = -l**2. Determine w(i(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 67.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0*u + 3*u - 4*u)*(u**2 + 2*u**2 - 2*u**2).\nAnswer: -u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 11*n + 12. What is a(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**3*x - 404*u**3 - 862*u**2*x + u**2 + 3388*u*x + 145*u - 3*x wrt u.\nAnswer: 6*u*x - 2424*u - 1724*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2.2, -0.1, 42\/31?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 117288714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -216 + 224 + -16 + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10578*r**2 + 4589. Let v(d) = -d**2 + 7. Let a(o) = -k(o) - 8*v(o). Differentiate a(w) with respect to w.\nAnswer: 21172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -993*j*z**2 + 121*j*z - 47*j - 17*z**2 - 1 wrt z.\nAnswer: -1986*j - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**5 - 4*z**4 + 2491*z**3 + 6*z**2 + 9670*z?\nAnswer: -60*z**2 - 96*z + 14946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1537, 1440, 1287, 1084, 837, 552, 235?\n\"Answer: j**3 - 34*j**2 - 2*j + 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 + 36*x - 62*x + 5 - 3*x**3 + 27*x. Does 6 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 6. Let s be i(-5). Solve c - 3 = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 432\/(-44) + 10\/(-55). Let h(k) be the first derivative of -k**3\/3 - 7*k**2 + 8*k - 13. Let m be h(r). Calculate the highest common divisor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 + 34 - 38*j**4 + (4 - 4 - 2*j**2)*(-j**2 - 2*j**2 + j**2) - j**4 + 4*j**4 - 2*j**4 + 2*j**4 + 3*j**4 - 4*j**4 + 5 - j**4 + 2*j**4 - 4.\nAnswer: -31*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + 11 + 2 + 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114.3069 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 + 2*u**2)*(-10*u**2 + 8*u**2 + 15*u**2).\nAnswer: 13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1071, 5, 58, 4.\nAnswer: 4, 5, 58, 1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 34 = 2*l. Let y = l + -13. Suppose -4*a = 3*n - 20, 3*a + 0*a - 15 = -3*n. Solve -2*m = d + 9, a*d + y - 3 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91.5 + -3.5. Let a = 88.000169 - l. What is a rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + (-12)\/(-8). Suppose r*v - 26 = 16. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + a = -3*s - 1, -4*s = -5*a - 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10876149467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 23999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 11*h - 2. Give p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6\/(-12)*-6. Solve -15 + 3 = p*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*12\/(-270) - (-16)\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-1*5 - (sqrt(119) + -6*1*sqrt(119) + sqrt(119)))\/(-2*(sqrt(112)*1 + sqrt(112))))**2.\nAnswer: 425\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - d + 487 = 0, -366 - 125 = -2*j - 5*d. Calculate the greatest common factor of j and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + h + h - 43, -4*h = 8. Find the third derivative of 2*o**5 + 5*o**5 + 2*o - g*o**4 + 50*o**4 + o**5 + 17*o**2 wrt o.\nAnswer: 480*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 12) in base 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, h: 6, c: 3}. What is prob of picking 1 h and 1 v?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219*l**2 + 440*l**2 - 224*l**2 + 41*l**4 wrt l?\nAnswer: 984*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - d = -71, -2*q + 93 = -6*q + d. Let v = -23 - q. Is -1\/7 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1, -5\/3, -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*-11.9\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 28*d**3 + 5*d**2 - 5*d - 5. Let b = -3685 - -3689. Let x(p) = 28*p**3 + 4*p**2 - 4*p - 4. Determine b*m(n) - 5*x(n).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 7*q = -81. Let c be 18\/(-27) - (-3 - 21\/q). Is 7\/32 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*o**3*x - 12*h*o**3 + 3*h*o**2*x + h*o*x - 3*h*o - 20*h*x + 6*o**2 wrt x.\nAnswer: h*o**3 + 3*h*o**2 + h*o - 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13450682 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 38 - 14 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086995 to 4 dps.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9898.436 rounded to the nearest 10?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 + 86*a + 2. Let o(h) = -6*h. Give w(o(y)).\nAnswer: 216*y**2 - 516*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 11*j - 214. Let u be c(14). Which is greater: u or -518\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 3 (c) 146 (d) -0.19 (e) -1\/4 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 3630.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -201.6 + 198. Let q = g + 4.6. Which is the second smallest value? (a) 0 (b) q (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 - 35*d + 892. Let r be f(-24). Suppose s - 6*s + 15 = 0. Suppose -2*x = s*x - 185. Solve 2*a + r*o = 24, -5 = 3*a + 5*o - x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -q + 30, 313*v - 4 = 2*q + 315*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5959 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Let b = -72829\/1428 + -871\/68. Let d = -574\/9 - b. Is y bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 12*f = 309. Let l = 407\/4 - f. Which is the fourth biggest value? (a) -1\/8 (b) l (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-154) - 122\/(-220))*(-1 - (6 - 0))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*k**4 - 275216*k**3 + k**2 - 4*k + 5272499.\nAnswer: 2628*k**2 - 1651296*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 646*q - 17405. Calculate the remainder when 1537 is divided by i(27).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-396)\/40 + 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 95*r + 175 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (3 - (11 - 9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/21*(0 + -7). Let g(j) = -j - 2 - p - j + 9*j + 9*j**3. Let y(n) be the second derivative of n**5\/5 + n**3\/2 - n**2 + n. What is -6*g(b) + 14*y(b)?\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7621401099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -84.09. Let v = -1.9 + o. Let u = v + -1.11. What is u rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**11*y))\/y**(-5\/3))\/(y**(5\/8)*y**(-13)\/y) assuming y is positive.\nAnswer: y**(73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -131*j**2 - 2*j. Let x(r) = 8515*r**2 + 131*r. Determine -131*u(p) - 2*x(p).\nAnswer: 131*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**10*l\/(l*l**(-9)*l)*l*l*l*l*l\/(l**(1\/8)\/l)*l*l\/l**(-6) assuming l is positive.\nAnswer: l**(255\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Suppose -2*y + 8 = -3*f, j*f = 3*y + 2*y - 20. Which is greater: 1\/3 or f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43785 and 252.\nAnswer: 175140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 453354 - 22153?\nAnswer: 431201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*o**5 - 21*o**4 - 1792*o**3 + 166*o**2 - 8841 wrt o?\nAnswer: 8820*o**2 - 504*o - 10752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + 2*z. Suppose -s = -3*s + z. Solve -s + 4 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153710 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6153708 is divided by 3076833.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-4)\/(-6) - -5. Let g(a) be the second derivative of -a**5\/20 + a**4\/2 + 3*a**3\/2 - 9*a**2\/2 + a. What is the units digit of g(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 8, 4, -5, -156, 10 in descending order.\nAnswer: 85, 10, 8, 4, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 16. Let f be g(12). Let u = 10 - 10. Let s be (-2)\/(-4 - (-9 - -3)). Put f, s, u in decreasing order.\nAnswer: f, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.04 + -4. Let w = 1.04 - j. Let i = 0 + 0.3. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 + 9 - -6) + (8 - 5). Put o, -4, 203, -1 in ascending order.\nAnswer: -4, -1, o, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 689 - 684. Solve 3*y = o*g - 3*g + 9, -y + 17 = 4*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + k - 2. Let u = -833 + 833. What is n(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**2 + 795*o + 2025. Let j be k(135). Let h be ((-1)\/4)\/(2\/(-8)). Put h, j, 12 in decreasing order.\nAnswer: 12, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 87748.\nAnswer: 87747.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/3 - 1)*-3. Let g = -10 - v. Let j(t) = 10*t**2 + 20*t - 11. Let f(r) = 2*r**2 + 4*r - 2. Let p(x) = 11*f(x) - 2*j(x). Calculate p(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let c = p - -1. Let h = -1 - 1. Is c >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z + 8*z - 18 + 18.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/4 - s**3\/2 - 37*s. Suppose -2*y = -3 - 1. Let b be w(y). Solve -b = -i - 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m. Let k(u) = 2*u - 4755. Determine s(k(n)).\nAnswer: -4*n + 9510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 - 2*f**2)*(-1 + 1 + 3*f)*(-5 + 1 + 2)*(3 + 2 - 4).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - 34*a**2 + 3892*a + 66169. Determine q(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 6. Let a(y) = -3*y - l*y + 7*y - 2. Is a(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4934 is divided by 1638?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3209 >= -3224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 - 5*z**5 + 3*z**5 + (2*z - 6*z + 2*z)*(-3*z**4 + 3*z**4 + z**4) - 4*z**5 + 9*z**5 + z**5 + 0*z**5 + 0*z**5 - z**5.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 3*w + 6. Suppose 20 = 4*j, 5*g - w*j = -j - 760. Let b = g - -215. Round b to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 plus -2932.7082?\nAnswer: -2819.7082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**4\/9 - 22*j**3\/9 + 8*j**2 + 10*j. Factor a(b).\nAnswer: -4*(b - 1)*(b + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.4, 12, -0.1, 2\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19))**(-8\/13) assuming c is positive.\nAnswer: c**(16\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*k = 57, -4*s + 74*k - 75*k + 7 = 0. Suppose -4*y + 0*y + 5*i = -8, 4*y - 8 = -5*i. Solve 5*q + y*t + 3 - 22 = 0, q = -3*t - s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200 - (118 + -290))*(-4)\/42*-3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*g - 6, -20*x + 16*x + g + 12 = 0. Suppose -4 = -2*d + 4*y, -5*d - 5*y + 4 = -6. Solve -2*r + d*b + 18 = -0*r, -2*b + x = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022.337ml in litres?\nAnswer: 2.022337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/3 + 2494*b**3\/3 + 54142*b**2\/3 + 296450*b\/3 = 0.\nAnswer: -1225, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o - 5. Let v(h) = -h - 1. Let j(d) = g(d) - 5*v(d). Let q(y) = -3*y + 16 + 9*y - 16. What is j(q(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 10 + (-4 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -258*u - 1539. Does 109 divide a(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*f + 5*c, -4*f + 4 = -c - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*r**3 - 48*r**3 - 4*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-5)*9\/15. Is -65 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59204.8 < 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.41, 3, 13 in descending order.\nAnswer: 13, 3, -0.41, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229424?\nAnswer: 2, 139339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 4*l + 13. Let h(d) = 3*d**2 + 13*d - 41. Let a(v) = 17*c(v) + 6*h(v). Let m be a(-15). Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-8)*x*x)\/x)**(2\/7)*x**(3\/8)*x**(-18)*x*x*x)**8 assuming x is positive.\nAnswer: x**(-915\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 55255 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 5*c + 142 = 0. Is c a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let j be 2 + (2 - 2)\/(-2). Let v = y - j. Sort 1, v, 0.\nAnswer: v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 11) + -3 + 4 + -3 + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3\/2 - l**2\/2 + l\/2 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**5\/5 + 43*f**4\/10 + 56*f**3\/5 + 29*f**2\/5 - 19*f\/5 - 846. Solve h(n) = 0.\nAnswer: -1, 1\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 807\nAnswer: -4\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) - 0\/(-2). Let m be 0 + (-143)\/(-11)*7. Let v be ((104\/m)\/4)\/(1\/7). Solve s = -v*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/6 - 13744645*r\/6 - 13744655\/3.\nAnswer: 5*(r - 2748931)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-40))\/((-3 + 0)\/18) + (-6390)\/(-120).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let c(z) = -53606*z**2 - z. What is v(c(p))?\nAnswer: 107212*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39678 is divided by 2759?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o - 8*o + 4 - 4. Let j(y) be the third derivative of y**5\/12 - y**3\/3 + 9*y**2 - 2*y - 6. Calculate a(j(w)).\nAnswer: 5*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -182. Let l be -2*(-1*3 - (11 - n)). What is the hundreds digit of (l\/20)\/(2\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -22*t**4\/13 + 582*t**3\/13 - 238*t**2\/13 - 582*t\/13 + 20 = 0.\nAnswer: -1, 5\/11, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from {y: 5, f: 11}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 3*b**2 - 5. Let v be (70 + -56 - (-4)\/(-1))*(-10)\/(-25). Determine g(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 + 32*n**2 - 68 + 29*n**2 + 8*n**2 to t + r*n + c*n**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + (-2 - -1). Let y = 3684\/55 + -67. Let i = y - -1\/5. What is the third biggest value in 3, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -642\nAnswer: 11\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-35) - (-5580)\/(-476)) + 19 + -8.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2563\/8 - -320. Let j = 27.73 + 0.47. Let q = j + -28.1. What is the closest to -0.02 in q, s, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548954798 divided by 239?\nAnswer: -2296882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*(l*(l*l**23)\/l)\/l*l))\/l**(-7))**(-2\/85) assuming l is positive.\nAnswer: l**(36\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 5. Let k be g(0). Put k, 2, -3 in descending order.\nAnswer: 2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3) - 1475\/(-525))\/(9*205\/2214)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**9\/15120 + x**7\/1260 + x**5\/10 + 5*x**2. Let j(g) be the third derivative of n(g). Factor j(y).\nAnswer: -4*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/(v\/(v*v**(-1\/3))))**(-4\/9) assuming v is positive.\nAnswer: v**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5\/6 + 4*z**4\/3 - 19*z**3 + 116*z**2\/3 + 113*z\/6 - 40 = 0?\nAnswer: -16, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, s: 4}. Give prob of sequence tsst.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02787 + 0.37213. Which is the third biggest value? (a) l (b) -2\/11 (c) 391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - 126\/(-12))*8\/14. Solve -3*u - 14 = z, -5*z + 30 = c*u - 7*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/146, -3, -0.2, -2?\nAnswer: 3\/146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6007, -5999, -5969, -5905, -5795, -5627, -5389, -5069?\nAnswer: -4655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -101?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 59 - 16 = -2*w, 3*w + 47 = -o. Let z be ((-8)\/w)\/((-30)\/(-105)). Suppose 1 = -a + 6, z*k = -5*a + 87. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*r + 168*r + 3006 = -1618 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + g - 10. Suppose -j + 52 = g*y, 5*y + 0*j = 4*j + 104. Calculate the remainder when y is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*f**4 - 3*f**3 + 9\/2*f**2 - 6 + 6*f.\nAnswer: -3*(f - 1)**2*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 64 (c) -3\/37 (d) -3 (e) -5 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 - -4d?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*o + 50, 0 = 4*t + 3*o - 11 - 22. Let b = 14 - t. Let x = b + 46. Calculate the highest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106707 - 50?\nAnswer: 106637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -69*g**2. Let f(c) = -c + 341. Calculate f(v(m)).\nAnswer: 69*m**2 + 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 0*t**4 + t**4 - t + (-1 + 4 - 1)*(t**4 - 16*t**4 - t**4) as l*t**3 + j + s*t + f*t**4 + w*t**2 and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1\/36*r**6 + 68*r**2 + 1\/504*r**8 + 11\/945*r**7 + 0 + 1\/54*r**4 + 1\/30*r**5 + 0*r + 0*r**3. Suppose f(v) = 0. Calculate v.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 166?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -5) + (1 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-12)*86\/(-43).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 679, 1019?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61699 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 2*x + 22, -278*x = -280*x + 50*t - 344 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.697596 centimeters in nanometers?\nAnswer: 16975960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99)*4 + 0 + sqrt(99))) + 5*sqrt(99) + 3)**2.\nAnswer: 18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -6. Let o be (120\/18)\/(t\/(-6)). Suppose 0 = 2*s + 2*z - 0*z - 40, 5*s + 3*z - 110 = 0. Calculate the highest common divisor of o and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.38005659 to three decimal places.\nAnswer: 65.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 713533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 5115, 17870, 42789, 83946, 145415?\nAnswer: 231270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-10)*-2*(-3)\/(-9). Is p greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, b: 7}. What is prob of sequence uubu?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -597*u + 299*u + 298*u + u**2 + u**2. Let f(w) = -25*w**2 - 13. Calculate v(f(g)).\nAnswer: 1250*g**4 + 1300*g**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + -24. Let x = 53788 + -53839.002. Let z = x - d. Round z to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 13*a - 40. What is w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 155\/23 = 128\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*q + 46 = 0, m - 2*m - 12 = 2*q. Let z(w) = 17*w - 5. Let x(d) = -50*d + 14. Give m*z(p) - 3*x(p).\nAnswer: 14*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/274 and 383.09 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14796\/4384*(3*-8)\/(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -675*z**4\/7 - 144945*z**3\/7 + 2869638*z**2\/7 - 757500*z\/7 + 50328\/7 = 0.\nAnswer: -233, 2\/15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7225*t + 395225 + 96075 = 0 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/(o*(o**(3\/4)\/o)\/o))\/((o*o*o**(-16))\/((o\/(o*o**4))\/o)) assuming o is positive.\nAnswer: o**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1281959 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 98. Let t = 36 - u. Let m(o) = -o**2 - o - 1. Calculate m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 212 = 38*a. Solve a*o = 2*q + 4, 2*o - 3*q + 4 = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10910*j**2. Let g(i) = 16*i**2. Determine g(f(u)).\nAnswer: 1904449600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1489076459 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350509.\nAnswer: 41, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3231 and 13\/4487859.\nAnswer: 4487859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*r - 3558 = 0, 0 = 29*z - 34*z - 3*r + 4453. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9363)\/(-15))\/((-2)\/(-5)). Let c = 1531 - p. Suppose 3*g = -5*k + 10 + 183, 0 = -5*k - 4*g + 189. What is the common denominator of c and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 315 = -297 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(95)*5 + -6*2*sqrt(95))\/(-3*((sqrt(605) - sqrt(605)*2*2) + sqrt(605))).\nAnswer: 4*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 769075 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13855000 to the nearest 100000.\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*s + 12, 0 = 4*n - s - 20. Suppose 0 = n*k - 2*d - 48, 0*k + 5*k - 60 = 5*d. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*d - 46, 0 = 4*t - 3*t + 2*d + 8. Let g be t\/6 + 4\/6. Let a(q) = -q**2 - 28*q - 96. Let s be a(-4). Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -102*(-2)\/(-16)*12\/(-9). Solve 0 = y*n - 21 - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d - 21. Let h be v(-9). Is h at most 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 387078*h + 2709644.\nAnswer: -2*(h - 7)*(h + 193546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, f: 1, h: 2}. What is prob of sequence fph?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + o. Let s be r(-1). Suppose n + 5*t + 2 = 0, -s*n - t = 2*t - 3. What is the lowest common multiple of (n - 51\/9)*-6 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(-9)*12\/10. Solve -c - c = j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**2 + 5 + 1 + 22*b**3 - 34*b**3 + 85*b**3 wrt b.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 535 (base 9) to base 12\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {y: 2, j: 5, n: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -773*z. Let k(l) = 2*l + 167. Calculate k(u(a)).\nAnswer: -1546*a + 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -2a3?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 4*p - 1. Let k(a) = -a**2 - 4*a + 2. Let d(y) = -5*k(y) - 4*o(y). Give d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + 2*z**4)*(z + z - z) - 274*z**5 + 339*z**5 + 443*z**5.\nAnswer: 510*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.7 + -5. Let p = -0.2 + 0.3. Let t = -0.1 - p. What is the nearest to t in -1, 2\/17, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1314*o + 46. Let f(g) = 879*g + 31. Determine -22*f(s) + 15*x(s).\nAnswer: 372*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*y + 6, -8 = -2*o + 4*y - 26. Let n = -1 - o. Find the third derivative of -28*m + 28*m - m**4 - m**n wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 187 = -7*b + 37 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-36)*50\/25.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 2*h + 6. Calculate the lowest common multiple of (-47)\/(-5) + (-43)\/(-5) + (-45 - -36) and a(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 6 - 46 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2104 times -0.19\nAnswer: -399.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -97946 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64.6 - 65. Let d = 4.152 + 0.778. Let l = -0.07 - d. Sort l, g, 4.\nAnswer: l, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/420 + l**5\/42 + l**4\/21 - 3*l**2 + 3. Factor n(r).\nAnswer: 2*r*(r + 1)*(r + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 66*x + 3. Let f(g) = g**2 - 65*g - 2. Determine -2*d(i) - 3*f(i).\nAnswer: i**2 + 63*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (107\/(-2))\/(9\/(-6)). Let r = -36 + j. Which is the closest to 1\/3? (a) 0.3 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18247 and 3690083.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 12*y**2 + 2*y + 10. Let u be w(7). Calculate the common denominator of (-3)\/(-4) + 1819\/u and -109\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21.871 and 14.8.\nAnswer: 36.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2\/5)*f*f)**(18\/7)\/(f**(-2\/5)\/f*f)**(-6\/5) assuming f is positive.\nAnswer: f**(1536\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let i(x) = -x**2 + 7*x - 76. Let z(u) = -u**2 + 8*u - 91. Let d(f) = 6*i(f) - 5*z(f). Calculate d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5282, -21106, -47474, -84380, -131818?\n\"Answer: k**3 - 5278*k**2 + 3*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 4)*1\/2. Differentiate -5*s**2 + 7 + 2*s - a - 2*s wrt s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82930?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*v - 8*v + 150428, -4 = 2*v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29950059.\nAnswer: 3, 43, 232171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -3. Let x be 140*(16\/10 + k). Is x*(-1 - 0) + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -130*q + 492*q - 21 - 135*q - 154*q + 3*q**2 - 144*q wrt q?\nAnswer: 6*q - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24364, -24383, -24402, -24421?\nAnswer: -24440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1038 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 33\/7*q**2 + 3\/7*q**5 + 0*q + 0 - 3\/7*q**3 - 33\/7*q**4 = 0?\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 5*r**2 + 1 + (-5 + 0 + 4)*(3*r**2 - 5*r**2 + 4*r**2) as w + f*r + l*r**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x**3 - 138092*x**2 + 82840*x + 55232 = 0. Calculate x.\nAnswer: -2\/5, 1, 6904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 6312530.028?\nAnswer: 6312535.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 27 = 5*i, 68 = -2*h + i + 77. Solve h = -32*b + 30*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 5}. Give prob of sequence ll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 143801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = n, 4 - 5 = -4*n + d. Suppose n = v - 0 - 4. Suppose 0*b = -3*b + 24. Calculate the smallest common multiple of v and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-15)*(-45)\/(-6). Let y = 10 + j. Suppose -2*u - 12 = -y*u. Calculate the least common multiple of u and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -13. Is 0 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6867430 and 1440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/24*3*2092\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 7:40 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 52.8. What is the closest to 0.1 in 25, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11222 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, b: 3, s: 3, i: 1}. What is prob of sequence isj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337089982 to the power of 1\/2, to the nearest integer?\nAnswer: 18360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*n - 3*n. Let c(f) = f**3 + 17*f**2 - 14*f + 74. What is the least common multiple of n and c(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*z**4 + 92*z**4 - 1369*z - 185*z**3 - 26*z**4 - 32*z**3 wrt z.\nAnswer: 12*z**2 - 1302*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:30 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0719, 2\/7, -0.2 in descending order.\nAnswer: 2\/7, -0.0719, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166 + 186. Suppose -x = 4*j, 3*i - 2*j = 6*i - 1931. List the prime factors of i.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3875\/50 + (-2)\/(-4). Solve 9 = 75*h - r*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946*u - 697*u - 1367*u - 1323*u.\nAnswer: -1441*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777460992 to the nearest integer?\nAnswer: 27883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 25 = r, -2*r + 4*r - 4*a - 62 = 0. Let j = r + -11. Suppose 53 + 19 = 3*m. What is the greatest common factor of m and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221692, 443338, 664984, 886630, 1108276, 1329922?\nAnswer: 1551568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 281.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(22)\/(sqrt(6)\/sqrt(3)) - 4*(sqrt(11) + -1))**2 + sqrt(11) + sqrt(11) + 2*sqrt(11) + 1 + (sqrt(11) - (-4 + sqrt(11) + 0)) + -4.\nAnswer: -28*sqrt(11) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 2*m + 1, m - 3*d - 33 + 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 4065, 10188, 19037?\nAnswer: 30612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16724653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-35))\/(4\/(-10)). Let d = -3 + 0.8. Let w = -1.2 - d. What is the closest to -1 in b, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.56 minus 0.08221397048?\nAnswer: 92.47778602952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*y - 14 - 5 = 0, -5*y = -u + 17. Are -1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/17530 and 169\/1344.\nAnswer: 11780160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -850, 4, 0, 1 in increasing order.\nAnswer: -850, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.0354517 rounded to 2 dps?\nAnswer: 30.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * -3518.613.\nAnswer: -598.16421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d**2 - 8*d - 2. Let s be r(-3). Solve -14 = -4*k + 2*y, 0 = 2*k - s*y - 4 - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66277932 divided by 3?\nAnswer: 22092644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2 + 3*y + 6*y**2 + 1 - 3 + 7. Let h(j) = -2*j**2 - j - 1. Let w(n) = -2*n**3 + 16*n**2 - 14*n - 4. Let g be w(7). Calculate g*c(s) - 11*h(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 676941 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:57 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-125)*(-12)\/36.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299 - 299 + 114*k)*(0*k + 3*k + 3*k).\nAnswer: 684*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**13)**(2\/19)\/(k**(-23)\/k**(-1\/8)) assuming k is positive.\nAnswer: k**(3685\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665649393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 528 = 285. Let x(a) = a**3 + a**2 + a. Let u be x(0). Is u - (-758)\/3 - 3\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 8*g + 60, -4*g = 832*l - 835*l + 36 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27079 - 40435. What is n rounded to the nearest 100?\nAnswer: -67500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c + 1. Let j(a) = 21*a + 2. Let m(u) = 15*f(u) - 6*j(u). What are the prime factors of m(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) -7 (c) 0 (d) 38\/4311\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 291744 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*p + 15*p**2 + 5*p**2 - 6*p**2 - 2 - 6*p**2 - 13*p**2 as y*p + t + i*p**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*r**3*y**5 + 3*r**3*y**2 + 157*r**2 + 8*r*y**6 wrt y?\nAnswer: -6480*r**3*y**2 + 960*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -517924.\nAnswer: 17091492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 912.2446 and 2.\nAnswer: 1824.4892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572623 is divided by 509.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:56 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(-2*-1*sqrt(77))\/(3*-4*sqrt(7)) + 1.\nAnswer: -5*sqrt(11)\/6 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10801?\nAnswer: 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 26) + 26 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z. Suppose -2*k + 3*k - 3 = z. What is the closest to -0.2 in 2, 0.5, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z + 2*z**3 - z**4 + 26*z - 34*z + 2 - z**2 in the form o*z**3 + i + x*z**2 + j*z**4 + l*z and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*u**2 + 2*u**3 + 193*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 51, 38, 23, 6, -13?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3268735991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 95 = -3*c + 260, -4*c + 5*m + 175 = 0. Let n = c + -35. Calculate the remainder when 28 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*k + 458, -2*w + k + 88 = -104. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 + 50. Solve -7 = 2*u + p - 1, w = -5*u + 3*p - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 103 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6 and -67\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 172455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63916 and 1140.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, a: 1, l: 3}. Give prob of sequence sa.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmrmmrmlrmlmmalll. Give prob of sequence lar.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -119. Let v be (161\/322)\/(i\/(-512) + 0). Calculate the highest common factor of 192 and v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + p = 11, -5*s + p + 0 = -5. Let c = -3 + 6. Suppose -3*i - 4*i**2 + c*i**3 - 2*i**4 + 5*i**4 + 0*i**s + i**2 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 486*k**7\/35 + 891*k**6\/10 - 153*k**5\/5 - 10693*k**4\/6 - 19652*k**3\/3 + 5*k**2 - 46. What is b in w(b) = 0?\nAnswer: -17\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5610456 and 48?\nAnswer: 11220912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(100)*-6)\/(sqrt(405) + sqrt(405) + sqrt(405)*2 + sqrt(405) + sqrt(405)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfx when three letters picked without replacement from xfx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 382 divided by -2\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 123 * -11.44.\nAnswer: -1407.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m - 2*m + 2*m**4 + 121*m**3 + 36*m**2 + 16 - 107*m**3 = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9345*b**3*s*v**2 - 3*b**3*s + 3*b**2*s*v**4 - 3*b**2*s - 2*b*s*v + b*v - 18365 wrt v?\nAnswer: -18690*b**3*s + 36*b**2*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + -3.98. Put i, 0.4, -0.4 in descending order.\nAnswer: 0.4, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/246 in 3, -0.2, -9\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1493 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.086 (b) 2\/3 (c) 1\/4 (d) -7\/2 (e) 2\/165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 60*p**2 - 182*p + 10. Does 115 divide u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119361 - 189*a + 119361)*(1 - 2 - 1)*(0*a**2 + 0*a**2 + 2*a**3) + (3 + 3 - 5)*(2*a**4 - 3 + 3).\nAnswer: 758*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*h + 29784, 2*h + 2*y - 29805 = -h. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 50800*k**2. Suppose 0 = 5*z - 0*c - 5*c + 155, 0 = z - 4*c + 28. Let a = 37 + z. Let b be j(a). What is b rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 227 + -102. List the prime factors of (6180\/50)\/(5*10\/j).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2. Let y(i) be the first derivative of 2*i**3\/3 - 3*i + 473. Determine y(b(g)).\nAnswer: 8*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 589\/7 + -84. Let s = 3 + -5. Let i = 469 + -472. Which is the third biggest value? (a) h (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24174 equal to 24174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 4005?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o. Let f(w) = -w + 5. Determine u(f(x)).\nAnswer: 2*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0*k**2 + 6 + 3*k + 2 + 3*k**2 - 2*k**2. Is 13 a factor of h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 169*q - 6. Let i(m) = 170*m - 4. Let y(k) = -3*i(k) + 2*x(k). Let p(b) = -b**2. What is y(p(s))?\nAnswer: 172*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g - 1. Determine z(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/64*3130\/(-2817).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165175181149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqtqsstqkqsgsskqkss. Give prob of sequence sgk.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - 5*t - 8, v = 5*t - 1. Let s(k) = 36*k + 19. Is s(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*b*d**2 + 5*b + 333*d**2 with respect to b.\nAnswer: 21*d**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x - 2. Let j(r) = 7*r + 3. Let i(v) = -5*j(v) - 6*z(v). Suppose -9*o = -8*o - 8. Does 3 divide i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425665.\nAnswer: 5, 85133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**6\/120 + r**5\/30 - r**4\/24 - r**3\/6 + 2*r**2. Let o = 36 + -34. Is y(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -663897\nAnswer: 7966764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*a + 0 - 2*a**2 - 130*a + 58*a - 3*a**3 - 1 - 2 as v*a + i + n*a**3 + t*a**2 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**4 + j**3. Let q(d) = 9*d**4 + 6*d**3 - 2*d**2 - 2*d - 6. Let w(g) = 6*m(g) - q(g). Find the second derivative of w(s) wrt s.\nAnswer: 36*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15057\/8604*(-2)\/7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-3*(sqrt(192) - (sqrt(192) + -2 + sqrt(192) - sqrt(192))))**2 - 2*((sqrt(192) - (sqrt(192) + 2)) + sqrt(192))**2))*-1*-1.\nAnswer: -361 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + 6 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76370003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1161203 at most as big as -1161204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5614356 microseconds in seconds?\nAnswer: 0.0000005614356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, c: 3, i: 7}. Give prob of picking 2 c.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*k**3 + 8*k + 0*k + 2 + 209*k**3 as s + r*k**3 + p*k + w*k**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -0.4, -0.6, -0.5, 5.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/9, 1\/3, 2.27, 0.1, -19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/5)\/(-3 - -1). Is (-1 - (-4 - x))\/2 - -27 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (3 - (-5788)\/(-12))\/(199\/(-8955))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 457235372*l\/3 + 26133023175997298\/3.\nAnswer: 2*(l + 114308843)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**4*z - 2*j**4 + 3*j**3*r + 40*j**3*z + 2*j**2*r - 72*j**2*z - 2*r wrt j?\nAnswer: 72*j*z - 48*j + 18*r + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 1, v: 1, l: 9}. What is prob of picking 1 v and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(14)\/sqrt(2) - (2 + sqrt(35)\/sqrt(5) + sqrt(7))*-2.\nAnswer: 13 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001111101100 - 10?\nAnswer: -1000001111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-14))\/(1\/(-4)). Suppose 0 = v*y - 423 - 817. Calculate the common denominator of 83\/4 and ((-3)\/15)\/((-8)\/y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 19976 = -21*r. Let m = r - -12891. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 4*f**4\/3 - f + 33. Let z(j) = 14*j**2. Calculate u(z(o)).\nAnswer: 3136*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -20*m**5\/13 - 113874*m**4\/13 + 262130*m**3\/13 + 649200*m**2\/13 - 820440*m\/13 - 1230336\/13 = 0.\nAnswer: -5696, -3\/2, -6\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636213 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v**(-3\/5)\/v*(v\/v**(-10)*v)\/v**(-1\/5))**(-19) assuming v is positive.\nAnswer: v**(-1102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 - -868960\nAnswer: 868960.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, 1 y, and 1 t when four letters picked without replacement from {t: 1, g: 1, y: 2, j: 3, m: 1, h: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12410341 is divided by 12410332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250549 is divided by 13184?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*v + 4 = 0, 6 - 32 = -3*c + v. Let i = c + -1. What is the lowest common multiple of i and (-3)\/((-3*(-3)\/27)\/(-1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**16)**(-18)\/((((i*i**(-2\/45))\/i)\/i)\/(i\/(i\/((i**(-28)*i*i)\/i*i))*i)) assuming i is positive.\nAnswer: i**(-14038\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -1, 1, -11730, -4.\nAnswer: -11730, -5, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 5*z. Let k(p) = p**3 - p**2 + 4*p. Determine -5*k(q) + 4*r(q).\nAnswer: -q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 - 1)*(m - m + 2*m**3) + 7*m**3 + 6*m - 6*m + (-4*m**3 + m**3 + m**3)*(3 - 1 - 3) in the form u*m + n*m**3 + q + i*m**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by 51?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/7 - 6*b**4\/7 - 54*b**3\/7 + 270*b**2\/7 - 324*b\/7.\nAnswer: 2*b*(b - 3)**3*(b + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(726) - (sqrt(726)*1 + sqrt(726)))\/sqrt(3)*1)**2.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.2 - 19. What is the third biggest value in 3, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10240 divided by -10\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -3344222\nAnswer: -16721110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijbj when four letters picked without replacement from jjijuib?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y**3 - 4*y**3 + y**2 + y + 10*y**3 - 4 as i*y**3 + z*y**2 + p*y + n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by -38.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:10 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*u - 34, 0 = -i + 3*u - 2*u + 7. Suppose i*v + v = 917. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -24*s. Let c(i) = 913*i. Let a(l) = 6*c(l) + 231*t(l). What are the prime factors of a(-3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 1, o: 1}. Give prob of picking 1 a and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -68 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4600 or -4605?\nAnswer: -4600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.7 + 6.7. Which is the closest to 1\/2? (a) h (b) 3\/8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -246173, -246245, -246317?\n\"Answer: -72*a - 246101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 divided by -447928?\nAnswer: -709\/447928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*x + 7, -2*a - 18 = -3*x - 4 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + -3)*1 + 4)**2 + ((sqrt(76) - (sqrt(76) + 2 + -2*sqrt(76))) + 0)**2.\nAnswer: -8*sqrt(19) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + 1)*3168531\/81 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -35*o - 60 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/47 and -89\/745350.\nAnswer: 35031450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -6 (c) 0.047 (d) 78 (e) 0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85870 and 98097888.\nAnswer: 490489440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212 + 11?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.3? (a) -2\/11 (b) 42 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 3. Let z be y(-3). Let b = 4 - -1. Let f be b\/(z\/6) - -15. Solve 2*l - 4 = 4*t, -3 = -2*t - 5*l - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 + 7*a + 4. Let q be 81\/(-12) + (-1)\/4. Let v be f(q). Let d be (-12001)\/v - 2\/(-8). Round d to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 8. Suppose 1 = v*b - 3. Put b, -8, -3 in ascending order.\nAnswer: -8, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(4\/14)\/(12\/(-28)). Let r(s) = 2*s**2 - s + 1. Let c be r(1). Let x(o) = 4*o**3 - 3*o**3 + c*o**2 + o**2 - 1 + 2*o. Give x(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2419484 divided by 107\nAnswer: 22612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-5))\/(1\/(-3)). Sort -1\/4, h, -0.11 in decreasing order.\nAnswer: h, -0.11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112008 or -112006?\nAnswer: -112006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v - 1. Let r(f) = -f + 3. Let k be r(4). Let t(l) = -3*l**3 - 4*l**2 + 5*l + 5. Let u(d) = k*w(d) - t(d). Let u(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Let c be (8\/12)\/(v\/(-84)). Let h = 48 + c. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -6*u - 84. Suppose u = -g + 4*g. Solve 5*s + g = -2*c - 4, c - 5*s - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -297168 bigger than -297320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2 + 15 + 5*q - q + 4. Let o be v(-5). Solve -o = 2*a - 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3*w + 33, -24 = -2*q + 13*w - 16*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3402 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-20*(-25)\/(-125) + 22\/8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*l + 28*l - 5*y - 8, -185*l - 4*y = -183*l - 2 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9520362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 21 + 9. What is the units digit of (w - 0)*282\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/(-5) + (-2288)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttaaceaa. What is prob of sequence tatc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39833 + 79855. What are the prime factors of q?\nAnswer: 2, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 329850 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-126)\/(-8))\/((-18)\/96). Let h = x - -58. Let c = 30 + h. What is the second smallest value in c, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 2*n - 1.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1998\/7, -1\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163.209 - -0.209. Let x = v + 162.9906. Round x to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170.458895 rounded to the nearest ten?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccouomzz. What is prob of picking 2 o and 2 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/91 and -1\/156.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**4\/4 - 2*c**3\/3 + c**2\/2 - 2*c + 3. Let a be z(-2). Is a\/4 - -1 - -76 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.206 rounded to 1 dp?\nAnswer: -51.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*m - 13 = -2*m, -2*y + 5*m = -35. Let h = -10 + y. Suppose 5*f = -o - 129 + 316, 175 = 5*f - h*o. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16a26 - -4?\nAnswer: 16a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 3912. Let a = j - 1069. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-4 - -17) - (35 - 27 - (-33 - 2))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*b**3*q**3 - 27*b**3*q**2 + 7*q**3 - q**2 + 27 wrt b.\nAnswer: 27*b**2*q**3 - 81*b**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 3*u + 42 - 39)*(28*u - 3*u + 25*u).\nAnswer: -150*u**2 - 1200*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5770 + 63468\/11. What is the third smallest value in 3, -23, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2543*k + 511. What is the tens digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*u**2 + 64*u**2 + 65*u**2 + 64*u**2 + 231 - 270.\nAnswer: u**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -155168, -155162, -155154, -155144, -155132?\n\"Answer: u**2 + 3*u - 155172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 655447*f**3 + 15*f**4 - 655447*f**3 + (f - 3*f + f)*(0 + 0 - 2*f**3) as b + g*f**3 + c*f + d*f**2 + k*f**4 and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11822887 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 32*c - 28*c - 6604, -2*a = 2*c - 3296. Round c to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -6, 2\/10675, -4 in decreasing order.\nAnswer: 2\/10675, -1\/7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*p - 12*m + 35, -3*p - 2*m + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, n: 2, z: 2}. What is prob of sequence nz?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/(-42) - (-27)\/(-14))*-2. Let q(t) = -t**2 - t + 4. Determine q(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - (-324)\/(-552). What is the third biggest value in -4, 4, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a = 118 + 101 + 1491 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)\/(r**3\/r)*r**3*r\/(r*r**(-3)) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 45618 (base 16) to base 3\nAnswer: 112102211100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 55*b**2 + 4*b + 5. Let u be x(-1). Suppose -9*q + 253 = -20*q. Let g = q + u. What is the lowest common multiple of g and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771845239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*x**4 + 7*x**5 + 46*x**4)*(-1 + 4 - 1 + 0 - 1 - 2 + (-1 - 4 + 6)*(-1 + 3 + 0) + 13 + 11 - 7).\nAnswer: 126*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.197817.\nAnswer: 0.0395634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13921983 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 10608.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 18*s**2 + 5*s + 2. Let x be (144\/40)\/(1\/5). What are the prime factors of v(x)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*i + 97*i + 108*i + 99*i - 392*i.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 13, t: 5}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 12, -7, -16\/5, -6\/7 in decreasing order.\nAnswer: 12, -0.2, -6\/7, -16\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5 + 108*w**4 + 483*w**3 + 546*w**2 - 396*w - 744 = 0.\nAnswer: -31, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 44434 = 19*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110c9 (base 13) to base 7\nAnswer: -156104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, m: 1, r: 1, d: 2, w: 1, h: 1}. What is prob of sequence wdhr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661, 1278, 1895, 2512?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m**2 + 2. Let z be o(0). Let k(s) = 8*s**2 - 2*s + z*s - 1. Let t(v) = -v - 7. Let x be t(-6). Give k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 12 - 36 + 3 + 45. Let u(c) = c**2 + 5*c + 1. Determine 3*j(p) - u(p).\nAnswer: -p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*m + 4, -4*k - 4*m - m = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 16) in base 14?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/945*-6)\/((-36)\/(-135)*1).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44207 and -122.\nAnswer: -5393254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 571, 843, 1099, 1333, 1539?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8078*b**3 - 19213*b.\nAnswer: 48468*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 + 0.74. Which is the closest to t? (a) -54 (b) -2\/11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(-1369*r**2 + 407660*r - 407660*r)*(-4*r**2 - r**2 + 2*r**2) - r**4 + 3*r**3 - 3*r**3.\nAnswer: -8215*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.057502 * -0.3.\nAnswer: 15.6172506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*a**2 - 9497271828 + 9497271828.\nAnswer: 70*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 3, 14, -226 in increasing order.\nAnswer: -226, -7, -4, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00053479487 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34888 and -34.6.\nAnswer: -34922.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -2. Let u(m) = m**3 + 2*m**2 - 2*m - 2. Let s be u(d). Suppose -l = -s - 50. Round l to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((510\/(-15))\/(-408)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 12:07 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, w: 1, j: 3, q: 11, h: 2}. Give prob of picking 2 h and 1 w.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420880.\nAnswer: 2, 5, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20182039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16878 - 16882. Sort 2, 4, j, -90 in decreasing order.\nAnswer: 4, 2, j, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028770764 rounded to 7 decimal places?\nAnswer: -0.0002877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17744?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198868 is divided by 919?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 136\/(-51)*(34\/(-8) - -2). Suppose d*b - 40 = -28. Solve -2*c - b*c - 5*k = 13, c + 4*k = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4610.\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49409.6835 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from {a: 7, y: 2, m: 2, e: 2, z: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130646 by -65323.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*q**2 - 38*g**2*q - 6*g*q + 346*g - 2368797*q**3 + 10 wrt q.\nAnswer: -4*g**2 - 14212782*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1561*d - 16953. Calculate y(11).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 884717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/6*270\/(-150)*(-15)\/(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*f + 4*f - 47*f in the form n + v*f and give v.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -3, -2, -6, -1 in ascending order.\nAnswer: -62, -6, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 811794, 1623599, 2435418, 3247257, 4059122, 4871019?\n\"Answer: y**3 + y**2 + 811795*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7337 = -7*y - 12578. Let k = y - -443767\/156. Calculate the common denominator of k and 91\/20.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 98\/297 - 4\/27. What is the second biggest value in o, 1, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-5) - 2\/10*2. Solve x*w - w + 5*p + 30 = 0, 0 = 5*w - 5*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(9\/2)*-30. Suppose m = p - 5*p. Let k(d) = -d**3 - 3*d**2 + 7*d + 2. Let b be k(p). What is the highest common factor of b and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 18*a = 2088. What is the highest common divisor of 435 and a?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1152)\/(-5) + (-5 - (-92)\/20). What is the highest common factor of j and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.759062mm?\nAnswer: 2759.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57753939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681954819 is divided by 4023?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:01 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9) + -2 + 2 + 1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1044, 1115, 1188, 1263, 1340?\n\"Answer: s**2 + 68*s + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14444 and 2944.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 3\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1085\/(-775) - (-484)\/10. Solve 5*m - 3*g = -n, 12*m - 10*m + g + 10 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2021a0462 + -5?\nAnswer: -2021a0467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/6)\/o)\/o**(-17)*(o**(-7)*o)**(-5\/8))**(-47) assuming o is positive.\nAnswer: o**(-11233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6106 + 6105.9991883. Round y to 5 decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**3 - 38*j**2 - 19. Calculate u(-13).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, 115\/6, -33372 in ascending order.\nAnswer: -33372, -0.5, 4, 115\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -3*v**7\/10 - 9*v**3 - 2*v**2 + 37. Differentiate h(a) wrt a.\nAnswer: -252*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-3)*-1*-6*28\/1764. Which is the smallest value? (a) 3 (b) 1 (c) s (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1324 (base 7) to base 15\nAnswer: 23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 4*g - 5*x, 5*g + 2*x + 2*x = 162. Calculate the smallest common multiple of g and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 387.481899 - 624.7.\nAnswer: -237.218101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 5. Let l = 3 + j. Let k = -9.1 - -9. Which is the biggest value? (a) -2\/3 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 - 3436?\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + 5928b1?\nAnswer: 5928bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -276\/113?\nAnswer: -276\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckkkkksssstkkttkc. Give prob of picking 2 t.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10876 + -108869\/10. Find the common denominator of -4\/5 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3143 + 4?\nAnswer: -3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/11, 0, -4, -6123?\nAnswer: -6123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-82)\/4 + -3 + 7\/2. Let r be ((v\/(-72))\/5)\/((-1)\/(-4)). Let a = 82 + -82. Sort r, -1\/4, -3\/2, a in descending order.\nAnswer: r, a, -1\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6356287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*s - 13, -4*n + 2*n = s + 4. Solve -s = j + j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -11. Suppose -2*i + 10 = 3*i. Let x(p) = p - 6 + p**2 + 0 + 0*p**i - 6*p. Determine x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9763249507.70720031 - 628177836.70718121. Let b = -9135071247 + q. Let m = 424 - b. Round m to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + l = 15, 4*k - 9*k = -l - 51. Let a(h) = 219*h - 76. Is a(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21038366, -21038375, -21038384, -21038393, -21038402, -21038411?\n\"Answer: -9*g - 21038357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - j - 6 + 5 - 3*j**4 in the form g*j + v*j**4 + y*j**3 + d*j**2 + q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 579.04 litres in millilitres?\nAnswer: 579040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*-1*-2. Let p be (-2 + 1 + 4)*k. Suppose p*r = -12, -2*r = f + 3*r + 11. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4\/21 - 10*y**3\/21 - 16*y**2\/7 - 8*y\/21 + 64\/21 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*k**3 + 43256*k - 202351?\nAnswer: -12*k**2 + 43256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 + u + 10. Suppose 8 = 2*h, h = -4*a + 2*h - 32. Let o be q(a). Suppose -o*i = -0*i - 60. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5281 is divided by 528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45 - 16?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 2*u**7\/21 - u**3\/6 + 3*u + 3. Let h(g) be the first derivative of a(g). What is the second derivative of h(p) wrt p?\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3080566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -1220?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*v + 120 = -0*v, 4*n = -5*v + 92. Let t(p) = 4*p**2 + n - p - 24 + p**2. Let o(u) = u - 1. Let a(b) = 3*o(b) + t(b). What is a(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 a, and 1 p when three letters picked without replacement from {o: 1, v: 5, r: 1, p: 1, z: 1, a: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*g - 348 = 0, -10*r + 3*g = -13*r + 210. Solve 65*d - 3 = r*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 4. Suppose 0 = -4*z - 0*z + 20. Is w(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324225?\nAnswer: 3, 5, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 0. Suppose 0 = 2*l - n - 3793, f*n + 0*n = -2*l + 3799. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128040 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -2\/11, -250, -1.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -288705.95414.\nAnswer: -288704.95414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.3. Let j = l + -0.3. Let o = 8\/13 + -30\/91. Put j, o, -1 in decreasing order.\nAnswer: o, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581160\/(9 + 3) + 7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-12) - (-26)\/(-39)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*n**2 - 66*n**2 - n**3 - 3*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**3\/6 - w**2 + 11*w. Let n be l(8). Find the second derivative of 3*q**2 + 8*q**2 + q + n*q wrt q.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 53 = -f, -7*f + 39 = -2*z - 57 - 42 + 115 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3564130.\nAnswer: 2, 5, 41, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(65)\/(sqrt(15)\/sqrt(3)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**6 - 6*z**3 - 3*z**2 + 6*z - 6. Let h(c) = c**6 + c**3 - c**2 - c + 1. Let n(m) = -6*h(m) - s(m). Find the third derivative of n(r) wrt r.\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 11*f**2 - 9. Let z be y(11). Let v be ((-6)\/z)\/(4\/6). Let n be v + ((-5368)\/(-8) - 1*2). Round n to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -6, -2, 2 in ascending order.\nAnswer: -6, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 815.275 - 817. What is j rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 3*k + 27, -4*c - 5*k = -2*k + 22. Let l = c + 10. Suppose 7*t = 4*t - l, -5*h + 4*t = -39. What is h rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 - 60938*z - 928359961 = 0.\nAnswer: -30469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 121*z**6\/120 - 1727*z**5\/60 + 217*z**4 + 1176*z**3 + 914*z**2. Solve t(w) = 0 for w.\nAnswer: -1, 84\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -141, -319, -495, -669, -841?\n\"Answer: p**2 - 181*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - 61852b6?\nAnswer: -61852a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14211636 - 14211636 - 16*v**2.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8150839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 3968*b\/3 + 2648.\nAnswer: -2*(b - 1986)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112, -181, -200, -145, 8, 283, 704, 1295?\n\"Answer: 4*r**3 + r**2 - 100*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 261 - 225 = 0. Solve 21 = j*t - 3*u, -t + 2*u = -2 - 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2320505 + 177?\nAnswer: -2320306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245*f**3*p**4 + 2016*f**3*p + f**2*p**2 - 22*f*p**4 + 38*f*p**2 - p**4 wrt p.\nAnswer: -5880*f**3*p - 528*f*p - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Suppose 3*d - 4 = -2*h - d, 3*d = h + y. Solve 4*i + 7 - 23 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - (-20)\/40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:31 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480) - (sqrt(480) + sqrt(480)*3 + sqrt(480)) - sqrt(480))\/sqrt(8))\/sqrt(10)*3)\/((1*sqrt(27))\/sqrt(9) + sqrt(147) + 4*sqrt(147)).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 1.1. Let u = -12.9 - -12. Let j = r - u. What is the closest to 0.1 in 3, j, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (3 - 23))\/((-81)\/18*1)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420482?\nAnswer: 2, 210241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -23*u**3 - 1. Let z(x) = -x**2 - 6*x + 3. What is the least common multiple of k(-1) and z(-3)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = -3*y. Let l = -1 - y. Solve -l*f - 4 - 4 = 3*k, -2*k - 12 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*x - 4. Let q(v) = -v**3 - 4*v**2 - 5*v - 4. Let y be q(-3). Find the second derivative of 3*w**2 + x*w - y*w - w**2 wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (28 + -2 + -29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**4\/4 - 7*b**3\/3 + 5*b**2\/2 + 3*b - 135. Suppose -3*f + 7*f - 24 = 0. Give i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d - 163*d = 15*d + 3760 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2, 6 in decreasing order.\nAnswer: 6, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 15*v - 23. Let n be k(17). Suppose n*a + a - 72 = 0. Suppose 2*c + 324 = 4*u + a*c, 327 = 4*u + 3*c. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12883 and 38415.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.318254 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 6 - 4. Let d(r) = -r**3 - 4*r**2 - 2*r - 3. Let b be d(f). Let p = b - 97\/3. Calculate the common denominator of p and -39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 16*d - 37120 = -193. Solve 4*n - 1095 = -d for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (708 - 355 - 346 + 61*i)*(1 - 2 - 1).\nAnswer: -122*i - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*z - 9. Let f = -9 - z. Suppose -k = -5*c + 3 - 28, 2*k = -5*c - 10. Solve -k*a + f*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4997 and -877.\nAnswer: -4382369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.127 and 1330885.5.\nAnswer: 1330885.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.558 - -4.558. What is the nearest to 0.2 in m, -1, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1225, 2451, 3677, 4903, 6129?\n\"Answer: 1226*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiw when three letters picked without replacement from ztwzuttzutzziuzizuwz.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 - 602*r**2\/5 - 44998*r\/5 + 45602\/5.\nAnswer: -2*(r - 1)*(r + 151)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 781, -5, -65\/102 in increasing order.\nAnswer: -5, -65\/102, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 6*(-3*sqrt(187) - sqrt(187)))\/(3*(sqrt(33)\/sqrt(3) + sqrt(11))).\nAnswer: 25*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5889550 and 750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 15858.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19470, -38939, -58400, -77853?\n\"Answer: 4*m**2 - 19481*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -33, 7, -2 in descending order.\nAnswer: 7, 3, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Let t(p) = -55*p + 127*p - 4 - 4 - 66*p + 2. Let i(z) be the first derivative of -z**2 + 2*z + 1. Calculate c*t(h) + 8*i(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 21*f + 5. Suppose 0 = 4*u - 4*g - 52, -3*u = -2*g - 27 - 9. Let r be x(u). Find the first derivative of -202*l + 13 - r*l**2 + 202*l wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2 - 75*z + 24. Let g be r(19). Calculate the greatest common divisor of 301 and g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 18*z**5\/7 - 14*z**4 - 250*z**3\/7 + 258*z**2\/7 + 112*z + 56 = 0.\nAnswer: -14\/9, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-594)*-60)\/(2\/15).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r + 5. Let u(t) = 3*t - 4. Suppose 0 = -14*j + 12*j - 8. Let i(h) = j*d(h) - 5*u(h). Let l(q) = -5*q. Give i(l(s)).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = 0, -4*h + 0*b + 19 = 3*b. Suppose 11*t - h*t - 1615020 = 0. Suppose -18*s + 359445 + t = 0. What is s rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65665041*q + 167798109 wrt q?\nAnswer: 65665041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -11001?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7 (b) -2\/3 (c) -1 (d) 3 (e) 0.5 (f) -2\/13 (g) 2\/84813\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s, a - 12 = 6*a + 3*s. Suppose a = x + 2*v - 4*v + 8, -v + 3 = -x. Solve -z - x = -0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/25 of a kilometer?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(30\/6 - 4). Let p(g) = -g**3 - 9*g**2 + 8*g + 8. Let u be p(-10). Put u, -2, h in ascending order.\nAnswer: h, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655.265 millennia in centuries?\nAnswer: 36552.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 3:16 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 764688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 847 + 128 = 5*q, 0 = 3*q - g - 589. Suppose -455 - q = -b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5531476 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - o - 98*o + 99*o - 18 - 2*o**3.\nAnswer: 2*o**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:45 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 22 = 10*x - 6*x, 0 = -3*w - x - 53. Let v be (w\/(-24))\/((-1)\/(-180)). Calculate the common denominator of -89\/24 and 4\/(640\/v) + -1.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*h**3*j - 103493*a**3*h*j - 5*a**3*h + 239418*a**2*h**3*j + 14*a*j wrt a?\nAnswer: -18*h**3*j - 620958*h*j - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513592845?\nAnswer: 3, 5, 34239523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/((-1)\/18). Let o(n) = -50*n + 1097. Let r be o(22). Put x, 4, r in descending order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (15 - (5 - -12)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n + 9. Let g = 78 - 69. Let u(y) = y + 1. What is g*u(t) - x(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -7. Let m = -12 + k. Let z be m\/(-10) + 38\/80. Are z and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((2\/(-18))\/((-10)\/(-600)*-5))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2685 - -5732. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 15 = i. Is 14\/i*9\/(-1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 131*y**2 - 1. Suppose 0 = 4*c + 4*u - 24, -c - 4*u + 16 = -u. Let h be v(c). Suppose 0*k = -2*k + h. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*-3*sqrt(19) + 5 + sqrt(38)\/sqrt(2))**2 - (4 + (sqrt(171) + 0 + 1*sqrt(171))*4)**2.\nAnswer: -9740 - 224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(168\/76))\/((-10)\/16*6\/15).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:54 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 5 + 37 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1904 and 1802.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*-1*(sqrt(266)\/sqrt(28))\/(-4*(sqrt(2) + 2*sqrt(2)) + sqrt(2)))**2*-6.\nAnswer: -93\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**8\/30240 + c**7\/3780 + 7*c**5\/60 - 10*c**2. Let a(b) be the third derivative of k(b). Let a(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2276 or 2406?\nAnswer: 2276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2*v + 5*v - 5*v) + (44 - 14 - 11)*(0*v + 0*v - v) + (0 + 3 - 1)*(4*v - v + 0*v) + (0 - 2 + 0)*(5 - v - 5) + 2*v - 1 + 1.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 2*y**2 + 3*y**2 - 4*y**2. Let v(g) = -112*g**2. Give v(o(f)).\nAnswer: -112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1929*i = -924*i - 797*i - 3120 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*x - 28*x + 112 - 530 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfewvfeeffgvwvvv. What is prob of sequence fgw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 2*p**2 + p**3 + (-88*p - 3777 + 3777)*(-3*p**2 + 0*p**2 + p**2).\nAnswer: 177*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*2*(5 - 7). Put -2, l, -10 in descending order.\nAnswer: l, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0. Let p = -0.28479 - -0.58479. Which is the nearest to -0.1? (a) p (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60496*h**5 - 7875*h**2*j**2 - 13336912*h*j - 41*j**2 wrt h?\nAnswer: 1209920*h**3 - 15750*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/3780 - o**6\/1620 + o**5\/90 + 5*o**3\/6 - 18*o**2. Let q(b) be the first derivative of g(b). Factor q(u).\nAnswer: -2*u*(u - 2)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 9*c**2 + 10*c - 1. Suppose -2*w + 6 = 0, -3*y + 5*w = -80 - 25. Let r = -31 + y. List the prime factors of b(r).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139934718 and 43197.\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 3*l + 5. Let n(p) = 59*p - 357. Let b be n(6). Calculate c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtjoctwrtwttttttwtrt. Give prob of picking 2 t, 1 c, and 1 w.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - -36. Let j = -38 + p. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (120\/140)\/((-16)\/28). Put -5, a, 117 in descending order.\nAnswer: 117, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00573 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658871 is divided by 4221.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 40 = 4*w - 24, -37 = -3*w - 2*u. Let s(l) = 5*l. Let p(r) = 36*r. Calculate w*s(o) - 2*p(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353167 is divided by 4885.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-5)*(-4)\/(-56)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h - 13419 - 3603 = -1062. What is the lowest common multiple of 1540 and h?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 6892 + 6324. What is the units digit of (-1)\/(4 + g\/(-412))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2810311 - 490*u**3 + 118*u**3 + 2810310.\nAnswer: -372*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -7, -27, -49, -73?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*p**2 - 3*p**4 - 3*p - 5*p - 3*p + 2*p**3 - 20*p**2 as q + g*p**3 + m*p**2 + b*p**4 + d*p and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 86\/(-40)*6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**4 - 280*j**3 + 1792*j**2 - 1704*j - 3780 = 0?\nAnswer: -1, 3, 5, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000078883 to seven dps.\nAnswer: -0.0000789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*y**3 + 10925041*y**2 - 2*y + 36248143.\nAnswer: 6*y**2 + 21850082*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.73132 grams to tonnes.\nAnswer: 0.00008473132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1540)\/105)\/((-6)\/9)*-2*7\/(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.5. Let q(o) = -1. Let p(h) = -3*h - 32. Let v(a) = -p(a) - 2*q(a). Let m be v(-10). What is the third smallest value in m, l, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19027882.5 plus -130355?\nAnswer: -19158237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 15. Suppose -2*o - 4*x + 4 = 0, -4*o = 3*x - 4 - 19. Let f(h) = 4 - 5 - 10*h + 11*h + o. Let k be f(-7). Give w(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4003532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 41790.\nAnswer: 417900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 9. Let z(d) = 6*d**2 - 48. Let a(c) = -16*h(c) + 3*z(c). Let u(r) = 2*r + 2025. What is u(a(v))?\nAnswer: 4*v**2 + 2025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26329*c + 5804 = 26047*c - 1810 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -562460, -133, 2\/7?\nAnswer: -562460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28151 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 27288 = -49*f. What are the prime factors of f?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akakkkkakakaa. What is prob of picking 1 k and 2 a?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/9, -1\/4, -7\/6, -5 in ascending order.\nAnswer: -5, -7\/6, -1\/4, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:49 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8803, 8805, 8809, 8815?\nAnswer: 8823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(28)\/sqrt(2))\/sqrt(7) + (sqrt(8)\/sqrt(4))**2 + -4) + (-4 + sqrt(128)*-2)**2*-5.\nAnswer: -2650 - 635*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*i**3 - 5*i**3 + 13*i**3 + (1 + 2*i**2 - 1)*(2*i - 1 + 1) + 2*i**3 + 3*i**3 - 3*i**3.\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-63)\/45 + 8. Let d be (13 + -15)*i\/(-1). Let z be -6 + 0 - (-2 - -1). Sort z, 1, d, -3.\nAnswer: z, -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - -9. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1231 + 167 - 270*s**2 + 2*s**4 + 511 with respect to s.\nAnswer: 8*s**3 - 540*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**10\/151200 - w**6\/360 + w**5\/20 - 2*w**2. Let j(z) be the third derivative of o(z). What is the derivative of j(q) wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/3360 and -173\/42.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 - 13*n**3 - 3*n + 7*n**3 + 11*n**2 - 9*n**3 + 4*n**2 to the form k*n**2 + j*n**3 + y*n + s and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 229317 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, -4, 5, -25, -6, 19 in ascending order.\nAnswer: -25, -16, -6, -4, -3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 16. Let p(u) = 3. Suppose 4*r - 4 = 0, -26 - 30 = -l - r. Suppose -2*m = 3*m + l. What is m*p(c) - 2*q(c)?\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.92 - -34.97. Let w be 1 - (-2 - -5) - -6. Put p, w, 5 in descending order.\nAnswer: 5, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-17 - -18 - -17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) 88 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 0*l + 2*l**4 - 6 + 0*l**3 + 5\/2*l**2. What is the second derivative of s(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 3 + sqrt(44)\/sqrt(4) - sqrt(22)\/(sqrt(162) + sqrt(2)))**2.\nAnswer: 252*sqrt(11)\/5 + 5791\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11 + -12 + 7 + (-234)\/192*5 and 7\/2272?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2953938 and -0.3.\nAnswer: -0.08861814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 330 + 2*j - 337 - 2*j**3 + 3*j**3 - 5*j**2. Let n be g(5). Is 11\/3 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -18 + 5 - -10 - -2 - -51?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 916*b - 2237 - 150*b + 2237 to u + j*b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.077887981 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24867693.65 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(1\/13) assuming d is positive.\nAnswer: d**(-1\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04529435 rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -251154 (base 6) to base 9\nAnswer: -33547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*b - 6507 = p, 5*p = -3*b + 32425. Let w = p - 64727\/10. Calculate the common denominator of w and 7\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 - 202*h + 6513. What is t(21)?\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 309\/7 - 44. Let r = 66678 - 66673. Which is the nearest to r? (a) -0.2 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 0, 4*m + 4*g - 8 = 4. Solve -8 = m*k - 7*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -76*x**2 + 21*x + 5. Let d be f(15). Let t = 301891\/18 + d. Calculate the common denominator of t and -87\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26611332 divided by 29634.\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 + 24*p**3 + 13*p**3 + 4*p**3 + 0*p**3.\nAnswer: 48*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77439 and 249?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4367 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*z + 1 + 21, -5*z = -2*b + 29. Solve 115*k**2 - 25*k**4 - 80*k**5 + 60*k**5 + 55*k**3 + b - 2 + 65*k = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - -2.93. Let q = 1 - 0.8. Let w = q + -3.2. Which is the closest to 1? (a) w (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - j + (j - j - 2*j)*(-26 - 131 + 61) to the form a + n*j and give n.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 210. Let i be (50\/6)\/((-2)\/c). Let v = i + -166. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 8. Suppose -2*y = 5*f - 124, o*y + 88 = 4*f - y. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*p - 10 = 0, -3*p - 10 = -v + 2*p. Let s(j) = -j**2 + 10 - v. Let c(o) = -50*o + 50*o - 2*o**2. Give s(c(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/63 and 41\/91?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-4) + 43194\/(-17528)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, h: 1, c: 2, g: 6, l: 1}. What is prob of picking 2 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/(-16) - 14\/112)\/(4\/16). Put 26, 2, b, 1, -3 in descending order.\nAnswer: 26, b, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.1. Let g = -11.5 + 11. What is the biggest value in g, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2071*r + 11 + 2070*r + 109.\nAnswer: -r + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h. Let z(p) = -p. Give 6*f(s) - 30*z(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -17*c**2 + 9*c - 111. Let a(f) = 8*f**2 - 4*f + 55. Let r(y) = 7*a(y) + 3*t(y). What is the units digit of r(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(-14\/5)\/(x**(2\/11)*x**(-9\/2)) assuming x is positive.\nAnswer: x**(387\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*l + 79*l - 8*l + (2 - 4 + 4)*(-4*l + 6*l - 7*l).\nAnswer: 94*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -12*m**3 - 6*m + 6. Let u be g(3). What is the common denominator of 6\/12 + (-376)\/u and -49\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 174 - 0?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -299 and 0.4.\nAnswer: -119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -18. Suppose k*d = 3*v + 1885, -3*d + 1413 = -3*v + v. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1614400\/3 or 538132?\nAnswer: 1614400\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/33011082 and 49\/5078628.\nAnswer: 66022164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlzqx. Give prob of picking 1 l, 1 q, and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-45))\/((-10)\/15). Let c = 846 - 842. Put c, j, -2\/3 in decreasing order.\nAnswer: c, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 20 = 199*a - 197*a, -3*q + 12 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -22*s**2 + 2*s - 3. Let t be k(-3). Let l = -5083\/1240 + -4\/155. Find the common denominator of t\/(-84)*2\/(-3) and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*1*sqrt(171) - sqrt(171)*-2*2))\/((sqrt(324) - (sqrt(324) - (sqrt(324) - sqrt(324)*-1)*-6))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -616, -1261, -2012, -2869, -3832, -4901?\n\"Answer: -53*g**2 - 486*g - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22, -8, 40, 140, 310, 568, 932, 1420?\n\"Answer: 3*c**3 - c**2 - 4*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3960)\/(-2970) - (-124)\/(-8)*8\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + 15 - (2 - 1). Suppose -r*j + 4*o = -2*j - 466, 3*j = -5*o + 754. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or 0.063786?\nAnswer: 0.063786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 1101000000111011?\nAnswer: 1101000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 7:45 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4 + 2. Put 0, s, 4 in descending order.\nAnswer: 4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (965538\/(-189))\/((-8)\/12).\nAnswer: 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y**3 - 1259*y**2 - 5*y**3 - 520*y**2 as c + r*y + t*y**2 + w*y**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -49*c**3 - 10*c**2 + 19*c - 31. Let h(l) = 57*l**3 + 13*l**2 - 20*l + 31. Let n(r) = 7*b(r) + 6*h(r). Give n(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.6. Let z = 27088 + -27088.1. What is the nearest to z in 0.4, 2, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*g**2*h*z**3 - 2*g**2*h*z**2 - g**2*h - 12*g**2*z**3 - 13*g**2 - 2*g*h*z**3 - 41*g*z + 16*g wrt z?\nAnswer: -696*g**2*h - 72*g**2 - 12*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 + 24494386*x**2\/3 + 74996880436816*x\/3 + 74996855942432\/3.\nAnswer: 2*(x + 1)*(x + 6123596)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22+-97.3220195\nAnswer: -75.3220195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-494)\/30 - -17) + (-1)\/5 + 0. Which is bigger: r or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1767\/15 - 4\/(-20). Suppose -2*y + 265 = 5*d, 3*y + y = d - 31. Let m = h - d. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11994 - 11988. Let o(h) = -5*h + 3. Let t(l) = -11*l + 6. Give k*t(m) - 13*o(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmm. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*i + 171, -w = i - 2*i - 180. Suppose 370*j = 442*j + 8280. Let c = j + w. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 9*i - 4*i - 3*j, -2*i = -4*j - 26. Suppose -x = i, 5*t + 2*x - x - 15 = 0. Solve 11*p - t = 9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*45\/9. Let q be (3\/(-12)*0)\/u. Solve 4*t - 4*g = q, 2*t - 2 = 5*g + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 13 - 7*w - 17 - w - 13 to the form j + z*w and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1613.61 - 1622.4099975. Let h = b + 8.8. What is h rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from qppqqdqqqqdpddpqqqq?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3\/2 - 1308*y**2 - 271081*y\/2 - 1957059 = 0. Calculate y.\nAnswer: -389, -117, -86\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 857*o**6 - 4*o**2 - 106*o wrt o.\nAnswer: 102840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 + 4.5. Let j = o + 1.2. Let z = j - -0.5. What is the closest to 0 in 0.3, z, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2 + (-14)\/(-6) + (-7)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - -1 - (-1 + 3). Suppose 0 = -40*x + 18 + 182. Solve 5*i - i + 7 = -3*d, x*d = -q*i - 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -24. Suppose m - 6*m = 4*l - 44, m = -l + 9. Let w(b) = -2*b - 5. Let i(v) = -v - 3. What is a*w(z) + m*i(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121.03 - -122. Let l = b + 0.03. Which is smaller: l or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41121 is divided by 891?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -222*t**2 - 507*t + 1024. Give k(2).\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 1, 4 in descending order.\nAnswer: 6, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33 - 2636*d**3 - 32 - 94*d + 710*d**3 - 18*d wrt d?\nAnswer: -11556*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/((-1 - (-2)\/4)*-2). Suppose o = k + 3*s + 1, 2*k + 5*s - 14 = 3*s. Suppose -4*h - 3*c + 132 = -k, 0 = c - 1. Does h = 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76702 + 76702.01. Let j = 371 + -2593\/7. What is the nearest to -1 in 0.3, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2, -6 in decreasing order.\nAnswer: 2, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (2 + (-1092)\/369))\/((-240)\/288)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -44470.\nAnswer: 13341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6930 + 6928 - (-7 - -4 - (87 - -1))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*w - 0. Let x(q) = -5*q - q**3 - w*q**2 - 3 - 5*q + 4*q. Calculate x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -50, -100, -170?\n\"Answer: -10*o**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21553.06 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 + 5*x + 4. Give d(-5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596986 + 648562 = 34*s + 97*s. List the prime factors of s.\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 5*q**2 - 5*q + 7. Let u be y(4). Suppose 7*m - u*m = -2*b + 25190, 4*m = -b + 25187. Suppose 7*z = -z + m. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, a: 2, s: 7, b: 3, i: 3}. What is prob of picking 1 e and 2 i?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11873?\nAnswer: 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1\/71 (c) -0.1 (d) -6 (e) 225.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 3. Let k(c) = -5*c - 5. Let b be (15\/(-9) + 2)*-15. Let w(h) = b*s(h) + 3*k(h). Let o(a) = -4*a**2. Calculate o(w(u)).\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1622 + 1?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csyywskkkwszkkkyk. Give prob of sequence kkc.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 1, r: 2, p: 1, d: 2}. What is prob of sequence dp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:52 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 26, 17, 8, -1?\n\"Answer: -9*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1242 = q, n = 57*q - 58*q + 318. What is the remainder when n is divided by 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -535 + 368 + 167 - 18*r**2 - 353*r in the form k*r + l*r**2 + h and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**12*b\/(b\/(b*b\/b**(2\/51)))*b**(-4)*b\/(b\/b**(-3))*b*b assuming b is positive.\nAnswer: b**(457\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -699*j**3 + 6996*j**2\/5 - 12*j\/5.\nAnswer: -3*j*(j - 2)*(1165*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 7*q - 8. Let z(h) = 2*h - 4. Let f be z(3). Suppose -f*w + q = -4. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -44.988. Let l = -0.088 - j. Which is the closest to l? (a) 3\/7 (b) -0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thhh when four letters picked without replacement from {h: 10, y: 2, t: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47450 and 25623.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -122?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/6 + 2\/6. Let a(d) be the second derivative of -f*d**2 - d + 1\/20*d**5 + 0 + 0*d**4 - 1\/3*d**3. Calculate a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c43 (base 15) in base 7?\nAnswer: 11025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = y + 9. Let j = 7 - y. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1.35 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 930 - 931. Let q = 8.31 - 0.31. Which is the second biggest value? (a) 1\/7 (b) i (c) 4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546165823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u - u - 10790. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171395.\nAnswer: 3, 5, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 32. Suppose -o = x + o + 8, -i*x - o - 40 = 0. Let r be (-2 + 771\/(-2))*x. Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, k: 2, t: 1, p: 1, z: 5}. Give prob of sequence pkxk.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let o = s - -0.2. Let d = -0.06 + 2.06. Put 0, o, d in increasing order.\nAnswer: 0, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 530, 522, 514, 506?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.59 and 2?\nAnswer: 10.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41344111, 41344110, 41344109?\nAnswer: 41344108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 481.9 - 480.9. Which is the nearest to 0.2? (a) 0.1 (b) p (c) -126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 302*r. Let y(w) = 246*w**2 - 33*w - 33. Let b(v) = -15*v**2 + 2*v + 2. Let j(l) = -33*b(l) - 2*y(l). Determine n(j(u)).\nAnswer: 906*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6932*a**2*l**2 + 8*a**2*l + a**2 - 2355*a*l**2 + 292*a*l wrt a.\nAnswer: 13864*l**2 + 16*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012378.\nAnswer: 2, 211, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809902317.\nAnswer: 3, 7, 2753, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*n - 20. Suppose 0 = -n*g - 0*g. Suppose -2*w + 3 + 3 = g. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -112053?\nAnswer: 112053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(17*q - 2*q - 3*q) + (7 - 2*q - 7)*(0 + 3 + 0).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -87100.\nAnswer: -87099.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 18*d - 126 + 5*d - 10*d + 450 - 121 - 122.\nAnswer: -23*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-1 - -7) + -1. Let o = a + -4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13*s**2 + 12*s + 64. What are the prime factors of t(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a99316 (base 13) to base 8.\nAnswer: -17161406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1045225 (base 6) to base 11\nAnswer: -36910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1069684 to three decimal places.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4016838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 - 7*b**2 + 7*b - 5. Let n(s) = s**3 + s**2 - s. Let v(i) = -2*n(i) - p(i). Let w(o) = -3*o**3 - 4*o**2 + 4*o - 4. Calculate -4*v(g) - 5*w(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a32b8 + 42?\nAnswer: 1a331a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1512)\/51)\/(-3) + 12\/102. What is the tens digit of (-4)\/8 + i\/(-4)*-51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -4, -295?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1643, -1651, -1673, -1715, -1783, -1883, -2021, -2203?\nAnswer: -2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.25 + 38. Let h = 0.25 + k. Let x = h + -9. Which is the smallest value? (a) 2 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from yinvnrmnmvrvvn.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 552205 (base 6) to base 16\nAnswer: b32d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 - 1650726?\nAnswer: -1650620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-6)*(-120)\/(-140).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760 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: List the prime factors of 5669726.\nAnswer: 2, 41, 69143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4257)\/172)\/33 + 597\/(-2)*(-1)\/6.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 240, 758, 1628, 2856, 4448, 6410, 8748, 11468?\n\"Answer: q**3 + 170*q**2 + q + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14225413 and 306.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 3a1?\nAnswer: 3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -200427 - -200427.089013. Let d = 10.089573 - b. Let q = d + -10. What is q rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 0.226606617274.\nAnswer: -0.176606617274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/(u\/u**(-6)))\/(u**(2\/9))**(-5\/2) assuming u is positive.\nAnswer: u**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 307306592 - 5?\nAnswer: 307306587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + s + 0 + 12 = 0, -5*n + 15 = -4*s. Let h(f) = -150*f + 2. Let r be h(-10). Suppose r = n*m - m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**2\/5 - 86452*v\/5 - 777744\/5 = 0. Calculate v.\nAnswer: -21604, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 6, w: 2, t: 2}. What is prob of picking 1 t and 2 w?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 0. Suppose 3*y + 7*i - 141 = 2*i, k = -y - 3*i + 51. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4147722.\nAnswer: 2, 3, 131, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/1)\/(1\/(-15)*648\/144)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6676884.\nAnswer: 2, 3, 211, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71831, 71832, 71833, 71834, 71835?\nAnswer: 71836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - g + 0*g)*(-3 - 1 + 5)*(181 + 177 - 398)*(g - 3*g + g) to the form c*g**2 + n + d*g and give c.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4807?\nAnswer: 11, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -932824*o**3 - 18*o - 50934 wrt o?\nAnswer: -5596944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 5. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, f: 3, v: 3}. What is prob of sequence zffz?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 2. Let q(j) be the third derivative of j**6\/120 + 7*j**5\/60 + 7*j**3\/6 - 3*j**2. What is -7*c(p) + 2*q(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)\/(1*sqrt(10)) - sqrt(19) - (-5 + sqrt(19)*-1)) + -4 + (1*sqrt(209))\/sqrt(11))**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 + 238 = 19*h. What is the smallest common multiple of 44 and h?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 bigger than 2194583\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -14*p**2. Let z(k) = 836*k**2 + 4 + 2*k - 4 + 823*k**2 - 1643*k**2. Calculate z(y(b)).\nAnswer: 3136*b**4 - 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7457385768 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105459966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1679956370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21202 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0.5 (c) 0.4 (d) -17 (e) 0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521093 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2 - 6*p**2 + 5*p**2 + 8*p**2 + p + 0*p. What is q(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6171748 from -84.\nAnswer: -6171832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35244103 and 1282.\nAnswer: 70488206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/(-6))\/(((-10)\/(-148))\/5). What is the highest common factor of y and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 3\/4 - (-13)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.2 - 24.09. Let s = 2.39 + m. Let r = 0.3 + -0.4. Which is the biggest value? (a) s (b) r (c) 4\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + c + 1. Calculate r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 2fb57?\nAnswer: -2fb5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2939333757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -124\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 853051 and 8579?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 8*v + 11. What is the lowest common multiple of 2 and b(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:59 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(950))\/sqrt(2).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-5))*(g**6*g*g*g)\/g*g\/(g\/(g\/g**3))*g*g*g\/g**(-2\/3))\/((g*((g*(g**3\/g)\/g)\/g)\/g)**(-23))**(-33) assuming g is positive.\nAnswer: g**(-2233\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 535057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 4*m + 5*m - m. Let w(x) = 1. Let b(f) = f**2 + 5. Let r(v) = -b(v) + 5*w(v). Calculate c(r(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l - 1. Let b(o) = 5*o. Let x(s) = 5*b(s) - 2*r(s). Let n be (-2)\/((6\/9)\/1). Give x(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, n: 1, g: 6, m: 2}. What is prob of sequence gsmg?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)\/(sqrt(4)*4 + sqrt(4))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 840 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 224, 320, 400, 458, 488, 484?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 266665, -1, 5, 3 in ascending order.\nAnswer: -1, 3, 5, 266665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 29436*w + 382330.\nAnswer: 2*(w + 13)*(w + 14705)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9955*n**2 - 26 + 2*n**4 - 3*n**3 + 9954*n**2 - 71 to x*n**3 + k + q*n**4 + a*n**2 + c*n and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1471 (b) 26 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -340*m**2 - 2008*m + 1. What is c(-6)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*-1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/600)\/(46\/10)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 13*q - 12. Solve -q = -p - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20584913 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 798 by 6.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61639430 a multiple of 655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) 2.37 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 6, j: 13}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4671274*f**2 - 1295*f + 62 wrt f.\nAnswer: 9342548","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 23*s + 18 as o + i*s and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/196 + 61\/49. Let z be (-6)\/4*(-4)\/3. Suppose 0 = z*h + 16 + 6. Calculate the common denominator of i and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5838 or 5837?\nAnswer: 5837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t. Suppose -3*q = 2*q - 20. Let f(o) = q*o**2 - o**2 - 4*o**2. Calculate f(j(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 12\/5, -2344, -5, 7?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnygz. Give prob of sequence nzg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.947 to one decimal place.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4987 - 153. What are the prime factors of y?\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:58 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.012, 4, 1\/4, 1.1 in increasing order.\nAnswer: 0.012, 1\/4, 1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/30 - -7\/6. Let o(p) be the first derivative of 0*p - p**2 - 3\/2*p**4 - k*p**5 - 4 - 2*p**3. Solve o(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690594 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -26*o + 908. Is r(7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 u, and 1 r when three letters picked without replacement from {j: 1, p: 2, l: 2, r: 1, z: 3, u: 3}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141 - 6*g + 140 + 3*g - 2*g to w + y*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -h + 1, 4699*w - 20 = 4701*w + 4*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/76, -5\/3, -0.4, -6\/7 in decreasing order.\nAnswer: -3\/76, -0.4, -6\/7, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/11 - 78*m**4\/11 + 1268*m**3\/11 + 132*m**2 - 41202*m\/11 - 41310\/11 = 0. Calculate m.\nAnswer: -51, -5, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1111 * -0.068.\nAnswer: -75.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 495924 and 495921 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 - v**2 + 2*v**3 - 7*v**4 + 8*v**4 - 3*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -60, -145, -268, -429?\n\"Answer: -19*n**2 + 10*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -2*u, -5*b - 2*u - 1070 = 0. Let h = 322 + b. Suppose 3*o - 22 = -z, -4*z - z + 4*o = -h. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/10*(0 + 15). Suppose -v = -3*x + 3*z, 3*x + 5*z = 5*x. What is the least common multiple of x and 306\/15 - 2\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 4 (b) -2\/21 (c) 243\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z + 60. Let x be p(14). Is x at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-33)\/(-1188))\/((-6)\/(-4)))\/((-9)\/36).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92454 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oololoolol. What is prob of sequence lllo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -17\/4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 24999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 35*w + 148. Let u(a) = -12*a - 50. Let y(t) = -3*k(t) - 8*u(t). Let j be y(-20). What is the greatest common divisor of j and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 - (-3 - 0 - -4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-11 - (4 - 11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 20*j - 19*j, -3*k + 8 = j. Let m(p) = p - 2. Give m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119)*-2)\/((sqrt(7) + sqrt(63))*6).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -841 - -867. Calculate the remainder when 228 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-16))\/((-6)\/16). Let q = 8 + k. Suppose -q*d - 4*s + 26 - 10 = 0, -2*d + 7 = 3*s. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69782 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -216, -222, -228?\n\"Answer: -6*f - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4496.37 minutes in microseconds?\nAnswer: 269782200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:39 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {p: 1, l: 1, g: 11, s: 1, f: 1}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 18*n - 10. Let y be q(6). Let a = -57 + y. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + (sqrt(128) + 0)*-4 + (sqrt(128) - (-2 + sqrt(128))*-6))**2.\nAnswer: -960*sqrt(2) + 1552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*y = -4251, 95*y = 91*y + 12. What is the greatest common divisor of 406 and j?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -109834, -219670, -329506, -439342, -549178?\nAnswer: -659014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -234*p + 17*p + 5642 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/4, 71\/51, 0, -6?\nAnswer: 71\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let y be 1\/k + (-8)\/24. Find the first derivative of 12*v + y - 5*v + 5 - 2 wrt v.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -371 + 531. Suppose 0 = b + 4*b + 560. Let q = t + b. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(13))*-1)**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 + 19*l - 53. Determine z(17).\nAnswer: -886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -173a48 (base 12) to base 11\nAnswer: -254030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48082, -48094, -48106, -48112, -48106, -48082?\nAnswer: -48034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + 47*i**2 - 72*i + 25. Determine v(-17).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18583*a - 6 = -18581*a + 4*v, 5*v = 2*a - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4376706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**4 + 6 + 14688*b**3 - 14688*b**3)*(14*b + 35*b + 75*b + 14*b).\nAnswer: 690*b**5 + 828*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**2 - 30*s + 45 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6732437 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.2. Suppose -3*n = -4*c + 336, 3*c - 337 = -3*n - 85. Let p be 49\/c - 3\/9. What is the closest to 1 in p, b, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3422, -6850, -10278, -13706?\n\"Answer: -3428*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 8*z**2 + 6*z + 10. Let s be n(7). Suppose -p = -s*p + 22. What is the remainder when (-2 + 2 - -1)*31 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 18. Let -a + 11 - a**2 - v - 3 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -23 - -2 - (19 - (-6 + 32)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 495 - 354865053\nAnswer: -354864558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211002 (base 3) to base 15.\nAnswer: -29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -189264 divided by 47316\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**2 - f. Determine c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-2*j**4 + 3*j**4 + 3*j**4) + 0*j**3 + 0*j**3 - 2*j**4.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1159718?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*s - 9. Suppose -s*r + 72 = -148. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 81*c**2 - 4*c. Suppose -2*h = h + 21. Let s be y(h). Let j be -2350*(s - (1 + -4)). Round j to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2831*c**2 + 1420*c**2 + 1410*c**2 + 909 + 929*c wrt c?\nAnswer: -2*c + 929","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/11))**2*(w**29)**(1\/18) assuming w is positive.\nAnswer: w**(679\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1. Let q(p) = p - 4. Let t(c) = -c + 17. Let g(k) = 5*q(k) + t(k). Determine -g(x) + h(x).\nAnswer: -3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000721299872 rounded to seven decimal places?\nAnswer: 0.0000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:31 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39541060 is divided by 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(68)*-2*-4 - sqrt(68)) + 4)**2 + 3).\nAnswer: -20106 - 672*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzuzzzzzzu. What is prob of sequence zzzu?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (-136)\/(-16) + (-1)\/(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 5*t - 50, -410*g = -t + 2096 - 1268 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 41 (b) 19 (c) -1 (d) -0.1 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + 2 + 4 + -8 + 5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*(-202)\/303*(-6)\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -153, -228, -215, -114, 75?\n\"Answer: 44*m**2 - 207*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1125.3 + -1231. Let k = -106 - n. Put k, -5, 2\/7, -1\/2 in decreasing order.\nAnswer: 2\/7, k, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.513, -1\/3, 5, -4\/3 in descending order.\nAnswer: 5, 1.513, -1\/3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 123 - 4*s + 48 - 47*s + 55*s - 5*s in the form l*s**2 + b + v*s and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 9*c**2 + 8*c - 14. Let y be (8\/6)\/(10\/(-75)). Calculate the remainder when 16 is divided by g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:01 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110121211211 - -10?\nAnswer: 110121211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 0 (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 13 - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 9*z. Solve -n - 4*u - 3 = z, 4*u = -2*n - 2*n + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21*i - 57. Let c(b) = -14*b - 38. Let w(o) = -8*c(o) + 5*q(o). Is 9 a factor of w(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275*z - 275*z - 10*z**3)*((-1 + 2 + 0)*(4 - 2 - 4) + (3 + 1 - 1)*(-1 + 0 + 2)).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-2\/61)*(i*i**(-2\/9))**(-35) assuming i is positive.\nAnswer: i**(-14909\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*j - 8. Suppose 2*m - 2*o = 32, 4*o + 11 = 2*m - 11. What is the remainder when j is divided by (1 - -3)*m\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363613940 is divided by 11551?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -22*f. Let w(o) be the first derivative of o**5\/60 - 17*o**3\/3 - 4. Let l(u) be the third derivative of w(u). What is l(p(m))?\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*r**3 - r**2 + 4 - 2 + 7*r**3 - r**4 in the form h*r**2 + u + m*r + d*r**3 + n*r**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*u**4 + 1 - 122*u + 123*u + 1 - 3 + 3 + 2*u**4 + (5*u**2 - 5*u**2 + u**3)*(-3*u + 2*u + 2*u) + 2*u**4 - u**4 - 3*u**4.\nAnswer: 16*u**4 + u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 303164161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 619349823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + f7b?\nAnswer: f79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 5, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*n - 24, 0*n - 4*s = -4*n + 16. Solve -n = 5*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -24. Let x be d\/4 - (-9)\/(-324). Which is the nearest to -1\/4? (a) x (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8578, 0, -1, 19, 2, -25, 3 in ascending order.\nAnswer: -25, -1, 0, 2, 3, 19, 8578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -20, -28\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 381*r - 190*r - 191*r - 350*r**2 to the form p + j*r**2 + b*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = -10. Let t be (6\/(-9))\/(k\/42). Solve 3*y + t = 4*y + 5*f, -f - 18 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 15 = -7*j. Suppose -a - 4 = -j. Solve 11 = -4*s - a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-4)\/(-60). Let p = 50 + -52. What is the smallest value in j, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397 - 363. Calculate the remainder when 118 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k - 17. Let z(b) = -b**2 + 10*b - 4. Let m be z(k). Suppose -6 = m*v + 34. Put v, 1, 4 in decreasing order.\nAnswer: 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 22 - -39) + -17?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -4\/33, 0.1, -0.069, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/30 - v**4\/24 + 2*v**2. Let f be t(-1). Suppose -6 = -3*r - f. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, w: 1, a: 1, x: 5, m: 4}. Give prob of sequence xa.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291.3 - 291.6. Let z(j) = j - 8. Let t be z(6). Which is the third smallest value? (a) x (b) 0.2 (c) t (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bghb when four letters picked without replacement from gbbbhhhb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 2*z**4 - 3*z**3 + 0*z**4 - 2*z**2 + 3*z**3 in the form f + a*z + d*z**2 + m*z**4 + x*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84522301 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*f = 18792 - 4827, -2*f - 2 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/8*(18 + 2). What is the common denominator of 59\/14 and (469\/y)\/((-42)\/15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*u + u + 2, -r - 4 = -3*u. Suppose 1052*b - 317533 + 64597 = 52144. What is the lowest common multiple of b and r?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -621306 divided by -126\nAnswer: 4931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 + 393*g**2 + 2253*g + 229. Calculate s(-125).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2458 and 46.35671.\nAnswer: 2504.35671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000212721224 to 7 dps.\nAnswer: -0.0002127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141619 - 702729. Let v = d - -561203.0037. Let n = v - 93. What is n rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 304 - 188. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 35006?\nAnswer: 35012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 44\/3, -0.2, -3, 898, 9, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = -22*s + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p. Calculate q(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/7 + 46874*a**3\/7 + 17614978*a**2\/7 + 7489002*a = 0. Calculate a.\nAnswer: -367, -3, 0, 23807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r = 39*r - 114 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*p + 155*p - 32*p.\nAnswer: 530*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119.7432 - 120. Round u to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/8 - 2\/(-8). Suppose -4*l - 2*n + 128 = 0, 0*l = -v*l - 3*n + 68. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:10 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32607 - 32607.000168256. What is p rounded to six decimal places?\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 + 30*d - 75. What are the prime factors of a(10)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = 0, o + 3*t = 42 + 35. What is the remainder when o is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*1)\/sqrt(10))\/(sqrt(2) - ((sqrt(242) - (sqrt(242) - 1*sqrt(242))) + sqrt(2)))*-5.\nAnswer: 5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 22. Let k be f(12). Calculate the remainder when 36\/(-15) - k - (-1274)\/10 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*g*u**2 + 20*g*u + 7855845*g - 173*u**2 + 5*u wrt u?\nAnswer: -98*g*u + 20*g - 346*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 + 9*n - 13. Let m be l(9). Suppose 3*r = -5*r - m. Is r greater than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-10)*(465\/6)\/31. Sort -4, -5, -3, -49, s.\nAnswer: -49, -5, -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*o + 14, -20*y = -16*y - 4*o - 40. Let v(q) = -2*q**2 + 24*q - 5. Let h(i) = -2*i**2 + 25*i - 6. What is y*v(t) - 5*h(t)?\nAnswer: -2*t**2 + 19*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*p + 65*p + 167*p**6 + 17*p**2 - 14*p**2 - 37*p wrt p?\nAnswer: 20040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 30*u - 30*u. Let z(o) = 2*o. Give z(b(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (82 - 82 - 65*r)*(3*r**2 - 2 + 2)*(2*r - 2*r - r) as p + y*r**2 + g*r**4 + t*r + x*r**3 and give g.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 2. Let w(i) = i - 1. Let v(z) = 15*z - 28. Let p(a) = 13*a - 26. Let f(y) = 6*p(y) - 5*v(y). Let q be f(6). Calculate q*w(o) - l(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -74*b**3 + 2*b**2 - 3*b - 5. Let v be m(-2). Suppose 3*g + 2*u = -2*g + v, -4*g = 2*u - 482. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/29)*y)\/y)\/((y*(y**(-11)*y*y)\/y)\/y)*(y\/y**3)\/y**(-2\/11) assuming y is positive.\nAnswer: y**(2940\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12522.4882 rounded to 0 decimal places?\nAnswer: 12522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10260, 20514, 30768, 41022, 51276?\nAnswer: 61530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 1, p: 2}. What is prob of sequence vpp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4320261? (a) 5 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -54*n - 269. What is b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(432)\/sqrt(8)*6)\/(-3*(-1*sqrt(162) - sqrt(162)) - sqrt(162)) + 2.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3355 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-35) + 6508\/14. Suppose 5*a - b = 445. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-8)*4 - -2. Suppose d*y = y. Solve 3*x - 3 + 12 = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**4\/4 + 5*u**3\/3 + 5*u**2\/2 + 8*u + 10. Determine p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**8\/42 - n**4\/3 - 6*n**2. What is the second derivative of j(s) wrt s?\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -20, 2*m = -50*s + 49*s - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72620 and 184?\nAnswer: 3340520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3301*m + 4530*m = 7665 + 7997 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020741283 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569065 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, v: 3}. What is prob of picking 3 j?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31733334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-2)\/(-4)*4. Suppose 4*q = -v*c + 5*c + 20, -15 = -3*q - 4*c. Suppose q*l = 3 + 32. Solve 4*m + 1 + l = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -949812652 - -2\nAnswer: -949812650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1103593 times 0.284\nAnswer: -313420.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 876*a**2 - 33 + 15 + 187*a**2 to n*a + f + w*a**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t + 83808 - 83808 + 1302*t**4 + t - 2736*t**2 wrt t?\nAnswer: 31248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -0.01 (c) -2 (d) 6.54 (e) 0 (f) -9\/46 (g) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38242141*u**2 - 15850910*u wrt u?\nAnswer: -76484282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0619756 decades in years?\nAnswer: 0.619756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*h + 12 = 0, -u - 2*h = -4*h + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k**5 - 419*k**4 + 6884*k + 2?\nAnswer: -520*k**3 - 5028*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73164 divided by 18291?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116490*f*u - 694589*f wrt u.\nAnswer: 116490*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 67368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2992416 and 1749.\nAnswer: -2990667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1034856, -4139250, -9313238, -16556820, -25869996, -37252766, -50705130?\n\"Answer: -1034797*k**2 - 3*k - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, k: 2, u: 2, s: 1}. What is prob of sequence uoos?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 2\/(2 + -3). What is the second derivative of -6*l + 9*l**2 - 8*l**2 - 8*l**y wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-2)\/2)\/1. Suppose 4*z - 5*o + 1 = 0, -z - 38 = 5*o - 19. Let g be (m - 9\/(-12))\/(z\/32). Solve -g*s - 4 = 4*u, -4*u + 10 = -5*s - 3*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -274, -366, -458?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f. Let t(z) = -15070*z**2 - 2*z - 9. Calculate t(s(b)).\nAnswer: -135630*b**2 + 6*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2 and 107\/1924.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 8*g - 8. Let t be i(2). Let f = 2 + t. Suppose -w = -f*w. Solve 3*z = -w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.8 - 46. Let m = 9 - s. Let u = m - 0.8. Round u to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k = 15. What are the prime factors of 2*33*(-5)\/k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 10315, 1, -3\/7, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1012\nAnswer: -1\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195b (base 12) in base 16?\nAnswer: 5d17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002870965 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -2, 69, 475.\nAnswer: -4, -2, 12, 69, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 7*w - 2 - 12*w)*(-147*w - 85*w + 49*w - 42*w - 14*w).\nAnswer: 4541*w**2 + 478*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 2*h + 3*h**4 - 6*h + 2 to the form v*h**4 + b*h**3 + z*h + a*h**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, 0, -0.059, 17 in descending order.\nAnswer: 17, 3, 1\/2, 0, -0.059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3895 and 671.71.\nAnswer: 672.0995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -28*x - 7. Let l = -262 - -242. Is b(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -55*u + 326. Give s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -174)*(-4)\/4. Let l = w + 377. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -30. Let b(s) = -2*s**2 - 18*s - 10. Let o be b(u). Does 21 divide (-4)\/o - (-5072)\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 7 + 1)*(-17*r + 2*r**2 + 17*r) in the form d + s*r + j*r**2 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 54*t**2 + 4*t + 3. Let a be s(-1). Suppose a + 22 = -5*l. What is the remainder when 54 + 5*l\/(-25) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6\/7, 5, -33.4, 3 in decreasing order.\nAnswer: 5, 3, 6\/7, -3, -33.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -225090 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -668*y**3\/7 - 38092*y**2\/7 + 77912*y\/7 + 1888\/7 = 0.\nAnswer: -59, -4\/167, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4 + 11*m**3 - 10583*m - 3581840.\nAnswer: 8*m**3 + 33*m**2 - 10583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237365*f - 377613 wrt f.\nAnswer: -237365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.41 + 120.11. Round b to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -1\/27*l**4 - 1\/30*l**5 - 1\/135*l**6 + 0 + 2*l + 0*l**2 + 0*l**3. Factor m(w).\nAnswer: -2*w**2*(w + 1)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*g + 199 + 161. Solve -g - 21 = 11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.622 and -345644829.\nAnswer: -345644828.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*40\/2800*(-1015)\/(-21).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2112 (base 6) to base 11\nAnswer: -3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.84 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let x(d) be the second derivative of -7*d**5\/24 + 58*d**3\/3 + 8*d. Let o(s) be the second derivative of x(s). What is k(o(f))?\nAnswer: -70*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43043, -43042, -43041, -43040?\nAnswer: -43039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50909.23 minutes in milliseconds?\nAnswer: 3054553800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**3\/6 + j**2\/2 + 6*j - 4. Let o(k) = 4*k - 7. Let u = -2 + 3. Calculate u*o(t) + 6*q(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t + 3 - 2 - 2*t**2 + 4*t**2. Let k(x) = 3*x**2 - 7*x + 1. Let m(f) = -3*f + f + 3*f - 2. Let n be m(-2). Determine n*k(q) + 5*d(q).\nAnswer: -2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*s + 230, -30*c + 35*c + 542 = -4*s. Sort 3, c, 2 in decreasing order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18791\/30 - -3011\/5. Find the common denominator of i and -50\/191.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-18))\/(214\/321)*-3*6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 6) to base 7.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 3641625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*108\/12*2\/30\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.67098 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44060 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*n - 17, 5*n + 12 = -s - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 6.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-10 + -38 - -31) - -35.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4708, 4704, 4700?\nAnswer: 4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 - 4*v - 2. Let n be m(-3). Suppose 5*k = 9 + n. Sort k, 3, -3 in decreasing order.\nAnswer: 3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 133, 199, 265, 331?\n\"Answer: 66*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o - 3, 2*p = -5*o - 9. Let i(t) = -33*t**2 + 0*t**3 - 14*t**3 + 8*t**2 + 9*t**p. Let v(h) = h**2. Determine i(n) + 25*v(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.7 - 0.5.\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 351*w - 313*w. Solve -5 = w*i - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110434 (base 5) to base 2.\nAnswer: -10100000001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.6 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-13813)\/551 + 292\/29\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppyy when four letters picked without replacement from {y: 9, p: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1\/7, 24, -166?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 24. Let n(h) = -8*h + 71. What is -11*j(f) - 4*n(f)?\nAnswer: -f - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/284073 and 20\/27.\nAnswer: 2556657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -139 (base 16) to base 15\nAnswer: -15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (290\/2465)\/((-4)\/17)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 6*w**2 - 2*w - 1. Let s be v(5). Let u be (-8)\/s*49\/(-14). Suppose -7 = g - 10. Solve -g*m = -3*i, -3*i + m + 8 - u = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5573503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1602*x + 3. Let h be o(1). Suppose 7*r = 22*r - h. Let c = 271 - r. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7816 is divided by 655.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44696020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:34 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s + 2*s + 2*s + 3*s + s - 3*s + 3 - s - 3 + (0 - 2 + 1)*(2 - 2 + s) + s - s + 3*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**13*d*d*d**18\/d)**(-1\/20))**(-4\/33))**(-5\/2) assuming d is positive.\nAnswer: d**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**7\/360 + 5*y**4\/12 + 3*y. Let k(u) be the third derivative of r(u). Let z(d) = -3*d - d - d + 2*d. Calculate k(z(l)).\nAnswer: -63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -34 - 2. Let d(n) = -n + 11. Let x be d(w). Suppose x*y + 15 = -5*k + 39, 4*y = 3*k + 48. What is the highest common divisor of y and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 932930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s = 41*s - 18. Let x be 475*s\/(-15)*-4. Let n = x - -973. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - -71 - (4 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3 = 5*u, 0*u - u + r - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100210121011 (base 3) in base 6?\nAnswer: -4045004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f. Suppose -3*m + f*m - 15 = 0. What is the third biggest value in m, 5\/2, -1\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*p = 17, -2*p - 8 = -3*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*z**3 - 428*z**3 + 214*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10065788*g**5*t**3 - g**5 - 4*g**2*t**2 - 2*g**2 + 2*g*t**3 + 112*g*t**2 - 585*t wrt g.\nAnswer: -603947280*g**2*t**3 - 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**3 - 2*s + 1. Let d be o(1). Suppose -d*q + 5 + 5 = 0. Is (-3 - -9)\/(1\/q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*s - 26, 0*i + 12 = 4*s + i. Let k be 13 - (-9)\/9 - 9. Suppose 3*f - k*x = -2*f + 485, -184 = -s*f - 3*x. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113141204 - 4?\nAnswer: -113141213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2614, -9701, -21358, -37585, -58382?\nAnswer: -83749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 176.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*v + 2*v = 5, 4*v + 1 = a. Which is smaller: a or -13\/3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3*l**5 - 1195*l**4\/4 - 30320*l**3\/3 - 117760*l**2 + 81920*l - 6060. Determine g so that u(g) = 0.\nAnswer: -32, -16, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 65934?\nAnswer: 65933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1786*n**4 - 792*n**3 + 2*n + 769236?\nAnswer: -21432*n**2 - 4752*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-2)\/3*(-762)\/(-8)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Suppose 2*n - 4*n = 2*p, -d*n + 15 = 2*p. Sort p, 4, -4.\nAnswer: p, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115801 by -233.\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 + 2*j**3\/3 + 24*j + 70. What is the derivative of w(s) wrt s?\nAnswer: 3*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r + 2. Suppose 2*w = 3*h + 6*w + 5, 5*h - 9 = r*w. Calculate the remainder when 1 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -6 (b) -595 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5317*p + 10 + 1413*p - 10 as c*p + l and give c.\nAnswer: 6730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + (-92)\/(-20))\/(2\/(-10)). Suppose 3*b - 2*b - 273 = -r*g, -5*g + 288 = b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 416 (base 16) to base 12\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.4174 years in months?\nAnswer: 7013.0088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 3*g**2 + 7*g. Let o be w(-5). Solve 3*u + 2*u - o = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 1, u: 1, g: 3}. Give prob of sequence gupg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134700*j - 44902*j - 44899*j - 44898*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -267119 (base 12) in base 15?\nAnswer: -c7e46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05499 minus -7601.00057?\nAnswer: 7600.94558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/318 - -5\/53. Let x(z) be the first derivative of 4*z**3 - 2\/3*z - 1 - l*z**2. Let x(f) = 0. What is f?\nAnswer: -2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, -5440, 2\/17, 2\/9, 0.4 in decreasing order.\nAnswer: 0.4, 2\/9, 2\/17, -3\/14, -5440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -80? (a) -3 (b) 0.02 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7706?\nAnswer: 2, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/(-60) + 1\/(-3))\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125179708*m + 471192305.\nAnswer: 125179708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 0 - (-30)\/2. Let g be (15 - (3 - 9))\/1. Let k = -6 + g. Which is greater: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 12*f - 1170. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16649 or 0.1?\nAnswer: -16649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-15))\/(41 + (-7161)\/155 + 5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/((b\/b**(2\/9))\/b*b))**(7\/3)\/(((b*b\/(b*b**3))\/b)\/b)**(-2\/39) assuming b is positive.\nAnswer: b**(1748\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 + 7 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 7\/3 (c) -4\/3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.8999053 - -0.0998493. Let d = -102.8 + 95. Let b = d - f. What is b rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8065928?\nAnswer: 2, 13, 77557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**3\/6 + 53*b + 2. Let i(u) = -2006*u**2. What is i(t(j))?\nAnswer: -2006*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/58, 91, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**5\/20 + k**4 - 7*k. What is the third derivative of n(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-20))\/((-1)\/(-5)). Suppose -a - i*a + 12 = 0. Suppose 5*d - 5 = -5*l, 4*l + a*d - 8 = 2*d. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31971877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10270 + 10283. Suppose 4*x - 29 = -1. Solve g - x = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.348412035 - -7701.\nAnswer: 7700.651587965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15808795, -31617555, -47426315, -63235075?\nAnswer: -79043835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(300) + -2)*4 + (sqrt(75)*4 - sqrt(12)\/sqrt(4)*5)**2)*-3.\nAnswer: -1989 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -5*j**4\/4 + 85*j**3\/3 + 185*j**2\/2 + 95*j - 128. What is k in f(k) = 0?\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1284751.5*3.\nAnswer: -3854254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 18.4. Which is the third smallest value? (a) 0.04 (b) 1\/6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:26 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 + -130. Let u(w) = 17*w**3 + 23*w**2 + 7*w - 5. Let s(y) = 290*y**3 + 390*y**2 + 120*y - 85. Let p(q) = f*s(q) - 35*u(q). Factor p(n).\nAnswer: -5*(n + 1)**2*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/((564\/(-16928))\/(-47)).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*c - 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5486 + -5486.2. Suppose 5 = 2*u + u - 4*s, -s - 30 = 5*u. Which is the nearest to 2? (a) v (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -16, x = -111*q + 106*q + 4934. List the prime factors of x.\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4255 is divided by 1909.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 4 - 2 + 4)*(-3 + 7 - 2) - 37 - 9*d + 37)*(-5 + 4 - 1).\nAnswer: 26*d - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72096030?\nAnswer: 2, 3, 5, 23, 29, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*w = -0*w - 106, w + 2 = 0. Let t = -27 - f. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14250 - 14290. What is the nearest to 1 in -2\/3, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -412617 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 - (-19 - -18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 126 and -5362524476?\nAnswer: 5362524602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95661218 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 810*z - 475. Suppose -17*n + 10*n = -42. Let w(k) = -90*k + 53. Let b(f) = n*j(f) + 55*w(f). Find the first derivative of b(a) wrt a.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + m = 20 - 37, -8*f - 53*m - 119 = 34*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*l - 82*l**5 + 40*l**5 + 43*l**5 + (-2*l**2 + l**2 + 2*l**2)*(4*l**3 - l**3 - l**3) + (-2*l**5 + 2*l**5 - l**5)*(3 - 2 + 0) + 2*l**5 + 0*l - 4*l + 0*l.\nAnswer: 4*l**5 + 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10830920 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1486? (a) 0.3 (b) -0.02 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17062134979691 minus 0.1?\nAnswer: 17062134979690.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 1 + 0 - 3*x - 2*x**3 to the form n*x**3 + i*x + y + f*x**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1207\/2 - 609. What is the second biggest value in b, 6\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/10*(66\/44)\/((-234)\/(-32))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-183)\/(-2745)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/6)\/((-1)\/2). Let u = -11 - m. Let f = u + -1. Solve -f*o - 2 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054270 is divided by 167.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**3\/5 + 14*g**2\/5 - 36*g\/5 = 0?\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 40 = -13*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*y + 3*m, 14 + 60 = 2*y - 2*m. Suppose 5*b + 53 = 3*n, 5*n = b + 23 + y. Calculate the remainder when 87 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48936 divided by 2\nAnswer: 24468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d1 - -13cb?\nAnswer: 149c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 4*w**2 + 2*w - 3. Let d be j(-3). Let a be 120\/228*209\/22. Put 4, a, d, -3 in descending order.\nAnswer: a, 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -105?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 1. Let u(q) = -3*q**2 - 4*q + 6. Calculate 4*j(r) - u(r).\nAnswer: 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 215015 (base 6) in base 9?\nAnswer: 26542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 20 = 7*b + 4*p, 4*b = -2*p - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(1\/(-2)*1). Suppose 3*b = 2*z - 40 + 14, 5*z + 5*b - 90 = 0. Calculate the greatest common factor of z and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 23. Let p = o - 17. Solve p = 3*g - 6 - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 4. Let f(l) = -l**2 - 7*l + 9. Determine -4*f(d) - 9*z(d).\nAnswer: 4*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o - 17 = -t, -5*t + 5*o = -85. What is the remainder when (-21)\/7 - -26 - -5 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -28. Do u and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*a - 24 = 4*s, -3*s = -4*a + 32. Let o be (-3342)\/12*(s - 0). Let d = o - 1461. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*j - 22, -5*g + 3 = -j + 4. Let o be 1 - (j - 2\/(-1)). Put 5\/2, -2\/7, o, 1\/10 in ascending order.\nAnswer: -2\/7, 1\/10, 5\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2276, 2277, 2276, 2273, 2268, 2261?\nAnswer: 2252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/(-10))\/(((-91)\/(-1300))\/(-7)). Is 0.2 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55002 divided by -25?\nAnswer: 55002\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5650*m**2 + 147*m + 11. Let h(a) = -1413*a**2 + 40*a + 3. Calculate -22*h(p) + 6*v(p).\nAnswer: -2814*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 21. Let p be 2 - 3*u*5641. Round p to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2018231.7 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 9*z + 10. Let g be w(8). Let x be -6*-1*g\/(-4). List the prime factors of (-78)\/(-4)*(-4)\/x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - -42*8\/(-784)*-49.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let x be y(0). Let z be (-5)\/(-3) + -5*8\/40. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csssccc. Give prob of picking 1 c and 1 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 85\/(-17)*(-8)\/(-30)*(-21)\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(660\/18)*-10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*-3*-22. Let f be (-553)\/(-5) + (-63)\/105. What is the greatest common factor of f and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 181 = 35 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*l - l = 6, -l - 19 = -4*o. Let v be ((-2)\/o)\/(21\/28). What is the closest to 3 in 5, 2\/15, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -21 + 6*x - 24 + 7 + x**2. Find the common denominator of -59\/6 and p(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 16 = -3*a. Suppose -a = k - 4*k. Let c(s) = -4*s - 6. Let j(f) = -5*f - 7. Determine k*c(g) - 5*j(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125745 and 415?\nAnswer: 125745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118505 is divided by 23688?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from ggyjjqrjejyqgjjjrjyg?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 4*r**2 + 3*r - 2*r)*((5 + 1 + 0)*(r - r + 2*r) - 10 + 10 - 36*r + 2*r + 3 - 3 + (4*r - 5*r + 0*r)*(-5 + 1 + 3)).\nAnswer: -84*r**3 - 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2825760127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3\/4 - 419*w**2\/4 + 509*w\/4 - 85\/4 = 0. What is w?\nAnswer: -85, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 97882, 195612, 293320, 391006, 488670, 586312?\n\"Answer: -11*h**2 + 97763*h + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146899179, 293798354, 440697529, 587596704, 734495879, 881395054?\nAnswer: 1028294229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 19*n + 16. Give g(-16).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 4*o - 2*m, o - 4*m - 3 = 0. Suppose -3*x + 9 = -24. Let n = x - o. Calculate the smallest common multiple of n and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214428133 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4833 and 3043.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-6)*18\/(-8). Let c be (-6)\/(-1) - (-13 - (-14 - 3)). Suppose 5 = 2*g + p + 6, p + 5 = 0. Solve -r = g*h - c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/6392 and -69\/21902.\nAnswer: 1489336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115 - -4?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (318\/(-10) - (-5206)\/274).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssssssmsssms.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2643?\nAnswer: -1\/2643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109644 is divided by 712.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a37329 + 6?\nAnswer: 3a37332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-327*b**2 - 678*b**2 - 254*b**2)*(-3 + 3 + 2*b**3).\nAnswer: -2518*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*p + 1238*p**3 - 636*p**3 - 614*p**3 to m*p**2 + r + w*p**3 + g*p and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -141813.42 from 0.\nAnswer: 141813.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)\/1 - (1 + 3). Let g(q) = 3*q**2 - 2*q + 2. Let h(u) = -u**3 - 4*u**2 + 3*u - 3. Determine w*h(s) - 4*g(s).\nAnswer: 3*s**3 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 993552 and 615056?\nAnswer: 12916176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*y**2 - 2*y**3 + 3*y**3 + 124*y**2 as u*y**3 + n*y**2 + w*y + o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764001494 to the power of 1\/2, to the nearest integer?\nAnswer: 52574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 89, -55, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkqur. Give prob of picking 1 n and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6929 times 35?\nAnswer: 304.2515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilpiiiiiiipliiipipp. Give prob of picking 2 l and 2 i.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i = 4*i + 13*i + 45, -l - 3*i = 46 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20072 = 19*l - 6*l. Does 35 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 234 or 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*u - 46 - 116 - 60 = 0. Solve 2*a - u*b + 10 + 3 = 0, -2*a - b + 7 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 44 = 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34845 or 801420\/23?\nAnswer: 34845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 201, 200, 199, 198?\n\"Answer: -s + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 7*z + 16 = 2*z, -4*z = -4*o + 24. Suppose 0*k = j + k - 5, 0 = -o*k. Solve -5*i = 2*b + 12, 4*b + j*i + 9 + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 3*y + y**2 - 2*y - 1 + 3*y. Let k be -4 + (-1)\/(1\/(-2)). What is q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yauyyyuayau. Give prob of sequence yaay.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0075739 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1 + 3 - 3 + k + 2*k. What are the prime factors of g(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/7)*b*b*b*b**(-4)*(b*((b\/((b\/(b\/(b**0*b)))\/b))\/b)\/b)**(6\/7))\/(b\/b**(5\/3)*b*b*b*b\/(b*b**0\/b*b)*((b\/(b**(-2\/3)\/b))\/b)**22) assuming b is positive.\nAnswer: b**(-281\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + i - 20 = 0, -16*h + 8 = -14*h + 4*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(360)\/sqrt(192))\/((sqrt(360)\/sqrt(6))\/sqrt(10)) + 5).\nAnswer: 3*sqrt(5)\/4 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from hfemmphyfhhemeh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(16\/256)*11\/(-198)*6?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2426100 and 15756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.3, 0.4, -456, -1\/2, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(5 - 11)*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssccscccss. Give prob of picking 2 c.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2*(27\/(-6))\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 2)*(i**4 + 0*i**2 + 0*i**2) - i**4 + i**4 + 2*i**4 + 0*i**4 + 0*i**4 - 2*i**4.\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccecceccc. What is prob of picking 2 c?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 58, -11, -150, -383, -734?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + (1 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 4*u + 16. Calculate y(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3590137317.9999929 + -3590137462. Let t = y - -144. Round t to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21540, 11839, 2138, -7563, -17264, -26965?\n\"Answer: -9701*b + 31241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120387902.\nAnswer: 2, 60193951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2021, -16183, -54619, -129467, -252865?\nAnswer: -436951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r. Let p = 1214 - 3641\/3. Let t(o) be the first derivative of 6 + p*o**3 + 0*o + 0*o**2. What is t(k(q))?\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33115*n**4 - 23*n**3 + 391888063 wrt n?\nAnswer: 132460*n**3 - 69*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*h + 7. Suppose -3*q = -h*l - 597, -2*q + 85 = -3*l - 316. Let d = q - 108. What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-2)*20\/(-15). Let y be 4\/6 + 438\/h. What are the prime factors of 5\/y + 327\/15?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*k + 136, 8*c + 336 = 3*c - 3*k. Calculate the common denominator of 409\/(-90) + 3 + (-51)\/15 and (2 + 1)*c\/(-162).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1. Let x = p + 0.1. Which is the closest to x? (a) -1\/3 (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0350118 - 0.035. What is v rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1\/4, 71, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-35)\/(-20)))\/(16\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 48, 3, -4, -1, 0.04, 121?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 11 - 44 + 65 - 248*t.\nAnswer: -248*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -84.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 877 + -869. Suppose 0 = 6*f - f + 20, 2*f = 5*j - z. Solve 12*y - y + 11 = j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z - 15. Suppose g - 2 - 3 = -z*j, 0 = -4*g - 5*j + 20. Suppose g*y + 0*y - n = 24, -4*y = 5*n - 25. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38387678.32 rounded to the nearest one thousand?\nAnswer: -38388000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -288886*y**2 - 18*y + 4. Let v be t(6). Round v to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*w - w - 465 = 0, 4*g - 396 = -2*w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*f*t**2 + 3701*f*t - f + 21618*t**3 - t - 43 wrt t.\nAnswer: 68*f + 129708*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/1)\/((-9)\/25)*2535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2904*b**5\/5 - 17*b**3\/3 - 51*b**2\/2 - 2598. Find the third derivative of t(s) wrt s.\nAnswer: -69696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -147. Let q be (-2)\/(-7) - (-141)\/21. Let u(h) = -q + 0*h + 4 - h. What is u(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from gugppggggguggggpgg.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4362, -8724, -13086, -17448?\n\"Answer: -4362*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**5 + 4255*h**4 - 410760*h**3 - 2566280*h**2 - 5200240*h - 3489360 = 0.\nAnswer: -938, -2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*y + y**2 - 1195*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*d + 1 - 10, -w = -2*d - 6. What is the first derivative of 45 - 67*z**2 + w*z**3 + 2*z**3 + 12 + 5*z**3 - 9*z**3 wrt z?\nAnswer: -6*z**2 - 134*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 470\nAnswer: 1\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**4\/7 - 162*d**3\/7 + 72*d**2 = 0.\nAnswer: -84, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/71)*m**9*m**(-2\/3)*m**(-1\/8) assuming m is positive.\nAnswer: m**(13939\/1704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1819*n**4 + 4*n**3 + 3060*n - 12. Let g(s) = -s**3 + s + 3. Let h(m) = -f(m) - 4*g(m). What is the second derivative of h(o) wrt o?\nAnswer: 21828*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -4*t. Is 10 a factor of 35\/1 - t\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 5*u - u)*(-1 + 2 - 4) - 6*u + 3*u - 3*u + (-2 + 0 + 0)*(12*u - 3*u + 0*u) - 3*u + 3*u - 2*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -138570*r + 2771371. Determine y(20).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50925246?\nAnswer: 2, 3, 37, 229393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/35 smaller than -90\/3287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68666165839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Suppose 9 = 21*t + 177. Let j(b) = 511*b**2 - 7*b - 5. Let l(n) = 768*n**2 - 11*n - 8. Let z(c) = t*j(c) + 5*l(c). Calculate z(q(f)).\nAnswer: -248*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -18*u + 4*z + 1284, 0 = -8*u + 4*z + 3444. Are 433 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 - g**2 - 124*g*p**2 - 158*p**2 wrt g.\nAnswer: -4*g**3 - 2*g - 124*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001342498 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 879.4304 - 71.1642. Let v = 808 - s. Let q = v - -0.27. What is q rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x + 2. Let h be r(0). Let q(c) = 0*c**h - 6 - 3*c**2 + 4*c**2 + 3*c. Let o be q(-5). Solve -o*p - 9 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - p = -9, 578*p = -2*b + 582*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 4a92490?\nAnswer: 4a92490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 6. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23618972*w**4 - w**2 - 278750.\nAnswer: -566855328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/20)\/14*3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 24*u + 2. Let c(h) = -1889*h - 1126. Let a(f) = c(f) - 4*j(f). Differentiate a(k) with respect to k.\nAnswer: -1985","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*1 + (-1)\/(-3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417 and 82149?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (96\/72)\/(2\/(-6)) - 116840\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5200 is divided by 5146?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttooljoootttkok. What is prob of picking 1 j, 1 l, and 1 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 25, -2*r + 467 = 3*y - 30. Let q = -2 + 6. Suppose 4*c - y = 5*g, -c + q*g - 58 = -2*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 7. Let t be s(3). Suppose 0 = t*b - 0*b - 10. What is the greatest common factor of 3 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 1)*(-1 + x + 1 + (1 - 2 - 1)*(2 - x - 2)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814457059.\nAnswer: 14153, 128203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 10.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 8*r - 4. Let w(y) = -y**3 + 7*y**2 + 10*y - 14. Calculate the lowest common multiple of b(-3) and w(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**7\/140 + s**5\/60 - 4*s**3\/3 - 7*s**2. Let h(r) be the first derivative of l(r). Find the second derivative of h(c) wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088894717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/4 - t**3\/3 + t**2\/2 - 5*t + 2. Suppose -4*a + 2*w + 0*w + 10 = 0, -5*a - 25 = 5*w. Calculate f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 1\/4, -5, 6, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 51*i**4 - 3*i**3 + 104*i**2 + i + 14212. Let a(j) = j**4 + 3*j**3 - j**2 - j. Let m(c) = -a(c) - z(c). What is the derivative of m(x) wrt x?\nAnswer: -208*x**3 - 206*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 6, -3*u = -4*a + 26. Let z(f) = -68*f**3 - 4*f - 4. Let b be z(-1). Let o = -48 + b. What is the greatest common divisor of a and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7))**(-3\/13)*t*t*t**13*t*t*t**(2\/43) assuming t is positive.\nAnswer: t**(66832\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Expand (-6*j + 2*j - j)*(-4*j + 4*j + 9*j) + (6*j - 2*j - 3*j)*(2*j - 2*j + 2*j).\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30032 + 60032. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/1855464 and -75\/1064.\nAnswer: 12988248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/287655 and 83\/18.\nAnswer: 1725930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppaapp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 614258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -172 (b) 1\/3 (c) -230 (d) 0.3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 33*v - 110. Determine w(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.61790857 or -0.1?\nAnswer: 0.61790857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-13 + 1 + (3 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 - 140*l + 140*l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((12 - 18 - -8) + 18) - 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 2:17 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35729*f - 699 - 181 = -35740*f. Solve 106 - f = 13*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*8\/(-48) - (-4)\/6. Suppose 2*r - 5 = -i - 0, 0 = -4*r + 5*i + 3. Let f(s) = -s**2 - s**2 + j*s**r - 2*s**2. Let d(m) = -8*m. Determine d(f(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 618736291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -205, -463, -823?\nAnswer: -1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/253 and -41\/87400.\nAnswer: 961400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6133 - -12265\/2. Put -71, n, 2\/11, 0.2, 3 in increasing order.\nAnswer: -71, n, 2\/11, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -45?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 8. Let l be y(4). Suppose 3*j + 16 = 5*p, -12 = -5*p - 3*j - 8. Solve l + 6 = -p*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = -v, -2*g - 987*v = -986*v - 10. Find b, given that 16\/3 + 8*b**g + 8\/3*b**3 + 32\/3*b + 1\/3*b**4 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 600 = -25*i + 317 + 312, 0 = -4*i + 4*z - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 2*y - 14, -6*o - y - 9 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*l + 195*l + 208*l - 653*l.\nAnswer: 61*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -25878 (base 12) to base 4\nAnswer: -30202130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11605752 is divided by 152707.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 2, 8 in ascending order.\nAnswer: 2, 8, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - f - 1. Let h(c) = -c**3 - 2*c**2 + 15*c + 14. Let u(x) = h(x) + 5*p(x). Let l be u(-8). Sort 4, 3, l.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 240*u. Let p(w) = w. Determine p(o(m)).\nAnswer: 240*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 606 - 1053 = 0. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 8 = 56. Which is the fourth smallest value? (a) 15 (b) -11 (c) z (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 2 + 7*v + 2*v**2 - 5*v. Let p(w) = -6*w**2 - 13*w - 13. What is -6*p(i) - 39*z(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {l: 3, g: 8, r: 7}.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235803 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62887 is divided by 4192.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j\/j**3)\/j*j*j))\/j*j**(3\/8))**39)**(3\/37) assuming j is positive.\nAnswer: j**(351\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + -10 + -16 + 13305\/600 and -101\/2108.\nAnswer: 21080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 13*g**2 + g - 4. Let r be d(13). Let u be 3*((-4)\/r)\/2. Let y = 1215 + -1219. Put u, 2\/3, y in increasing order.\nAnswer: y, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1154 or 1153?\nAnswer: 1154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = -4*q + 390, 0 = -2*q - 5*x + 175. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529388 divided by -98?\nAnswer: 15606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/42 - 7) + (-4)\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -375.8 - -34.6. Round i to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000402436 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {m: 5, h: 1, u: 1, i: 1, x: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.669914 kilometers?\nAnswer: 866991.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135265161*d*t**2 - 6*d*t + 2015346*t wrt t.\nAnswer: 270530322*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/84*0\/2. Sort c, 3, 8, 2 in descending order.\nAnswer: 8, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10359197791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -34.7. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(68)) + 3)*-3 + 1 + (sqrt(17)*1 - sqrt(17)) + 5)**2 + 0 + sqrt(153) + -4 + (0 + sqrt(272) - sqrt(17)) + -5.\nAnswer: -12*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 6*b**2 - 7*b + 6. Let g be z(-6). What is the greatest common factor of g and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1354714.3 and -342139.\nAnswer: 1012575.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + j - 3 = 0, -2*h - 5 + 10 = 3*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 442946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16433?\nAnswer: 16433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46563222 is divided by 1047?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 127663992?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 28*i**2 + 6 - 6 as r*i**2 + q + b*i and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 3}. Give prob of picking 2 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x + 9. Does 6 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 44\/5 of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2635072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503950224?\nAnswer: 2, 7, 13428127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 307547*a**2 - 307547*a**2 - 544*a.\nAnswer: -2*a**3 - 544*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5271.7 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3370990 from -29.\nAnswer: -3371019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 82632*f + 130568864.\nAnswer: 4*(f + 1724)*(f + 18934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15 - 2 = -4*n - 2, -6*w = -30 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, z: 2, b: 2, w: 2, r: 10}. Give prob of sequence kr.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 181369550 rounded to the nearest ten thousand?\nAnswer: 181370000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 130*b - 280.\nAnswer: 5*(b - 2)*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 10. Let s be a(8). Suppose s*b - 551 = 3*o, -b = -4*o + 79 - 352. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91451186 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*y - 490. Let i be 3*-5*6\/(-45). Suppose 4*o = i*o + y. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-91)\/28 - (0 + -1 + -2). Which is the closest to 0.2? (a) g (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 9*p**2 + 229*p - 225*p - 6*p**3 + 4*p**2 - 1 + 2 as c*p + k + z*p**2 + m*p**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2211634681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003.39 centimeters in kilometers?\nAnswer: 0.0600339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 144\/288*1\/(1\/24). Suppose 4*r = -o*r. Which is smaller: -1\/60 or r?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -106 (b) -0.090618 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:23 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*y + 7. Let n be -4*y\/20*45. List the prime factors of 17\/((-74)\/n - 4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 778*b**2 + 780*b**2 - 1558*b**2 + 19*b + 2*b**3 in the form t + f*b**2 + u*b**3 + k*b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -20. Solve 5*l - s*y + 22 = 0, 16 = -2*l - 0*l + 3*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001470911 rounded to 5 decimal places?\nAnswer: -0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 34*d**3 + 16*d**2 - 4*d - 6. Let k be c(6). What is k rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-12)*a)\/a*a*a*a*(a*a**(2\/11)\/a*a*a)\/a assuming a is positive.\nAnswer: a**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 5*y - 259. Suppose -4*f = -8*j + 580, -5*j + 4*f - 3*f = -376. What is the remainder when y is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-106 + 52)) + -91.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000 and 23976250?\nAnswer: 95905000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 43\/15 - (665\/75 - 9). Suppose g*i = -i - 4*n + 144, -87 = -2*i + 3*n. Calculate the greatest common divisor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 8*t**2 + 3*t. Let d be r(3). Let x be 0*(-2 + 1) - 54\/d. Suppose 296 = x*y - 286. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*s - 6895789*j**2 + 2*j*s - 136*j - 4*s + 39 wrt j.\nAnswer: 4*s - 13791578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2 + 3. Suppose 0 = -5*k - 4*a + 31, -2*k + 17 = k + 2*a. Suppose k*f - s*g - 5 = 0, -g = 3 - 5. Solve 0 = -p + f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-511 - 359 + 1040)*(-5*j + 5*j + 9*j**2).\nAnswer: -1530*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - b + 6. Let t be ((-132)\/(-99))\/((-4)\/6) - -2. Calculate p(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3594142.\nAnswer: 2, 41, 53, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/4)\/7 - (-538075)\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 21*g**2 - 82*g - 57. Give a(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-171)\/(-33) + 12\/(-66). Solve 0 = -x*h - 0*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 + 55*p**2 + 92*p - 101. Give j(20).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 7*b + 11. Suppose q - 14*q = 91. Let d be j(q). Calculate the greatest common factor of 143 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000357844 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8130.9973589 - 8131. Round o to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -40?\nAnswer: -40.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 + -217b?\nAnswer: -21b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-6) - (-39)\/18. What is the tens digit of -4 + r + 0 + 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*s**2 - 51*s**2 + 304*s**2 - 39*s**2 - 59*s**2 - 50*s**2 - 55*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a + 19*w - 10*w = -14*a + 24, -3 = -3*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**2 + 87*x**2 - 2 - 22*x**2.\nAnswer: 26*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Suppose -1\/2*l**3 + z*l**2 - 1\/2*l**4 + 0 + 0*l = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*t + 1422 + 4121 = -552 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 4*z + 3. Let o be t(-4). Suppose 0*c + 18900000 = o*c. Round c to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + d**2 + d + 3. Let y be t(0). Let v be 0 + y\/12 + 0. Let w be (0\/3)\/(1 + 0). Which is the nearest to w? (a) v (b) -5\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 6*q. Suppose -5*m = q*s - 10, 2*m = 5*s + 5*m - 22. Let i be ((-12)\/(-15))\/((-2)\/s). Which is the closest to 1\/3? (a) -4 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 435 + 0.047\nAnswer: 435.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 2, d: 8, v: 1}. Give prob of picking 2 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3504 is divided by 855?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 746 divided by 3.\nAnswer: 746\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*k**2 + 84*k - 147*k**2 + 72*k**2)*((7*k - 3*k - 3*k)*(1 + 1 - 4) - 9 + 9 - 5*k).\nAnswer: 35*k**3 - 588*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155942205 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 920\/(-690)*(-12)\/(-568)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1563000 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -1 - 7. Let i be z + 0 + 5 + 0. Solve g = i - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-4 + (-1 - -11) - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 1. Suppose -31 = -6*b - 1. Let f(w) = 7*w. Let k(s) = -6*s + 1. Suppose 8*a = -12 + 36. Let x(o) = a*f(o) + 2*k(o). What is b*j(i) - 3*x(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -9\/35, -0.5, -17?\nAnswer: -9\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 169 or 87110\/517?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Suppose u*i = -6*k + 2*k + 76, -58 = -3*k - i. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -41*o + 1. Let q be c(-4). Let v = q + -162. Solve 0 = 2*i + l + 2*l + 2, -v*i + 10 = -2*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8155170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 46 = 4*s - 2*j, 34 = 2*s + 2*j. Let l(c) = -2*c**2 + 28*c. Let r be l(s). Sort -4, -3, r in increasing order.\nAnswer: -4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 3. Let v = -14 + 15. Let f be -3*(1 - 0\/2). Let k(z) be the first derivative of z + 145. What is f*k(u) + v*g(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**5 + 25*g**4 - 40*g**3 + 20*g**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/4 + 127*n\/2 = 0 for n.\nAnswer: -254, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 2*d + 3*d**4 + (2 - 2 - 2*d)*(-2*d**2 + 2*d**2 - 2*d**3) + 13*d**4 - 2*d**4 + 2*d**4 to the form a*d**2 + l + j*d + k*d**3 + p*d**4 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 3:57 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 16 + 22 = 0. Suppose 0 = -a*b + 2*b - 52. Let o = -11 - b. What is the greatest common divisor of o and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355982 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, x: 4, v: 3, f: 4}. What is prob of sequence xzvf?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 3*t**2 + 2*t**2)*(-360*t + 61*t - 104*t).\nAnswer: 806*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1538, -3071, -4602, -6131, -7658, -9183, -10706?\n\"Answer: v**2 - 1536*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21166439681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 + 552250*v**4 - 7*v**3 - 15806440*v**2 wrt v?\nAnswer: 120*v**2 + 13254000*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m + 95*m - 35 = 0. Solve 0 = -2*l - 4 - 2, -m*j - 4*l - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + l = 76095 - 17381, 5*l + 58678 = 2*r. What are the prime factors of r?\nAnswer: 2, 13, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 205.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 22 = -5*d, 3*n = 2*d + n - 16. Let c be 3199\/35 + (-21)\/15. Is 185\/d - (-15)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3359 + 12604. List the prime factors of o.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(28) - (sqrt(28) + sqrt(112)\/sqrt(4)))*3)\/sqrt(144) + (-2 + sqrt(343) - (sqrt(77) - 1*sqrt(77))\/sqrt(11)).\nAnswer: -2 + 23*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 7. Let n be p(4). Let f be ((-2)\/4)\/((-1)\/6). Put 4, f, n in decreasing order.\nAnswer: 4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z. Let b = -683\/6 + 114. Let s(q) be the second derivative of b*q**3 + 0 + 0*q**2 + 7*q. Give s(t(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.53, 15\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 804 in 5, -1\/7, -5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1, 0.5, 120662?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.82571604 rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**2. Let r(i) = 13650*i**2. Give r(t(c)).\nAnswer: 668850*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/425)\/(-3*(-2)\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/11)\/((x*x\/((x\/(x**12\/x))\/x))\/x)*(x**(-1\/7))**(2\/69))**(2\/5))**(-35) assuming x is positive.\nAnswer: x**(129488\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57 - 56 + 60)*(17*w - 5*w - 7*w + (2 - 4 + 1)*(-2 + w + 2) - 4*w + w + w) to the form r + u*w and give u.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(2*27\/(-3078))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxf when three letters picked without replacement from {f: 4, x: 14}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 8*a + 17. Let p be z(7). Suppose -p = -21*b + 19*b. Suppose -b*k + 11804 = -k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*sqrt(352)\/(sqrt(32)\/sqrt(4)))\/(sqrt(20)\/(sqrt(80)*1)))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 114275249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 7*s - 8. Let k be z(8). Suppose k = -2*q - i + 10, -i = 5*q - 4*i - 3. Let p(v) = -q*v**2 - v + 1 + 2*v**2 + 2*v**2. Give p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 7667.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11416616.611 to the nearest 100.\nAnswer: 11416600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 253. Let p = 265 - w. Calculate the greatest common divisor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 22. Let q = 13 - 7. Let g be j(q). What is the lowest common multiple of ((-26)\/65)\/(g\/60) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20291493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 28*l\/11.\nAnswer: -2*l*(l - 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3 - 133386*h**2 - 266776*h = 0.\nAnswer: -2, 0, 133388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.24806249 to two decimal places.\nAnswer: -100.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 3:30 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134112 and 72644?\nAnswer: 1743456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - u + 21 - u**2)*(5*u + u - 2*u**2 - 2*u) in the form q*u**4 + z*u**3 + d + c*u**2 + p*u and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/75)\/((-41062)\/73325).\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 1:16 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-3) - -3)\/((-2)\/24). What is the nearest to 0.1 in 5, 0.07, n, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from urtuaruuatututjaujtu?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*p + 93*p + 89*p + 88*p - 128*p**3.\nAnswer: -128*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y + (-1 + 1 + 1)*(-5 + 5 + y) + 3 - 3 - y + 2*y - y - 2*y + 1 - 4*y - 1)*(y - 3 + 4 - 7*y).\nAnswer: 42*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 11 - 40*z**2 - 14*z**2 - 9)*(4*z**2 - z**2 - z**2).\nAnswer: -108*z**4 - 4*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4851 and 3087?\nAnswer: 33957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 182283 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1767, -8413, -19529, -35115, -55171, -79697?\nAnswer: -108693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 519529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.53 + 0.03. Let h = c - -3. Let z = 0.3 + h. Put 0, z, 2\/3 in increasing order.\nAnswer: z, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 37988*p**2 + 4. Let q be c(3). Let j be 2\/(2\/1) - -1031895. Let g = q - j. Round g to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104328 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 11. Let u be g(-8). Let q = -3 - u. Suppose q = 5*l - 5. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*g = 399*g - 76 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*l - 57 + 57 in the form u*l + p and give u.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 553810035 divided by 15\nAnswer: 36920669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + ((-57154)\/153)\/(2\/(-3)). Calculate the greatest common factor of 304 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {a: 3, j: 3, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14013411 + -1?\nAnswer: 14013410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aitgiittai. What is prob of sequence aat?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a, 2*a - a + 20 = -5*d. Let z(m) = -m**2 - 3*m. Let f be z(d). What are the prime factors of 1\/f + (-84)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 - x**2 + 6*x + 5. Let f(b) be the second derivative of b**5\/5 + b**4\/12 - 7*b**3\/6 - 3*b**2 + 9*b - 24. Calculate 5*f(q) + 6*j(q).\nAnswer: 2*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18940, 18941, 18942, 18943, 18944?\nAnswer: 18945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8503*u - 2*u**2 + 8479*u - 16982*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5830608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/((-742)\/(-28))*16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20323, 0, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:07 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**4 - 399*k**3*q**2 + 2*k**2*q**2 + 2*k**2 + 3*k*q**2 - 5704*k*q wrt k?\nAnswer: 96*k - 2394*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 2)*(-2 + 1). Suppose 3*n = n - w - c, 0 = 5*n - 3*w - 12. List the prime factors of 3 - (2 + n + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:51 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose r*p + 1 = 7. Suppose 2*q + 0*q - 4 = 0. Solve 5*h - q*h + 4*d + 9 = 0, h + 4*d = -p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2879708 divided by 100?\nAnswer: -719927\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10953, 21912, 32871, 43830?\n\"Answer: 10959*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 996604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 388 + -366. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -200?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-1)\/2 + -1*33\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*a = -11, -2*m - 3*a + 8*a = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*h)*(7*h - 3*h - 2*h) - 6*h**2 + 4*h**2 - 5*h**2 + 2*h - h + 10*h**2 + h.\nAnswer: 7*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 = -10. Let p be i*(0 + (-14)\/(-4)). Suppose p = -5*l + 89. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 15) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21457 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/(-7) - 890) + -4 + 0. Let n be 2\/9 + 380\/s. What is the nearest to -0.2 in 0.3, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-9)\/(-63)*-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 7 + 0)*(4 + 2*k - 4)*(-2 - 2*k + 2).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328786\/2901 - 2\/967. Let h = 114 - o. Suppose 0 - 2*n + 4\/3*n**2 + h*n**3 = 0. What is n?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61930, 61938, 61948, 61960, 61974?\nAnswer: 61990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b + 1. Suppose x - b = 1. Solve -r - x*r = 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827 is divided by 79.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Let f be 3\/4*i + 0. Solve -3*p = 9 + f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1151 by 3.\nAnswer: 1151\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-520)\/(-50) + 3\/15*-2. What is the greatest common factor of 235 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244 (base 12) to base 8.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 44297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 2*x**2 - 5. Suppose 20*q + 15 = 15*q. Let g be p(q). Solve -d = g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1 + 5)*1. Let d = 289 + -286. Suppose 3*g + d*k + 2 = g, 0 = 3*g + 5*k + 5. Put g, 1, q in decreasing order.\nAnswer: g, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 79991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*i - 4*i + 5*n, 3*n + 27 = 5*i. Let z be i + 12\/9 - (-2)\/3. Sort 2, -8, z in decreasing order.\nAnswer: z, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344100 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 4*o + 1. Let i be j(3). Let z be -1 - (i - (-1)\/1). Solve -4 = f - z*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjf when three letters picked without replacement from {j: 2, x: 2, o: 3, f: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -19, -5, 3736 in decreasing order.\nAnswer: 3736, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19653049.\nAnswer: 13, 19, 251, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3881685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) 1 (c) -0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -40, 141, 488, 1055, 1896?\nAnswer: 3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4\/7 - 6532*v**3\/7 + 217960*v**2\/7 - 793584*v\/7 + 767520\/7 = 0. What is v?\nAnswer: 2, 30, 1599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 6*w**2 + 3. Let j be r(-6). Let f(q) = 0 + q + 30 - 9. Let d be f(-23). What is the nearest to d in j, -1\/11, -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207732?\nAnswer: 2, 3, 7, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-138))\/((-46)\/33856)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (6 - 12) + -424. Let x be (-1)\/(3\/(-9)) + h\/135. Let k = 301\/1595 - 1\/145. Which is the closest to 0? (a) k (b) -0.02 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 * -0.4\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 6077?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2671 = -458*c - 535 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284655 + -2.01154.\nAnswer: -284657.01154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35419*(-33)\/(-55)*-5*2\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 126, 127, 150, 213, 334?\n\"Answer: 3*b**3 - 7*b**2 + b + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 635260357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 c when four letters picked without replacement from {c: 13, k: 6}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2326*t**2 - 12563*t**2 + 0.\nAnswer: -14889*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z = n + 16, -4*z = -2*n + 8. Let c be 11\/3 + (-2)\/n. Solve -2*i = 5*u + 23, u - 31 = c*i + 6*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {t: 3, y: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29203?\nAnswer: 19, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17*1\/(-5) - 557966\/(-12290)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 5*j. Suppose 16 = 3*g + 64. Let f(d) be the third derivative of -d**6\/12 + 13*d**4\/12 - 2*d**2. Determine g*c(p) - 3*f(p).\nAnswer: -2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**7\/1155 - z**6\/660 + z**5\/330 + z**4\/132 + 3*z**2. Factor h(c).\nAnswer: -2*c*(c - 1)*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j - 38. Let z be u(-6). Let a = z - -4. Is 3*1 - (10 + a) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqby when four letters picked without replacement from {c: 3, b: 3, p: 4, q: 1, l: 1, y: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 12, 35, 19, -1, -32 in descending order.\nAnswer: 35, 19, 12, 5, 0, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = 3*w. Suppose -18 = -2*v + w. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 1 (c) 1\/5 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 3, s: 2, g: 1, r: 4}. Give prob of sequence rxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*h = -2, -3*p + h = 8 + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 16. Let n = 1020.50941478 - 1010.509413. Let b = n + q. Round b to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or -0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121808 and 8752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j**3 + 4*j**2 - 2*j + 13. Let p(a) = 19*a**3 - 6*a**2 + 3*a - 18. Calculate -7*g(k) - 5*p(k).\nAnswer: -4*k**3 + 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -538792 (base 15) to base 3.\nAnswer: -21111002001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 1. Let s(c) = -14*c**2 + 12*c + 60. Let q(l) = -s(l) - 4*w(l). What is the tens digit of q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -10. Suppose 9*a = 4*a + d. Factor 3*p**4 - 4*p**4 - 8*p**3 - 3*p**4 - 4*p**a.\nAnswer: -4*p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 614 - 680 - 2*d. Let p(c) = -c**2. What is y(p(v))?\nAnswer: -v**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822 a factor of 34526018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3\/4, -0.8, -1\/3, -93, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/508 and -47\/5588.\nAnswer: 5588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6 - (1 - -3)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101010122 - -12?\nAnswer: 2101010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:05 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 121632, -1, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/45 - 17\/90. Suppose -5*w = 2*x + 1, -5 = 5*w - 2*x + 4. What is the closest to w in 5, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 7:59 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/((-83448)\/(-305))*(48\/50)\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2 + 20 - 3 - 1 + u. Let y be i(5). Suppose 0 = 24*x - y*x - 90. Is x greater than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7998792 millilitres in litres?\nAnswer: 0.0007998792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 4\/32*22. Suppose 4 = 4*g, 4*q = g + 1 + 6. Let p = 2\/43 - 51\/172. What is the nearest to p in -4, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1420, -1316, 296, 3416, 8044, 14180?\n\"Answer: 754*z**2 - 2158*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**2\/13 + 864*b\/13 - 344\/13.\nAnswer: -2*(b - 86)*(5*b - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:01 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -28170 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.396 - 2.4. Let g = 1 + j. Round g to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-28) - 1014\/21. Let u = -199\/4 - b. Find the common denominator of 53\/14 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1659, 1688, 1731, 1788?\nAnswer: 1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1606 + 11244\/7. Suppose 4*u + 2 = -2*l, 0*l + 3*l + 21 = 3*u. What is the third smallest value in u, 4, -8, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -8*r + 5*r, -3*x - 4*r = -30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 5, j: 1, x: 3, s: 3}. What is prob of sequence sxj?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17150, -34306, -51462, -68618, -85774, -102930?\nAnswer: -120086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-170.369127\nAnswer: -170.869127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k = -75*k + 104 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/56 of a week?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/4, 2\/15, 0.07?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 91 - 5. What is the remainder when 42 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900)*6 + sqrt(1900)*-1*-3 + (-5 + 1*sqrt(1900) - (sqrt(1900) - 3*(sqrt(1900) + 1))))**2.\nAnswer: -720*sqrt(19) + 615604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + 9 + -5. What are the prime factors of (-52)\/l*30\/(-20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38741 is divided by 560.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/5 (b) -6 (c) 66 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h - 4. Let j(v) = -16*v - 61. Let l be j(-4). Calculate n(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 2241255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-60) - (-1)\/10.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*n + 213*n - 1206*n.\nAnswer: -1114*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*i - 13, 0 = 4*i - 8*f + 9*f - 17. Put 17, 3, 5, i in decreasing order.\nAnswer: 17, 5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 + 2*u**2 + 3*u + 2. Let r be -2 + -7 + 6\/3. Let q = 10 + r. Let d(n) = 4*n**3 - 3*n**2 - 4*n - 2. What is q*b(w) + 2*d(w)?\nAnswer: -w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31 - (-3 - -6) - -2. Let s = 66 - c. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-50)\/(-4))\/5*-2. Let o be (-10)\/t*(-5)\/(-2). Solve o*u + 0 - 20 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -5 - 7)*(13 - 2). Suppose -h*o = 8*o - 57. Let j(g) = g**2 + 4*g + 3. Let i be j(-4). Solve -5*m - 22 = -o*t + 3, -i*t + m + 17 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879092.\nAnswer: 2, 19, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*k = -12, 0 = -4*s + 2*k + 45 - 15. Put 4, s, 3 in increasing order.\nAnswer: 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x + 19. Let b(r) = -r + 4. Let l(j) = 22*b(j) - 4*p(j). Let a be l(9). Is 16 a factor of -3 - (a + 3) - -16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-420)*6*2. Let w = -3529\/70 + q. Calculate the common denominator of 105\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 5, 2.4, -0.13, -5, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (2 + 0 + -2). Let g be (2\/l)\/(4\/18). Sort 0, -2, g in descending order.\nAnswer: 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 33 - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127858*h*j**2*o**3 + 2*h*j**2*o + 8*h*j*o**3 + 736*h*j*o**2 - 9*j*o wrt j?\nAnswer: 255716*h*o**3 + 4*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 3, -25.\nAnswer: -25, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -32?\nAnswer: 7\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 217*m - 878. Give i(-68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.3 (b) 67 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 14*s**2 + 23*s - 15. Let j be y(-12). Let k(o) = -24*o - 8. What is the lowest common multiple of 6 and k(j)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443610 (base 11) to base 14.\nAnswer: 145b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4767 less than -0.1?\nAnswer: -4767.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 1. Let x be o(9). Let v = -6 + x. Solve -2 + v = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i**2 - 3*i + 4*i**2 - 13*i**2 - 15*i**2 + (2 - 2 - 2*i)*(-6*i + 4*i + 0*i) + 2 + 2*i**2 - 2)*(-i**3 + 0*i**3 + 2*i**3).\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7070, 14206, 21342?\nAnswer: 28478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Which is the closest to k? (a) -1\/2 (b) -2\/17 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, -5, 1663, -2, -14 in decreasing order.\nAnswer: 1663, -2, -5, -14, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:34 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 506 - 256. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335368 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42439\/4 + 10559. Let u = l - -1445\/28. Let w(s) = 3*s**2 + 7*s + 3. Let g be w(-2). What is the closest to g in 0.2, u, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -0.1, 22, -0.5 in descending order.\nAnswer: 22, 6\/5, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69.9999986 - 70. Round g to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 289873339013\nAnswer: -289873339013.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199105613 and 763.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-6)\/(3 + -6). Suppose 0 = p*o - 1 - 7. Solve -3*b - o + 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 748 - 909. Let o be (10 + m\/14)\/(33\/4). Let h = -3\/40 + -3\/10. Which is the second smallest value? (a) -0.5 (b) -2\/9 (c) o (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945*p + 50977 + 16067 = 455*p + 412*p for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (441\/28 - 11) + 9\/(-12). Solve 3*t = -2*i + 19, 7*i - 8*i = -v*t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -12. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 4*j - 5. Let y be o(5). Calculate the remainder when ((-22)\/5)\/(1\/y) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.8698147 months?\nAnswer: 0.000239151225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(64\/(-85576)) + -3. Let r = t - -513629\/48. Calculate the common denominator of -41\/90 and r.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6347, -7331, -8315, -9299, -10283, -11267?\nAnswer: -12251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 4*u**3 + 2. Let b(p) be the second derivative of -2*p**3\/3 - 2455*p. Give b(v(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13697\/42 or -325?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 1. Let d(h) = -4*h**3 + 3*h + 9. Let x(s) = d(s) - 3*y(s). Suppose -7 = 17*g + 61. What is the units digit of x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 42. Let u(j) = 5*j**2 + 3*j - 2. Let v be u(z). Suppose v*d + 90 = 9*d. What is the remainder when 57 is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13 = -2*z, -2*n - 5*z = n + 1. Let h = -145143 - -145129. Is n != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -253*m**2 + 65*m - 662. Let w be o(79). What is w rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/5055 and 49\/78?\nAnswer: 131430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 578 and 18302642?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203.76 + 203. Let s = -14248 - -14248.75866. Let v = s + z. Round v to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3988.091l in millilitres?\nAnswer: 3988091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-27)*14*(11 - -1). Let c = b - 3. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 517953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.7799987983 + -44.78. What is g rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2766, 1, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.3, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50\/(8\/(-18)*(-15)\/100)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 257*w**2 - 14*w - 28. What are the prime factors of s(-4)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24135 + -1?\nAnswer: 24134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2\/10)*1. Let l(d) be the first derivative of 2 + 0*d**4 + 0*d**2 + 0*d + 2\/3*d**3 - b*d**5. What is the third derivative of l(c) wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 3*t + 1. Let m(k) = -2*k**2 - 2*k + 1. Let a(f) = 11*f - 3. Let c be a(0). Calculate c*m(d) + 2*u(d).\nAnswer: 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**5 - 12*b**4 + 2*b**3 - 6*b**2 + 4*b + 13. Let n(o) = 3*o**4 - o - 2. Let k(w) = i(w) + 5*n(w). Suppose k(v) = 0. Calculate v.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 3, 29, 87, 189, 347, 573, 879?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26 - -0.04. Let r be (1\/(-3))\/(12\/18). Let y = 0 + r. What is the closest to y in z, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2644 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 109. Let w(o) = 5*o - 2. What is the remainder when w(4) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 + 1879686.9773\nAnswer: 1879860.9773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2939 and -90809.388.\nAnswer: -90809.0941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -434.\nAnswer: -1\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 50. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 60.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Suppose -11*x + 89 = 34. Let r(j) = x*j + 73*j + 142*j + 25*j. Calculate o(r(n)).\nAnswer: 60025*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1. Let h(i) = 11 - 33 + 10*i**3 + 14 + 21*i + 10. Let w(y) = h(y) + 2*n(y). Find the second derivative of w(a) wrt a.\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 712 - -3335?\nAnswer: 3a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrttttrrrrrrtttrttt. Give prob of picking 1 t and 2 r.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3266865 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (40\/((-39200)\/(-105)))\/(16\/128*15)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 + 26 = h, -4*h - 4*m = -44. Let r(n) be the third derivative of -n**6\/120 + n**5\/12 + 7*n**4\/24 - 5*n**3\/6 - 15256*n**2. Give r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 10*h - 79. Differentiate h*x - 15*x**4 - 79*x - 36 with respect to x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 5, u: 6}. What is prob of picking 3 u and 1 f?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-120 - -1)) + 1. Find the common denominator of (-1017)\/c*6\/9 and (2\/(-30))\/((-4)\/339).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2584147847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1547 divided by -4.\nAnswer: -1547\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43857068423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979391?\nAnswer: 7, 181, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3592 times -3632?\nAnswer: -13046144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2497966*q**3 + 6687*q**2 + 40122*q. Let i(b) = -1494*b**3 - 4*b**2 - 24*b. Determine 4*h(g) + 6687*i(g).\nAnswer: 1486*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76171261 - -76171329.000058. Let y = m + -68. What is y rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 8*x**2 - 2*x - 5. Calculate l(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583352 is divided by 808?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - 149. Let u be -4 - (n - -1*(-4 - -8)). Suppose -u*t - 7 = -15. Let w(o) = 2*o - 2. Calculate w(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 8*f**2 - 4*f**2. Let b(w) be the second derivative of -w**4\/3 - w. What is b(x(o))?\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 142*o**2 - 282*o + 103. Calculate r(-69).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 202*h**2 + 110*h**2 + 105*h**2 + 43 - 7.\nAnswer: 13*h**2 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -33*s + 30*s - 5*b + b + 7, 26 = s - 4*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-6)\/(-9)). Is l smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3465392798, 3465392799, 3465392800, 3465392801, 3465392802?\nAnswer: 3465392803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**4 - 158*x + 2*x**3 + 131 - x**2 + 317*x - 160*x - 9*x**4 as s*x**4 + v*x**2 + d*x + a + u*x**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 53?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65366244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -874\nAnswer: 3\/874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 67. What is the third derivative of -12*y**5 + 3*y**4 - 15*y**2 - 3*y**4 - 9*y**f wrt y?\nAnswer: -1260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 19. What is c(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20321141042 - -1?\nAnswer: -20321141041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -279907 and -207.\nAnswer: 57940749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (-10)\/6. Suppose 6 = -5*z + a. Let h = -1\/55 + 119\/495. Is z smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(345\/(-207))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005268929 to five decimal places.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3957 - 558 = -215*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3))\/(g*g\/g**(-6))*(g**(2\/3))**(-39) assuming g is positive.\nAnswer: g**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -78, -91, -122, -183, -286?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Does 243 divide 1155222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 35*i - 1210. Determine s(35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - ((11 - -1) + -2)) + (-4 - 1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 0.2. Let d = 2.3 - o. What is the nearest to 1 in d, 3, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1551000 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 23*z + 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -23 + (-50)\/120*353. Is -169 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2140 = 1978. Let r = 103 - 145. Let v = r + t. Solve 2*h + v = 6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-492)\/(-62) + ((-5984)\/(-496) - 12). Let s(v) = v**2 - 5*v + 5. Let b(z) = 2*z**2 - 14*z + 15. Give a*s(j) - 3*b(j).\nAnswer: 2*j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27310761 a multiple of 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + 7 + (-3 - (-1 - 1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 9) to base 4\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 30 = -4*z + 6 - 30, 3435*z - 3495*z - 194 = -q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -6. What is the remainder when ((-3)\/5)\/(243\/(-12555)) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*-1)*-6 + sqrt(228))\/(sqrt(144)\/(sqrt(60)\/sqrt(5))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -3*f**5\/20 + f**4\/4 + 18*f - 3. Let d(a) be the first derivative of h(a). Solve d(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*o - 5. Suppose -o*p - 13 = -6215. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-17 - 2 - ((-16 - (2 + 4)) + 14))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000196947 to 7 decimal places.\nAnswer: 0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/24 - r**3 - r**2. Let y be b(0). Let z be (-1)\/(y\/4 - 2). Are z and 0.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791455 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m + 257. Let u be r(4). Suppose 203*z - 1566 = u*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/14005 - 56002\/126045. Let m = -8 + 8. What is the smallest value in m, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7186468 rounded to 3 decimal places?\nAnswer: 4.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 1486880*s - 138175758400 = 0. What is s?\nAnswer: -185860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(66)\/(sqrt(6)*2))**2 + (sqrt(539) + -2)**2 - (-3 + (sqrt(396) - (1 + sqrt(396)) - sqrt(396)) + -4).\nAnswer: -22*sqrt(11) + 2227\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(-o + 12*o + o + (o - 3*o + o)*(3 - 4 + 0) + 5*o - o - o).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18007\/4 + 4480. Calculate the common denominator of d and -3\/290.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - -2 - (-6 + 1). What is the second derivative of 20*y**3 + y - 21*y**g - 5*y wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909 a factor of 1433739178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*(-1 + 3). Let t be (-3)\/j - 17\/(-5). Suppose -2*h = -6*h + t. Is -3\/16 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Suppose 15 = -u*j - 57. Let w = -12 - j. Calculate the greatest common divisor of w and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -761765 (base 10) in base 15?\nAnswer: -100a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0)\/((-18)\/(-63))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {z: 2, g: 13, e: 3}.\nAnswer: 13\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -17. Let q = x - -11.03. What is q rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -319. Let f = -257.6 + l. Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771*h + 1020 = -765*h. What are the prime factors of h?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, c: 14}. What is prob of picking 4 c?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, b: 4, k: 5, h: 1, x: 1, a: 3}. Give prob of sequence kh.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (8 - 23)*(-56)\/756?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592.2822 grams to kilograms.\nAnswer: 0.5922822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 - ((-22685)\/(-455) + 98).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/9, -2, -3, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -4.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:53 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1018*s + 38376. What is r(38)?\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*j + 11, -11*j = -8*j + 5*m - 11. Let x be (2\/6)\/(40\/24). What is the third biggest value in j, -2\/7, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336212, -672418, -1008638, -1344878, -1681144, -2017442, -2353778?\nAnswer: -2690158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3176, -3316, -3456, -3596, -3736, -3876?\nAnswer: -4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.64822 centuries in months?\nAnswer: 55977.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -20*v + 25*v + 10, -10 = 5*v - 5*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 97750.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 147a92 (base 11) to base 8\nAnswer: 701543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 207 = -200. Let w be 3\/7 - (5 - (-53)\/u). Solve 5*r - 5*a - 20 = 0, 0 = 5*r + w*a - 0*a - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1781*h**4 + 0*h**2 + 185939*h**3 + 2*h - 2*h**2 - 185937*h**3 to the form j + u*h**2 + z*h**3 + y*h**4 + i*h and give y.\nAnswer: -1781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 226eae + 7?\nAnswer: 226eb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746468607 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 9. Differentiate -j + 7*o**3 + 14 - 3*o**3 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.147*-70\nAnswer: 10.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 7*f - 2*f - 6, 1 = 5*m - 4*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*d + 538*d - 30900 = -128*d + 195*d for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:48 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 9 - 15. Suppose d + 3*r - 1 = 0, -3*d + 29 = 2*r - v*r. Let o = -7 + d. Is o less than 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2, -224, -3, 3, 6, 0.07 in decreasing order.\nAnswer: 6, 3, 2\/13, 0.07, -2, -3, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2044 + 1706 - 3991*j - 159*j**3 - 1934*j + 3*j**4 + 2331*j**2.\nAnswer: 3*(j - 25)**2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 30*w - 8*w - 20*w + 8*w**2 - 2*w. Let p(z) = 60*z. Calculate p(s(t)).\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 3*r**2 + 43*r + 6. Give f(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2797 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1418*u + 5455*u + 7589*u + 2 as x + m*u and give m.\nAnswer: 11626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1325 + -869. Is 42 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-12))\/1*-3. Let i be 2\/5 + 9\/15. Solve 2*a - t*j = -0*a + 5, 0 = 3*a + j + i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -909?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0 + 4*o**2 + 0*o - 1\/100*o**5 - 2\/5*o**3 + 1\/5*o**4 - 3\/200*o**6. Factor m(i).\nAnswer: -3*(i - 1)*(i + 2)*(3*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 1, 3, 7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/125)\/(4\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 90. Suppose g*q - 42*q = 0. Let l be -3 + 138\/21 + -3. Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*b + 435*b = 4*q + 12, 12 = 3*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 + 11*b**3\/3 + 7*b**2\/2 + 5*b + 18. Let p be j(-12). What is p rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 5) to base 15.\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (4 - -6) - 5) + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2, -3*k + 32*x + 1253 = 30*x. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/10*(-65)\/39\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046928111 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/4 - 2*b**3 - b**2 - 6*b - 4. What are the prime factors of k(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a kilometer in centimeters?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/2 - 3*j\/4 + 1\/4 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -212140625\nAnswer: 1\/42428125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2100 and -97\/200.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*d + 4*d. Solve 3*u + 14 = 2*l, 2*l + 4*u + d = 3*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c - 15. Let o be w(-2). Let i(t) = -t**3 - t**2 - t - 1. Let h(v) = 4*v**3 + 3*v**2 + 3. Give o*i(s) + h(s).\nAnswer: s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3840) + -4*(5*sqrt(3840) - sqrt(3840))))\/(5*sqrt(768) + (sqrt(108)*1 - sqrt(12))).\nAnswer: 80*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3 - 5)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*h + 7*h**5 + 53*h + (3907*h**4 - 3218*h**4 - 3 + 2)*(-2*h - 3*h + 4*h).\nAnswer: -682*h**5 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-8)*s)*s*s\/(s*s\/s**(-7)*s)*s**(-1\/11)*(s\/(s\/(s\/((s\/(s\/s**19)*s)\/s))))\/s assuming s is positive.\nAnswer: s**(-210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1656 - 1694) + -3 + 39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117035, 233996, 350957, 467918, 584879?\nAnswer: 701840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5308.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2. Let h(t) = -t + 123954. What is h(p(b))?\nAnswer: b**2 + 123954","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Are 328 and 328 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 q when three letters picked without replacement from jkqojjjjqoojovoj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*1\/(-4))\/((-2)\/(-1148)). Let w = q + 143. Let o be 156\/w - (1 - (-4)\/(-3)). Put 2\/11, 0.1, -1\/2, o in decreasing order.\nAnswer: 2\/11, 0.1, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 4*p - 3*p)*(-2*p**2 + 0 + 0) + 12*p**3 + 17*p**3 - 13*p**3 - p**3 + 4*p**3 - 7*p**3 as c*p**3 + a*p**2 + y + w*p and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1473, -681, -4269, -9291?\nAnswer: -15747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(30)\/(sqrt(10)*-3 + sqrt(10)) + -4)**2.\nAnswer: 5*sqrt(3) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003320229 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 444209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Suppose -1 = 3*a - 7. Let n(u) = -18*u**a + 56 - 56. What is l(n(o))?\nAnswer: 324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010101001 (base 2) to base 13.\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818223778?\nAnswer: 2, 139, 1097, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*o - 1146 - 1144 = -790. What is the greatest common factor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/20*24\/36. Is p equal to 1.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.3, -1\/3, -0.4, -989 in decreasing order.\nAnswer: 7.3, -1\/3, -0.4, -989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -31 + (2 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.50717352 rounded to 1 decimal place?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + (-3 + sqrt(19) - sqrt(19))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 5.2. Let v = w - -5.1. Let p = v + 0.9. Sort 5, -4, p in increasing order.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4818 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 691*c - 7731. What is x(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 135*z**2 + 51*z - 17. Let q(y) = -45*y**2 - 17*y + 6. Let d(a) = -6*n(a) - 17*q(a). Find the second derivative of d(c) wrt c.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 557*t**2 - 2*t + 2. Let w = -4 + 4. Let s be (w - (-1)\/(-2))*-2. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2476 - 1310. Is 64 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-294)\/(-102) + 6\/51. Factor -1\/3*w - 5\/3*w**j - 8\/3*w**2 + 2\/3.\nAnswer: -(w + 1)**2*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 215 + -2149\/10. Put r, -5, -0.5, 0.2 in decreasing order.\nAnswer: 0.2, r, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -z + 14, -2*z - 12*d = -17*d + 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 1511*x**5\/60 + 2134*x**2. Let b(c) = 6*c. Determine b(w(z)).\nAnswer: 9066*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(14 - 34))\/(0 + 11).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4344 and -4370 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 - 54*q**2 + 909*q\/2 + 510.\nAnswer: 3*(q - 20)*(q - 17)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4.72?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 288.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c*p**4 - 202*c*p**3 + 3*c*p**2 + 297*c - 2*p**4 - 9*p**3 - 4*p**2 wrt p?\nAnswer: -144*c*p - 1212*c - 48*p - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8312 times 0.0435?\nAnswer: -0.1231572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 65349 in descending order.\nAnswer: 65349, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 30*i + 20. Let r(w) = -6*w - 4. Let n(k) = 4*h(k) + 22*r(k). Let n(o) = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 29*u - 33*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 1. Let v(a) = -a**2 - 6*a + 8. Let s be v(q). Suppose 7*g + 5*y - 9 = 5*g, 12 = 4*g + 4*y. Solve 2*c + 37 - 10 = 5*d, -g*d - 2*c + s = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:09 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**5\/60 - z**4\/16 + z**3\/12 - 4*z**2. Solve g(k) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18182*b - 16 = -18174*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (1 - 17) + (-15 - -18) + 23?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 125350655 plus -0.16?\nAnswer: 125350654.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - -12) + (31 - (13 + -10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 9*a + 33 = 0. Suppose -1 = 2*n + a. Let y(j) = -j**2 - 7*j. Calculate y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/(-1)*(-16)\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124986 is divided by 61537.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.49?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -22 + 1705\/50 - 2\/20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4343 + -4332. What is the remainder when 11910 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 2*u**2 + 11*u - 9. Calculate the remainder when l(-6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 67, -5, 0.4, 0.385, 2\/47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 3*d + 3*d)*(-1 - 1 + 3) + (-44 + 44 - 16*d)*(5 - 6 - 2) to p*d + m and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m - 184. Let v be t(-40). Suppose 5*z + 16 = v*g - 14*g, -3*z - 4*g = -6. Sort z, -6, 3 in ascending order.\nAnswer: -6, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 57807\nAnswer: -231228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -952\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*(4 + sqrt(300) + (-5*sqrt(300) - sqrt(300))))**2*3)*2.\nAnswer: -21600*sqrt(3) + 405872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 11:16 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -106*d**2 - 5*d + 5. Let y(q) = -764*q**2 - 36*q + 36. Let m(g) = -36*i(g) + 5*y(g). Let v(w) = -3*w**2 - 86. Give v(m(u)).\nAnswer: -48*u**4 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 116?\nAnswer: -15\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2887232 is divided by 5030.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-69)*7\/(-35)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*o**3 - 26*o**3 + 3837*o**2 - 1920*o**2 - 1917*o**2 - 1.\nAnswer: 116*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331293132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375893.2 nanoseconds to milliseconds.\nAnswer: 0.3758932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35301757.\nAnswer: 23, 66733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/2 - 24\/8. Let s = 7.98 - -0.02. Let m = s + -12. What is the nearest to 1 in g, -3\/7, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800) + (sqrt(1800) - -1*(-2*sqrt(1800) + sqrt(1800))) - sqrt(1800) - sqrt(1800)) + sqrt(1800))\/((-1*sqrt(108)\/sqrt(6))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r - 40. Suppose 0*i + 20 = -5*i. Let z be w(i). Calculate the highest common factor of 120 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*o - 12 = 17, 3*b - 24 = 3*o. Let i = b + 27. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 499 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23983 and 0.624.\nAnswer: 0.14965392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1507, -1550, -1613, -1690, -1775, -1862?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 2, 1 in decreasing order.\nAnswer: 2, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = c - 0. Let u(i) = i**3 - 6*i**2 + 2*i + 2. What is the remainder when 40 is divided by u(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4057*t - 2. Let d(i) = i - 379. What is d(a(h))?\nAnswer: -4057*h - 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -188b519?\nAnswer: 188b512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:29 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b - 25*b - 345*b - 1014 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 7:12 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -119\/11?\nAnswer: -119\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*f = -5*f - 20, -5*p - 4*f = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7299 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:13 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/(35\/(-1575))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 286 + -169. Let r be 2 - -5*(2 + -14). Let t = r - -88. Calculate the remainder when b is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 70*i**2 + 533*i + 121. Determine j(77).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n + 30*n - 45 = -25*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(135)*2 - sqrt(15) - -4*sqrt(15)*-1)\/((-6*(sqrt(360)*1 - sqrt(360) - sqrt(360)) + sqrt(360))\/sqrt(8)))**2.\nAnswer: 4\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6*(0 + 0)\/(-1). Let m(q) be the first derivative of -2 - q**3 + 0*q + c*q**2 - 3\/4*q**4. What is the third derivative of m(b) wrt b?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1)**(-14)\/(m**0\/m**(2\/5)) assuming m is positive.\nAnswer: m**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(5) - (sqrt(5) + sqrt(45))) + -1)**2.\nAnswer: 6*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-6))\/(2\/(-4)). Suppose 0*s + 2*s = b*v - 62, 2*s + 86 = 4*v. Suppose -2*k + 19 = 1. Calculate the remainder when v is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 - (-7 + (-18 + 15 - -21))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g - 44*g - 17 = -5*q + q, 2*q = 10*g - 44 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(59*s**4 + 40*s**4 - 34*s**4).\nAnswer: 130*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 17*y + 27*y + 53. What is the nearest to y in 21\/26, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 1, v: 2, b: 3, o: 2, x: 3}. What is prob of sequence bv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 4170?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in -1\/2, -2\/3, -24?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 248487 divided by 82829?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5))**(1\/25) assuming i is positive.\nAnswer: i**(1\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y - 5. Let f be 3 + (-3 + 4)*-2. Let i(d) be the second derivative of d**3\/6 + d**2\/2 - d. Give f*o(n) + 6*i(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 332700 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 22 + 6 = 0. Let t be 11\/4 + h\/16. What is the closest to 1 in 0.3, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26836722 and 639?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjlljeljxlllpee. What is prob of picking 3 j and 1 l?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.2\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/28, -0.5?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*r - 750 = -l + 2*l + l, -68 + 19 = -5*l - 2*r for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*l + 1071 + 192, -1238 = -3*s - 2*l. What is the smallest common multiple of 1 and s?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 275 - 6*y**2 - 12*y - 3*y**2 - 276. Let q be m(-1). Solve q*h = 4*f - h - 16, 5*h = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/1)\/(-9 - -8) - 1. Let g be (0 - (-22)\/8)\/(1\/d). Suppose -g*u + 25 + 8 = 0. Sort 0, u, 1, -5 in descending order.\nAnswer: u, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46554 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20271381149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10593, -10595, -10597?\n\"Answer: -2*m - 10591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 5839 = -1262. Let r = 343 + c. List the prime factors of r.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.4. Let a = b + -2.3. Let o = a + 1.90068. What is o rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -63, -0.1, 3, 15, 0.5.\nAnswer: -63, -25, -0.1, 0.5, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*c**2*q - 107*c**2 + 4*c*q - 11*c - 5*q wrt c.\nAnswer: -76*q - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, -62, 4013, -6.\nAnswer: -62, -6, -5, -3, 2, 4013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3\/4, -1\/6, 2\/3 in increasing order.\nAnswer: -5, -3, -1\/6, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79254 and 152181.\nAnswer: 36219078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/15 - (-4)\/(-10). Let k(j) = -2*j + 13*j**2 + q*j. Let r(u) be the second derivative of u**4\/12 + 29*u. Determine k(r(p)).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 6*v**2 - 7*v - 2. Let q be o(-5). Let j(b) = -1 - 9 + b - 4*b + 4*b. Let x be j(q). Which is smaller: -4 or x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 20231523?\nAnswer: -20231513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -513*a**4\/4 + a**2\/2 - 509*a + 773. Find the first derivative of w(l) wrt l.\nAnswer: -1539*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(468)*1*-4 - (1 + (sqrt(468) - sqrt(468)*-3)**2 + sqrt(468))) + -2*((5 + sqrt(468))**2 + -5))*3.\nAnswer: -25404 - 450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465599386.\nAnswer: 2, 7, 109, 305111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*x + 4 = 0, 2*t + 5*x - 2*x = -13. Let m be t + (9\/(-3))\/3. Let o(g) = -5*g + 2 + 8*g - 1. Calculate o(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euf when three letters picked without replacement from uxxucxxeuxexxufxx.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*c**3*v*z**2 - 25276*c**3*v + c**2*v*z**2 + 3*c**2*v*z - 45*c**2*v + 2*c**2*z**2 + 43*z**2 - z wrt c?\nAnswer: 342*v*z**2 - 151656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1609*d**3*v**3 + 2*d**3*v**2 - 5*d*v**2 + 16*v**2 wrt v?\nAnswer: 9654*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 2*s - 1020. Suppose -3*n - 212 - 52 = 0. Let w = n + 132. Calculate the remainder when s is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 - 156. What are the prime factors of ((-1047)\/12)\/((-11)\/q)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -38*681*(-8)\/48 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*d + 7*d + 3960. List the prime factors of d.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1980196 and 162178.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 20, 5*l + 95 = n - 80. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -6, 5*m - 6 = -h + 22. Calculate the lowest common multiple of m and (-4 - -2 - -6)*19\/2.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f**2 + 68*f - 8. Let o be q(-6). Let h = 658 - 348. What is the greatest common factor of h and o?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 28*b**2 - 6*b - 7. Let k be d(-4). Suppose 14*v + k = 19*v. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 3*j + 14. Let i be f(6). Let o = 94 + 54. Let v = i + o. Calculate the greatest common divisor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3506 + -3502. Solve -5*i + 4*b - 5 = 0, -18*b + 13*b + g = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551420 rounded to the nearest 10000?\nAnswer: -1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*(5 + -13) + 29\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/(-9))\/7*15\/(-10)*4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-6 + 10\/2). Let a(n) = -18*n + n**i - 3 - 2*n - 2 + 17*n. What is a(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/196, -0.1, -42?\nAnswer: 3\/196","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**4\/24 + b**3\/6 + 16*b**2. Calculate the remainder when 5 is divided by t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/30 + f**5\/60 + f**4\/12 + f**3\/6 - 93*f**2 - 2*f. Suppose 3*c + 0 = -3. Calculate r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -24, 9, -4, 4 in decreasing order.\nAnswer: 9, 4, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 1, z: 1, m: 1, p: 1}. What is prob of sequence eez?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -26. Suppose a = -4*a + 4*c + z, -3*c + 20 = 5*a. Solve -2 = 2*i, 3*h + 9 = -a*i - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -293*j - 588. Let b be a(-2). Let f(r) = r**2 + 3*r + 3. Calculate f(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5 - 116*s**4 - 424*s**3 - 616*s**2 - 404*s - 100 = 0?\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 9:29 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 838861 and 547267.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2 = j - 6, j - 2*q = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -171846 or -171848?\nAnswer: -171848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**2\/6 + 2370745*r\/3 + 52154575\/2 = 0?\nAnswer: -948265, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -16*(-8)\/((-2)\/(-2)) and 4?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*c - 24. Calculate the smallest common multiple of c and -90*(-2 - -3)*(3 - 17\/5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32307, -64774, -97241, -129708, -162175?\nAnswer: -194642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 7) in base 3?\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 798 and 836.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(-6\/5)*o)\/o*o**28*o*o*o*o*o**17*(o\/(o**(-6)\/o))\/o*o assuming o is positive.\nAnswer: o**(284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l + 7288*l + 121786 = -104700 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-19 + 34 + 4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2 = -16. Suppose 0 = -5*z - 0*z + 5, 3*z - 9 = c*g. Calculate the common denominator of (-130)\/3*g*(-6)\/16 and 43\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f - 6. Calculate l(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4 - 3. Let p = h + 12. What is the second derivative of -2*b**p + b**5 - b + 2*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*u - 82*u - 81*u)*(4 - 3 + 0) + (u - u - u)*(-4 - 3 - 5).\nAnswer: -192*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/480 and -199\/15180.\nAnswer: 121440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1911+0.05\nAnswer: 1911.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (-1 - 2 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.50781 - -0.511. What is k rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1 - (0 - 3). What is the tens digit of k*(16\/(-5))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/5 - -3\/10. Suppose 57 - 37 = 4*w. Sort k, w, -0.5 in descending order.\nAnswer: w, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 - -3464476384.\nAnswer: 3464476393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-3)\/32)*(-437)\/874?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -22*y + 5. Suppose 106 = -3*d + 100. Let m(o) = -153*o + 36. Let x(r) = d*m(r) + 15*h(r). Find the first derivative of x(j) wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9043202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 + d + 9. Let z be n(-5). Suppose 3*k + z*c - 1444 = 0, 794 = 5*k - 5*c - 1601. Suppose -3*f + k = 2*f. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(6\/7)*p))\/(p\/(p*p**(-2)*p*p))*p**(-1\/2)*p*p*p*(p*p*p*p*p*p*((p\/p**(-2\/17))\/p)\/p)\/p)**(-48) assuming p is positive.\nAnswer: p**(-32904\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -139 - -48?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15186071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4\/12 + (-214)\/(-6) and (-1 - 17\/(-2))*(-520)\/(-1950).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 3*v - 30. Let a(d) = 1571*d**v - 6*d**2 + 4 + 0 - 1572*d**3 - 4*d. Determine a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316707*n**3 - 455190*n?\nAnswer: 1900242*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 4*r)*(-11*r**2 + 12*r**2 - 10*r**2) + (0*r**3 + 3*r**3 - r**3)*(0 - 1 + 0).\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -2*j - 4*x - 23, 2*x = 3*j + 29 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*v - 3*t - 22, 9 = 3*v - 3*t. Let h(d) = -5*d + 28. Give h(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkqkkqkqk. What is prob of picking 3 k?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -873\/7 + 125. Let s = -0.3 - 0.05. Let k = 0.05 - s. Which is the third biggest value? (a) k (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901512901.\nAnswer: 11, 13, 27283307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/22550 and -8 - (-984)\/42 - 17?\nAnswer: 157850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 40 = 5*q - 244, 2*q - 143 = -x. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(324) + -3*(1 + sqrt(2)).\nAnswer: -26*sqrt(2)\/9 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -870908, -3483683, -7838308, -13934783?\nAnswer: -21773108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 8 = 0. Let l be q\/(-9) + (-664)\/(-72). Solve 5*w = 4*h + l, 0*w = -2*w + 5*h - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-16)\/(-880))\/(2\/22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 39945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (883*y**3 + 455*y**3 + 373*y**3)*(-2*y**2 - 3*y**2 + 6*y**2).\nAnswer: 1711*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4 = -2*q. Let r = -25 + 31. Sort r, -4, q.\nAnswer: -4, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -d - 55, -3*f + 20 = -d. Calculate the greatest common divisor of f and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 1113 - 5467 = 0. Calculate the remainder when b is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m - 3*m)*(m - m + 4*m) - m + 3*m - 1 - 4*m - m**2.\nAnswer: -9*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9495 + -47659\/5. Let i = 37 + y. Factor -1\/5*x + 0 - i*x**2.\nAnswer: -x*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15624)\/1848*(-30)\/310?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 819*x**2 - 75368*x + 83. Calculate u(92).\nAnswer: -1757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u - 2*u + 3*u)*(3 - 2 + 5 + (-4 + 0 - 13)*(-3 + 6 + 0)) in the form r*u + t and give r.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-34 - -2 - -30)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101620676.\nAnswer: 2, 139, 193, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 126?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4698 + 4851. Suppose a + 2*z - 55 = 0, 3*a - 3*z = -2*z + 151. Calculate the highest common divisor of a and o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Suppose -s*y - 3*y + 15 = 0. Let j be 123\/(-82)*(-2)\/(-2*y). Which is the third biggest value? (a) 3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -138\/5, 5\/3, -17, 4?\nAnswer: -138\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (1 + 4 - 3)*(3 - 5 + 0))*(1039 - 1039 - 112*o)*(3*o + 3*o - 3*o).\nAnswer: 672*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = 5*k - 16, 8 = k - 5*p. Solve -4*z - f - 11 = 0, 2*z + 2*f = -k*f - 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1 - -4) + (39 - 51)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 3:27 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -42.72?\nAnswer: 37.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2551426 years in months?\nAnswer: 3.0617112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3\/2)*-150. Let x = -2389 - -2399. Suppose -5*t = -5*o + w, -2*t + x + 0 = 2*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: Let n = 31.004141 - -0.016859. Let c = 0.021 - n. Let i = -30.99999954 - c. What is i rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -730, -1462, -2194, -2926, -3658?\n\"Answer: -732*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 plus -14084391?\nAnswer: -14084348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/10854)\/((-24)\/18))\/((-3)\/(-9))?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 53*g**2 + 1114*g - 10. Calculate z(-21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*j - 38 = 65*j. Let y be (4\/12)\/((-1)\/(-12)). Find the first derivative of 6*p**j + 11 + 39*p**y + 1 - 6*p**2 wrt p.\nAnswer: 156*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5309770965 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 6*a**2 - 5*a + 3. Let n(g) = -g**2. Let h(k) = -n(k) - s(k). Let w(u) = -4*u**3 - 10*u**2 - 7*u + 4. Give -7*h(c) - 5*w(c).\nAnswer: -c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/5*(-4)\/(-8)*50. Let l be (-1784)\/a + 12\/(-15). Let q be l\/(-24) + (-6)\/8. Solve q*x + 0*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*i - 80, -15 = i + 2*i. Let b = 40 + h. Suppose b = u + 5. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*b + 15*b. Suppose -b*r - 1376 = 2*r. Let m = 530 + r. List the prime factors of m.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031602832 to 4 dps.\nAnswer: -0.0316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/5 + 8*i**4\/3 + 8*i**3 + 24*i + 1. Factor w(l).\nAnswer: 4*l*(l + 2)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**3 + 63*l + 24*l**3 + 109*l + 108*l - 52*l**3 - 280*l.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 0*n**4 + 2*n**4 - n**4 + (4*n**3 - 3*n**3 + 0*n**3)*(3*n + n - 3*n).\nAnswer: 2*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -11. Let a(p) = -p**3 - 7*p**2 - 5*p + 3. Let v be a(-6). Let f = v + m. Solve 0 = 4*l + 2*r + 16, -f*r + 8 = -2*l - 0*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -209*g**4 + 2574*g**5 - 40*g - 2553*g**5 + 164*g**2 - 33*g**3 + 7*g**3 = 0. Calculate g.\nAnswer: -1, 0, 2\/7, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22385396, 89541522, 201468390, 358165994, 559634328?\nAnswer: 805873386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1913542287 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s + 51 - 20 + 97 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -740968 and -108.\nAnswer: -741076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 31, 62, 103, 154?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s - 3*s)*(1 - 3 - 4)*(37*s + 44*s - 9*s)*(-2*s**3 - s**2 + s**2).\nAnswer: -864*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 2.9 (c) 3 (d) -1736 (e) -0.5 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -b - x, 9*x - 4*x = 3*b - 18. Solve -14 = -4*v + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, w: 1}. Give prob of picking 1 w and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-1515423\nAnswer: -1515422.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.09. Put 0.2, h, -0.1 in decreasing order.\nAnswer: 0.2, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -2, 10528, -20, 3 in increasing order.\nAnswer: -86, -20, -2, 3, 10528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 5*r**2 + 3*r - 7. Let z be i(-6). Let n = -3 + z. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let w = n + 2\/3. Let h = 36.796 - 32.796. Put h, -3, w in decreasing order.\nAnswer: h, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 + 4. Let l be b(3). What is the remainder when l + 4\/1 - -1 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 67) + -44 + 58.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2120220 (base 4) to base 8\nAnswer: -23050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = 2*x + 421201 - 421109, -3*x + 42 = -5*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -150 * 0.15618.\nAnswer: -23.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5aba9 (base 12) to base 9\nAnswer: -206243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 31*i**2 - 26*i**2)*(-4*i**2 + 13 - 13) to l*i + h*i**3 + v*i**4 + o*i**2 + g and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 1667*k**5\/30 - 47*k**4\/24 + 16*k**3\/3 - 2*k**2 - 20*k - 28. What is the second derivative of w(o) wrt o?\nAnswer: 6668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1772 is divided by 199.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191 + 200. Calculate the greatest common factor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyfll. What is prob of picking 2 f and 1 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h - 6*h = 0. Which is the smallest value? (a) 2\/5 (b) -1.7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 30*c + 17. Let n be z(-14). Suppose -4*j - 58 = -i + n, 2*i - 607 = 5*j. List the prime factors of i.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13588855 less than -6.5?\nAnswer: 13588848.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3 + (0 + 1 + 1)*(-15 + 13 + 35) - 4 + 2 + 0)*(2*f + 0 + 0 - 1 + 2*f + 1 + (7 - 3 - 3)*(2*f - 1 + 1) + 0*f - f + 0*f).\nAnswer: 325*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - (-3 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f - 1 - 1 + 5*f)*(-157 - 184 + 118) in the form y + z*f and give z.\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 5. Let h be s(4). Suppose -3*n + 1 + 5 = 0. Solve -n = -r - h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 8403194*q**2 + 17653425753600*q + 35306817894432.\nAnswer: (q + 2)*(q + 4201596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11))**50 assuming t is positive.\nAnswer: t**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169.624 - -0.376. Let s = 136.4 - w. What is s rounded to 0 decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58135043, 116270078, 174405113, 232540148, 290675183, 348810218?\n\"Answer: 58135035*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12746 - 12770. Which is the third biggest value? (a) -7 (b) 1 (c) h (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -339\/2 or -171?\nAnswer: -339\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5005 - -5011. Let x(u) = -2*u**3 + 8*u + 4. Let k(i) = 2*i**3 - 9*i - 5. Calculate s*k(m) + 7*x(m).\nAnswer: -2*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7532*i**2 - 20*i - 8. Let a be r(18). What is a rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 10*x**2 + x + 6. Let h be d(-2). Calculate the highest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 14 = 4. Let v(p) = -5*p + 7. Let w(s) = s - 1. Let b = 10 - 14. Determine b*w(j) + d*v(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = -8*g - 547. Let k = g + 127. Find the second derivative of k*p + 9*p**3 - 29*p + 24*p wrt p.\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 3*b**2 + b - 4*b**2 - 3*b as m*b**2 + q*b + k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -929.13 - -1.\nAnswer: -928.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*a = 20, 4*a = -2*j - 0*a + 8. Suppose z - j = 2. Suppose z*s - 3*s = 10. Let y(r) = r**2 - 2*r + 1. What is y(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 - 15*y + 9. Suppose 0 = 5*z - d + 4*d + 5, -5*d = 25. Let q(i) = -1 + 4*i**2 - z*i**2 + 8*i - 2 - 2. What is -6*j(p) - 11*q(p)?\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -2 + -128 + 116.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**4 + 8*u**3 - 2*u**2 + 4*u - 7. Let h(n) = 3*n**4 - 9*n**3 + 3*n**2 - 5*n + 8. Let f(j) = 6*h(j) + 7*v(j). Suppose f(x) = 0. Calculate x.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-15) + 3 - 4\/(-10). Let k(q) = 1882*q + 4. Let c be k(t). Is (-1)\/(-5) + c\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19332 (base 10) to base 6\nAnswer: 225300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106048 (base 9) to base 6\nAnswer: 1205455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 497532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1483*k**2 + 17 + 1604*k**2 - 3084*k**2.\nAnswer: 3*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2653290 and 1944.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s. Let f(n) = -90*n**2 + 27. Let m(q) = 13*q**2 - 4. Let a(j) = -4*f(j) - 27*m(j). Determine o(a(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*2*2.\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 41 = 5*o, -2*o + 3*b - 22 = 0. Let n(m) be the second derivative of m**5\/20 + m**4\/3 - m**3 - 3*m**2\/2 - 2*m + 5. Determine n(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**5\/35 + 37*v**4\/42 + 7*v**3\/3 - 34*v**2\/7 + 5*v - 10. Factor z(u).\nAnswer: 2*(u + 2)*(u + 17)*(2*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -180*v - 157. Determine y(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-69))\/((-10)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76027\/22 + -3456. Sort -117, 1, g in ascending order.\nAnswer: -117, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 53855189 = -2*f, 5*u + 134637970 = f + 4*f. Let m = f - 12827595. What is m rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 14 - 2*b + 0*b)*(b**2 - 4*b**2 + 2*b**2) as u*b**2 + j*b**3 + g*b + y and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4510*s**3 - 42267725*s**2 + 46860*s.\nAnswer: 5*s*(s - 9372)*(902*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 765308264 a multiple of 3125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 3:34 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - ((-10 - -6) + 9 + -16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, 7 in decreasing order.\nAnswer: 7, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2. Let w = 955 - 336. Let i(b) = -7 + 618*b - w*b + 7. What is x(i(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3 - 12*a**2 - 2161*a + 174007.\nAnswer: -6*a**2 - 24*a - 2161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) + 34\/10. Suppose -k*z - 1 = 17. Is (75 - z) + (-4)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*p + 27. Let a = -19 - p. Suppose 5*z = -r - a*r + 90, -z - r + 20 = 0. Calculate the greatest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**7)\/(c*c**3*c))\/((c**0\/c)\/c)**(2\/55)*(c**(-2\/3))**(-21)*c\/(c**(-7)*c)*c*c*c**4 assuming c is positive.\nAnswer: c**(1654\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 - 4. Let q be 6\/(-27) - (-17)\/(-45). Let j = -59 + 235\/4. Which is the closest to -0.4? (a) p (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:37 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 866258335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b**2 - 8*b - 8. Let k be d(-1). Solve 30 = u + k*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (136\/(-16) - -14). What is the closest to 1 in -385, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/5, 292 in descending order.\nAnswer: 292, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzjxpzlppjlpppjpoxx. Give prob of picking 1 z, 1 l, 1 o, and 1 p.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = -0*u + 10*u. Let m = -3 + u. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1078*q + 4136*q - 289751 + 289751.\nAnswer: 5214*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198411 (base 11) to base 3.\nAnswer: 120102221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1668323 weeks in microseconds?\nAnswer: 100900175040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*t - 240, 0*g + 2*g - 240 = 5*t. Let y = -44 - t. Solve 0 = -5*b + 2*z + 12, b = -4*b - y*z + 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10210020 (base 3) to base 6.\nAnswer: -20440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 655286 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9))**(-8\/5)*(((w*w**(-1))\/w*w)\/w)**(1\/38))**(-4\/15) assuming w is positive.\nAnswer: w**(-1126\/12825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 461 + -456. Sort s, -1\/11, 1\/4, -6.\nAnswer: -6, -1\/11, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clcassclsxs. What is prob of picking 1 x and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 = 41*f + 15*f. Solve 31 = -5*d + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019358 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(0 + 0 - q)*(q + 0*q - 4*q + (-5*q + 0*q + 3*q)*(1 - 6 + 3)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-6)\/4) - -1. Let z be (1\/2)\/(d\/6). Let v = z - -6. Calculate the lowest common multiple of v and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12136405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 10 = -459*p + 456*p, -4*s - 5 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 - 2*v + 2. Let u be o(-2). Let b(j) = -j**3 + j**2 - j + 17. Let d be b(0). Let f = u + d. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2cb07 (base 15) to base 7.\nAnswer: 1140334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*s**2 - 36*f*s + 44744923*f - 41*s**2 + 1895*s wrt s.\nAnswer: 4*f*s - 36*f - 82*s + 1895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-14)*5*(-12)\/90?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.52716 and -2.76 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9800018257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (122\/(-854))\/(81\/280 - (1 - 25\/40))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(110\/209) - (-3)\/(-6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/14*10528\/(-14664).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -11964\/5, -1\/2, 0.2?\nAnswer: -11964\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:37 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, -7, -5.\nAnswer: -7, -5, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -3*g - 354. Suppose 2*t + 0*t + 4*w = g, 2*t - 116 = -5*w. Suppose t = l - 16. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7691 + 15044 - 11793)*(0*v - 2*v**2 + 0*v) to the form i*v + z + d*v**2 and give d.\nAnswer: 8880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 2:11 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n - 5. Suppose -34*k + 933 - 81 = -32. Calculate the greatest common divisor of n and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*112\/1260.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -11, -1, 1, 5, -31 in descending order.\nAnswer: 213, 5, 1, -1, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -183, -9, -5, 5 in increasing order.\nAnswer: -183, -9, -5, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 69468*j.\nAnswer: 2*j*(j - 34734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 414388595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Let d = k + -18. Let w = 27 + d. What is the greatest common divisor of w and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190193 + -190187. Let v(w) = -w**2 + 8*w - 5. Let g be v(7). What is the remainder when n is divided by 2*g + (-1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Suppose 0 = j*t - 2 - 4. Factor n**4 - 3*n**4 + t*n**4.\nAnswer: n**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/4 - 3*v**2\/2 + 4*v + 2. Let u(a) = -5*a + 38. Let k be u(7). Let q(y) = 3*y**2 + 4. Give k*q(r) + 4*h(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 10 - (9 - 5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r**2 + 15*r - 15*r)*(-3*r**2 + 207 - 207) + 2*r**4 - r**4 - 3*r**4 + (3*r - 3*r + r**2)*(-2*r**2 + r**2 - r**2).\nAnswer: -76*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92220\/(-51675) + 14\/10?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14835578833+2\nAnswer: -14835578831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 1 - 1)*(48 + 17*b - 48) - 4 + 4 - 2*b**3 as v*b**3 + c*b + y*b**2 + u and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87558 is divided by 14498.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9*x - 7752. Let n = 648 + x. What is the least common multiple of n and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/172 and -6\/23.\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 7*n**2 - 10*n + 8. Let h be r(-9). Let f be ((-301566)\/h)\/((-21)\/(-14)). Let g = -3143 + f. Find the common denominator of -53\/8 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 1, o: 1, z: 4, y: 6, g: 2}. Give prob of sequence oz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:29 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7004 + p - p**3 - 12*p**2 - 6996 + 0*p. Determine x(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 4*j - 4*j)*(4*j + j - 3*j) - 2 + 1795*j - 1799*j + 3 - 39*j**2 to f + h*j**2 + k*j and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*b - 6 = b, 4*m - 4*b + 12 = 0. Suppose -4*l + 11*p - 13*p + 20 = m, 2*l + 2 = 5*p. Solve 0 = 3*c - 6*c - q + 12, -c + l = 3*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223777776 to the power of 1\/2, to the nearest integer?\nAnswer: 14959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/116225568 and -71\/49968.\nAnswer: 116225568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -185 + 5a986?\nAnswer: 5a801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 338, 538, 776, 1064, 1414?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10974 by -3.\nAnswer: 3658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-138) + (-2)\/3*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lblp when four letters picked without replacement from pbblllllbblblbl.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5089*h**5 - h**3*r**3 - 2*h**2*r**3 - 5*h**2*r - 539*h - 4*r**3 wrt h.\nAnswer: 305340*h**2 - 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*u = 197 - 206, -s - u = -7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34559449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11554 + 2?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-5) + (49 - 49). Let y = -0.1 + -0.1. Which is the third biggest value? (a) y (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -85*s**2. Let h(d) = -6*d**2. Let p(c) = 55*h(c) - 4*o(c). Let v(l) = -4*l. What is v(p(i))?\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*f**4 + 102*f**3 + 14 - 102*f**3 wrt f?\nAnswer: -136*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0533 - -9.6667. Round g to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765856 and 1315?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 552 = 102. What is the remainder when o is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 22349584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9 times 20.2?\nAnswer: 179.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (565\/1155*7)\/((-2)\/(-378)). Let v = u + -647. Factor 4\/11*w + 0 - v*w**2 - 2\/11*w**3.\nAnswer: -2*w*(w - 1)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-98))\/((-6)\/(-14))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3688775 is divided by 364?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808 = -4*o + 40. Let j = o + -145. Is 49 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 4:45 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484273 is divided by 518?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 19. Let n be (-4)\/(3\/1 - y). What is v in -1\/3 - 1\/3*v**2 - n*v = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529330098 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*c - 88 = 452*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, r: 8, y: 4}. What is prob of sequence yara?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 2) + 4 + 3 + 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 277. Let p(a) = -4*a**2. Give o(p(m)).\nAnswer: 32*m**4 + 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445 = 8*d + 85. Solve -i + 4*m - 4 = 17, -5*i + 5*m = d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1482 and 1144.\nAnswer: 65208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000726005 rounded to 5 decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -9 + (-4 + 7 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*n + 13, 2*n + 34 = 5*i - 4. Let d(t) = 5*t**2 - 3*t - 3. Is d(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 215*z**2 + 9718*z - 4799. What is k(-150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/50792 and 71\/10.\nAnswer: 253960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 1 + (335 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 2*v + 3*v**2 + 1 - 7*v**2 + 3*v**2. Let b be -6*-2*(-3)\/(-18). Let l(y) = 4 - 3 - y - 1. Calculate b*l(x) - 2*z(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -54*a**2 - 276*a - 4. What is k(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1620) + -4)**2 + 3 - -3*(3*sqrt(1620) + -1)**2) + 4.\nAnswer: -576*sqrt(5) + 45419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**11*(g**(10\/3)*g)\/g)\/(g**(4\/5))**(-8\/11))**(-28))**(18\/11) assuming g is positive.\nAnswer: g**(-441168\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*z**3 + 0 + 0*z + 26\/3*z**4 + 0*z**2.\nAnswer: 2*z**3*(13*z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 15)\/(1 + 0). What is the remainder when 640\/15 - (-3)\/h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 29 - 22*h + 7\/2*h**2 + 2\/3*h**3. What is the first derivative of f(p) wrt p?\nAnswer: 4*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:33 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50864 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 401 - 139. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 3, w: 1, o: 6, q: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 5*y + 5. Let v be c(6). Let w = v + 3. Let g = w - -1. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4 - 4694*w**3 + 14076*w**2 - 14074*w + 4691 = 0?\nAnswer: 1, 4691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20250 by -3375.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2, 39, -4, 4, 33.\nAnswer: -4, 0, 1, 2, 4, 33, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 + 6*q - 1. Let n be t(8). Which is smaller: n or -16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 566447 and 532?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1761890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-11 - (21 + -10)) + 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*(-4)\/6)\/2. Let g(o) = 4*o - 2*o - o + 1 - 6*o**2. What is g(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168840 by 4824.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = 34*m + 3. What is the remainder when 102 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -6*p + 59. Find the third derivative of 3*y + 26*y - y**2 + 43*y**p - 148*y**5 + 0*y**2 wrt y.\nAnswer: -6300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 254494853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 597*d**3 - 456*d**2 + 229*d**2 + 233*d**2 - 93*d**3 + 567*d**3 to the form t*d**3 + a*d + r + j*d**2 and give t.\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 38*r + 125. Calculate z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 l when four letters picked without replacement from {e: 6, z: 2, l: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 21 - 2*y + 3*y + 3*y.\nAnswer: y - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/108 and 33\/632.\nAnswer: 17064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007204 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131270466 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.2 (b) -1115 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-2)*3\/3. Let p be (-5)\/(k\/(-12)) - -2. Solve -27 + 2 = -p*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315600334.\nAnswer: 2, 7, 127, 139, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 23969*t + 108.\nAnswer: -23969*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3909 = 3910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + 738*i**2 - 38*i + 13714. What is s(369)?\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68.9 + 1706444535.\nAnswer: 1706444603.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 3364569117766 - 3364569117766.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10530 and 39390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36769176*m**5 - m**4 - 35243836*m wrt m?\nAnswer: 735383520*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 7*m**2 - 4. What are the prime factors of u(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -141. What is the remainder when u is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 at most as big as 717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*(-6)\/(-45)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2322\/6966)\/((-2)\/(54\/(-5))).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - 46. Let w = 29 - q. Let a(c) = 5*c - 69. What is the remainder when a(28) is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.3, 6152\/5 in decreasing order.\nAnswer: 6152\/5, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 361*n**3 - 9*n + 7. Is p(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261 - -89. Let u = 347 - s. Sort -0.4, -1, u, 4 in decreasing order.\nAnswer: 4, -0.4, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546*w = 190*w + 712. Which is the second biggest value? (a) -1\/5 (b) -3\/5 (c) w (d) 17 (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 7*p - 3. Let x be d(7). Let k = 4 + x. Find the first derivative of 4 + 2*s - k - 1 wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 385 * 4741.\nAnswer: 1825285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u + 7. What are the prime factors of w(-18)?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-54) - 446\/(-18). Suppose -u - 4*u = -x. Solve -6*o + o - 5 = -u*a, 5*o = 2*a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313101121201 (base 4) to base 7.\nAnswer: 234104344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67 - -1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -11. Let o(d) = -5*d. Let h be o(2). Let w = 9 - h. What is the remainder when w is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.24639 rounded to two decimal places?\nAnswer: -3.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*1)\/sqrt(9) + 0 - ((sqrt(325) - sqrt(13))*-2 + sqrt(13))*6)*-5 + -2.\nAnswer: -215*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 - 1422320?\nAnswer: -1422143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.46 - -2.54. Sort z, 4, -1, 3\/4 in decreasing order.\nAnswer: z, 4, 3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48412227 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**4\/3 + 10796*d**3\/3 + 2209100*d**2 + 58666900*d\/3 - 65305000\/3 = 0.\nAnswer: -1765, -925, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24385492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.15 + 0.15. Let g be ((-7)\/(-60))\/(1\/(-3)). Let k = -1\/20 + g. Which is the second biggest value? (a) 2\/9 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x + x)*(115*x - 103*x - 237*x).\nAnswer: -225*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.24 - 12. Let b = a + 3.76. Let q = -1.8 - -2.8. Is q >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - h**2 + 4*h**2 + (13*h**2 - 2*h**2 + h**2)*(4 + 2 - 7) + (-h - 4 + 4)*(0 - h + 0) + 0*h**2 + 4*h**2 - 2*h**2 + 0*h**2 + 0*h**2 + h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7521977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 129563349 to the power of 1\/2, to the nearest integer?\nAnswer: 11383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 9) to base 13\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, b: 9, o: 3}. What is prob of picking 1 p and 1 b?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -11. Let r = -16.8 - -17. What is the closest to -0.1 in u, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/24 + 21*s**2\/2 - 5. Let m(f) be the second derivative of l(f). Let t(n) = 3*n**2 + 4*n + 1. Determine -4*m(o) - t(o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(133)\/sqrt(7) + 3).\nAnswer: -5*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28098615 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k. Let w(g) = 824*g - 766. Let q(u) = -3*s(u) + w(u). What is the derivative of q(b) wrt b?\nAnswer: 815","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101908 and 42632.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 - 68) + 5 + 4 + -50.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 186*p**2 - 1123*p + 395. Calculate f(6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38419, 38991, 39563?\nAnswer: 40135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2194 - -35105\/16. Which is greater: 0.04 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 17*j**2 + 194*j + 634. Determine v(27).\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27749633 is divided by 43?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*q - 36 - 2 = 7, q - 24 - 8 = 5*t + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -170 * -0.078\nAnswer: 13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 g when four letters picked without replacement from qgeqffuufgwq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c\/(c\/(c\/(c\/c**5))*c))\/c))\/c)\/c)\/(c\/(c**(-1\/4)\/c))*c**4*(c*c*c*c**(-3\/11)*c*c*c*c)\/c)\/(((c**(-1)\/c)\/c)**(27\/2))**(-16) assuming c is positive.\nAnswer: c**(-28359\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3468979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3 = 90099*j - 90100*j, -5*s + 5*j = -15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t + 3. Let v(k) be the second derivative of 5*k**3\/6 - 3*k**2\/2 - 15*k. What is -4*m(r) - 3*v(r)?\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41835 smaller than 460197\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -2*k**2 + 0*k + 3\/2*k**3 - 1\/12*k**4 + 0. Let y be q(4). Is -1\/26 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302856 is divided by 302261?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.4988 + 10.723. Let c = t + -0.0762. Let f = c - 2.1. Round f to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -437?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Solve -k*l + 4 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2152)\/176)\/((-7983)\/(-32862)). Let v = -2\/9757 - c. Let h = 51 - v. Is h not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -255.\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 398224 - 402587.007. Let w = -4365 - c. Let q = w - -2. What is q rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/97 - 5311\/1164. Let h be -84 + 81 - 19*7. Calculate the common denominator of (146\/96 - 2) + h\/(-204) and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910731258 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3068 - 980 = -q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c**4 + 3*c + 224 - 125 + (3*c**2 + 3 - 3)*(0*c**2 + c**2 - 2*c**2))*(c + 2 - 2).\nAnswer: -5*c**5 + 2*c**2 + 99*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Let v(b) = -b - q*b - 2*b + b. Let w(i) = -2*i. Calculate v(w(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 3:16 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 + 8*w**2 + 77*w + 30. Determine p(-5).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21111 (base 3) in base 13?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u + 29*u**3 - 4*u**3 - 13*u**3 + 7*u**4 - 14*u**3 - 2*u**2 to k + m*u**4 + o*u + p*u**3 + i*u**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in seconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 10\/7*t**3 - 18\/7*t**2 + 0 - 4*t = 0.\nAnswer: -1, 0, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 4*j + 55. What is c(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.091 rounded to one decimal place?\nAnswer: -23.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3*6*sqrt(48))*-5)**2 + (sqrt(4356) - ((sqrt(4356) - (1*sqrt(4356) + sqrt(4356))) + sqrt(4356) + sqrt(4356)))\/((sqrt(12) - sqrt(48))*5) + -1.\nAnswer: -3600*sqrt(3) + 388824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46066*x - 46043*x + 92090*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 164 (b) 3 (c) -87 (d) -50 (e) -2 (f) -5 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**6\/120 + u**5\/5 + 3*u**3\/2 - 4*u**2. Let j be i(12). Let r(z) = -z + 9. Let b be r(j). Solve b = d - 3*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o + 6. Let v(g) = g + 1. Calculate -s(w) + 2*v(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 8:34 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*v + 11*v**3 + 323*v + 19*v**3 - 163*v.\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -46724\nAnswer: -1868.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 57113640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -11. Let d(r) = 1 - r + 2 - 13 - 2. Let l(h) = -3. Let i = 8 - 5. Determine i*d(b) + q*l(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 3. Let q be y(5). Let n be (q\/(-8))\/(3\/(-8)). Suppose -v + 3*u = -48, v - n*v = 2*u - 100. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 9) to base 16\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051751397 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8532.426 micrograms?\nAnswer: 8.532426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-12))\/(1 - (-426)\/24 - 0).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8161.00993 + -8159.4. Let c = s + 76.42127. Let o = c + -78. What is o rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 + 3082.8.\nAnswer: 3082.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 795.\nAnswer: -148\/795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-10 - -25)) + (6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b - 3*b + b + (2 + 2 - 3)*(-6*b + 0*b - 5*b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -15*v + 18*v. What is the remainder when 143 is divided by 0 - v - 20\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/153)\/((-3)\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:35 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1580 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 697*t**2\/4 - 27573*t\/2.\nAnswer: -t*(t + 91)*(t + 606)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19758.15423 + 19758. Round y to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 14}. Give prob of sequence fof.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 117. Let v = -15 + z. What is the remainder when 95 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*i - 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-26\/5)\/((u*u\/u**(-31))\/u*u*u)*(u*u\/(u**24\/u))**(-16\/7) assuming u is positive.\nAnswer: u**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - 6*l**5 + l**5 + (0*l - 4*l + 6*l)*(-4*l**4 - l**4 + 3*l**4) + (-6*l**5 + 4*l**5 + 0*l**5)*(28 + 82 - 65).\nAnswer: -101*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 33*s**3 - 22*s**3 + s**2 - 12*s**3 + s - 1. Let z(n) = n**3 - n**2 + 8*n - 8. Let c be z(1). What is l(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308*i**2 + 1 - 171*i**2 - 169*i**2 to x + s*i**2 + g*i and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*h = 477*h + 611*h + 30325 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*d = -489*d + 5400 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2\/48)\/((-93)\/124)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1355 = 7*h - 19134. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 58*x**7\/35 + 4451*x**5\/60 + x**4\/12 + x**2 - 5787. Find the third derivative of h(v) wrt v.\nAnswer: 8352*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5 (c) -3642.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.2 (b) -2\/21 (c) -0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/10 + 2\/(-5). Suppose -p = -2*q - 12, -2*q - 24 = -3*p + q. Let i be 4\/(-20) - (-1)\/(-20). Which is the nearest to s? (a) i (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + c**2 + 12062*c + 24130. Determine h(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72700000 rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2702\/13 + 208. Let g be 4 - 2 - (-60 + 67). Which is the nearest to 0? (a) 0.2 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5035952301 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - 163. Let p = 261 + c. Is p smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 22246750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6413 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967580677?\nAnswer: 7, 89, 1553099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**4 + 439*a**3 - 651.\nAnswer: -4*a**3 + 1317*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(1\/1))\/((-950)\/(-13300)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-16)*(0 - 6). Let w be 2 - i - (-1 + 3)\/2. Let n be (-15)\/6*(-2)\/(-5). Put 1, -10, w, n in decreasing order.\nAnswer: 1, n, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/5017 in 0, 5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195849342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 6*k + 1. Let o be v(7). Suppose -4*f - 1156 = -o*f. What is f rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3389 and 802?\nAnswer: 1073.7978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393883 is divided by 98283?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 195 + -116. Let x = -46 + t. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 383*t**7\/105 + 34*t**5\/5 + t**4\/24 - 14*t**2 + 9*t. What is the third derivative of j(h) wrt h?\nAnswer: 18384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let n = 0 + v. Let h be 3 + (-115)\/35 - (-1863)\/567. Solve n = -h*x - 2*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 299*i + 5. Let w(n) = 2*n - 3. Determine -h(y) - w(y).\nAnswer: -301*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.0075172014?\nAnswer: 4.0075172014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474 + -234. Suppose -81*k - p = -86*k. Suppose 9*r - 6*r = k. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000669 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxxq when four letters picked without replacement from {x: 1, g: 1, v: 8, l: 2, q: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 6*h**3 + 3*h**3)*(13 - 12 + 46) + h**3 + 3*h**3 - 2*h**3.\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -2*v + 2*d + 2, -1 = -v - 3*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66321 + -6361. Suppose -3*h - 24072 = -3*m, 4*h - t = -5*m - 19867. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -632705\/66 - -9584. What is the common denominator of a and 73\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16599 + -82991\/5. Find a, given that -1\/5*a**3 + 3\/5*a - o*a**2 + 18\/5 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 2*w**2 + 3*w**2 - 2*w**2 - w**2 + w**2 + (-10*w + 6*w + 5*w)*(2 - 2 + 3*w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146857 is divided by 738?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000 - 2?\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 22*r**2 - 42*r + 47. Let m be l(20). Solve m = 13*u - 20*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-two fifths of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g - 185*g + 203*g + 8*g**3.\nAnswer: 8*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39409572 and 10944.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {h: 2, s: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 247.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4954 - -4937. Is w equal to -424\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, k: 2}. What is prob of picking 1 r and 2 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 280*g**2 - g - 4. Is u(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10967 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6662 + 3202*d + 3649*d - 6849*d + (0 - 2 + 4)*(-2*d - d + 5*d).\nAnswer: 6*d - 6662","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 33*b**2 + 40*b - 448. Give g(16).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137.295 - -0.995. Let r = h - -136. Let s(i) = i**3 + 19*i**2 + i + 14. Let b be s(-19). Sort 0.05, -4, b, r.\nAnswer: b, -4, r, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 0*k + 5577401*k**2 + 26775934*k**2.\nAnswer: 32353335*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 798?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3599766 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14158226.\nAnswer: 2, 307, 23059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25913 and 6872.\nAnswer: 178074136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 - 5*z + 1. Let o be -5*(2 + -5 - -2). Does 7 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 5*g + 119. Let r(s) = -305*s. Determine l(r(o)).\nAnswer: -93025*o**2 - 1525*o + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/20 or 5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 17135.1548636 and 3.\nAnswer: 17138.1548636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25543896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1737 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 300 = -3*z, z - 6*z - 482 = 4*b. Let t = 102 - z. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nghszst. What is prob of sequence ht?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(3 + 0 + sqrt(7)).\nAnswer: -6 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, w: 3, d: 5}. Give prob of sequence dw.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 68941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61775.\nAnswer: 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:32 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g - 4. Let h be 2 - (0 + -2) - 0. Suppose -3*i = i + 5*v + 8, i - 23 = 5*v. Let q(a) = 5 + 0 + 2*a + i*a + 0*a. What is h*p(k) + 3*q(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i + 4. Suppose -6*k + i*k = -28. Suppose 2 - k = -5*s. Sort -5, s, 4 in descending order.\nAnswer: 4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2. Let z be w(-1). Suppose 2*u = 5*s + z*u + 20, s = -3*u + 10. Let l(n) = n**3 + 5*n**2 - 2*n - 5. What is l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-32) - (-17)\/(-12))*-816. Let i be 1 + (3 - -5)\/2. Suppose -271 = -i*w + v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33998171*g**2 - 39013582*g.\nAnswer: -67996342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/(1064\/(-380)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 21 = 21. Suppose 0 = 12*t - b*t - 10. What is the derivative of -3*d + 2*d**2 + 3*d + 4 + 6*d**t wrt d?\nAnswer: 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -19*g**2 - 4*g + 16. Let p(k) = 37*k**2 + 9*k - 34. Determine 13*l(u) + 6*p(u).\nAnswer: -25*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 92*i**2 + 176*i - 357. Let f be g(-90). Is -163 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -4\/35, -2\/7, 2?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -120*w - 56*w**2 + 115*w + 62*w**2 + w**3. Let a(c) = -2*c**3 - 11*c**2 + 10*c - 2. Let l(s) = 3*a(s) + 5*t(s). Give l(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -164, -180, -202?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-2)*3\/3 + 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27896\/9 greater than 3099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64184 by 16046.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -28*h**2 + 7726*h + 246. Determine p(276).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/4 - 6*c. Let s(h) = 26*h**2. Calculate s(d(x)).\nAnswer: 234*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - s + 30 - 17, -2*u + 5*s - 17 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369 divided by -676746.\nAnswer: -1\/1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0991 and -5?\nAnswer: -0.4955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 8076. Let l = -4438 + r. Let b = -115 - l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = 20*u - 19*u - 5 - 32, -36*b - 2*u = -31*b - 41 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202110001101 (base 3) to base 10.\nAnswer: -402445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 6*a + 4*a**3 + 2*a + a**3.\nAnswer: 3*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -223 + 221. Let l = d - -36. Calculate the remainder when l is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 23, -2 in decreasing order.\nAnswer: 23, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 2\/293 (c) 6\/7 (d) -0.044\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96560 + -96560.0050249. Round y to four decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 885*h**4*t - 328*h**4 + 9*h**2*t + 2*t + 18 wrt h.\nAnswer: 21240*h*t - 7872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 - 202*w**2 - 9 - 8 + 407*w**2 - 205*w**2.\nAnswer: -14*w**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1334 (base 12) to base 4\nAnswer: 202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -41*b - 2495. Determine l(-61).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -272.7 + 273. Suppose -3*v = -5*o + 20, 2*o + 0*v = -4*v + 8. Let p = -3.5 + 4. Which is the second smallest value? (a) u (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + -4 + 5 + 14. Do g and 9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 27, -12, 14, 5, 6 in decreasing order.\nAnswer: 27, 14, 12, 6, 5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 - 3)*(5*w + 0*w - 4*w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 265961111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2977964*p - 1477206*p - 1500760*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 3\/3*60. Let t be 6 + 75 - (-6)\/2. What is the greatest common factor of t and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 6*a - 5*a. Let v = a - 44. Suppose 0*y - 288 = -4*y. Calculate the greatest common divisor of y and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from cccdddcsdddsdcd?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.75674ml to litres.\nAnswer: 0.04175674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67a + -45157?\nAnswer: -44699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/208*-44 + (-2)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaw when three letters picked without replacement from {z: 7, g: 1, w: 4, a: 4, n: 3}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1008)*1*-1 + -1)*5 - ((1 + sqrt(1008) + -1)*-3 + -4)))**2.\nAnswer: 768*sqrt(7) + 64528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53*(-2)\/9 - 6\/(-27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*d - 17 = -3*n, 2*d = 4*n - 18. Suppose m + 10 = j, -5*m + n*m - 5 = 0. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 7083986.\nAnswer: 7083986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 14*c**2 + 23.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 35. Give f(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -554.7 + 563.7. Put l, 2, -0.02 in decreasing order.\nAnswer: l, 2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42799 is divided by 1600.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-35)*(-12)\/36\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*t - 129 = 213*t - 255. Suppose -1426 = -4*r + 3*f, 0*f = r - 5*f - 348. Calculate the remainder when r is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5129148 or -44?\nAnswer: -5129148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6140, 1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -t + 17461, -4*t + 69739 = -34*m + 29*m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -69, -77, -87?\n\"Answer: -n**2 - 3*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1090727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48\/5 in -0.3, 3, 0.021?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - h = -3, i - 15 = 5*i - 5*h. What is the remainder when (2 - i)\/(-2) + 24 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17061900 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = 4*i. Let j be 56\/2807*(-1)\/i. Let n = 3601\/1604 + j. What is the common denominator of n and 41\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1) + (-1)\/(-2))*(-4)\/(-504)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8204*p - 13. Suppose -6*v - v + 7 = 0. Is c(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 640784, 1281548, 1922294, 2563022?\n\"Answer: -9*k**2 + 640791*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - z + 25 = 0, z - 8 = -3. List the prime factors of (y\/(-6))\/((-6)\/(-81)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4461952 and 11154880.\nAnswer: 22309760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and -107\/678.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 + 8*r - 4. Let b be v(-3). Solve 6*o + b = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -12, -43, -106, -213?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 6) to base 10\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 20*u**2 + u + 15. Let l be j(10). Let o(x) = 19*x - 7. Does 9 divide o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110111111110011101 - 11?\nAnswer: 1110111111110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 187717 + -4?\nAnswer: 187713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 80. Solve 2*i = -2 - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q = -47*q + 2*z + 11, -q - 3*z - 43 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1316, 1310, 1302, 1292, 1280, 1266?\n\"Answer: -w**2 - 3*w + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19654 is divided by 312?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 590 = -4390. Let u be 1\/8 - i\/(-64). What is the greatest common divisor of u and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.143744 rounded to two dps?\nAnswer: 185.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2987, 11917, 26799, 47633, 74419, 107157, 145847?\nAnswer: 190489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 179 = 28. Solve 14 = 9*p + v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96*f - 11?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 554872 and 14749.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.073 * 1146.\nAnswer: 83.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 4. Let x = -2 - -1. Let q = -21 + 19. Which is the closest to t? (a) q (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 - 153 = 35*r + 135 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 50, 189, 478, 971, 1722, 2785?\n\"Answer: 9*t**3 - 6*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 14. Let c = 13 - i. Let f(o) be the first derivative of o**4\/2 - o**3\/3 - o**2 - o - 1. Calculate f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/7 + ((-6)\/5)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21234*y**3 - 14141*y**3 + 7252*y**3 + 31755*y**3.\nAnswer: 46100*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/21 + ((-7)\/(-3) - 3). Let t(n) = 3462500*n**3 - 3*n - 6. Let q be t(r). What is q rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 - 11 + w**2 - w**2. Let t(b) be the third derivative of b**6\/120 + b**3\/3 - 26*b**2. Determine -33*t(p) - 6*v(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 2148.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 131*m + 186094. Give r(274).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*y + 1, -4*s = 5 + 3. Let f be 3 + -1*y*-32. List the prime factors of (-9)\/3 + 3 + f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5 + 120*i**4 + 388*i**3 - 624*i**2 - 386*i + 504 = 0.\nAnswer: -4, -1, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by 16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -b67b (base 12) in base 5?\nAnswer: -1114332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 45*g**3 - 11*g**2 - 72*g + 83. Determine h(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)*z\/(z**(-3\/5)*z))\/(z**(-1\/8)*z*z\/(z*z**(1\/2)*z)*z) assuming z is positive.\nAnswer: z**(29\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 + 1)\/(-1))\/2. Let d be (f + (3 - 1))\/1. Solve -4*n + 11 = -c, d*c + 2*n + 3*n = 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcvacxcxxvvcxcvvooxo. Give prob of sequence oax.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2. Let k(l) = 2*l. Let t(b) = -b. Suppose -4*z - 20 = -3*p, -10 = 4*z - 2*p + 6. Let o(n) = z*k(n) - 2*t(n). Give d(o(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420276535 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5186.741 milliseconds?\nAnswer: 5.186741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 0 = -12*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1614225?\nAnswer: 3, 5, 21523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 2 b when four letters picked without replacement from eebbbbtd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086649?\nAnswer: 227, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:47 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 9, 11, 11, 9, 5, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5 - 184*l**4\/3 + 742*l**3\/3 - 356*l**2\/3 - 208*l\/3 = 0.\nAnswer: -1\/3, 0, 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 57288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/30 - 22\/(-5). Suppose -24*l + 20*l = 4. Put l, 31, o in ascending order.\nAnswer: l, o, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 112, 0.2, -1\/7.\nAnswer: -10, -1\/7, 0.2, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 634 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/5 + -1\/10. Let o = -15948.3 + 15948. Which is the nearest to -6\/13? (a) r (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1551.28878 - 40.\nAnswer: 1511.28878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - 2*p**2 + p + (p - 1 + 1)*(-p - 2*p + 4*p) - p - 3*p**2 - 5780 + 5780 as v*p + d*p**2 + j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -76648.558\nAnswer: -76653.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - x)*(-257 + 257 - 34*x).\nAnswer: 34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -410 divided by -410\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 4434023.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34355658 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(216) - sqrt(24) - sqrt(24)) + 4*(sqrt(24) + sqrt(24)*1))\/((3*(sqrt(120) + -2*sqrt(120)))\/((sqrt(90)*-2 + sqrt(90))\/sqrt(9)))*1)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-456)\/304*(1 + 34\/(-30)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 + -95. What is the highest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 - 34 = -5*y. Which is smaller: 40 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + -0.05. Put t, -2\/11, -0.3 in ascending order.\nAnswer: -0.3, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + m**2 + 126*m + 357. Let c be v(-3). Solve 6*w + c = 3*g, w - 39*g + 16 = -34*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r. Let l(t) = -t - 15951. What is z(l(i))?\nAnswer: 5*i + 79755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 201 - 40 + 173 - y + 146 + 2*y in the form l + r*y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27903 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1880 - 39*z**4 + 0*z - 1880 - z**3 - 96*z**2 - z wrt z?\nAnswer: -936*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-36)*2*2\/2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14512*s + 29017*s - 14503*s. Let j(r) = -7*r + 31. Determine i(j(w)).\nAnswer: -14*w + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26718464 is divided by 8906154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*k**2 - 383*k**2 + 1125*k**2 - 375*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a factor of 260205758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - -0.9. Let a = r - 2. What is the biggest value in 2, a, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/516 and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 577524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*t**2 + 2*t**4 + 12*t**2 - 47*t**2 + 15*t**2 - 298*t - 61*t**4 wrt t?\nAnswer: -708*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16105306.\nAnswer: 2, 7, 31, 43, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/13206 and 83\/372.\nAnswer: 26412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.256911597 - 17585\nAnswer: -17586.256911597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 + 191. Let f(q) = -q**3 + 27*q**2 + 29*q - 20. Let b be f(r). Solve 3*g + b = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, a: 2, f: 1, y: 3, g: 1}. What is prob of sequence ylf?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 - 5 = 0. Let t(f) = -f**3 + 5*f**2 + 9*f - 14. Let u be t(l). What is the first derivative of 5*o**4 + 5*o**u - 9 + 9*o**4 wrt o?\nAnswer: 76*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 685*o - 175988. Give r(256).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3 - 1) - 22. Let w be 4\/28 + (-690)\/y. Suppose 123 + w = 3*f. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10222 + -10?\nAnswer: -10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15752*b = 937164 + 70964 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5554*a**3 - 7*a**2 - 35*a - 6. Let s(u) = 5555*u**3 + 10*u**2 + 37*u + 6. Let g(x) = 5*m(x) + 4*s(x). What is the third derivative of g(j) wrt j?\nAnswer: -33300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 9, q: 7}. Give prob of sequence ldq.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6606 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/20 + (-21)\/(-15). Suppose 7*g - 4095 = -5*h + u*g, 5*h - 4086 = 4*g. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbb. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*y - 164, 4*y - 144 = 2*y - s. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68337698 divided by -26\nAnswer: 2628373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -352, -4, -306 in descending order.\nAnswer: 5, -4, -5, -306, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 25 = 0, 247 = 5*k - y + 27. Suppose -15 = 5*b, -8*d = -5*d + 5*b + 138. Let i = k + d. Solve 0 = 2*z - i - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 148, 306, 496, 712, 948, 1198?\n\"Answer: -v**3 + 25*v**2 + 52*v - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2152\/3 + 2153\/3*j - 1\/3*j**2 = 0. Calculate j.\nAnswer: 1, 2152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(104))\/(sqrt(648) + sqrt(648) + sqrt(648)*-2 + sqrt(648)) + 5.\nAnswer: -4*sqrt(13)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14013 - 41.66.\nAnswer: -14054.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.93 + 13. Let m = 0.87 - n. Let q = m - 0.800012. What is q rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1885*o**3 + 4*o**2 + 964*o**3 + 929*o**3 + o**2 - 5*o**2.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4314, 4 in increasing order.\nAnswer: -4314, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j - 12 = 0. Let z(v) = -3*v - 11*v**2 + 57*v**2 + 3 - 17*v**2 - 14*v**2 - 16*v**2. Let b(q) = q**2 - q + 1. Calculate j*b(c) - z(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 1:30 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 = 632*y + 143*y - 2043 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-22 - (-34 + 3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1155, -1157, -1161, -1167, -1175?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 16. Let f be (12\/m)\/((-4)\/(-10)). Solve 15 = -5*u, 5*b - f*u - 4 = -0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2819.04 - -1?\nAnswer: -2818.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*x - 39*x - 361. Solve x*g - 70*g = 357 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f = -s + 26, 0 = -4*f + 20. Let i(z) = -z - 1 - 7*z**3 + 19*z**3 + 2. Is i(s) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*t + (7*t + 0*t + 0*t)*(-1 + 1 - 3) + t - 3*t + 5*t - 1 + t + 1 + (0*t + 0*t - 2*t)*(4 - 3 - 3) - 2*t + 0*t + 0*t + 2*t + t - 2*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4418261 and 0.5.\nAnswer: -2209130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 8 - 3*r**3 + 5*r**3 - 4*r**3 - 4*r**3 to q + g*r + s*r**3 + u*r**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**4 - 25*m**2 - 50*m + 1916 wrt m.\nAnswer: -8*m**3 - 50*m - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 66 = 12. Suppose 5*d = -2*g + 5, d = 3*g - 8 + 26. Suppose 109 = r + d*s + 44, 0 = -2*s. Calculate the highest common factor of r and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122372014*b**2 + 1499303*b + 28.\nAnswer: 244744028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 13*p**2 + 11*p - 7. Let w be u(-12). Suppose w*h - 4*k + 15 = -0*k, -10 = 5*h - 3*k. Let d be -1 - (-2)\/20*13. Are h and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 62088?\nAnswer: 62088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -2. Let m be (18\/c)\/(-3)*5. Suppose 4*o + 12 = 5*o - 2*n, 0 = m*o - 2*n - 20. Solve 3*s - o = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*h + 16, 4*o - h - 8 = 3*h. Let f = 499 - 487. What is the greatest common divisor of o and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51798, -51687, -51378, -50769, -49758, -48243, -46122, -43293?\n\"Answer: 17*h**3 - 3*h**2 + h - 51813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - u**2 - u + 37. What is the tens digit of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n + 18*n - 3 = -3*u, -5*n + 3*u - 3 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2956211.\nAnswer: 83, 35617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 107. Suppose r*u = 225 - 177. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 2. Let l be m(3). Let j be (l\/12)\/(9\/12). Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -252 + 245 + (-8 - -1) + -7 + 0\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-1\/7))**0\/(r*r\/((r\/(r*r**(6\/25))*r)\/r)*r*r*r*r*r**9) assuming r is positive.\nAnswer: r**(-381\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -415 - -433. Let b(z) = z**3 - 23*z**2 + 92*z - 26. Let q be b(v). What is the closest to q in -2\/9, 2\/3, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214237\/159456 - 1\/4983. Find the common denominator of v and -17\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 227611 to the nearest one thousand.\nAnswer: 228000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*p - 1 + 1 + 160*p - 317*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3478*l + 6442. What is u(-2)?\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22100 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -44*l**3 + l**2 - 3*l + 2. Let g be u(-3). Suppose 4*o - 3*h - 955 = 0, -6*o - h + g = -o. What are the prime factors of o?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*f + 1976*f + 131*f to the form c + p*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3641*f**2*p*x - 98*f*x + 5*p wrt f.\nAnswer: 7282*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -361.1396 - -354.82. Let c = t + 6.12. Let r = c - -0.2. Round r to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/401 or -0.1?\nAnswer: -18\/401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3151\/548 - 9\/2. What is the fifth biggest value in y, 0.2, 35, 2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -1, h - 2*h + 3*a = 3*a - 4*a + 2 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:23 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + 12*n**2 - 13*n - 35. Let k(y) = -y**3 - 6*y**2 + 6*y + 17. Let i(s) = -13*k(s) - 6*o(s). What is the remainder when 55 is divided by i(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6263 + 6280. What is the remainder when 2817 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337262 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 + r**4 + r**4 + r**4 - 2*r**4 + 2*r**4 + (-r**4 + r**3 - r**3)*(0 + 1 + 3) in the form x + k*r**4 + h*r + g*r**3 + a*r**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3 + 5 + 1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 18*c**3 - 25*c + 29. Is x(7) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/45 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612661800 a multiple of 2140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 0.1. Let l = 288925\/2 + -144462. Which is the biggest value? (a) 7 (b) l (c) 3\/5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21273553?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2323 - 1.2323. Which is the second smallest value? (a) y (b) 0.3 (c) -116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 174972 by 14.\nAnswer: 12498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:45 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -423 - -24632?\nAnswer: 2420a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 26*b + 7. Let d(x) = -9*x + 172. Let l(r) = -9*r + 143. Let i(g) = -5*d(g) + 6*l(g). What is 14*i(p) + 4*q(p)?\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 116713943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2574, -5037, -7382, -9597, -11670, -13589, -15342?\nAnswer: -16917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 111 and 24386497714.\nAnswer: 24386497825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 11:47 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(18\/(-25)) + (-55)\/66. Sort 3, 4, t, 19 in decreasing order.\nAnswer: 19, 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 1035?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001128316 rounded to seven dps?\nAnswer: -0.0001128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 70\/(-4)*719540\/25. Let k = q - -873678. Round k to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, i: 5, c: 1, f: 5, p: 2, d: 1}. What is prob of sequence pdii?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-20))\/((-4)\/(-50)). Suppose -o*f**4 + 0*f**4 + 4*f**4 + 30*f**3 - 160*f - 4*f**4 = 0. Calculate f.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -87, -161, -275, -441, -671, -977?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and -19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**3*r**2 - 16*f**3*r - 4*f**2*r**2 - 2*f**2*r + r wrt r.\nAnswer: -30*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (104\/10 - 1) + (-3)\/(-5). List the prime factors of 136\/j + 1\/(10\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 82 - 0?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 5, l: 7, x: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 12 = 0. Let i be (4 + -14)\/((-4)\/n). Suppose -5*a = -4*h - a + 24, -5*a = i. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694436, -1388876, -2083316, -2777756, -3472196, -4166636?\nAnswer: -4861076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2159820 divided by -507\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189989*j**2 - 367865*j**2 + j**3 + 177876*j**2.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 - 2*m - 4*m + 5*m - 2*m**2 - 2 - 6 to the form k*m**2 + j + x*m**3 + g*m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5 + (1*sqrt(125) - sqrt(125)) - -1*sqrt(125)*3*5)**2 + 0)*-5*-3.\nAnswer: -13500*sqrt(5) + 422415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 725, 834, 939, 1040, 1137, 1230?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*n + 39*n - 68*n)*(0*n - 2*n + 4*n) + n**2 - 3*n**2 + n**2 + (2 - 2 - 5*n)*(4*n + 4 - 4).\nAnswer: 59*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36*(-23)\/1242*9\/2*19\/285\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201 - 113. What is the highest common factor of v and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - (-11 + 33)) + 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, -716, -1673, -2632, -3593?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -253403204 (base 6) in base 9?\nAnswer: -10244584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -0*k. Suppose 2*i + 4*p - k*p + 188 = 0, 5*p - 181 = 2*i. Let n = i - -135. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 18. Differentiate -6*m + l + 3*m - 14 + 4*m with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/13)*d**0\/d)**(11\/2) assuming d is positive.\nAnswer: d**(-55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g - 5. Let s(l) = l**2 + 1. Let d(h) = m(h) - 6*s(h). Let q be d(6). Which is the nearest to 1? (a) 3\/7 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 + 0)*(47 + 32 - 56)*(2 - 1 + 1) + (-2 + 2 - 1)*(-4 + 1 - 3))*(14 - 14 - 22*s) to the form c*s + v and give c.\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + q**2 - q**2 + 2*q**5 - q**5 + 4*q**5 + (-2*q**2 + 3*q - 3*q)*(-4*q**3 - q**3 + 4*q**3).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51734337101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30472969 and 1829?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 131 + -124 + (117 - 5)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Suppose 5*d - 5*j = d + 16, d + 13 = -3*j. Let w(m) = 1 + 2*m - 5 - 8 + 0*m. Let u(z) = 1. Let r(k) = d*w(k) - 12*u(k). Calculate x(r(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*q**2)*(-q**3 - q**3 - q**3) - q**5 - 2*q**4 + 2*q**4 + 2.\nAnswer: 5*q**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*m - 15360 = -491*m + 235*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2471 or -2470?\nAnswer: -2471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332 divided by 233254.\nAnswer: -166\/116627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + (11 - 3) + (-237 - -266)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g = -4*y + 11*g + 13*g + 24, -3*y + 35 = -2*g for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5076 - 742. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603 and 22981.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*y + 75. Is 0 - (-5 + (-2 - y) + -207) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 11:04 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.973 + 0.027. Let h = i + -16. Which is the closest to 0? (a) -1 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25302807493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0467 + 1094.5\nAnswer: 1094.4533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - (0 - 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/(-6)*9\/(-69)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {u: 1, g: 3, b: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (21 + -12 + -23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503 is divided by 286.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35437, -35386, -35301, -35182, -35029, -34842, -34621?\nAnswer: -34366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 1253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -1, -5, -0.07, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3685885 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 43. Let t(f) = -2 + 161*f + 9*f**2 - 7 - 165*f. Let s(c) = -2*c**2 + c + 2. Calculate o*t(g) + 26*s(g).\nAnswer: 2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tle when three letters picked without replacement from {l: 2, v: 1, e: 2, t: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 312023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 533 and 19475?\nAnswer: 253175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/17634 and 5\/29268.\nAnswer: 86018652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51390295?\nAnswer: 5, 11, 449, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 + 5315320?\nAnswer: 5315515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*t = 9, 4*c - 2*t - 3*t = 11. Suppose -2*s = -c*s - 24. Is (21\/(-6) + 3)*s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n = 3*o + 94, -4*n = -4*o - 104. Let f be (-32)\/3*o\/20. What is the second derivative of 5831 - 6*j**3 - 5831 - f*j wrt j?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1283*u - 3006*u + 1257*u)*(-1 - 2 + 2).\nAnswer: 466*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346336288 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3737112 rounded to the nearest 10000?\nAnswer: -3740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0955851 minus 109.91?\nAnswer: -105.8144149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 15. Let w be (-7)\/(-3)*(-1 + -2). Let c be r(w). Let j = 37 - c. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20 (b) -5 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205*p**3 - 611 - 94 - 698 wrt p?\nAnswer: -615*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 433 - 412. Differentiate -264*l**3 + 99*l**3 - h + 152 wrt l.\nAnswer: -495*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 340\/13 - 4\/26. Let c = -8 - 0. Let j be ((-78)\/(-12))\/((-2)\/c). What is the highest common divisor of r and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41180*l - 154?\nAnswer: -41180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*u**2*y**3 - 3*u**2*y + 2*u**2 + 14*u*y**3 + 10*u*y - 1 wrt y?\nAnswer: 300*u**2*y + 84*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 3*b. Let v(a) = -1. Let g(f) = h(f) - 2*v(f). What is the least common multiple of 22 and g(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 264153901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 - 4. Let i be (16\/10)\/((-10)\/(-25)). Suppose p + 2 + 1 = 0, 7 = -i*x - 5*p. Is o less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1043138, -1043137, -1043136?\nAnswer: -1043135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -103*20\/(-32)*1\/(-15). Let s = z - -21\/8. Which is the closest to -0.1? (a) -4 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 8:05 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 8:10 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*k = -317*k - 173 - 344. Let g(s) be the first derivative of -2\/45*s**3 - k + 0*s - 2\/15*s**2. Factor g(h).\nAnswer: -2*h*(h + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - z - 1. Let s(b) = -3*b**2 + 10*b - 6. Let d(m) = 4*c(m) + s(m). Let k be d(-8). Solve 0 = f - k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let h(f) = -33832*f - 1. Calculate t(h(j)).\nAnswer: -1144604224*j**2 - 67664*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -9*y - 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.307 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1494 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 806120?\nAnswer: 9673440","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 189 + -751\/4. Suppose 0 = -4*r + 9*r - 2*s - 27, -3*r = -5*s - 20. Suppose -11*a - r*a + 16 = 0. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuo when three letters picked without replacement from {s: 2, o: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 + 4*g**2 + 14*g + 9. Determine w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.4. Suppose k - 17 = 5*q, 1 + 6 = -5*k + 2*q. Let r = -595555\/2 + 297775. What is the third biggest value in k, 2\/11, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9252059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 5*y**2 - 12*y + 14. Let i be z(7). Let j = 41 - i. Suppose 52 = 2*w - 2*r, 0 = 4*r - 2*r + 2. Calculate the remainder when w is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75 - 141) + (-6 - -5) + (-4 - -4) + -12?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1293864 by -754.\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15786 is divided by 3315?\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 545 by -127.\nAnswer: -545\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -142. Suppose 18*o - 19*o + 5 = -g, -h = o + g. Solve 0 = 4*n + x - 1, 0 = -n - o*x - 0 - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*c + c + 120, -3*g + 2*c = -100. Suppose 0 = -8*o + 10*o - g. Let i(y) = 8*y - 6. Calculate the remainder when i(5) is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 58 + (6 - 19) - 90.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 112 - (-617 + 701)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 3\/7 (c) 0.5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fglo when four letters picked without replacement from flfffvogffff.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83131879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 387 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 10:26 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -46, -14, 1, -5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/11 - 358*n\/11 + 14484\/11 = 0.\nAnswer: -213, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276 (base 11) to base 9.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3 - 2*b**2 - 4*b**2 + 0 + b**3 + 2*b. Let q be w(6). Solve 0 = -3*z + p + 2, q + 10 = -4*z - 3*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**3 - 22*k**3 - 19*k**3 + (3*k**2 + 0*k + 0*k)*(6*k + 7*k + 4*k))*(6*k - k - k).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 42 = 3. Suppose 0 = 6*w - w - g. Is w at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 + 77*u + 10.\nAnswer: 77*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8367.18kg to micrograms.\nAnswer: 8367180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 260 - 256.87. Let t = p - 3.2364. Let q = -0.1 - t. Round q to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35a (base 16) in base 11?\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 76?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 15 = 0, 2*w - 3*w = 2*k + 1. Solve 2*a - 3 - w = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41050 and -1726?\nAnswer: -70852300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.938 + 137845.5.\nAnswer: 137846.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + 2*l**2 - 3*l**2 + (6*l - 3*l - 2*l)*(13*l + 15*l - 8*l) + 0*l + l**2 + 0*l.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p - 25. Suppose 3*q - 2*q = p. Let l = q - -12. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -702*g**3 - 367*g.\nAnswer: -4212*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/13 - 2039642*n**3\/13.\nAnswer: -2*n**3*(n + 1019821)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -1. Let s = -62 - -62.5. Sort k, 1\/6, s in decreasing order.\nAnswer: s, 1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 126 = -432. What is p rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 5976*w.\nAnswer: w*(w - 5976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-159)\/(-21) - 3\/(-7). Let k be ((-2)\/(-4))\/((-1)\/q). Which is the third smallest value? (a) -2\/7 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3648\/20185 - 2\/1835. Which is the nearest to -0.1? (a) h (b) 1\/8 (c) 0.09 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*g - 46, 2*n - 13 = -3*g + 15. Suppose 0 = -8*f + g*f - 378. Calculate the highest common factor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 5:22 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-8) - -7) + 14\/(-8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 988\/5555 - -2\/505. Let n = 68796 + -68791. What is the closest to -1.9 in 1, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/1 + (-1)\/(-3)*(-37995)\/2980\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1241 - -1104?\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -724 - -728. What is the derivative of -62*b**2 - 33*b**2 - b**4 - 2*b**4 + 5*b**o - 180 wrt b?\nAnswer: 8*b**3 - 190*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60160296 and 500702?\nAnswer: 6338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -114?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/30791?\nAnswer: -2\/30791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*u - 280, 5*u + 3 = v - 26. Let y = 131 - v. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/8 + (-3458)\/(-304). Solve -2*t - 2*v - 10 = 0, 2*v - 3*v = 3*t + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95957709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h*h\/h**(-8))\/(h**(2\/7)*h\/h**(-4)) assuming h is positive.\nAnswer: h**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/2 - 105*n**2\/2 - 426*n - 266. Differentiate c(y) with respect to y.\nAnswer: -6*y**2 - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (2 - 15 - (2 + -4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 - 9*r**2 - 17*r. Let h(c) = -c**2 + 9*c + 1. Let b be h(8). Let x(d) = -d**3 - 2*d**2 - 4*d. Determine b*x(s) - 2*o(s).\nAnswer: -s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 + -0.01. Let x = -103 - -719\/7. Which is the nearest to 2\/7? (a) x (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 + 8)*(-1587 + 70*n + 1587).\nAnswer: 1120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {w: 2, t: 3, k: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24*1\/3*(-10)\/(-8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, j: 9, x: 2, s: 5}. Give prob of sequence jxxj.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:26 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1019957170 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*((v*v\/(v*(v*(v*v*v*v**(-6\/11))\/v)\/v*v))\/v)\/v))\/(v*v**(-1\/5))*(v**(-2\/5)\/v*v)**(-1\/2) assuming v is positive.\nAnswer: v**(102\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 16. Let r be m(2). What is the greatest common factor of 40 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/65147207 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.029 in 5, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 15*i**3 - 2 + 0 - 3598*i**2 + 3 + 4*i + 3601*i**2 to the form d*i + v*i**3 + u + o*i**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 7.\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 2:54 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12723454 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*h*s**3*z + 16*h*s**2 - 2*h - 2344*s**3*z + 2*s**2*z - 39*s**2 + 7*z wrt s.\nAnswer: 414*h*z - 14064*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 993*l + 12 + 0 = -972*l, 0 = -3*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 10*j**2 - 2*j + 7 - 3*j**2. Let h(a) = -a**2 + a - 1. Let l be -5 - 0 - -2 - (5 + -9). Calculate l*q(v) + 6*h(v).\nAnswer: v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143673*s**2 + 287334*s**2 - 143695*s**2.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2035343830 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1. Let y(v) be the third derivative of -v**5\/60 - v**2. Determine y(o(w)).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.8 in 12, 0.3, -7, 0.4, -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-3)\/3)*(-2)\/46*(-46)\/(-46)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 1, 4, 5, -6, -8486, -5 in ascending order.\nAnswer: -8486, -36, -6, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -31. Let j be 9*((-184)\/(-60) + -3). Let f(l) = -2*l**2 + 1. Let m be f(1). What is the second biggest value in m, j, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhvvvlhlbdvvbylbblv. Give prob of picking 1 y and 3 v.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -94*b**3 - b**2 - 5*b - 9. Let o be c(5). Let f = o - -141797\/12. What is the common denominator of f and -11\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by -2588081\nAnswer: -68\/2588081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.73 * 0.105\nAnswer: 0.28665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1435 divide 1356671820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 7*i - 12. Let l be b(9). Find the third derivative of 3*f**5 - 9*f**5 - l*f**2 - 5*f**2 - 3*f**2 wrt f.\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 2, p: 7}. Give prob of sequence hp.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2150, -85.\nAnswer: -2150, -85, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 3:45 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/(-4) - (-8)\/32. Let g(k) = k**3 - 4*k**2 - 6*k + 5. Let w be g(d). Suppose w*t + 10 = t. Round t to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let b = -2 + 3. What is the closest to b in 5, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a factor of 352715855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -102*d - 55*d + 5*d + 16*d - 34. Let w be h(-11). List the prime factors of ((-18)\/(-4) + -1)\/(43\/w).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2. Let s = 60 - 49. Let f(a) = -51*a - 46*a + s*a + a. Determine f(b(g)).\nAnswer: 170*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -403*m + 787. What is the lowest common multiple of 1239 and u(-2)?\nAnswer: 11151","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 612918 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = -21. Suppose o = -j + 11. Solve -l + o = -0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 15 = s. Let n be 57*s\/9*1. Let f = n - -38. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/93 + -101\/372. Let w be (1\/4)\/(10\/(-64)). Let f = 7\/5 + w. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 14*o - 4. Calculate a(16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 34*z**3 + 9*z - 15*z**3.\nAnswer: 19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120002 + -200?\nAnswer: -1120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -67 + 66 + 90*k**2 - 263*k**2 - 81*k**2 + k. Let c be z(1). Let p = c - -362. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 469, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23135176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*k**2*m**3*p + 2405*k**2*m**2*p**2 + 3*k*m**2 - 5*k*m*p**2 - 5*k + 3869*m**3*p wrt k.\nAnswer: -440*m**3*p + 4810*m**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/10, 32, 136, 9, -3, 1?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1252*w + 528*w - 352*w - 679*w as i + n*w and give n.\nAnswer: -1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:07 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, 0.2, -25, 0.3, -0.3, -3\/2, 3347?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.54 - -2.65. Let o = 0.01 - h. Which is the biggest value? (a) o (b) 1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*y + 138*y + 95*y)*(0*y**2 + 2*y**2 - y**2).\nAnswer: 270*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.0487, -6, -7\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*1*sqrt(171) - sqrt(171)) + 5*sqrt(171)*-1)*-1)\/(2*-2*(-1*sqrt(900) - sqrt(900))).\nAnswer: sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*(2 - 0). Suppose -26*j + 27*j = 0. Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4116 by -343.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*d**2 + d**2 - 5*d**2)*(-2 + 3 + 0) - 3*d**2 - 5*d**2 + 5*d**2 - d**2 - 5*d**2 + 4*d**2 in the form s*d**2 + h + u*d and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 858*i.\nAnswer: 3*i*(i - 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136708 and 28446?\nAnswer: 176763444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*k**4 + 22*k**4 - 8451 + 8450 - 27*k**4)*(3*k + k - 8*k).\nAnswer: 344*k**5 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2694402.\nAnswer: 2, 3, 149689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*i + 157 + 548 = -383 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 18*b**2 + 10*b + 5. Let u be m(0). Put 4, 1941, u in descending order.\nAnswer: 1941, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = 2*q - 5, 0 = 4*p. Let f(w) = -q + 4 - 6 + 7*w - 5*w. Let a be f(4). Solve -3*d + o - a = 0, 0*d - 5*o = -d - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 898.87, 0.1 in decreasing order.\nAnswer: 898.87, 0.1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073632 plus -25013542?\nAnswer: -25013542.073632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-1 - 0) + 38. Let p = z + -37. What is the first derivative of -4*f**4 + 4 + 5*f**p - 2*f**4 - 9 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -7*t - 652. Let v(s) = 11*s + 667. Let j(q) = 6*v(q) + 7*w(q). What is j(33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 929, 930, 933, 938, 945?\n\"Answer: r**2 - 2*r + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102220234240 - -2?\nAnswer: -102220234233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26215 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/3)*a*a**4*((a\/a**4)\/a*a)\/(a\/(a*a\/(a\/(a**4*a))))*((a\/a**(-1\/3))**(-15))**2 assuming a is positive.\nAnswer: a**(-98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/259 and -43\/185.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 7*o - 5. Let g be a(-4). Suppose -x - 4206 = -g*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5715 and 118925721?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0104482 + 0.01086. Round o to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33775*d**4 - 559665*d**3 - 1866695*d**2 + 3910185*d - 4050 = 0. Calculate d.\nAnswer: -9, 1\/965, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 565 and 17741?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 4 = 0. Suppose 2*j + 5*x - 3 = 0, x = 3*j + 2 + z. Let d = 6 + j. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1299471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 28, 84.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(468)*-2)**2)*5.\nAnswer: 9355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*i**2 - 1 - 510*i**2 - 328*i + 328*i.\nAnswer: 18*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17888 and 44720?\nAnswer: 89440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 224, 323, 422, 521?\n\"Answer: 99*u + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - (7 - 7 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -229, -287, -309, -301?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1362\nAnswer: -1\/1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. Suppose p*v - 64 = 131. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27511000 rounded to the nearest 100000?\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 40. Suppose -t = 3*i - 3*u, 10 = 2*i + i + 2*u. Suppose -a + 2*a = i. Solve 0 = -a*g - g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.2 + 5. Let r be (2 - 0)*1\/(-4). Which is the nearest to j? (a) 1\/5 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*t + 901 = -49*t. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15205941*t**2 - 15205941*t**2 + 23*t**3.\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 143, 232, 321, 404, 475?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8711033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**13*((s*s**(-19))\/s)\/s)\/(s\/s**(-2\/27)*s**(-1\/3)) assuming s is positive.\nAnswer: s**(-182\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 - 1)*1\/(-2). Let x(w) = 1. Let h(b) = 4. Let g(a) = -h(a) + 3*x(a). Let p(d) = -d - 2. Let v(s) = 4*g(s) + p(s). Calculate v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g = -44*g - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5088, -10181, -15274?\n\"Answer: -5093*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23230777 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/85 and 16\/8933045.\nAnswer: 151861765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 58446, -114, 0.2 in descending order.\nAnswer: 58446, 1\/2, 0.2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q\/q**21)))\/(q**(-16)\/q) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**7\/y)\/y)*y*y*y**(1\/4))**11 assuming y is positive.\nAnswer: y**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(143)*4 + sqrt(143)))\/((sqrt(176) + -1*sqrt(176) - sqrt(176))*3).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 10 + 50. Suppose a = 3*s + 2*s. Solve -2*j = 5*b - s*j - 31, b - 17 = 4*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a7 - 1ddc1?\nAnswer: -20188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 65*y**2 - 102*y + 78. Let i(k) = -k**3 - k. Let j be i(-4). Let n = j - 41. Calculate the remainder when c(-34) is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1039501 divided by 295.\nAnswer: -1039501\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-16)\/(-6))*37490\/2445?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 337997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(108\/40) - -7*4\/(-84). Solve c - 3*r + 8*r = 15, j*c + 3*r - 21 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 8 (b) 1\/8 (c) -2\/7 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -388, -572, -750, -922, -1088?\nAnswer: -1248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 22 = 5*d + 2*u, 5*d - 26 = 2*u. Suppose d*r - 62 - 66 = 0. Let v(i) = -21*i - 96. What is the remainder when v(-9) is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/12 + -19 - (5\/(-10))\/((-1)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3122 and 4144?\nAnswer: 924112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m - 160 = -44*m + 4*m. Calculate the least common multiple of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 - 199. Let q = -3 - -2.6. What is the third smallest value in 3, z, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9. Let w(h) = 0*h - 8*h - h**2 - 7 + p*h**2. Let c be w(-6). Calculate the greatest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -14, -845, 0.1 in decreasing order.\nAnswer: 15, 4, 0.1, -14, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-8)*-4*2. Calculate the remainder when 217\/4 + h\/(-4) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92906771?\nAnswer: 1831, 50741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqaa when four letters picked without replacement from {q: 9, a: 11}.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - ((-3 - 8) + 4)) + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88044 and 6616456.\nAnswer: 575631672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/3)\/((-1)\/3). Let l be u\/(-6) + (-1)\/(-3). Suppose 2 = -4*s + 10. Is l equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/20 - y**4\/12 - y**3\/6 + y**2\/2 - 5*y. Let a be u(1). Suppose -3*b = -p - a*p - 20, 3*p = 3*b - 30. Sort b, -4, -1.\nAnswer: -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*c - 1 = 0, n - 3 = 4*n + 5*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - -606. What are the prime factors of q?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*k + k + 53, 2*k + 42 = 4*s. Let n(a) = a**2 - 9*a - 5. Let z be n(s). Solve 0*w + z*w - 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/120 and 41\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1828\/13 - -9231\/65. Factor 2\/5*n + j*n**2 + 0.\nAnswer: n*(7*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 + 10*w**3 + 2*w**2 - 14*w**3 + (0*w + 4*w - w)*(-4*w**2 + 4*w**2 - 2*w**2) - 3*w + 3*w + w**3.\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1671 + 427. Let g(i) be the first derivative of -y*i**3 + 2 + 2102*i**3 - 20*i + 34. Find the first derivative of g(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*l - 112 - 56, -4*l = 16. Suppose -p - d - 94 = 0. Let h = p - -258. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18578245 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-3)\/9*-1). What is the greatest common divisor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 - 49*d + 14. Let b(v) = -v**3 + 7*v - 2. Let c(o) = -6*b(o) - h(o). Let s(p) = 4*p**3 + 5*p**2 + 6*p - 2. What is -3*c(t) + 4*s(t)?\nAnswer: t**3 + 2*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 71 = 5*a. What is the units digit of ((-4)\/(-3))\/(a\/21) - -78?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -63*(12\/(-4))\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*12.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.363315 to three decimal places.\nAnswer: -2.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/8 - (2 + -1) and 7\/(2\/(-3) + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - -83. Solve f = -3*y + y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - 2 + 2 - m + m - m + (m - 4*m + 4*m)*(-3 + 6 - 4))*(3 - 4 + 0)*(-56*m - 3*m**2 - 48*m + 70*m) in the form h + n*m**3 + p*m + x*m**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 665 = -4*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 115 = r - 127, -3*r - 4*n = 6. Solve 0 = u - 3*p + 2, r = 3*u - 3*p + 6*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 7. Let v be g(-8). Let h(o) = 2*o**2 + 17*o + 27. What is the tens digit of h(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(sqrt(833) + sqrt(833) + 0 + sqrt(833))*-1 - (5 + 2 + sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) + 0))*6)**2).\nAnswer: -3379 - 91*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40314594096 - -2?\nAnswer: -40314594094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -1, 83, 5, 2.6 in ascending order.\nAnswer: -3, -1, 2.6, 4, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 31569 + 31643 = -3*z, u = -2*z - 39 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114858152 to the nearest integer?\nAnswer: 10717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -13. Let q(n) = -10*n**3 - 10*n**2 + 7. Let f(i) = -1 + 0*i**2 + 7*i**3 - 4 + 7*i**2. Let o(x) = u*q(x) - 7*f(x). Suppose o(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/3 - 28*h**2\/3 - 110*h\/3 + 136\/3 = 0.\nAnswer: -4, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1228, 4, 105, -9 in decreasing order.\nAnswer: 1228, 105, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*s + 16*s - 112 = 42. Determine z so that 90*z + 0 + 5\/2*z**3 + 30*z**s = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -289*k + 3. Let r be y(-1). Suppose 0 = -2*i + 4*v - r, -2*i = 4*v + 106 + 146. Let j = 148 + i. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 245374 and 245376 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081 a factor of 16144440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173 - 169. Calculate the lowest common multiple of 88 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 2 - 2 + (3 - 3 - 2*b)*(5*b + 0*b - 3*b) - 31*b - 10*b**2 + 31*b - 3*b**2 + 2*b**2 + 2*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -907*x + 14511. Let n be y(16). Let t(q) = -9*q - 5. Calculate t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 5:09 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -17*i - 882. Let o = 127 - i. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/68016 and -53\/20430384.\nAnswer: 2226911856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8366241644?\nAnswer: 2, 2091560411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8908 (base 10) to base 13.\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 2, u: 1, p: 4}. Give prob of sequence xixu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8920 smaller than 62450\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28*c - 5. Suppose 43 - 13 = 5*n. Is q(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 340 = 3*t, 0 = -5*t - x + 106 + 478. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199632 and 349356?\nAnswer: 1397424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213738456*b**2*t - 2*b**2 + 23925801*b + 2 wrt t?\nAnswer: 213738456*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1028382914 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -d + 1. Let b(v) = d*v**2 - 3*v**2 + 4*v - 7*v**2. Let o(a) = -7*a**2 + 3*a. Let t(q) = 5*b(q) - 6*o(q). Find y such that t(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6077.315 and 1.3.\nAnswer: 7900.5095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/72 + (-556801)\/(-378)*(-618)\/(-7004)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:23 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 13) in base 15?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + d - 3*d**3 + 2*d**3 - 2*d in the form k*d**3 + x*d + y*d**2 + g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k)**50*(k**1)**(11\/5)*(k\/k**6)\/((k\/k**1)\/k)*k**(2\/9)\/(k\/k**(-1\/10)) assuming k is positive.\nAnswer: k**(38813\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897693 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/22))**(-10))**28 assuming w is positive.\nAnswer: w**(140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 346168 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8858893 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291996591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, v: 1, t: 1, g: 3, d: 1}. Give prob of sequence gtwv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1121 and 346864?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -5 + (-5 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 25 = -3*k - 16, -15*o = -10*o + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13077 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14040 + 14056. Solve 8*n + 16 = 12*n + 2*y, 4*n + y - t = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 14 = 5*w, -3*w + 5*r = 6*r + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 6. Let a be m(6). Suppose -4*f + 9 + 6 = 5*r, 4*r + 5*f - 12 = a. Differentiate -5 + 2 + r*o**3 - 4*o**3 + 4 with respect to o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 368\/3041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -2c6cc1?\nAnswer: 2c6cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11208, -11259, -11344, -11463, -11616, -11803, -12024?\nAnswer: -12279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*h + 1984 = 324 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 8*p**2 + 21*p**2 + p + 24*p**2 - 1. Is x(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -226 - -190. Let d(t) = 2*t**2 + 32*t + 20. Let k(o) = o + 2. Let n(q) = r*k(q) + 2*d(q). Factor n(c).\nAnswer: 4*(c - 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*w - 42 = 0, -3*f - 21 = -8*f - 4*w - 11*w + 17*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.3 (c) 1\/6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4))\/(390\/(-104))*725\/(-87)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31645601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 9\/(0 - 12\/(-612)).\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 98 = -4*g. Let j = -682\/7 - g. Suppose -10\/7*h**2 - j - 2*h = 0. What is h?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 4\/7, 1\/2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ttjtttttjtt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -t + 9, -7 = -t + 2*t. Suppose s + 16 = 5*s. What are the prime factors of ((-3)\/s)\/(h\/1664)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1339846646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7*w = z - 992, w + 501 = 3*z. Calculate the common denominator of 85\/4 and (-190)\/w*(-6)\/1.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/231 and -70\/3.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2 + 21*z + 126. What are the prime factors of j(-15)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -2. Suppose 5*y = -10, 0 = -4*j + 4*y - 35 + 127. Let c be (-4 - 0) + 70\/j. Sort 2, d, c.\nAnswer: c, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 38*f**3 - 12*f**2 + 50*f - 8. Let d(p) = -43*p**3 + 11*p**2 - 60*p + 9. Calculate -5*d(g) - 6*k(g).\nAnswer: -13*g**3 + 17*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.96 + 0.04. Let u be (-5)\/(50\/6)*1. What is the biggest value in u, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 12, -2\/13, 11.23, 1\/2, 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 165, 146, 129, 120, 125, 150?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h + 2. Let j(c) = 8*c**3 + 477*c - 24. What is j(g) + 10*l(g)?\nAnswer: -2*g**3 + 497*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)**(-49)*(m*m**(8\/7)*m)\/(m*((m\/(m\/((m**(2\/7)\/m)\/m)))\/m)\/m*m))**(1\/36) assuming m is positive.\nAnswer: m**(377\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2799)\/10885*55\/(-3).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-2)\/(-70))\/((-8)\/3180*(-9)\/(-6)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghg when three letters picked without replacement from ghhgghgg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 6*q**2 + q**2 + (-q + 5*q - 2*q)*(-2*q + q + 3*q) - 2*q**2 + 3*q**2 + 0*q**2 - q**2 + 0*q**2 + 3*q**2)*(-45 - 90 - 54).\nAnswer: -945*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -763\/65 + 150\/13. Let y = 0 - 1. What is the closest to 1 in y, -4\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2 - 2*m - 157. Let v be q(0). Let r = v + 247. Suppose w - 147 = -w + a, -w - 5*a + r = 0. Calculate the highest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2430 + 2427. Which is the third smallest value? (a) -0.3 (b) g (c) 345\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157598 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 8*u**3 + u**2 - 8*u.\nAnswer: -u*(u - 8)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 633, 988, 1303, 1560, 1741, 1828, 1803?\n\"Answer: -3*h**3 - 2*h**2 + 382*h + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/3341?\nAnswer: -3\/3341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686 and 3598?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**3 - 6*u + 4*u - u**2 - 3 - 10*u**3 + 2*u to the form d*u**2 + q*u + a + j*u**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101030 (base 4) to base 11\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11206, -11221, -11246, -11281?\nAnswer: -11326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z**5 - 2 - 168*z**5 + 84*z**5 + 83*z**5 + 17*z**3 + (-4*z - z + 3*z)*(-2*z**4 + 3*z - 3*z).\nAnswer: 2*z**5 + 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206 - -10?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:18 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -3\/4*r**3 + 0*r**2 - 14 + 1\/20*r**6 - 1\/8*r**4 + 9\/40*r**5 + 16*r. Let n(w) be the first derivative of j(w). Factor n(g).\nAnswer: 3*g*(g - 1)*(g + 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1260900 and -0.03.\nAnswer: -1260900.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16032 + 8637 - 24861 = -210*x - 942*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 52 - 50 + 5*t**2.\nAnswer: 5*t**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3281, -3, 5, 2 in decreasing order.\nAnswer: 3281, 18, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -89d50a?\nAnswer: 89d50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97686578?\nAnswer: 2, 11, 89, 49891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 3*h**4 - 2*h**4 + 0*h**4 + (-2 + 2 - h**3)*(0*h - 3*h + 4*h) + 2*h**4 + h**4 - h**4 + 3*h**4 - 4*h**4 + 3*h**4.\nAnswer: 4*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 - 8*u - 7*u + 1 - 5*u**2 + 0.\nAnswer: -5*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22139 = -20*n + 78141. List the prime factors of n.\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*k - 5, 3*k + 3 = -5*f + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 76*v + 42 + 13 - 34*v + 19 - 39*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13*18\/36*-2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 11. Let f be n(3). Is f at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2111*n + 1438. Let a(v) = 4221*v + 2961. Let m(k) = 4*a(k) - 9*o(k). Differentiate m(g) with respect to g.\nAnswer: -2115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.5, 2\/5, -0.02, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -334.3 and -0.4.\nAnswer: -334.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.324999683 - 0.325. Round s to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 23 = -3*s, 4*s + s - 33 = 3*c. Suppose 6 = -z + 4*z. What is the third derivative of z*b**s + b**6 - 2*b**6 + b**2 + 2*b**2 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*i - 18*i - 1131. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/5))**40*r**(2\/21)*r\/(r\/(r**(4\/9)*r)) assuming r is positive.\nAnswer: r**(601\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22899)\/204*(-4)\/((-2)\/(-2)). Let h = u + -385. Calculate the lowest common multiple of h and 56.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 + 167. Let h be -187 + -5*(-8)\/20. List the prime factors of -1*k\/(5\/h).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 2:47 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - -18. Let y = 16 - 7. What is the greatest common factor of y and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 32. Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 + 6*i - 8. Let y be c(-10). Let d = y + -74. Is (-5 + d*2)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 459, -2, -44, 1, 66 in decreasing order.\nAnswer: 459, 66, 1, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075424 less than 3?\nAnswer: 3.075424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185063849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 5. Let w be x(-6). Let b = -16339 - -16343. Solve 4*c - b = 0, -3*j + 0*j = -4*c - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23 or 47.2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7669*r - 7662*r + 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*j - 25, 4*n = 3*j + 83. Solve 2*u = n - 26 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t**5*(t*t**(-2\/7)*t)**(-1\/11) assuming t is positive.\nAnswer: t**(1042\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0098 and -0.04?\nAnswer: -0.000392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/(1\/(-2)*(-122)\/(-183))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 33*z - 113. What is w(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/25198182 and -53\/54.\nAnswer: 25198182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-28))\/((-1)\/(6\/(-6)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + (-6 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4856900 to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqnb when four letters picked without replacement from nnnbnqnnbnnnnnqbnnnn.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*f + 29*f - 9 - 14*f - 35*f.\nAnswer: -139*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -26*i - 8*i + 30*i. Let q(o) = 2*o. Determine l(q(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + 7. Let c be (-4)\/(7 - 3)*1. Suppose 54 - 89 = 2*j + 5*r, -2*j - r - 15 = 0. Let v(n) = -n**2 - 1. Give c*t(p) + j*v(p).\nAnswer: p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 + 295. Let s be t\/8*(-12)\/(-9). Let x = s - 16. Calculate the remainder when 23 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 5296 = 0. Suppose 10*n - u = 8*n. List the prime factors of n.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9470 (base 10) in base 5?\nAnswer: -300340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027255712 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*i - 7 = 0, -10*q - 5*i = -5*q - 15. Solve -w + t - 3 = -2, q*w - t = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f + 18*f - 22 = 2*s - 14*f, -17 - 82 = 9*s + 3*f for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 6*n**2 + n + 7. Suppose q = -4*q - 20, -3*v = 3*q + 84. Let c be (1\/(-2))\/(2\/v). Is 13 a factor of i(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1719*a + 180500. Determine k(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -204, -305, -406, -507, -608?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492 divided by -4.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416684*20.\nAnswer: -8333680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/2)\/(d*d**(-1\/20)))\/(d**(-8))**(-41))**21 assuming d is positive.\nAnswer: d**(-137109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*i = 66292, 39351 = 2*s + 4*i + 6191. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287, -293, -303, -317, -335, -357?\n\"Answer: -2*x**2 - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 886900 and 2800?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3*g*h - 99*c*h**2 + 9*g*h**2 - 2*g*h + 6*h**2 wrt c?\nAnswer: -3*c**2*g*h - 99*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -197029.3 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.8719 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/2 + 16453557*u - 270719537952249\/2 = 0 for u.\nAnswer: 16453557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 + 1\/3*l**4 + l**3 - l + 1\/3*l**2.\nAnswer: (l - 1)*(l + 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20894.\nAnswer: 2, 31, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + -22 - 41 - 90.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 3249?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k**2 - 11*k**2 - k**2 - 2*k**2 to f*k**2 + v + a*k and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 78742841 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4604*w**2 - 29887*w**2 - 32*w + 32*w as q*w**2 + s + y*w and give q.\nAnswer: -25283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbbh when four letters picked without replacement from {h: 16, b: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 5451782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 6 = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/1631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2\/7 - 124*s\/7 = 0.\nAnswer: 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*u - 4*u - 5*u - 6 - 8*u as o*u + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 209884457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1192*s**4 + 758 wrt s.\nAnswer: 4768*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbyyb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 3 + 3 + (-156 + 156 + 14*n)*(-n**2 - 2*n**4 + n**2).\nAnswer: -26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23370284 to the nearest integer?\nAnswer: 4834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/18794746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15238 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 707 + -707. Let y(k) = -20280 - 938 - 35782 + 2*k + k**2. Let q be y(i). Round q to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1787, -2935, -4083, -5231, -6379?\nAnswer: -7527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-16))\/(1\/(-8)). Sort -1\/2, -1\/10, 0.5, p in ascending order.\nAnswer: p, -1\/2, -1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9963 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g**(-2)\/g)\/(g\/(g*g**3)*g**(-11)) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 5*g + 7. Let w(x) = -x**2 + x + 1. Calculate w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 times -21\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 4*a**2 - 6*a - 2. Let n be b(-5). Suppose 2*s + n - 7 = 0. Suppose 2*y - 328 = -2*w, -w = -s*y + 457 - 132. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:58 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9207035, -9207011, -9206987, -9206963, -9206939, -9206915?\nAnswer: -9206891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -31509 at least as big as -30365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2)*7\/14. Let s be (-6 + 7)*-3*l. Solve 2*t = 7*t - 2*g - 30, -4*t + 31 = -s*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3 - 44*i)*(-4*i + 3*i + 3*i + 2) to the form l*i**2 + h + t*i and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101699?\nAnswer: 13, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 27*w + 181. Let a(g) = -10*g - 60. What is -8*a(y) - 3*o(y)?\nAnswer: 6*y**2 - y - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -80 (b) -2\/11 (c) -0.4 (d) 29.7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1754386*c + 434581?\nAnswer: 1754386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 54\/12 + (9774\/27693 - (-8442)\/68)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-4 + -1 - -1 - 2) + 6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48556 and -215.52503.\nAnswer: -48771.52503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*w - 16 = 73*w - 2*d, 0 = 2*w - 3*d - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 36, 51?\n\"Answer: 15*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -238, -279, -320?\n\"Answer: -41*c - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(72)*6 - sqrt(72)*-2*5)**2 - (-6*(2 + sqrt(72)) - (3 + sqrt(72) + -1))**2).\nAnswer: -15432 - 7056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10130*f**4 - 13*f**2 - 2*f**3 - 11*f - 11 - 10132*f**4 + 3*f**3 + 4*f**3 - 3*f**3 to j*f**4 + t + b*f**2 + c*f**3 + a*f and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -21. Let d = 2211.7 - 2212. What is the smallest value in d, y, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-24)*7\/(49\/20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17970\/(-9))\/(2 + 24\/(-9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(-3 + (sqrt(1377)*2 + 5)**2 + -1) + -1 + -2).\nAnswer: 4320*sqrt(17) + 132684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/(-744)*-108 - (-91)\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71472661\/528 + -135365. Let t = -1\/132 - y. Is 0 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390*t**2 + 390*t**2 - 10*t**4)*((-3 + 2 - 1)*(-4 - 2*t + 4) + 4 - 4 - 3*t).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f**5 - 30*f**4 + 48*f**3 + 8*f**2 = 0 for f.\nAnswer: -2, -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18*y + 563. Give f(-24).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1.64 (c) -18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -54\/5 (b) -0.5 (c) 19\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4670 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/139 or 46\/433?\nAnswer: 4\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 16*u**2 - 3*u + 13. Suppose 20 = h - 4*f, f + 6 = 3. Let s be z(h). Which is the fourth biggest value? (a) -5 (b) s (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3503*f**3 + 5*f**2 - 15*f. Let g(n) = -916036*n**3 + 1308*n**2 - 3924*n. Determine -1308*b(c) + 5*g(c).\nAnswer: 1744*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2269 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 9*j**2 + 3. Let i be o(9). Let c be (-8)\/2*(i - 4). Sort 3, c, -2 in ascending order.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cb (base 13) in base 10?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 4*l**2 - 8*l + 53. Let o be k(10). Let g = o + 2073. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7931 and 525712?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1738 + 2?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 905124*f**4*r + 20*f**4 + 20*f**2*r - 65*f*r + 15*f - 7*r + 67 wrt f?\nAnswer: 21722976*f*r + 480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = 81, -5*t - 18 = -3*p - 15 - 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-5)\/2) + 252\/(-45). What is the remainder when (-8)\/n - 6580\/(-105) is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 11*u - 6. Let z be l(10). Suppose 30 + 0 = 3*q. Solve -z*c - 2*g = 3*g + 45, q = -c - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3961909 or 0.042?\nAnswer: -3961909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -15. Let g = -26 + u. Let a = g + 43. Solve a = 4*x + 3*z, 0*x - z = -4*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005611 rounded to six dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2, 0, 69, -77, 4, -1 in ascending order.\nAnswer: -77, -2, -1, 0, 4, 17, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34853 and -11.518.\nAnswer: -34864.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 145*s - 141*s - 5, -4*c = -5*s + 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 37*a**4 + 24*a**3 - 7*a**2 + 981*a - 4. Let t(x) = x**4 - 6*x**3 + x**2 - x + 1. Let c(k) = h(k) + 4*t(k). Find the second derivative of c(w) wrt w.\nAnswer: 492*w**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 11*f - l = -106, -2*l - 118 = -2*f. Let o = 0 + 19. Let n = o + -5. Calculate the remainder when f is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 25*l = -8*l + 89*l - 968 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 4*w**2 - 4*w**2 + 1051*w**3 - 36*w**3 - 29*w**3 - 4*w**3 - w**3 + 4*w**3 + (0 - 2 + 1)*(4*w**3 + 0*w**3 - 3*w**3).\nAnswer: 982*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30474\/151 greater than 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1428 = 15*z + 13*z. Suppose 0*b + 357 = 3*b. Calculate the greatest common divisor of b and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 193, 218, 235, 244, 245?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.00000224. Round v to seven dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967835001.\nAnswer: 3, 7, 46087381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) + (-1750)\/(-49). Let d = -18 + g. What are the prime factors of (-4)\/2*(-72)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498475438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3 = 5*a + 24, 0 = -l - 2*a - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 2*s + 4*s)*(9 - 13 - 27 - 44)*(-44 + 120 + 14) in the form z*s + t and give z.\nAnswer: -6750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 at most as big as 1844.762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o. Let i(z) = 978*z**2. Determine i(y(a)).\nAnswer: 3912*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t - 3*t)*(-2*t**4 + 4*t**4 + t**4 + (0*t - 5*t + 3*t)*(0*t**3 + 2*t**3 - t**3)).\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5113350)\/594*(-18)\/10 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21016 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -15. Suppose -p = -0*n - 3*n. What is the units digit of n + (3 - 5) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*p + 5, -37 + 12 = 5*d. Suppose p = 6*o + 2*o. Solve o = -8*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16550257 is divided by 1069.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1. Let j(p) = 2*p + 16. Let s = -1 - 0. Let f(q) = s*y(q) + j(q). Let d be f(-5). Solve -2*o + 5 = -d*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 141. Suppose -5*o + j = -4*q, -3*o + 4*o - 10 = -4*q. Solve -7 = -6*x + 4*x - z, 3*x + 3*z - o = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23510)\/(-58775))\/(1\/(-6)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*m - 143 + 134, 5*h = -2*m + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-11)*b*b\/b**12*b)**(-17) assuming b is positive.\nAnswer: b**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihih when four letters picked without replacement from ihiihxhiihh.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.07022 plus -1.18771623?\nAnswer: -4.25793623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j. Let d(b) be the third derivative of -b**4\/12 - 29*b**2. Determine d(a(v)).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(-5 + (5 + 3 + sqrt(448) - sqrt(448))*-4))**2.\nAnswer: 21899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142160914.7736 + -0.3.\nAnswer: 142160914.4736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*d = 9, -3*s + 4*d = 2*d - 3. Solve 5*u = -s*k + 16, 8*u + 23 = 12*u - k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50918 = -14*a - 0*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(147)*-1*5)\/sqrt(3))\/(1*6*(-2*sqrt(112) + sqrt(112))).\nAnswer: -25*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**3*o\/o**(-13)*o*o*o**(-10)*(o\/(o**10*o))\/o assuming o is positive.\nAnswer: o**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001390515 rounded to 7 decimal places?\nAnswer: -0.0001391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -269.\nAnswer: 5\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 663577 divided by 3?\nAnswer: 663577\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67062.71 * -0.03.\nAnswer: 2011.8813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58481 (base 15) to base 2.\nAnswer: -1000100101000111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2 + 0 + 5)*2 - ((-2*(2*sqrt(720) + sqrt(720) - sqrt(720)) + -3)**2 + 0).\nAnswer: -11519 - 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 79*x**2\/2 - 7*x - 12. What is the derivative of n(m) wrt m?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 23. Suppose h*s + 4*x - x - 18 = 0, s = -3*x - 6. Suppose 0 = c + 1 - 5. What is the highest common factor of s and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16230 is divided by 5405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**2 - 152*l + 56. Let q be c(-22). Sort -5, -11, 0, q.\nAnswer: -11, -5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -5)\/(12\/(-20)). Suppose -y*v + 2*v - k + 5 = 0, -4*k + 4 = -4*v. Let f(q) = 36*q + 1. What is the tens digit of f(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -2*l + 42. Suppose -4*q + l = 9. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 1. Let y be m(-1). Let k be (-3 - -5)\/(2\/y). Is 38\/6 - k\/(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let y(l) = l + 2. Suppose 6 = -4*w - 2*k, -2*k - 2 = -5*w - 5. Let a = w - -3. Let b(h) = a*r(h) - y(h). Let q(j) = -14*j. What is b(q(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010285627 to 7 decimal places.\nAnswer: -0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 + 47412*s**2 - 1617412*s - 9271860 = 0. Calculate s.\nAnswer: -11887, -5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2009, 7168, 15459, 26864, 41365, 58944, 79583, 103264?\nAnswer: 129969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-14 + -39 + 15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**3\/3 - 4. Let s(w) = -8*w**2 - 5*w**2 - 8*w**2. Determine p(s(f)).\nAnswer: 441*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i + 509 = -151. Let q(z) = z + 14. Determine q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*r = -28, -24 = -3*f - 3*r - 0*r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/130 and 51\/186338390.\nAnswer: 2422399070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*b**3 + 625 - 585*b**3 - 625 + 308*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 13*x + 17. What is the lowest common multiple of z(-12) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-6)\/4 - (-5)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5614.232km in nanometers?\nAnswer: 5614232000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let v(b) be the first derivative of 5*b**6\/72 + 19*b**3\/3 - 15. Let i(o) be the third derivative of v(o). Determine i(y(h)).\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**2 - 27*y + 183*y**3 - 183*y**3 + 63*y**5 + 2*y**2 wrt y?\nAnswer: 3780*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(8) + -4)*3)**2*6.\nAnswer: -3564 + 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121001 + -2?\nAnswer: 120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-195)\/10 - -2)*4336\/(-20)?\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*y = -2*y, -3*p - 5*y = 0. Let v be 6 - -1 - (-5 - -2). Let n be 10\/4 - 15\/v. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/5*(-30)\/(-75)*(-525)\/588.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*q**4\/9 - 22064*q**3\/9 - 418144*q**2\/3 - 1412096*q\/9 - 401408\/9.\nAnswer: -2*(q + 112)**2*(7*q + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12209795*q - 8058451 wrt q.\nAnswer: -12209795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 49.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34801501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 2121*y + 9392. Let q(r) = r**2 - 537*r + 2348. Let c(s) = 4*k(s) - 18*q(s). Factor c(u).\nAnswer: -2*(u - 587)*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.4 + 0.6. Let n = 2.281 + 0.019. Let x = n - -0.7. Sort 4, v, x in decreasing order.\nAnswer: v, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11025*u + 5514*u + 5513*u. Let o(j) = -1400*j**2. What is o(r(h))?\nAnswer: -5600*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = -3*z, -z - 7*j = -2*j + 8. Suppose 4*m - 2 = 3*m. Calculate the remainder when (-1 - m\/8)*-28 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975693239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/4)\/((-1397)\/44 - -32)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*v - 382*v - 132*v - 79*v + 2*v**2 - 140*v as h*v + d*v**2 + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/35479 and 20\/323.\nAnswer: 674101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (15 - (11 - (11 + -9 + -10)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 1, b: 4, p: 10, m: 4}. What is prob of picking 1 p and 1 l?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147888 + -59155113\/400. Find the common denominator of 83\/200 and d.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**11 assuming o is positive.\nAnswer: o**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123\/20 + -23\/4. Let v = -10.78 + 1.88. Let p = 9 + v. Sort p, r, 0.3 in decreasing order.\nAnswer: r, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((34\/(-765))\/((-1)\/(-40)*-12))\/(1\/(-3)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 248\/12 + (-2)\/(-6). Let f = 37 + -33. Suppose -f*t = 6*j - 2*j, 3*j - 2*t - 15 = 0. What is the highest common factor of i and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 12*z - 15 = -q, 0 = -3*z - 12. Solve j - 18 = -5*t, 29*j - q*j = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 47382638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gugguggggggggggugg. Give prob of sequence ug.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162*p + 247*p + 346*p)*(4*p - p - 2*p).\nAnswer: 431*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 18*j - 9. Suppose 0*p = j*s + 4*p + 6, -10 = -2*s + 2*p. Solve 4*q - 15 = s*b + 3*b, 5*b - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 - -6. Let h be -15*(-19)\/2565 - 6\/(-27). What is the third smallest value in k, 0.08, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - u = -1 + 6, 4*u - 16 = 0. Let y be (-10)\/15 - 42\/h. Solve -2 = -v - v - r, -y*v - r = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -15 (b) 2951 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: What is the first derivative of -58965*h**3 + 183*h + 90878860?\nAnswer: -176895*h**2 + 183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*i + 19. Let q(v) be the first derivative of -v**2\/2 - 2. Let l be q(0). Solve -g - 2*w = -1, l = 3*g + w + 2*w + i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + (-7 - 2 - -16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 + 4*f**5 + 4*f**5)*(6 + 1 - 4).\nAnswer: 21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670285, 1341046, 2011807, 2682568, 3353329?\nAnswer: 4024090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/17 + 11320*q**2\/17 - 11326*q\/17 - 1332 = 0. What is q?\nAnswer: -5661, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose -2*w + 5*r = -24, w + 4*r = -8 - 6. Let b be (-10)\/12*w\/(-5). What is the second biggest value in b, z, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.5 + -105. Which is the closest to 0.5? (a) r (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.05 - 14. Let w = 0.0605 - b. What is w rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225039 is divided by 7074?\nAnswer: 5745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 417?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 1\/3*t**4 + 0 - 6*t**2 + 0*t + 0*t**3. Let z(c) = c**2. Determine h(z(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {t: 2, x: 1, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15603859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 849*z\/5 + 1694\/5.\nAnswer: (z - 847)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 678329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 8*b**2 + 8*b. Suppose -l + 2*l + 5*s = 14, -3*s + 12 = l. What is n(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/95 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 7?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 79265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**4 - 224*q**3 + 4840*q**2 - 8992*q + 4380 = 0. What is q?\nAnswer: -73, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from tsttsnz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34 from -166.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 3*i - 3. Let k be l(2). Let a be 2*k - (-6 - -2). Suppose 230 = 7*q - 2*q - 5*z, q - 48 = a*z. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29184 - -29186. Suppose -s + 35\/2*p**2 + 2*p = 0. What is p?\nAnswer: -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a51 (base 16) in base 12?\nAnswer: -b015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 17*q = -30*q - 423 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(68)\/sqrt(4) + -5 + 5*5*sqrt(119)\/sqrt(7)).\nAnswer: -26*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 29 - z**3)*(520 + 6*z - 19*z**2 - 522 - 4*z).\nAnswer: 19*z**5 - 2*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1681*b - 2 - 2 + 1860*b)*(1 + 0 + 2).\nAnswer: 537*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 22, 0, 4, 10.\nAnswer: -5, -4, 0, 4, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3) - sqrt(3)*-1) + ((sqrt(2) - (0 + sqrt(2))) + 2)**2 + (5 + sqrt(6)\/((sqrt(15)\/sqrt(5) - sqrt(3)) + sqrt(3)) + 3)**2.\nAnswer: 33*sqrt(2)\/2 + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270792 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25425138 divided by 12712569.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-266)\/(-84))\/19*(-12)\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) - 8\/(-3). Let s(v) = 20*v - 5 + 16*v + 8*v. Is s(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(30) - 3*sqrt(120))\/((sqrt(60)\/sqrt(2))\/sqrt(3)))**2.\nAnswer: -40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -284 (b) 2\/9 (c) -26 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 - 133?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + -5. Does u = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 42.2. Let l = q - 7.2. Let m = 0.5 - -2.5. What is the second smallest value in 2, l, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43937234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*j, 5*j = 2*p + 6*j - 9. Suppose -p*w + 52 = y, -5*y = -5*w + 62 + 38. Calculate the remainder when 101 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 55853?\nAnswer: -2\/55853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -23 + 2*v + 47 - 22. Let z be r(-1). Solve 5*q - 2*q = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h - 26*h = 4*l + 24, 0 = 2*l + 4*h + 40 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, w: 1}. Give prob of picking 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/(5\/(-60)). Let g = c - 2. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -863 or -862?\nAnswer: -863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 106*s**7\/105 + s**6\/120 + 515*s**3\/3 - 54*s**2 + 2. Differentiate u(c) wrt c.\nAnswer: 848*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12626850.\nAnswer: 2, 3, 5, 84179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 15*o + 0*o + 22 = 0, -4*h = 2*o - 56 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4096\nAnswer: -1\/4096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -93, -138, -173, -192, -189, -158?\n\"Answer: q**3 - 4*q**2 - 44*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**5\/12 - 5*m**4\/24 + m**3\/3 - 17*m**2. Let h(u) = 2 - 4*u + 630*u**2 - 636*u**2 - 1. What is 2*g(w) - 3*h(w)?\nAnswer: 8*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-760*p**2 - 499*p + 499*p)*(0 + 0 + p**3 + (-4*p**2 + 2*p**2 + 3*p**2)*(2*p - p + 0*p) - p**2 + p**2 + p**3).\nAnswer: -2280*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -10. Is -0.04 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s*s*s**(-17)*s)*s**17 assuming s is positive.\nAnswer: s**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157983 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*l**6 - 128*l**4 + 331*l**3 - 2445*l**2 + 12824*l wrt l?\nAnswer: 7320*l**3 - 3072*l + 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 4) + 9*8\/24. Suppose -3*j - 63 - 150 = 3*p, -4*j = r. Are -143\/2 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 - 27*u + 12. Let j be o(2). Sort j, -19, 5, 0 in descending order.\nAnswer: 5, 0, j, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*p. Suppose 3*c - 4*i - 9 = 0, 3*i = 6 + p. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/11 (b) -0.2 (c) -3\/5 (d) -252 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2487*o**5 + 9*o**4 - o**3 - 2538*o**2 - 11?\nAnswer: -149220*o**2 + 216*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -54. Let x = -6 - l. Calculate the greatest common divisor of x and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0*s**2 + 0 + 17*s - 3\/2*s**3. Let x(r) = -3*r**2. Determine l(x(f)).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1 + sqrt(396))*2 - ((sqrt(396) - 2*sqrt(396)) + -5)) - (4 + (sqrt(396) - (sqrt(396) + -1 + sqrt(396)) - sqrt(396)) + 1*sqrt(396) + -4 + 3))**2.\nAnswer: 240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -213247*n**2. Let f(i) = -2*i. What is r(f(y))?\nAnswer: -852988*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 382720 to the power of 1\/2, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11979207*m**2 + 532268650*m.\nAnswer: 23958414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1446, -1451, -1448, -1437, -1418, -1391?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 20 - 30. Let j = 53 + -47. Let z = 2 + -2. Solve m + 3*l = -q + j, -4*m - 3*l - 11 = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -2705 - 13139. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-12 + 0 - (-86 + 68))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 + -4 - (-6 - (-14 + 0))) + (-3 - -7).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 8*v - 9. Let p(q) = -29*q + 2. Let h be p(-2). Let i be ((-1)\/(-2))\/((-5)\/h). Let g be x(i). Solve -g*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/70 + 4\/14. Suppose 3*g - 1 - 8 = x. Suppose g*a = 8*a - 15. Solve -a*r = -5*i + 37, r = i - 4 - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 + (-3 - 81\/(-12)). Suppose -d + 1588 = 4*p - 2*d, 0 = 5*p + l*d - 1985. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 2. What is a(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 4}. What is prob of sequence jj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/8)\/((-3)\/(-210))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((328\/123)\/((-20)\/24))\/((-2)\/(-3)*3)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = r + 2*i, 73 = 3*r - 5*i. Let z be 6\/(-15) + r\/15. Factor -4\/3*l - 2\/3 - z*l**2.\nAnswer: -2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f + 1. Let t(c) = -4*c**2 - 4*c - 6. Let h(l) = -6*j(l) - t(l). What is z in h(z) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79607 divided by -1\nAnswer: -79607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(98) + 0)**2 - (sqrt(98) + (-4 + sqrt(98) + sqrt(98) + 2 + sqrt(98) + sqrt(98))**2) - (3 + -2 + (sqrt(10)\/sqrt(5) + 2 - sqrt(2)))) + 0.\nAnswer: -1476 + 91*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*m = 5*z + 36, -4*z + 3*m = 29 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1952007783 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857202 (base 10) in base 16?\nAnswer: 2b98f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2236*z + 94 = -2189*z. Which is the fourth smallest value? (a) -1\/3 (b) 0.5 (c) z (d) -160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000055029711 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-10) - (-2)\/4. Let j = 105 - 527\/5. Suppose -2 = 5*f - n + 3, 0 = 2*n. What is the nearest to p in -2\/17, f, j?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*p + 5 + 6, -3*p = 2*z - 3. Let s be p + (-4 - -1) + -1. What is the units digit of (s\/(-10))\/((-2)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.199 rounded to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/7162542 and -107\/795838?\nAnswer: 7162542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h - 6 - 104370*h**2 + 102601*h**2.\nAnswer: -1769*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {w: 1, g: 3, r: 4, x: 2, v: 1, y: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63415 - 63415 - 49*j + 46*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -6 - (26 - (20 + 17))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 37. Let j = 440\/7 - l. What is the biggest value in -0.3, 0.07, j, -3\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 119*a**5\/10 + 54*a**2 - 455*a. What is the first derivative of u(t) wrt t?\nAnswer: 714*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11624a7 (base 11) to base 16\nAnswer: 1ee129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60359626.\nAnswer: 2, 41, 736093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 20, -297*t + 299*t = 5*q + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85147.\nAnswer: 85147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11794, -92530, -311146, -736582, -1437778?\n\"Answer: -11490*t**3 - 306*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179553 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 9*n + 9. Let g be x(-8). Let q(a) be the first derivative of 0 + a - 1 - 2*a**2 + 0*a. Determine q(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164 + -22223603?\nAnswer: -22223406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o - 2 = w + 65*o, 5*o - 13 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a92b3 - -3?\nAnswer: 5a92b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 19 = -4*x + 45, -15*n - 2*x = 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 602.5474l?\nAnswer: 602547.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 - m. Let t(h) = h**3 - h**2 + h. Let d be t(0). Suppose 3*r - 5 - 4 = d. Calculate the remainder when v(-4) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**25\/a*a*a*a**38)**24)**(-22) assuming a is positive.\nAnswer: a**(-33792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3204, -6410, -9616, -12822?\n\"Answer: -3206*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 445, 3, -1, 51, -7, 2 in increasing order.\nAnswer: -7, -1, 2, 3, 51, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.253?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 371 - -0.05.\nAnswer: 371.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 1)\/((-1)\/(-2)). Suppose p + p + 4*s + a = 0, 0 = -4*p - 4*s - 12. Let i be 6\/(-28) + (-1)\/(-2). Is p at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69882209 + -0.4\nAnswer: -69882209.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1 - (1 - 1). Let r = h - -5. Let w = r - 4. Which is smaller: w or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.998 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-108)*(-27)\/(-2)*(-3728)\/(-699).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 11 (b) 2 (c) 0.3 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21214*q - 95010*q + 5 - 5.\nAnswer: -73796*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.35 - 0.2. Let v = l + -0.2. Let j = -19 + 22. Which is the second biggest value? (a) v (b) j (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -4*c - 3*y, 47 = -5*c - 11*y + 7*y for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1542478695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11104, -22216, -33344, -44494, -55672, -66884, -78136?\n\"Answer: -s**3 - 2*s**2 - 11099*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 4.5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 10. Suppose -o = -r + 4*r + 4, -2*r + h*o = -3. What is the units digit of (-2 - r)*(-75 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-1))\/(56\/28))\/((-18)\/(-8))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4348.0065 rounded to the nearest 10?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**3 + 21*w**2 - 27*w - 10. Let h(d) = -11*d**3 + 32*d**2 - 41*d - 15. Let i(j) = 8*a(j) - 5*h(j). Let r be i(6). Is r >= 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) + 0))**2*4 + -4*(sqrt(252) + 3 + sqrt(252)).\nAnswer: -48*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(-2) - (-20)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 51. Suppose -99 = -q - b. Let h = 98 - q. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**6\/360 - 19*d**4\/12 + 4*d. Let k(i) be the third derivative of z(i). Let l(r) = 21*r. Give k(l(g)).\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and 16236.\nAnswer: 16228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + 66\/9. Suppose -9*p = -k*p + 32. Let z = p + 16. Solve 0*u + 5*i + 17 = 4*u, z = 5*u + 2*i - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 11. Let m = 28 + -43. Let q = f - m. Solve 0*w = -2*w + 2*n, n - q = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 71. Let n = -28 + j. Put 3, -5, n in descending order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*b = -767797, 28*q - 25*q = -4*b + 460655. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 19\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 20155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/(6\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 13)\/(-2) + 8. Put -2, -143, s, -4 in decreasing order.\nAnswer: s, -2, -4, -143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y**2 - 309*y - 210.\nAnswer: 3*(y - 35)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**3 + 11*l**2 + 15*l + 31. Let n(f) = -5*f**3 - 6*f**2 - 8*f - 16. Determine -11*n(k) - 6*y(k).\nAnswer: k**3 - 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 42*j + j**3 - 13 - 14*j - 7*j**2 - 21*j. Let y be q(7). Differentiate 11 + 2587*f - 2587*f + y*f**2 with respect to f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -16, -17, -18?\n\"Answer: -g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1 (c) -27072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**2 + 0*u - 6*u**4 + 0*u + 0*u**2 wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 403\/(-52) + (-2)\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2112 and 9152.\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - y - 3*y)*(209 + 693 + 375 - 262 + 160) to the form s + g*y and give g.\nAnswer: 1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0 + 1\/24*c**4 + 1\/2*c**3 + 0*c - 3*c**2. Calculate w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*j**2 + 75*j - 3*j**3 + 15*j + 266*j**2 - 128*j**2 + 5*j in the form h*j**3 + p*j**2 + n + t*j and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 4. Let t be l(-3). Let r be 6*(-5)\/70 - (-8)\/(-14). Put t, r, 5, 0 in increasing order.\nAnswer: r, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8790*p - 209. List the prime factors of z(1).\nAnswer: 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p. Let h(w) = w**3 - 2*w**2. Let m(q) = q**2 + 6*q - 5. Let v be m(-7). Let t be h(v). Let j(r) = t*r**2 + 4*r**2 - 6*r**2. Give u(j(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c + -d3?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/29 + 64\/87. Let k be (-2)\/(-8) - (-3)\/(-60). Let w = -6\/7 + 8\/7. Which is the nearest to 0.1? (a) k (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4404514, -4404461, -4404408, -4404355, -4404302, -4404249?\nAnswer: -4404196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0. Let q = 88.5 + -88. What is the nearest to u in q, -2, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 3228.\nAnswer: 22596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -5 (b) -4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1044916 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/42)\/((-6)\/16).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 2. Let n(i) = 4*i - 1. Let o(a) = -5*n(a) + 6*t(a). Let h be o(-3). What is the closest to h in -2\/9, -5, 4\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from tott.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1472 by -151.\nAnswer: -1472\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625232637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, -66, 25, 8 in descending order.\nAnswer: 25, 8, 1, -0.5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q - 5*q - 3*q**3 + q**4 + 4 - 3 in the form l*q**3 + b + m*q + w*q**2 + y*q**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 15.07. Let i = -323.4 + 323. Sort d, i, -2\/19.\nAnswer: i, -2\/19, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -0.2887, 15\/4?\nAnswer: -0.2887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/2, 280.74, 911?\nAnswer: 280.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 10055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:07 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -35. What is the common denominator of 55\/24 and x\/24 + 5\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -898*x**4 + 4*x**2 - x - 5*x**2 - 2 + 2*x**3 - 3*x**3 + 924*x**4 to v + a*x + t*x**2 + j*x**4 + f*x**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165254798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 45. Suppose 4 = -s + m. What is the remainder when 208 is divided by s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37.53, 1.5, 2, 270, -3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114672461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 521.4453 micrometers?\nAnswer: 0.0005214453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/3 of a hour in minutes?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1 + 0 - 5*i + 0*i + 6. What is the units digit of d(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0934 in -10, -0.5, 0, 1.2, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxs when three letters picked without replacement from {f: 1, s: 1, x: 1, c: 1, a: 5, v: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*m**4 + 3007*m - 3007*m)*(1 + 2 - 1)*(5*m + 29 - 27 - m).\nAnswer: -296*m**5 - 148*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245336*g**3 + 3339*g**2 - 2*g?\nAnswer: 1472016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133*-1.7.\nAnswer: 226.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -20*q - 383. What is n(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 7 - -3 - (7 + -2). Let t = 4 + -4. Put 4, t, i in ascending order.\nAnswer: i, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 0 - 3 + 0*k**3 - 4*k**3 + 5*k**3 in the form l*k + u*k**2 + q*k**3 + w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.01 + 3. Let r = x - 0.29. Sort r, -8, -4 in descending order.\nAnswer: r, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 48, 81, 132, 207, 312, 453, 636?\n\"Answer: s**3 + 14*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1815731089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 51\/40*k**5 + 11\/8*k**3 + 0*k - 63\/32*k**4 - 5\/16*k**6 - 3\/8*k**2 + 1. Factor s(c).\nAnswer: -3*c*(c - 1)**3*(5*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(3))\/sqrt(5))\/(1*sqrt(18)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75.227 and -3380.\nAnswer: 254267.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -694465.32422801 - -0.4.\nAnswer: -694464.92422801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.645124km?\nAnswer: 645124000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - (-5 + (-8 - -38) + (1 - (20 + -7)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 - -256. Let f = -91.5 + q. What is f rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 7. Let n be x(-4). Suppose v - 4 = n*v. What is the tens digit of 110\/4 - (-3)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*m + 51*m - 86*m - 57)*(-2*m - 2*m + m)*(2 + 5 - 5).\nAnswer: 42*m**2 + 342*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -13 + 22 - (19 + -17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0402774 less than or equal to -2\/3881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjjajjaajjajj. What is prob of picking 4 j?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11268)\/756 + 15)\/(-1*24\/162).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 690 = 5*j, j + 14 = l + 159. Let v = 208 - j. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 + 11 = 0. Solve 0*k**l - 2\/7*k**4 + 2\/7 - 4\/7*k + 4\/7*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20268 - -20275. Let v = -22 + 41. Let u = 7 + v. Calculate the remainder when u is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2720 and 1700.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 1230\/70)\/((-1)\/7). Solve 0 = 48*p - s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 110120111112?\nAnswer: 110120111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 571126?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -834 + 302. Let y = l + 948. Let b = -289 + y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00834 to four decimal places.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzzzzzzzzzxzxzx. Give prob of picking 2 z and 2 x.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -9) + (1 - 0) + 8 - -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 3*k + 6. Calculate z(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -9. Suppose -3*a = -h*a. Does 4 divide (-2)\/(a - (-3)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*r**3 + 7384074*r**2 - 20716002774*r - 62966642 = 0 for r.\nAnswer: -1\/329, 5611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(176\/(-638)*-29)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766167050 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*(-42)\/1. Let u be -1 + (50*-1)\/(-2). Suppose -2*p + u + o = j, 2*p - 58 = -4*j. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.189473 - -25.868.\nAnswer: 26.057473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23384 by -8.\nAnswer: -2923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587207?\nAnswer: 79, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(50) - (sqrt(98) + 4)) + -5*(sqrt(88) + sqrt(88) + -1*sqrt(88))\/sqrt(11).\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Let z(q) be the second derivative of -q + 1\/24*q**4 + 1\/24*q**3 + 1\/80*q**s + 0*q**2 + 0. Factor z(r).\nAnswer: r*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b - 12*b + 8 + 37 + 1 - 1 - b + (-2*b - 2*b + 6*b)*(-5 + 3 + 3) + 2*b + 0*b + b to the form x + j*b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1267\/4 - 316. Let z(o) = o**3 + 2*o**2 + 5*o + 5. Let c be z(-2). What is the third smallest value in c, 3, v, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 8. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3853842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 428, -1499, -3, -4, -2\/3?\nAnswer: -1499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a micrometer in nanometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(363)) + -3*(sqrt(363) - (sqrt(363) + 2*sqrt(363))))**2 + 1 + sqrt(363) + 1*(sqrt(363) - -4*sqrt(363))**2.\nAnswer: 363*sqrt(3) + 14900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308257791 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-4)\/(-4))*(1 - 1). Suppose 5*x + 25 = j, 20 = -5*z - 11*x + 6*x. Suppose 36 = -2*a + 30. Put a, z, 5 in ascending order.\nAnswer: a, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -19. Suppose -j + x = -4. List the prime factors of (-385)\/(-10) - 3\/j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + -1 + (6 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5748 and 246?\nAnswer: 235668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -11, 0, -4 in descending order.\nAnswer: 5, 0, -4, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let r(o) = -5*o - 4. Give r(z) + 2*t(z).\nAnswer: -7*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2 + sqrt(684) + -2 - 1*sqrt(684)*5) + 1)**2 + -4)*5.\nAnswer: 1440*sqrt(19) + 109510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.89 (b) -1\/5 (c) -1 (d) -0.7 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqq when three letters picked without replacement from sjfsjmqmsmqm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 7. Let k(s) = -268 + s + 138 + 134. Give -10*k(g) - 4*q(g).\nAnswer: 2*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -4 (b) 1 (c) 2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 - -1?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 d, and 1 i when four letters picked without replacement from dddrrrriiisiwiirdr.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 400100120132 + 0?\nAnswer: 400100120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(25\/(-5)))\/(15\/(-6))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 163 + 15*h + 157 + (-2 - 2 + 2)*(0 + 2*h + 0) to d + g*h and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, w: 1, c: 3, r: 6, o: 2}. Give prob of sequence wonr.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 565111345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -b + 93, 4*b + d - 267 = -0*d. Suppose 3*t - 1 = b. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17232 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 4*d - c, 82 = 5*d - 0*d - 4*c. What is the remainder when 305 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 2)\/(-9 + 85775\/9530) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*x**2 - 10*x + 10*x - 9*x**2 as a*x + v*x**2 + h and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 915 = -3*c, 2*c + 1525 = 7*c + 5*y. Let t = c - 94. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000671271016 to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14516 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)*k\/k**(4\/9)*(k\/k**(1\/6))**(1\/16) assuming k is positive.\nAnswer: k**(-2129\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:42 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*j + 8, 4*j + 57*x - 11 = 60*x. Let v(n) = -13*n + 13. Give v(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhann. What is prob of picking 3 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16807*l = 5926*l - 1363980 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**2 + 42 - 42 + (-379 - 456 - 272)*(-h**2 + h**2 - h**2) to the form n*h + o*h**2 + c and give o.\nAnswer: 1119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10 and -17\/1987.\nAnswer: 19870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1235.5923 to zero dps.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - 4*x**2 - 6*x + 8. Is r(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 864 by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 29. Let x be z(12). Put x, 26, 4 in descending order.\nAnswer: 26, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3294403?\nAnswer: 7, 283, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-8)\/(-24))*(-60330)\/4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*j + 0 - 16\/7*j**2 + 10\/7*j**3.\nAnswer: 2*j*(j - 2)*(5*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7 + 2 + 6. Let b = 109 + -106. Suppose -b*v + 4 = 19. Let a(y) = 3*y + 4. Calculate v*z(h) + a(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5351 divide 21500318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22904689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 + 58*h**2 + 47*h - 330. What is u(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**3 + 20*r**3 + 15*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 + 28 = -4*u, 0 = 2*q - 2. Let v = -6 - u. Find the first derivative of 2*h**4 - v + 2 - h**4 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 888, 941, 998, 1059, 1124, 1193, 1266?\n\"Answer: 2*i**2 + 47*i + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 - 121*q - 91. What is the remainder when m(-35) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/8 (b) 14 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*u + 23 = -0*u, 119 + 150 = 6*x - 5*u + 223 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -70 - (-197 - (-241 + 35)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455212259.\nAnswer: 9643, 358313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p + 2. Suppose -p*z = 5*f - 60, -3*z - 54 = -5*f - 2*z. Calculate the highest common factor of 121 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -24*h**2 - 5*h. Let i(s) = -16*s**2 - 3*s. Suppose 4*f + 5 = -3, 5*k + 46 = -3*f. Let u(t) = k*i(t) + 5*g(t). What is u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 4*a - 4. Let n be j(3). Let f(r) = 5*r**2 + 2*r + 1. Let m be f(n). Which is smaller: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 2*c + 1. Let b(f) = -2*f**2 + 11*f - 5. Let g(o) = -3*o + 1. Let i(d) = -b(d) - 4*g(d). Determine 4*i(y) - 3*p(y).\nAnswer: 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -239 - -747. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45240140 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.634797 - -15962451.634797. Let s = y + -15962446.6400346. Let o = s - 1.36. Round o to 6 dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 62.6432 grams?\nAnswer: 62643.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-3)\/((-36)\/22). Let n = -27 + 25. Which is the smallest value? (a) n (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -38.9, 0, 0.0141, 0.4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f + 82 + 3*f**2 + 2*f**3 - 82 as q*f + i*f**2 + r*f**3 + b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 198047018 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*r + 16, 6*i + 16 = i + 4*r. Let x = -5 + i. Let u(v) = 3*v + 3. What is u(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57345013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21220011020002 (base 3) in base 4?\nAnswer: 100000103213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8*u + 24 - 64 = 0, -20 = -158*o + 4*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 6 + 9. Suppose -k*g + 264 = 3*n, 0*g - 324 = -4*n + 3*g. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let h be (-4 + -2)\/(-3)*1. Let w(k) = -194 + 194 - 82*k**h. What is u(w(v))?\nAnswer: -82*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqqqqvqqqvqqqqvqqq. Give prob of picking 3 v and 1 q.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906662975.\nAnswer: 3, 5, 7, 41, 283, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose 5*b - o*h = 4, -h = 2*b + h + 2. Solve 0 = 4*k - 3*u + 17 - b, 5*u = -2*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 11*m - 6. Let i be k(-12). Let g be (i - 3)\/1 - 0. What is the third derivative of 3*l**2 + 4*l**3 - l**3 - 2*l**3 + 0*l**g wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-27*y**2 + 12 - 12 + (-4*y + 0*y + y)*(-y - 3*y + 2*y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 1766*k - 1776*k - k**2 - 8. Calculate the remainder when 27 is divided by n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x = -6*x + 99 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**3 - 5 - i**2 - 5*i - 2*i**2 - 2*i**2 - i. Let z(r) = r**3 - r**2 - r - 1. Give -b(y) + 5*z(y).\nAnswer: -2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 16256103?\nAnswer: -16256065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-203.\nAnswer: 81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 33\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 15. Let o(a) = -2*a - 111. Let b(w) = -7*g(w) + o(w). Let k(d) = -58*d + 17. Give 17*b(n) + 6*k(n).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/56 + 74\/14. Suppose -r = i - 12. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21652 and -255507?\nAnswer: 277159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 6. Let v be r(-9). Let q be (-3)\/((-138)\/44 - v). Suppose -q = -4*y + 6. Sort 1, y, 5.\nAnswer: 1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c + 1. Let b(y) = -35*y**2 + 10*y - 10. What is -b(u) - 10*t(u)?\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222334 (base 8) to base 7.\nAnswer: 431402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, z: 6, q: 3, c: 4, t: 2}. Give prob of sequence tq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let i(a) = 3*a**2 - 30*a. Let f(g) = -i(g) - 15*z(g). Let h(y) be the second derivative of -19*y**3\/6 + 5*y. Calculate f(h(t)).\nAnswer: -1083*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - s = 28, -i + 3*i - 2 = 5*s. Calculate the least common multiple of 4 and 16\/(-24) - (-136)\/i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*q**2 + 228*o**3*q - 2*o**2*q**3 + o**2*q + 138*o*q**3 wrt q.\nAnswer: -2*o**3 - 12*o**2*q + 828*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12001109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 424125997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d - 2*d**3 + 0 + 0 + d**4 - 3 + 7*d to the form j*d**4 + b*d + l*d**2 + g*d**3 + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -14. Let o = -3 - -2.8. What is the nearest to o in b, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(-1\/2)*n*n))\/(n*n\/(n*n**3))*n*n**(-3\/4)*n*n**(-5)*n*n*(n**(-7)\/((n**4\/n)\/n))**(-12) assuming n is positive.\nAnswer: n**(423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooomooooooooomooo. Give prob of picking 1 m and 2 o.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/5)\/((-3)\/15). Suppose -425 - 334 = -b*g. Calculate the greatest common factor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 894 - 84 - 38 - 2409 - 2939 to m + z*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 6. Let s be g(-4). Suppose 2 + 18 = s*v. Calculate the least common multiple of v and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6*j. Let r be (0 - -1)\/((-1)\/(-7)). Suppose j = 4*p - r*p + 24. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58851069726317487166\/18721186694158343307 - -313\/3993509826069. Let z = q + -7426\/2279. Let a = z - 1\/363. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)*((l**(-1\/5)*l*l)\/l)\/l*l**(-2\/5)\/(l*(l\/l**(-2))\/l))**(-17) assuming l is positive.\nAnswer: l**(2397\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26430 by -5.\nAnswer: -5286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52231 - 5376. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 11*m + 21. Give c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3194583 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874.0054m to millimeters.\nAnswer: 874005.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(92\/(-15134)*47)\/((-6)\/(-112)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2150 = 24*o. Suppose o*z - 20 = 91*z. Suppose -2*h = -2 - 4. Which is the nearest to z? (a) 2 (b) h (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, 5.\nAnswer: -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000527425754 to six decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308362 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -13. Suppose -m = 2*m - 69. Suppose 4*r = -3*h + m, 15 = 3*r + 2*h - 2. Sort r, 1, y in descending order.\nAnswer: r, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6564992 and 487424.\nAnswer: 210079744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167387 + 297208. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/12*8\/(-3). Let a(c) = c**2 - 2*c. Let d be a(y). Solve d*b = -2*j - 4*b + 8, -4*j - 20 = -b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8533760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62.02 - 51.02. What is the second smallest value in n, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41 - 0.81. Let w be 3\/(-6) + (-7)\/(-2). Suppose 3*a - 2*a = 5*r - w, -a = 2*r - 4. What is the nearest to 0 in a, 3\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 178723944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/117 and 161\/2515500?\nAnswer: 2515500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 610?\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 10*s**2 + 4*s - 18. Let n be y(-8). Let w = 252 - n. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-4)\/(-324)*3*(-18)\/82.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -325064 and -325060 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*n + 75*n - 30*n**3 - 231*n + 77*n + 28*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223330201 + 11?\nAnswer: 1223330212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770879 plus -17527?\nAnswer: 1753352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*g - 1 - 345*g - g**2 + 1 - 595*g as x*g + k + u*g**2 and give x.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(-276)*1\/2)\/(83457\/(-20232)).\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 369\/24 - (8 + 6 - 8). Solve -q*t + 125\/8 + 15\/8*t**2 - 1\/8*t**3 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, -94, -208, -230, -130, 122?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 32*d - 7. Suppose -22 = -2*n + 2*b, 0 = -5*n - 3*b + 9 + 6. Is k(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*4*4\/(-24). Solve -z*x + 5 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54319896 and 1320.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165.4 - -19.4. Let o = f - -66. Let x = o - -80.000079. What is x rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4045303 plus -17959774?\nAnswer: -22005077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 9*t**6\/2 + 3*t**4\/4 + t**2\/2 + 38*t + 36. What is the second derivative of f(u) wrt u?\nAnswer: 540*u**3 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3871983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -702441.9.\nAnswer: -702438.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 0*y + 2*y)*(-4 + 4 - 4)*(0*y**2 - y**2 + 2*y**2) + (-1 + 1 - y)*(y**2 + y**2 - 3*y**2) + 2*y**3 - 1 + 1.\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-21)*6 + 3*(-14)\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51181?\nAnswer: 13, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52729602 to the power of 1\/2, to the nearest integer?\nAnswer: 7262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*1\/(-2) - 3. Let f be 1*l\/150*(-4)\/3. Is 1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1385*t = -1391*t + 8580. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -253, -230, -187, -118, -17, 122, 305?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/38847 and -67\/5313.\nAnswer: 2991219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2879*t + 12105*t + 773*t = 1591457 for t.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*(77 - 73)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 56\/27?\nAnswer: 56\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 2*c**4 + 8 + 12 - 2*c**2 - 22 to p*c**2 + d*c**4 + x + z*c + q*c**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1734 and -65\/10302?\nAnswer: 175134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -590 + 627. What is the remainder when 65 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 5*h. Let d(o) = -o**2 - 4*o - 1. Let t(x) = 3*d(x) + 4*r(x). Suppose -2*g - 4*n + 23 = -5*g, 3*g = -5*n - 32. What is the units digit of t(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4 + (-5)\/(-10). Calculate the remainder when 94\/8 + (-18)\/(-8) + -2 is divided by j + (-4)\/2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 - (-8 - -1) - (-6 - 13).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**3 + 51*c**2 + 12*c + 7 wrt c.\nAnswer: 24*c + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 84. Suppose 3*i + x*w - 64 = 0, 0 = -w + 6*w - 20. Solve -i = -c - 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + 4 + (-41 - -15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**3 - 1457172*y**2 + 2537163*y wrt y?\nAnswer: -12*y - 2914344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -2\/7 (c) -8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1349234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10965, -21933, -32901?\n\"Answer: -10968*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -580, -1583, -3246, -5575, -8576, -12255, -16618?\nAnswer: -21671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/49140296 and 49\/18280.\nAnswer: 245701480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*y - 346*y + 3125892. What are the prime factors of y?\nAnswer: 7, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -a570225?\nAnswer: -a570228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 226518 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 20 = 0, -2*g + 6*g - 84 = -4*i. Solve g*p + 30 = 10*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21149719 to the power of 1\/2, to the nearest integer?\nAnswer: 4599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/13 + 66326388*b\/13 - 549898718140818\/13 = 0?\nAnswer: 16581597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 22 = -5*r, r = 4*r - 4*o - 27. What is the units digit of 43\/r - (-6)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004696 rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/180 - 11*i**4\/72 + 40*i**3\/9 + 1935*i**2. Factor h(d).\nAnswer: -(d - 5)*(d + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*1\/(-16)*2)\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3762 and 3166578.\nAnswer: 34832358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 169. Let w be (-2)\/(-3) - m\/(-3). Let d = 36 - w. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -612153*l**4 - 3010*l**3 - 129 + 874 + 612918*l**4 - 2985*l + 4490*l**2 - 5*l**5.\nAnswer: -5*(l - 149)*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**7\/210 + q**4\/3 + 5*q**3\/3 - 5*q. Let l(j) be the second derivative of n(j). What is the derivative of l(h) wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 127007 + 2?\nAnswer: 127009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 9*p + 27. Let j be n(-11). Suppose 20 = j*x + 5. Suppose -x*o = -234 - 96. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 131. Let u(p) = p**2 + 3 - 2 + 8 - 7*p. What is the lowest common multiple of a and u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 6, 9*z + z + 2*l = -54 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = 30933*u - 30948*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 79656.43 minutes in nanoseconds?\nAnswer: 4779385800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(9\/2 + -3). Let s = 10 - x. Let g = 23 - s. Sort 0, g, -3, 1 in decreasing order.\nAnswer: 1, 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127561732?\nAnswer: 2, 1447, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18610190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000222121 - 2001?\nAnswer: 20000220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {e: 1, h: 3, w: 4, x: 3, d: 6, t: 1}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14.3? (a) 0.3 (b) 5 (c) 4 (d) 0.0379 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/(-28))\/3 + (-19)\/(-4). Suppose u*m - 13*m = -56. Let y = -0.2 + 0.2. What is the nearest to y in 5, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4840, -9686, -14498, -19258, -23948, -28550, -33046?\n\"Answer: 3*g**3 - g**2 - 4864*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*o = -22*o + 3*o - 68 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3711138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -0.3, 5\/3, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 60*s**3 + 113.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/1350*5*(-3)\/(-3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.147869956 and 14?\nAnswer: 14.147869956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 454*u**5 + 2*u**3 + 4*u**2 + 9*u?\nAnswer: 27240*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1540\/1925 - (-1268)\/(-60).\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1256.2 - 1256. Which is the nearest to 2? (a) i (b) -2 (c) 1 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = -14*d + 72 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**5 + 210*c**4 + 2015*c**3 - 81640*c**2 - 1043460*c - 2797520 = 0.\nAnswer: -11, -4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14286999 by -4762333.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y - 48*y + 148*y - 50*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2. Let d(c) be the first derivative of -3*c**2 + 21. Give h(d(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + h = -88 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 20, -2*r + 53*b = 55*b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**16*x\/x**(-21)*x**13\/x*x*x*x\/((x\/((x**38*x)\/x))\/x) assuming x is positive.\nAnswer: x**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + b - 5562 = 0, -59*b + 5550 = 2*j - 55*b. What are the prime factors of j?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000136672 to seven decimal places.\nAnswer: 0.0001367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40 + 357*u**4 - 78 - 3 wrt u.\nAnswer: 1428*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75*1.6\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -377?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 249. Let y(a) = -4*a. What is y(j(x))?\nAnswer: 12*x + 996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -1\/2 (c) -3 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqcqq. Give prob of picking 1 c and 3 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*z - 17*z + 11*z)*(-z**2 - 3 + 3 + (-2*z - 3*z + 3*z)*(-4*z - 3*z + 5*z)).\nAnswer: 3*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 5\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 78835.7 centuries?\nAnswer: 7883.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 8:32 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 + 2*u**5 - 3*u**5)*(3 + 0 - 5) + 0*u**5 + 3*u**5 - u**5 + (3*u**4 - 11*u**4 + 2*u**4)*(2*u + 0*u + 0*u) - 3*u**4 - 3*u**4 - 6*u**5 - 7 + 8*u**4.\nAnswer: -12*u**5 + 2*u**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(931) + -3)**2 + -3 + 1*(2 + sqrt(19)))*4.\nAnswer: -164*sqrt(19) + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -5)*(-2)\/4. Let b(s) = 5*s**2 - 2*s**2 - 4*s**m. Let c(i) = 8*i - 9*i**2 - 27*i + 19*i. Give c(b(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -25 + 28 - 93*-1. Suppose 3*m = y + 301, -4*y = m - 0*m - l. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27141.5582207 - 0.3.\nAnswer: -27141.8582207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/6*12*261\/(-702).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19469.81 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 68996.38g?\nAnswer: 68996380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/3 + 45*q**2 + 58*q + 35\/3.\nAnswer: -(q - 35)*(q + 1)*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26768293 from 1209.\nAnswer: -26767084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 223 + -2003?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 40\/3343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = n, 0*m - 10 = 5*m + 3*n. Calculate the common denominator of 1 + -3 + (-37)\/10 + m and -55\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 51*n - 384. Determine r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(3\/4)*h\/h**(-11)*h)\/(h**(-2\/11))**28 assuming h is positive.\nAnswer: h**(807\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 1, d: 1, r: 2, w: 1}. What is prob of sequence wdp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 157040598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 4 (b) 1 (c) 3 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*a - 10 = 0, 0 = -z + 3*a + 1 - 11. Suppose -l - k - 2 = 0, 0*l - l - 6 = z*k. Solve 12 = -4*j - s, -4*s + 2*s = l*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18034138 to the power of 1\/2, to the nearest integer?\nAnswer: 4247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*g - 1, 2*g - 3*g = 1. Put 4\/5, -0.2, d, 0 in increasing order.\nAnswer: d, -0.2, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 15. Let f be (-2 - n)*(-30)\/35. Which is smaller: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8221966231?\nAnswer: 43, 131, 421, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and 5*3\/(-16830)*(-189)\/8.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((72\/(-8))\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 158361243 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18777\/10 at most as big as 1879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98776 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -69 + -26?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(18*d + d - 2 - 30*d).\nAnswer: 22*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/20)\/(21\/(-5)))\/((-128)\/384)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*a**3 + (2*a**2 - 2*a**2 - a**2)*(-1990*a - 2454934 + 2454934).\nAnswer: 1988*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + ((-66)\/(-36))\/11*-8. Suppose 0 + 0*q + g*q**2 - 2\/3*q**4 + 0*q**3 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j - 46. Let w be z(11). Find the second derivative of 3*l + 7*l**2 - 8*l + 2*l**2 - w*l wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/9145905?\nAnswer: -1\/9145905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778 = 4*r + 138. Let b = -92 + r. Suppose b = 3*t - f, 5*t - 98 = -f + 10. Solve -5*h = -g + t, -g + 3*g = 2*h + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.54 (c) 0.1 (d) 16 (e) -5 (f) 30\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 730*u - 513. Determine b(2).\nAnswer: 947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/15*(-1)\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 119140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -31*t**2 + 17*t + 14. Let h(g) = 54*g**2 - 33*g - 27. Let o(w) = 4*h(w) + 7*s(w). What is o(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h + 1. Let d be (2\/6)\/(1\/(-3)). Let x be u(d). Let a = x - -14. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Suppose 5*q = a - 15, g*a - 6 = -2*q - 0*q. Suppose a*f = -0*f + 5*w + 145, 145 = 5*f + 3*w. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -7*q**6\/30 - 9*q**5\/20 + q**4 + 2*q**3\/3 - 23*q - 32. Let i(m) be the first derivative of j(m). Factor i(c).\nAnswer: -c*(c - 1)*(c + 2)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5225722 is divided by 699?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1732318 and 84?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3474 - -17374\/5. Which is the biggest value? (a) k (b) -0.2 (c) 0 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.2, -2\/21, -2\/22841, 19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*9)\/(-2)*1. Let n be m\/(-45) - 482\/5. Let o = 212 + n. What are the prime factors of o?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262915 is divided by 9057?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -88, -87, -86, -85?\n\"Answer: q - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -10. Let b(p) = -3*p - 19. Let o be b(-7). Suppose o*r + 213 - 591 = 0. What is the highest common factor of d and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2690 + 2862. Calculate the smallest common multiple of j and 387.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70706, 70704, 70702, 70700, 70698, 70696?\nAnswer: 70694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 6. Let p(s) = s**2 - 14*s + 5. Let r be p(k). Suppose y = 2*z - 4*y - 13, -5*y = -r*z + 40. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216420.\nAnswer: 2, 5, 60821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*-3 - 15\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 34146.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:04 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:55 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 158031089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25401 (base 8) to base 10\nAnswer: 11009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1915 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u - 20. Let t be (u\/5)\/(10\/(-25)). Suppose t*f + 12 = 3*f. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20197063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsztmtxmsss. Give prob of picking 1 s, 1 t, and 1 x.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87180471?\nAnswer: 3, 7, 17, 81401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -22*f**2. Let d be (44\/12 - 3)*(16 + 2). Suppose -2*s = 2*c - d, -2*s - c - 16 = -6*c. Let y(h) = 7 + 3 - 10 - s*h. What is y(n(k))?\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.4. Sort 1\/3, r, -3\/7, 3\/8 in increasing order.\nAnswer: -3\/7, 1\/3, 3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2974, 5971, 8978, 12001, 15046, 18119, 21226?\nAnswer: 24373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 2*m**4 - 4*m**3 - 5 + 4*m**4 - m**2 - m**4 - 11 in the form q*m + a*m**3 + s*m**4 + t*m**2 + d and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*x - 12 = -2, -20 = -y - x. Suppose 12 = -y*k + 57. Solve k*s - 8 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1*(-46)\/((-2990)\/(-91))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111343 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2 - 2)*(2*g**3 + 5*g**3 - 2*g**3) + 3595*g - 3595*g - 2992*g**4.\nAnswer: -2982*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from {k: 2, d: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 11. Let j be 3\/((-30)\/(-112)) + 25\/(-125). Let t be f(j). Solve b + 1 = -t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/115, 0.2, -3 in ascending order.\nAnswer: -3, -2\/115, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 640\/(-2)*(-367500)\/(3 + 3). What is m rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9199265 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 7*k - 1. Suppose 0 = -j - 4*b + b - 3, -5*j + b = -17. Let o be (j - (-150)\/(-54)) + (-104)\/(-18). What is m(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3638 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13169?\nAnswer: 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -169255\/17 or -9955?\nAnswer: -9955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 + 378 - h**3 - 373. Let c(r) = r**3 - r**2 + 5. Let g(p) = -4*c(p) + 5*y(p). Let o(q) = -13*q**3 - 9*q**2 - 11. What is -9*g(k) - 4*o(k)?\nAnswer: -2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 13*a + 14*a)*(-4 - 1 + 2).\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyymytyttmyt. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*k - 2*k. Let q be (-4)\/((-4)\/7) + k. Suppose -1 + q = b. Solve b*l + 8 = 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129128418?\nAnswer: 2, 3, 157, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-4)\/384)\/((-66)\/132).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 51134*r**2 + 3060958*r - 3009826.\nAnswer: 2*(r - 25507)*(r - 59)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -49*m + 15. Calculate d(-5).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -19. Suppose -4*u = -b + 4. Calculate the remainder when 55\/(-22)*(-29 - u) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 6, -40 in increasing order.\nAnswer: -40, -27, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -2.412. Let r = 0.1073 + q. What is r rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 893.\nAnswer: -4\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 - y**3 - 2*y**3)*(-6*y + 7*y - 29*y).\nAnswer: -56*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 4*n**2 - 7*n + 2. Let v be s(-5). Let r = v - 1. Solve -3*p + r = 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let m = 2.7 - 2.6. What is the second smallest value in r, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 - -8.81. Let d = -2.31 - -12.31. Let b = z - d. What is the biggest value in b, 0.03, -0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13734 divided by 6\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*a + 20350 = -33*a. Do a and -184 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-12)*16\/36.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3073.5 + 3073. Which is the third biggest value? (a) -1\/4 (b) h (c) -164 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -3eec3?\nAnswer: 3eec5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 9. Let z be (25\/(-15))\/((-2)\/6). Let g(s) = 4*s - 13. Calculate z*g(l) - 7*c(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3531, -7049, -10567?\nAnswer: -14085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9999 is divided by 719?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -354, -1112, -2470, -4626, -7778, -12124, -17862?\nAnswer: -25190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + v - 10 = -3*u, -5*u - 3*v + 46 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 146\/3. Let s = -201 - -228. Let h(d) = -2*d**2 + 56*d - 54. Let g be h(s). Which is the third smallest value? (a) g (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (2 - (-6 - (-2 - 9)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7980548 to 3 dps.\nAnswer: 0.798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.55 and 4.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -87*c - 1. Let i(r) = 44*r. Calculate 5*i(b) + 3*z(b).\nAnswer: -41*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*b*i**2 + 6*b*i + 176*b - 694*i**3 + 4 wrt i?\nAnswer: 34*b - 4164*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.038 - -21.7247.\nAnswer: 21.6867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyycyynyyycnyyyncyc. Give prob of picking 1 y and 3 c.\nAnswer: 52\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -3.9, -1\/4, -1\/6, -0.4 in decreasing order.\nAnswer: -1\/6, -1\/4, -0.4, -3.9, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56640 and 822165?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -1831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 3\/2*y**2 - 13 + 7*y. Determine l(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.9698076 and -0.2.\nAnswer: 1.39396152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 38*y + 72. Let c be t(-2). Solve -8*b - 15 = -5*b, 2*n + 5*b + 21 = c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 222*f**2 + 151*f - 1371. Does 10 divide y(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.36201 kilometers to centimeters.\nAnswer: 2736201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 198*h + 4837. What is k(-33)?\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 6:24 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7c5c (base 16) to base 2\nAnswer: -111110001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 739.9 - 740. Which is the third smallest value? (a) -5 (b) -69 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6356*o - 4*o**3 + 6356*o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fphp when four letters picked without replacement from fhrrprp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + w - 16 + 11, -5*w = 4*o + 17. Let a(y) be the first derivative of -3\/5*y - 1\/15*y**3 + 2 + 2\/5*y**o. Factor a(x).\nAnswer: -(x - 3)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 8*c - 193. Let j be n(33). Let m(y) = 3*y**2 + 5516*y - j*y. Let r(x) = 15*x. What is r(m(o))?\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -5*q**2 + 0 - 4*q**3 + 7\/12*q**4 + 0*q. Is s(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8964 divided by 747?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, h: 8, w: 1}. Give prob of picking 1 w and 2 b.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(1029)*-1)\/((sqrt(5103) + (sqrt(5103) - (-1*sqrt(5103) + sqrt(5103))))*5).\nAnswer: 7*sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:46 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 5776026.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 1. Let y = 5 + r. Let d = 62 + -42. Calculate the smallest common multiple of d and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*v + 3 = 0, -505*v = -3*q - 512*v + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**3*m**3 - 408*f**3*m**2 + 78*f**2*m**3 + 2*f*m - 2 wrt f.\nAnswer: -54*m**3 - 2448*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5623\/3 or -1873?\nAnswer: -1873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301719577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5881 + 5879. Sort -3, 0.239, 2\/3, -4, m in ascending order.\nAnswer: -4, -3, m, 0.239, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**3 - 233*a**2 - 679*a - 189. Determine t(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/22)*k*k**21\/k*k)\/(k**1*k*k\/(k*k\/(k**(-1\/3)\/k*k)*k*k)) assuming k is positive.\nAnswer: k**(1543\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5072, -5, -6 in increasing order.\nAnswer: -6, -5, 3, 5072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40469 and 66001.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*a = 10, -q + 6 = 4*q - a. Let y be -1*2 - q\/(-2). Let l be ((-56400)\/y)\/((-6)\/15). Round l to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*a - 21, 4*l + 0*a = a + 15. Let i(r) = r**3 + 2*r**2 - 5*r + 4. Let p be i(l). Suppose 9*v - 7*v = p. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(1\/5)\/l*l)*l**(2\/65))\/(((l**(-20\/3)*l)\/l*l)\/l*l*(l\/(l\/(l\/l**(-4\/11))))\/l) assuming l is positive.\nAnswer: l**(15302\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (1*sqrt(832))**2 - (sqrt(832) + -3*(sqrt(832) + 0) + 5).\nAnswer: 16*sqrt(13) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -284.938 - -285. Which is the closest to j? (a) 3\/5 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/j**(-14))*j**(-21)*(j*j**(-9)\/j)**(-2\/15) assuming j is positive.\nAnswer: j**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 7. Let u be 14\/5 - (-4)\/20. Suppose 2*k - 4*k + 26 = -2*t, -u*t = -2*k + 29. Calculate the remainder when l(-6) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137\/763 or 913?\nAnswer: 913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a - 313 = -88. Let 0*q + 0 - 1\/9*q**a + 0*q**2 + 1\/9*q**4 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 175.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70220698445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -532, -798, -1064?\n\"Answer: -266*p - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 3*c)*(-4*c + 3*c - c) + 2 - 2*c**2 - 2 + (3 - 4 + 3)*(0*c**2 + 2*c**2 + 0*c**2) - 5 + 5 - 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -244247.12 rounded to the nearest one hundred?\nAnswer: -244200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 - r**2 - 1. Let k(q) = -77*q**3 - 2*q**2 + 2*q - 2. What is -3*b(x) + k(x)?\nAnswer: -59*x**3 + x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*o**2 + 139*o**2 + 46*o**5 - 5*o**3 + 5*o**3 wrt o.\nAnswer: 2760*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8873367.\nAnswer: 3, 71, 41659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1113117 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43 - ((-140)\/180*(2 + 8) - 4\/18)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-7 - (-12 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 7*y + 6. Let r be b(5). Let d = -65 - 84. Let f = r - d. What is the greatest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/48 and -23\/33?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162048 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 1. Give n(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 36. Suppose -v*o = -3*k - 18, -26 = o - 5*o + k. Calculate the smallest common multiple of o and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 571*x. Let c(w) be the second derivative of 5*w**4\/12 + 6098*w. Calculate c(h(f)).\nAnswer: 1630205*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -1993063?\nAnswer: -1993061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1529934 - 32135.\nAnswer: 1497799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0) + -67 + 47 - -21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + j**2 + 520 - 31*j**3.\nAnswer: -31*j**3 + 520","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4661 + 4665. Which is the nearest to -2\/5? (a) f (b) -2 (c) -3\/5 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 6*h**2 + 6*h + 9. Let k be u(7). Suppose 6 + 6 = k*b. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.286375 centimeters to nanometers.\nAnswer: 92863750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((15 - 3) + -7 - -1) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 54*j**2 + 22*j**2 + 27*j**2)*(2*j - 1 + 1)*(19*j**2 + 11 - 11).\nAnswer: -190*j**5 + 228*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770*v - 2345*v + 783*v = -750*v - 2142 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24142762?\nAnswer: 2, 7, 1724483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -17 (b) -6\/7 (c) -1\/5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1841*d**3 - 3711.\nAnswer: -5523*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 13 = -5*f + 98, 2*t = -10. Let d = f + -6. Solve d + 29*s + 11*s**2 - 7*s**2 + 4 - 9*s = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(10 - 1086\/108). Solve w + 6 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617716 is divided by 552.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 5 - 4*(-11)\/2. Let b(v) = 104*v - 152. Is b(n) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21*-1)\/((-30)\/(-4) - 6). Let a be (w\/7)\/(-4) + 1\/(-2). Solve 5*u = -25 - a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-1)*((-2 - -6) + 3). Let o be (8 - (-171)\/(-21)) + (-12)\/f. What is the second biggest value in 1, o, 2\/5, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -8. Let w = -14 + i. Let o be 2\/(-8)*(-4)\/(-3). Sort w, o, -2.\nAnswer: -2, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.85 - 1.8. What is h rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67917 is divided by 16978?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1024.0553 + -1024. What is the third smallest value in -0.1, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - 0 - -16) + 82 + -72?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 - -6.51. Let b = -1.3 + n. Let a = -202\/5 + 41. What is the second biggest value in a, b, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 12*y**2 + 5*y - 18. Suppose 4*f - 32 = -4*l, 5*l = -3*f + 15 + 33. What is the remainder when d(l) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2240298 or -8961195\/4?\nAnswer: -8961195\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-42)\/((-42)\/(-6)) - -8 - -642 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1692740 or 0?\nAnswer: -1692740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 3*m - 2*z, -6*z + 2*z = 2*m + 86. Let v = -33 - m. Solve -v*i + 20 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2*m*r + k**2*m - 2*k**2 - k*m*r**2 - 8*k*m*r + 24*k*m + r wrt r?\nAnswer: 2*k**2*m - 2*k*m*r - 8*k*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-3)*6\/(-231)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1354*g - 1334*g = 2400. Calculate the highest common divisor of g and 864.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201011 (base 4) in base 10?\nAnswer: 6213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r)*(49*r - 176*r - 180*r)*(5 - 3 + 0) + 3*r**2 - 4*r**2 + 0*r**2.\nAnswer: 613*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/(-164)*(-416)\/32.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**2 - 8 - r**2 + 13*r - 5*r - 2*r - 7*r. Let g(y) = -y**2 + 1. Calculate -6*g(x) - o(x).\nAnswer: x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, 5\/26, 2\/15, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6\/19, 0.5, 5, -0.2, 1\/8, -1, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 47*m - 159. Determine g(0).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {r: 5, h: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6716*n. Let s(l) = 57*l. Calculate t(s(b)).\nAnswer: 382812*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + i + 5 = 0, -8*i + 6*i + 14 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 2*l**3 - 34*l**3 + 2*l**3 - 2 + 2 + (-3*l + 0*l + 2*l)*(-l**2 + 1 - 1) + 4 + 2*l**3 - 4 - 2*l**3 + 7*l - 7*l.\nAnswer: -30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 232, 227, 220, 211, 200?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - o + 1 = -7, -2*o = -3*a - 9. Is a\/((-3)\/8373*1) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 1. Let o(u) = -149*u - 50. Let t(r) = g(r) + o(r). What is the hundreds digit of t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 8:12 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/28)\/((-90)\/(-35)). Which is the smallest value? (a) f (b) 0.02 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 74\/(-15))*7308\/1624*(-10)\/6\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2256*i - 5 - 6 - 19 + 28.\nAnswer: -2256*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4*n**2 - 4*l**4 + 5314*l**3*n**2 + 167*l**2*n + 2*l + 3*n**2 - 2*n wrt l?\nAnswer: 48*l*n**2 - 96*l + 31884*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 15*r - 6. Let q(v) = -168*v**2. Calculate f(q(g)).\nAnswer: -2520*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**2 + 2*a - 4. Determine f(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/30)\/((-231)\/198).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 4:40 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-972)\/12 - (-6)\/2 - 3. Let x = f - -193. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -36\/12201283 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15746.\nAnswer: 2, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-3)*(249 + 1 + -1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8085 and 253869.\nAnswer: 1269345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 10955.\nAnswer: 109550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 296*g**3 + 12*g**2 - 202*g + 6. Let f(r) = -296*r**3 - 10*r**2 + 202*r - 5. Let v(n) = -5*b(n) - 6*f(n). Find the second derivative of v(q) wrt q.\nAnswer: 1776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 a when three letters picked without replacement from awawaww?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - 56 - (-3 - -3 - 0)) + -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2439.777 kilometers to micrometers.\nAnswer: 2439777000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5539 take away 314137330?\nAnswer: -314137332.5539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 630 or 631?\nAnswer: 630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 60*d - 428, 188582*d + 13 = 188583*d - 3*l for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -799, 6, -5 in descending order.\nAnswer: 6, -5, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6137.576t to kilograms.\nAnswer: 6137576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = -2*c + 536, -2*p - 2*c = -212. Suppose 0 = -5*m - 7*m + p. Sort -4, 0, m.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 134004036 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 3*b**4 - b**2\/2 - 1. What is the remainder when 20 is divided by u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-38)\/(x\/(x\/x**(1\/4)*x)*x**(3\/5)) assuming x is positive.\nAnswer: x**(-757\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -5 + 0 + (-1 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 496.1 (b) -8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 498\/5653037?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 75226. Let z(g) = -5*g. Determine n(z(d)).\nAnswer: -5*d + 75226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3 + 972*l**2 - 78732*l + 2125764 = 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-12)\/10)*4\/5. Suppose 3*s = r*m - 10, -3*m + s = 2*m + 1. Let i(k) = 6*k + 3. Let o(q) = -q - 1. Let d(b) = -i(b) - 2*o(b). What is d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/60*(-134 + 129)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16837, -32355, -47873, -63391?\nAnswer: -78909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16435.\nAnswer: 5, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.15. Suppose 5*u + 0*v = -v + 22, -2*u - 2*v = -12. Suppose 0 = -4*t + f - 24, -5*f + 6 + 18 = -u*t. Which is bigger: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 13*x**3 + 3*x**2 + 3*x + 3. Let i(c) = 52*c**3 + 13*c**2 + 13*c + 13. Calculate 3*i(b) - 13*z(b).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(sqrt(117) + sqrt(117) + -1 + sqrt(117))**2.\nAnswer: -144*sqrt(13) + 8432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/2)*d*d\/d**(2\/5)*d*(d*d**(-3)*d)\/(d**8\/d) assuming d is positive.\nAnswer: d**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/12 - 245*l. Let x(d) = 1. Let a(s) = -11*s + 1. Let t(k) = -a(k) + 2*x(k). Calculate j(t(o)).\nAnswer: -121*o**2 - 22*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 n when three letters picked without replacement from nnnnnnnnyni?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 541 in 1, 3\/4, -6\/5, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f + 50. Suppose -o + 4*x - x - 24 = 0, 2*o - x + 33 = 0. Let m = o + f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {o: 1, m: 1, h: 4, u: 4, p: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -5891?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 3*d**2 - 3*d**2)*(-3 + 6 - 1)*(-3*d + d + 8*d) + 2*d**3 - d - 237*d**2 + 6 + 237*d**2.\nAnswer: 14*d**3 - d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10799, -21539, -32181, -42677, -52979, -63039?\n\"Answer: 8*m**3 + m**2 - 10799*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/66 and 1 - (-98)\/(-60) - -4.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240143970839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g - 39. Let m be h(6). Calculate the greatest common divisor of 165 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*h + 132. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.0548\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10487410 by 2097482.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -q - 11, -2*x = 5*q - 3*q - 14. Suppose 5*u + 3*k - 194 = 0, q*k - 80 = -5*u + 112. What is the highest common divisor of 60 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345452, 691261, 1037070, 1382879?\nAnswer: 1728688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 59052886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23808*a = 23774*a + 1054 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-8) - 1\/2. Let b be 5\/(3 - f) - 3. Solve -3*z = -q - q + b, 4*z = -q - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201112121000 (base 3) in base 13?\nAnswer: -1060aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 86, -29, 1161, 1 in increasing order.\nAnswer: -29, 1, 4, 86, 1161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/6 greater than -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + 8) - (-151 + 133)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 121149162?\nAnswer: -121149159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4887 (b) 2 (c) -0.4 (d) 0.17 (e) 139 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/25)\/((-18)\/30) + 12 + -30?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.714621 rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1623*a**2*c + 2*a**2 - 2*a*c**3 - 2929*c**3 wrt a?\nAnswer: 3246*a*c + 4*a - 2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 974 divide 10662117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -30.1. What is the closest to l in -1\/4, -1, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*o**4\/2 - 414*o**3 - 1104*o**2 - 72*o + 120 = 0 for o.\nAnswer: -2, -2\/5, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izlzlilillz. Give prob of picking 2 i and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44036.\nAnswer: 2, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*c + 254088 = 3383*c for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.9480654 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 2*c**2 + 1. Let p(f) be the second derivative of -f**5\/20 + 40*f + 1. What is -l(q) + p(q)?\nAnswer: 2*q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 133*s**2 + 4. Let j be o(-2). Let f = 767 - j. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2880002, 2880039, 2880076?\nAnswer: 2880113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2004 - 2315 + 1111 - 717 + 917 - 1840)*(3*y**2 - 6*y**2 - 6*y**2) in the form g*y**2 + o + j*y and give g.\nAnswer: 43632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/(-25*(-225)\/31250)*15\/4?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.00509cm in meters?\nAnswer: 0.0600509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, q: 3}. What is prob of sequence yyqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 464 + -464.4. Let s be ((-12)\/8)\/((-6)\/(-8)). Which is bigger: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*y - 94. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103681\/11 + -9419. Determine l so that 8\/11 + 284\/11*l**2 + b*l**4 - 354\/11*l**3 - 82\/11*l = 0.\nAnswer: 1\/4, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, y: 10, o: 1, m: 4, g: 2}. Give prob of picking 1 o and 1 j.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10)**1 assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12699 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:43 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**5 + 8764*p**4 + 181956*p**3 - 703964*p**2 - 1918760*p - 1041600 = 0.\nAnswer: -2170, -24, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.2 (b) 1\/6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 11589*y - 162063. Determine l(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s - 26. Let w be a(6). Sort 2\/7, w, 1\/4 in descending order.\nAnswer: 2\/7, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3*x**(-1\/5) assuming x is positive.\nAnswer: x**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 48) + 831 + -789.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38, -118, -264, -488, -802, -1218, -1748, -2404?\n\"Answer: -2*x**3 - 21*x**2 - 3*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k = 53 - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*w - r, 4*w - 6*r - 4 = -12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -2*d**7\/105 + d**6\/40 + 8*d**4\/3 + 57*d**2. What is the second derivative of x(v) wrt v?\nAnswer: -48*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t + 28 = -39*t, -2*n + 4*t - 4 = 0. Suppose -r = -1 + 4. Let a(q) = -q**3 - 2*q**2 - 3*q. What is the smallest common multiple of n and a(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exejjeixexjjjejijeee. What is prob of picking 1 i, 1 x, and 2 e?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 4*x**2 - 5*x - 2. What is p(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*q**3 - 5*m**2*q + q**4 + q**3 + 5*q wrt q.\nAnswer: 12*m**2*q + 12*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {r: 1, e: 2, x: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y + b - 1 = 0, 0 = 4*y + b - 7. Suppose -4*x = -y*x + 2*i + 18, -2*x + 4*i + 6 = 0. Let j(t) = t + 1. What is j(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 7:28 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2334 + 2342. Let l be (-29)\/3 + y - -2. Factor l*j + 0 - 7\/3*j**2.\nAnswer: -j*(7*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a factor of 186072648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(85))\/(sqrt(320)*-1) + -4.\nAnswer: -4 - sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(425) - -2*(sqrt(425) + sqrt(425) + 1 - sqrt(425))) + 2)**2*-6.\nAnswer: -23046 - 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/96*8*51873\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/6 - 3*n**3\/2 + 6*n**2 - 10*n - 1. Let b be f(4). Solve -a = -5*u + 15, -u - b = -0*a + 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = k, 2*b + 216 = 5*k + 179. Calculate the highest common factor of k and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 3*d**2 - 4*d + 2. Let b be ((-18)\/(-3))\/((-6)\/4). What is the units digit of v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*y + 394*y - 3490 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*w**2 + 87*f**2 - 191*f + 2040230*w**3 - 19 wrt w?\nAnswer: -4*f**2*w + 6120690*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 2*c = 3*t - 14, 0 = -3*t + 5*c - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 41067*j**5 + 52299*j**4 + 11727*j**3 + 501*j**2 + 6*j = 0. Calculate j.\nAnswer: -1, -2\/9, -1\/39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194192 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(3584\/(-42))*(5 - 1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1444910 and 149\/109740.\nAnswer: 8669460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/2)\/l*l*l**(-7\/5)\/l)\/(l**(-8\/3)*l\/((l*l*l\/((l**(3\/8)*l)\/l))\/l*l)) assuming l is positive.\nAnswer: l**(47\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -21 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*(-7 + 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 454 - 144 - 164 + 467*m**2.\nAnswer: 467*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*u + s, 0 = 2*u - 6*u - 4*s - 36. Let m = 0.5 - 0. Let l = -13 + 10. What is the closest to 2 in u, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*0.1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/304, -1, -12, -0.06, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.35 + -11.28. Let f = 10.93 - 11. Let u = f + d. Which is the third biggest value? (a) 0.2 (b) u (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 1, v: 12, q: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 10. Suppose -6 - l = 2*t + 2*p, -4*t = 5*p + 20. Which is the second biggest value? (a) -1\/2 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 54.6 (c) -73 (d) 5 (e) -0.3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l**3 + l**3 - 3*l**3 + (3*l**2 - l**2 - 6*l**2)*(4 + 3*l - 4) to m*l**3 + c*l + f + o*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52*k**4 - 2616023*k**2 - 99189486 wrt k.\nAnswer: -208*k**3 - 5232046*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 - 35*x - 28. Let p(v) = -8*v**2 + 103*v + 84. Let i(o) = -11*g(o) - 4*p(o). Let a be i(-26). Sort 1, 69, a in decreasing order.\nAnswer: 69, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 2*p**2 + 1. Let g(d) = 16*d**3 - 16*d**2 - 208*d - 236. Let h(c) = g(c) + 12*y(c). Find m such that h(m) = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*q = 2686, -q = 3*i - 0*i - 8010. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**4 - d + 2 + 0 + 3*d**3 - 4*d**3 as j + r*d**4 + k*d + v*d**3 + m*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -63. Suppose f*m - 4*m = -6*m. Solve -h - h + 3*j + 10 = m, -12 = -5*h + j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(3\/4)))\/(x\/x**4)*x*x\/((x*x*x**(5\/2)*x)\/x)*x\/(x\/x**(-9)*x))**(7\/3) assuming x is positive.\nAnswer: x**(-245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 50*t - 79. Let m be l(23). Solve -n + 2*a + 8 = 0, m = 5*n - 4*a - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/48048 and 67\/20004?\nAnswer: 80096016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*z - 106*z - 94*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33474.77 times -5?\nAnswer: 167373.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 21*o**3 - 9*o**2 - 3*o - 1. Let n(k) = 11*k**3 - 5*k**2 - 2*k - 1. Suppose -4*u = 12 - 32. Let y(b) = u*n(b) - 3*r(b). Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/19)*d**(-11) assuming d is positive.\nAnswer: d**(-208\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 3*m**2\/2 - 28*m + 4. Let h be t(11). Solve 3*y + 7*c - h*c = -14, -4*c = -4*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1234 - 479 = -g - 4*r, -4*g + r = 2986. Which is smaller: -750 or g?\nAnswer: -750","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + b - 8, 1 + 3 = -f - 3*b. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1488\/763 - 1270009\/22890. Let d = r + 193\/5. Find the common denominator of 13\/6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (3\/(3\/16))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(40)\/sqrt(4)) - sqrt(18))\/(sqrt(27)\/(-1*sqrt(3) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 162*t + 7. Let m(w) = 486*w + 20. Let h(z) = 17*b(z) - 6*m(z). Let r be h(-3). Suppose 18*s = 13*s + r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227709 divided by -2038\nAnswer: 227709\/2038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6137033.499 - -6133402. Let w = 3596.5 + p. Let a = w - -35. Round a to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2962 and 3558843.\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 17 = 8. Let c = -21147 + 21121. Sort c, -1\/3, k in decreasing order.\nAnswer: k, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 1371.\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 160839804 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 - 3*s - 2. Let o(w) = 13*w**3 + 32*w**2 + 37*w + 41. Let z(c) = o(c) + 14*y(c). What is z(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - w + w)*(4905 + 3720 + 2742 + 1189).\nAnswer: 12556*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**4\/7 + 8*t**3\/7 - 6*t**2\/7 - 8*t\/7 + 8\/7 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -24, -75, -166, -309, -516, -799?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {l: 4, t: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 16 + 15*c**2 - 14*c**2 - 43*c**2 + 83*c**2 - 43*c**2 + (4 - 1 - 1)*(-2*c**2 + 5*c**2 - c**2) + 2*c**2 + c**2 - c**2.\nAnswer: 4*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(1\/2)))**(-29)*q**(2\/5)\/q**(-2\/7))\/((q*q*q*(q**(1\/4)*q)\/q)**(-8)\/(q**(1\/4))**(-14)) assuming q is positive.\nAnswer: q**(304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256 + -20. Let y = n + -234. Put 4, y, 0 in descending order.\nAnswer: 4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1580 + -1569. Which is the nearest to f? (a) 1 (b) 12 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(3*g**3 - 4*g**3 + 2*g**3) + (-5*g**3 + 2*g**3 + 2*g**3)*(-g - 1 + 1) + g**4 - 6*g**4 - 5*g**4.\nAnswer: -11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -6, 6\/19, 0.5, -1.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51113078 to the nearest integer?\nAnswer: 7149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -498*y + 69. List the prime factors of g(-20).\nAnswer: 3, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Find the second derivative of -2*g + i*g + 0*g - 3*g**4 + g wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62821.\nAnswer: 11, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 313093109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 10928902347*b**5\/8 + 18284052177963*b**4\/8 + 7638152782352349*b**3\/8 - 7657462585187499*b**2\/8 + 126856922769*b - 4203414 = 0. What is b?\nAnswer: -837, 4\/60357, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.86851 + 0.13149. Let p = 3 - 7. Let q be (-2)\/((-3)\/((-9)\/p)). What is the closest to q in -1\/2, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 12. Let z be a(6). What is the units digit of 49 + z - (8 - 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 458, 379, -18, -733, -1766, -3117?\n\"Answer: -159*l**2 + 398*l + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + sqrt(153) + -4 - (3 + (sqrt(153) - (sqrt(153) + sqrt(153) + -6*(0 + sqrt(153))))**2).\nAnswer: -3834 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 541*a**2*h**3 - 3*a**2*h - 14*a**2 + 11*a*h**5 - 520*a*h + 2*a wrt h.\nAnswer: 3246*a**2*h + 220*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 2555600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514 + -4371 + (-1 - 68)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-6\/11))**15 assuming d is positive.\nAnswer: d**(420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**8\/560 - a**4\/6 + 4*a**3\/3 + 4*a**2. Let v(y) be the first derivative of r(y). Differentiate v(h) with respect to h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(189) + sqrt(189)))\/((sqrt(567)*2*-1 - sqrt(567)) + sqrt(567) - sqrt(567)) + -5.\nAnswer: -5 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 34. Let o(i) = -2*i - 16. Let l be o(f). Let r(h) = -6*h - 16*h**l + 3*h + 17*h**2. Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -4.7. Round w to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-341)\/5 - 1)*-55 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512 is divided by 377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 8:32 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 38 = 4*d, 3*p + p + 101 = d. Let i = 44 + p. Calculate the greatest common divisor of i and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 12*s**2 + 15*s + 28. Calculate the remainder when 9 is divided by u(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 186*m - 2879. What is x(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**14)\/(c**(3\/2)\/c)*c*c\/(c\/(c\/c**(-1\/10)))*(c**(-17)\/c)\/c assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 206474 and -0.6.\nAnswer: 206473.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*i - 660 = 1985 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**2 + 204*h - 72*h - 132*h.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2175415 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 40 = -19*b. What is the second biggest value in -3\/2, -0.4, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 - 191*s\/8 - 1016.\nAnswer: -(s + 64)*(s + 127)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769324109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4601545 and 9.\nAnswer: 41413905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-448)\/(-40))\/14*5\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11245, -11240, -11235?\n\"Answer: 5*k - 11250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 17*p**2 - 9*p + 8. Let u be w(1). Let o(a) = -2*a**2 - 11*a - 11. Let f be o(-3). Solve -u*t + f = -20*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1531.4504 to the nearest integer.\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - 2*z**5 + z**5 + 4*z**2 - 4*z**2 + 2*z**5 + (2*z**4 + 2*z**4 - 5*z**4)*(0 + 0 - z) + 4*z**5 - z**5 - z**5.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3032910 at most as big as 3032916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 23*r + 46. Let d be v(-21). Let x be (d\/6)\/((-28)\/(-42)). What are the prime factors of 1430\/10 + (3 - x)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2248*l**3 - 105*l**2 + 136*l + 56. Let r(i) = 250*i**3 - 12*i**2 + 15*i + 6. Let z(o) = 2*b(o) - 19*r(o). What is the third derivative of z(t) wrt t?\nAnswer: -1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 20*b - 6. Let v(f) = 21*f - 5. Let y(l) = -2*m(l) + 3*v(l). Differentiate y(t) with respect to t.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5445))\/(sqrt(5) - (sqrt(10)\/sqrt(2)*-1 + sqrt(5) - sqrt(5))))\/(sqrt(432) + -2*sqrt(432) + -2*sqrt(192)).\nAnswer: 11*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 789\/98, -0.2, -0.005 in ascending order.\nAnswer: -0.2, -0.005, 789\/98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -181 (b) -5 (c) 0.0407 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*b. Let j be 2\/4*(-32)\/(-4). Put b, j, 5 in decreasing order.\nAnswer: 5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 21. Find the third derivative of 3*p**3 + 8*p**3 - 13*p**3 + 2*p**d - 12*p**2 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/4 + 26399*v**2\/4 - 41814520*v - 23221449792 = 0.\nAnswer: -513, 13456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31428 and 62856?\nAnswer: 62856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9008 is divided by 318?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-76)\/95*30\/(-4). Let q(m) = 3*m**2 - 7. Let p(u) = -3*u**2 + 6. Give i*q(s) + 7*p(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.0393756 - 30.\nAnswer: -32.0393756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Calculate the common denominator of (15\/80)\/(502\/(-124) - -4) and ((-1)\/c)\/((-6)\/145).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**2 - 19*w + 4. Let i(y) = -80*y**2 + 172*y - 36. Let p(t) = -28*b(t) - 3*i(t). Factor p(c).\nAnswer: -4*(c - 1)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 152 = -72. Suppose 5*s + l = 6, l = 5*s - l - 3. Which is the nearest to 0? (a) s (b) i (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49923*a**2*c**3 + 11*a**2*c**2 + 243*a*c**2 + 115*a - 34*c**3 wrt c.\nAnswer: -299538*a**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 d when three letters picked without replacement from rmdmmemdkdmredeieded?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + 2. Suppose -f - f + 4 = 0. Let x be 1 + (-2)\/(f + -1). Which is the closest to x? (a) 4 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*-1 + (27 - 17). Let u be 44\/77*c\/10. Which is smaller: u or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-8)*(-46)\/(-161)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 2092 in increasing order.\nAnswer: 0, 2, 2092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1860969719?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98059002?\nAnswer: 2, 3, 73, 131, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - w - 17 = 0, -5*r + 0*w = -4*w - 38. Let x(v) = v**3 - 9*v**2 - 9*v - 8. Let i be x(r). Solve o - 3 = i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 2217956*b**3 + 2217960*b**2.\nAnswer: -4*b**2*(b - 1)*(b + 554490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -31. What is the nearest to 4 in w, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1173 - -1203. What is the greatest common factor of a and 822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1916*l**4 + 11*l**2 + 2*l + 255. Let x(u) = -959*u**4 - 6*u**2 - 127. Let i(r) = -6*w(r) - 11*x(r). What is the second derivative of i(c) wrt c?\nAnswer: -11364*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -79*d**2 + 12*d. Let a(v) = -885*v**2 + 135*v. Let i(f) = 4*a(f) - 45*r(f). Let w(x) = -467*x**2. Determine w(i(g)).\nAnswer: -105075*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*3 - (sqrt(51)\/(sqrt(3)*2) - sqrt(17))**2.\nAnswer: -17\/4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -248. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 17*r + 4 = 0. Let d(p) be the first derivative of -1\/2*p**4 - r + 0*p**2 + 0*p**3 - 5*p. What is the first derivative of d(a) wrt a?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*h + 216, -2*u + 4*h + h - 159 = 0. Let f = 112 + u. Suppose -4*p - 5*w + f = -2*p, 2*w = -4*p + 114. Is p a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89.6 - 80. Let p = 1696 - 1705.6. Let w = v + p. What is the fourth smallest value in -1\/9, w, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*u**2 - 1 + 39*u**2 + 86*u**2)*(1 + 2 + u**3 - 2).\nAnswer: 195*u**5 - u**3 + 195*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198681 is divided by 108971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -65\/2*a**2 + 72 + 0*a + 15*a**3. What is the second derivative of r(d) wrt d?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 93 + 79. Let p(z) = -11*z - 2. Let k be p(-2). What is the common denominator of 1*1\/(k\/c) and -81\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 14. Let n(t) = -13*t + 6. Let g(x) = 2*x - 1. Let l(u) = -6*g(u) - n(u). Give l(w(a)).\nAnswer: a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 76.01 * 245\nAnswer: 18622.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26 + (-13 - -1) + -10. Let a(g) = 3*g**2 + g + 4. Let m be a(-3). What is the highest common factor of u and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -8. Let n(w) = -4*w - 10. Let k be n(-4). Solve -g*h + 6*h + k = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7 = 9. Suppose t*y - 16 - 4 = 0. Let q(o) be the first derivative of -o**4\/4 + 2*o**3 - 3*o**2 + 2. Calculate q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5572761 and -0.8?\nAnswer: 4458208.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(sqrt(175) + 2) - (sqrt(175) + sqrt(175) + (sqrt(175)*-2 - sqrt(175)) + -4)).\nAnswer: 15 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -171. Let a be 4\/10 - (-270)\/i. Is ((-4)\/a)\/(2\/60) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 55. Let r = 0.03 + 2.97. Sort r, i, 4\/3 in ascending order.\nAnswer: i, 4\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 25*j**2 - 35*j + 21. Let k(n) = n**3 + 1. Let v(i) = -6*k(i) + w(i). Factor v(c).\nAnswer: -5*(c - 3)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**5*u - 418724*c**5 - 23*c**2*u - 360*c**2 + 27*u + 2 wrt c?\nAnswer: 180*c**2*u - 25123440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2695*b**2 - 831.\nAnswer: 5390*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 1. Let u(h) = -13*h + 4. Let x be 8\/(-10) - (-56)\/20. Let o = -488 + 479. Determine o*i(l) + x*u(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 32\/3. Let i = -105.4 - -124. Let q = -19 + i. What is the second biggest value in t, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 8\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 32\/9*y**4 + 0*y + 20\/3*y**3 + 16\/9*y**2 - 4\/3*y**5 + 0 = 0.\nAnswer: -1, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -25) + 0 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.7 and -0.26?\nAnswer: 3.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 2.7915?\nAnswer: 0.83745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = k + 1, k + 0*c - 4 = c. Let b(o) = -3 + 3 - 5 - 19*o + k*o**2 + 24*o. Let d(x) = 4*x**2 + 2*x - 2. Let a = -10 - -15. Calculate a*d(j) - 2*b(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 7:39 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -80644.\nAnswer: -5\/80644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 27*o.\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 50. Let u = -17 - a. Let x = -21 + 24. Solve -4*z - x*n - 8 = -2*n, 2*z + u = -n for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*40*3\/6. Suppose 3*y = 7*y - r. Calculate the greatest common divisor of y and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1211\/26871 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -54.3. What is i rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 552 = 2*w. Let m = w + -211. What is the tens digit of 2*-2*m\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/202*(-358)\/(-895)?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 12 = 0. Suppose 5*h - 103 = -4*l, 62 = y*l + 2*h - 32. Let w(c) = -13*c - 287. Calculate the lowest common multiple of w(-23) and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563562 (base 9) in base 16?\nAnswer: 5256b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u + 22*u = 84. Let p be -13 - (u + -5) - -1*1. Sort p, -3, -12, 2 in increasing order.\nAnswer: -12, -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461115759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0974995 years in centuries?\nAnswer: 0.000974995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.621954741 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6261 (base 10) to base 15\nAnswer: -1cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let r(j) be the first derivative of j**4\/6 + j**2\/2 + 2. Let m(w) be the second derivative of r(w). Calculate d(m(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2*-11.8497\nAnswer: 23.6994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171398556671\/21713594760 - -14\/12624183. Let y = s + 4\/215. What is the common denominator of -19\/22 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8435, 67237, 226927, 537947, 1050739, 1815745?\nAnswer: 2883407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3191009 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -3*d**3 + 39*d**2\/2 - 36*d + 25. Factor w(m).\nAnswer: -3*(m - 3)*(3*m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1877 divided by 26098.\nAnswer: -1877\/26098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 532459840 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or 39?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1562, -2229, -12524, -32575, -65634, -114953, -183784, -275379?\n\"Answer: -542*b**3 + 3*b + 2101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 4*j**2 - 4*j - 5. Calculate t(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80199)\/91)\/(-67) + 4\/(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531581.5ml to litres.\nAnswer: 531.5815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1422 - 2850 - 140*r + 1303 as i + l*r and give i.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((9 - (-6 + 8 + 15)) + -16).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 3*a - 6. Give w(7).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*q**3\/7 - 69*q**2\/7 + 90*q\/7 + 27\/7.\nAnswer: 3*(q - 3)**2*(4*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.898668t?\nAnswer: 6898668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/18 - 10*19\/(-855).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2568968\/274 - 8\/(-2). Let k = v + -2303235307\/245641. Let p = -45\/163 + k. Find the common denominator of p and -11\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let q(d) be the second derivative of d**7\/840 + d**4\/3 - 3*d. Let i(z) be the third derivative of q(z). Determine n(i(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 76 + 59. Let p be (-5036)\/(-18) - (-6)\/f. Suppose 0 = 2*t + p - 870. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*u + 10 - 62*u + 31*u)*(74*u + 93*u + 68*u).\nAnswer: 470*u**2 + 2350*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + x - 4*h + 10 + 22, 507*x - 22 = 512*x + h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/35 + 18\/35. Which is the nearest to s? (a) -3 (b) -0.4 (c) 1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1826 + 1822. Let k(d) = 5*d**3 + 2*d - 2*d**3 - 4*d**3. Let g be k(j). What is the highest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 292*j + 85264.\nAnswer: -2*(j - 146)*(j + 292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 2. Let t be q(-8). Let c be (t\/(-3) + 2)\/1. Factor c + 2\/7*w**2 - 2\/7*w.\nAnswer: 2*w*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27470.457 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*k, 0 = 2*i - 6*i - 5*k. Let y(o) be the third derivative of -1\/40*o**6 + 1\/6*o**3 + 0 + 0*o**4 - 2*o**2 + i*o**5 + 0*o. Determine y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195689 + -0.1446?\nAnswer: 195688.8554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 14 = -0*p - 3*p, 3*p - 18 = -3*j. Is 522\/24*p*44\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 - -73.8245\nAnswer: 73.9085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -233*o**2 - 6311*o - 543. Calculate v(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h - 8. Let t be (-1)\/(-2)*-2*6. Let p be u(t). What is the highest common divisor of 80 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 1183.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -48503.9365 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1167, -1127, -1087, -1047?\n\"Answer: 40*t - 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/7)\/(o*o*o**(-3\/10)*o)*(o*o*o*o*((o\/(o**(2\/7)*o))\/o)\/o*o*o)**(-1\/31) assuming o is positive.\nAnswer: o**(-5189\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 16660675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*z = -74*z - 272 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135 - (-64 - -4)) + 24?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*l**3 + 6*l**2 - 6*l**2 + 401*l**3 - 77*l**3 - 122*l**3 + 3.\nAnswer: 76*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19\/215, -1676.4, 1?\nAnswer: -19\/215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 14*f + 3. Let l = -31 - -17. Let n be d(l). Suppose 115 = n*s + 37. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q + 10 = 5*g, 10 = 5*q + 5*g. Solve -3*u = -3*y + 12, q = y + 3*y - 2*u - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 275*h**2 + 7*h - 8. Determine i(1).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:01 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 2 (c) 28 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270 - -267. Sort 1\/4, -66, p, 0.3.\nAnswer: -66, p, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20371\/24304 + 5\/3472. Let z = 818\/3 - 277. Calculate the common denominator of z and i.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 11 - 1. Suppose 0*p - 20 = -5*p. Suppose -p*o + 18 = -h*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**3 + 20*y**2 + 21*y + 10. Let s(g) = g**3 + g**2 - 1. Let d(v) = -p(v) + 4*s(v). Is 11 a factor of d(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*o**2 + 1 - 38*o**2 - o**3 + 13*o**2 + 13*o**4 + 47*o**2 in the form x*o + i*o**3 + h*o**4 + w*o**2 + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2, 0 = -2*l + l - 3*k - 5. Suppose -g = -2*g. Suppose g*s - l = -s. What is the third smallest value in 4, s, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -7. Let j be (p + 3 + -3)\/(-3). Put 0, j, 4 in decreasing order.\nAnswer: 4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 4, 5 in decreasing order.\nAnswer: 7, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91599570 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*j + 155*j = -110, -937*u + 119 = -4*j - 1667 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 410 - 410. What is the nearest to -1\/18 in -1.3, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**5 + 9130*z**4 - 8699720*z**3 - 8754430*z**2 + 43571475*z - 26126460 = 0.\nAnswer: -2517, -3, 1, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -25 - (-1)\/1*2. Let z = b - -50. Suppose 2*r - 4*r + 3*x + z = 0, 5*r = 2*x + 51. Solve -4*t + 4*u = u - 12, 5*u - r = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 4. Suppose 0 = 30*o - 1651 - 1229. What is the remainder when o is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100177.\nAnswer: 7, 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v. Let m = 18 + -20. Let j(q) = -q**2 + 2. Calculate m*x(w) - j(w).\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262 + 263. Solve -2*i + i - v = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600728 to the power of 1\/2, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzwzznzzwzzwzzz. What is prob of picking 1 z and 2 w?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/40 - w**5\/60 - w**2. Let x be q(1). Let z be 1\/x*5 - 0. Sort -0.3, z, 2 in decreasing order.\nAnswer: z, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*28\/3. Suppose -5 = 3*f - k. Solve f*m = 2*m + 4*b - 16, -2*m + 12 = 3*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:46 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 11:47 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2022 (base 5) to base 7\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1472.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/8*-1*9\/(-9)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10281047771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57647*o = -57635*o - 52740. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3 - 2 + m - 4. Let h = -94 - 69. Let g = h - -169. Determine c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(2\/6 + 1). Let i(q) = q**2 + 5*q + 3. Let r be i(-4). Sort 0, f, r in decreasing order.\nAnswer: 0, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:02 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2359 or 4527?\nAnswer: 4527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 11. Solve -4*q - 12 = a*u, -5*u - q = -u + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -18. Let c be -1 - 1\/((-3)\/18). Suppose -120 - 80 = -c*w. Calculate the highest common divisor of q and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1336*v**2 + 2*v - 2. Let s be a(1). Suppose -3*o + s = 4*u, -2134 = -4*u + 2*o - 818. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1317604 - 1317621.00033. Let h = j - -17. Round h to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 4*z + 1. What is the lowest common multiple of 8 and t(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 47. What is z(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/18)\/((-15)\/20*-1) and 62\/(-55) - (-2)\/5.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-103)\/2052 + 2416\/183616\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7289 and 2072?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -0.006 (c) -1\/3 (d) 0.5 (e) 4 (f) 1271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 3*z + 7, 3*h - 3*h + 5 = -h + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 11*n = 0. Let v = 23 - n. Suppose 28 + 8 = 3*b. Calculate the remainder when v is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -14*g + 20*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 812.98997 - 3\nAnswer: 809.98997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -54*m**2 + 4 + 78*m**2 - 8*m - 1. Let f be a(5). Calculate the highest common divisor of f and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (318\/106*4\/(-420))\/(2\/(-10))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:58 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5656*h**3 + 4*h**2 + 48*h - 47815084.\nAnswer: -16968*h**2 + 8*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/6 - ((-39417)\/14 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13. Let y(t) = -19. Let j(a) = 3*i(a) - 2*y(a). Let c(q) = -4*q - 10. Give 2*c(v) - 18*j(v).\nAnswer: -8*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) + sqrt(12) + sqrt(3) + -2).\nAnswer: -4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.267*4\nAnswer: 1.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2904155 and -64.\nAnswer: -2904219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.8 - -0.2. Let r = i - 13. Let s = -735.3 - -735. Which is the smallest value? (a) 0.8 (b) r (c) -5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 9*l**5\/10 - 8*l**3\/3 - 13*l. What is the second derivative of s(u) wrt u?\nAnswer: 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 1:06 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 272*q**3 - 3.\nAnswer: 272*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 22794195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 18*u**2 + 184*u**2 - 216*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l**3 - 2*l**2 - l. Let n be x(-1). Which is smaller: n or -57\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -516.41985 and -0.05?\nAnswer: 25.8209925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-54)\/12 + 5)\/((-1)\/(-12674)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 9, 0*t + 4*t = g + 18. Let z = g - -56. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 >= 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16525 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 9:52 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/10*(-4 + (-642)\/(-18)). Round a to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 15*m**2 + 1028391 - 1028391. Let x(l) = -101*l**2. What is x(r(f))?\nAnswer: -22725*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-26)\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = 13*r - 158. Let c(m) = 367*m**2 - 11*m - 10 - 368*m**2 + 3*m. Determine c(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*h - 108*h + 59*h - 118*h + 31*h in the form p*h + m and give p.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -41890 to the nearest one thousand.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -17. What is the least common multiple of p and 6 + (-394)\/(-26) + 72\/(-468)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-35)\/(-14) + 0). Let n(u) = u**2 - u - 2. Calculate n(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 3*t**2 - 7*t**2)*(-t + t + 2*t**3) + (-3 - 2*t**2 + 3)*(-26*t**2 + 26*t**2 - 6*t**3).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 12*t**2 - 15*t + 14. What is i(13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - z**2 + 0 - 2 + 4 - 6*z in the form k*z + t + b*z**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92104.93 litres to millilitres.\nAnswer: 92104930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927 = a - 622. Let h = a - 10820\/7. Calculate the common denominator of h and -121\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 159*x**2. Let b(h) = -44*h. What is s(b(m))?\nAnswer: 307824*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 334 = 6*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837*s**2 - 698*s - 841*s**2 + 1396*s - 698*s.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (3 + -5)*(-2 + 1). Suppose -a - w = -15. Let s(g) = g - 4. Let y be s(a). Let v(l) = 4*l + 7. Let k(o) = 5*o + 8. Give y*v(j) - 6*k(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 9*a - 4. Let g be d(-9). Let i(b) = 2*b - 8. Let f(m) = -3*m + 12. Let w(h) = -5*f(h) - 8*i(h). Let u be w(g). Which is bigger: u or -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - 3) + 7 + -2 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppgg when four letters picked without replacement from {p: 4, g: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-165)\/(-4)*(-5400)\/(-7425).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -33208, 7 in decreasing order.\nAnswer: 7, 0, -9, -33208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-2) + -7 - 5. What is the units digit of 27\/2 - 12\/p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 2\/(-28)*10. Suppose -3 - 3 = 2*n. Let i = -1426 + 1427. Put g, i, n in decreasing order.\nAnswer: i, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77\/2 + 741\/20. Let q = 4\/3275 + -88489\/52400. Calculate the common denominator of q and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2)*(-2 + -676). Let f = -197 + r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2 - 40*j + 16. Let m(r) = -2*r**2 + 13*r - 5. Let g(l) = 7*m(l) + 2*z(l). Let a be g(5). Let x = a - -63. Solve -x = -5*b + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 0) + 43 + -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6576, 7142, 7986, 9108?\nAnswer: 10508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + x = -x - 1386, 1386 = 2*s + 5*x. Let u = s - 386. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 6*m**2 + 7*m + 2. Let b = -8 + 11. Suppose 0*c + b*c - 21 = 0. Let j be g(c). Let v(l) = -l**3 + l**2 - 3*l + 1. Determine v(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 - 2*j**2 + 0*j**2 + (-4 + 4 + 1)*(-j + j - 2*j**2))*(-6 + 0 + 3) to the form n*j + t*j**2 + u and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 1}. What is prob of sequence uyu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 986969579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187 + 333. Let u = a - 82. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a**2 - 5*a - 6. Let s(y) = 2*y**3 - y**2 + 5*y + 6. Let n(h) = 2*s(h) + 3*w(h). Determine n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from {l: 7, g: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 59. Let y(g) = 236*g + 30. Calculate j(y(l)).\nAnswer: 111392*l**2 + 28320*l + 1741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 187\/(-34)*(-12 + 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1218 divide 12620916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d + 34. Let u be w(-5). Let f = 37 - u. What is the remainder when f is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 j when four letters picked without replacement from ccjcjzcjjcccj?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 73124\/(-146248)*-1*1*4\/(-29)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55a96 - -b5?\nAnswer: -559a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -68. Let s = x + -15. Suppose 5*q = -10, 5*y + 2*q - 91 = s*q. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than 3\/10354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 44*j**2 + 43120. Let v(b) = -6*b. Calculate n(v(h)).\nAnswer: 1584*h**2 + 43120","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1605, 4, -1\/2, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-71)\/(24992\/3840))\/((-90)\/110)\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 i, and 1 d when three letters picked without replacement from liltildttilldidtlil.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-26)\/d)\/d)\/d*d**(-17\/6))\/(d*(d**(7\/4)\/d)\/d)**30 assuming d is positive.\nAnswer: d**(-163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*f - 15 = 0, f - 15 = -31*t + 35*t. Let g(r) = -100*r + 42. Let d be g(t). What is the highest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f**2 + 20*f + 92. Is 6 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 + -130 + 269 + -1 + (-20 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162c1 (base 15) to base 4.\nAnswer: 101131102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -318\/7 + 2\/7*s**2 - 316\/7*s = 0. What is s?\nAnswer: -1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00208711992 rounded to 5 decimal places?\nAnswer: -0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 263*k**2*n**2*y**3 - 12*k**2*n**2*y - 13*k*n**2 + k*n*y**3 + 5*k*n*y**2 + 2*k*y**3 wrt k.\nAnswer: 526*n**2*y**3 - 24*n**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.2 + -44. Let f = -15.8 - l. Sort -0.4, 1\/4, f in decreasing order.\nAnswer: 1\/4, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + -10211?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 887*i**2 - 19*i - 284. Let j be h(-5). What is j rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*y + 84, -5*y = q - 2*q + 157. Let o = 35 + y. Suppose 0 = 2*u + 2*u + 3*l - 2861, l + 2162 = o*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 + 146*r**2 + 243*r + 3. Let b(q) = -q**3 - q**2 - q + 1. Let x(o) = -4*b(o) + f(o). What is the second derivative of x(c) wrt c?\nAnswer: -12*c + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2. Let n(h) be the second derivative of -h**4\/6 + h**2\/2 + 6*h. Give z(n(l)).\nAnswer: -8*l**4 + 8*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3051593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/120 - u**5\/10 - 3*u**2. Find the third derivative of s(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 39*g = -30. Let a be (g - -3)*((-48)\/(-9))\/(-4). Suppose -5*z + z - 5*q + 118 = 0, z - a*q = 19. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.5737168 - 2\nAnswer: -11.5737168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4412, -4581, -4750?\nAnswer: -4919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -a + 313. Suppose -59*l + 3*c = -61*l + 299, -c = -3*l + 432. Let q = a - l. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 12 = 2*f + 4, -1 = -s + 2*f. Let v(o) = 3*o - 2*o + 3*o**2 + o**3 + 2 + 0. Calculate v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 4*n = 100. Suppose 0 = n*v + 5*v. Solve -2*f + f = v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 14*g**2 - g + 15. Let x be y(14). Which is the closest to -0.1? (a) -1 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -66, -97, -150, -231, -346?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 27*f**2 + 155*f - 63. Give a(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 2724.\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 119?\nAnswer: -3\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 + 80*k**3 + 4*k**2 - 1 - 2 - 79*k**3 in the form j*k**2 + b + m*k**3 + w*k and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 17) + (6 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 11*o**2 - 13*o - 12. Let h be k(-12). Solve h = 2*z - 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -662.72?\nAnswer: -658.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 14*j\/3 - 11.\nAnswer: -(j - 11)*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 1. Let x be 2\/3 - 7\/(-3). Let o be 1*(1 - 2)*x. Give n(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01874 rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a hour in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.898 - 4.898. Which is the nearest to n? (a) 3 (b) 4 (c) 1\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 20.1, -236, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -493190328400 and 841.\nAnswer: -493190327559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -8*g**3\/9 - 118*g**2\/3 + 2768*g\/9 + 238\/3 = 0?\nAnswer: -51, -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 1232312?\nAnswer: -1232113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119\/4 + 469\/16. Let w be (-2)\/(-2)*81\/112. Let j = g + w. What is the closest to j in -4, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 546344, 546343, 546342, 546341, 546340?\n\"Answer: -m + 546345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -311 + -52\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3049 - -3052. Solve 7*y - 3*i + q = 10*y, 4*y - 5*i - 40 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34656274 and 4568?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645983191?\nAnswer: 7, 2753, 33521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 142, 15203, -3 in decreasing order.\nAnswer: 15203, 142, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 828096, 3312287, 7452606, 13249053, 20701628, 29810331, 40575162?\n\"Answer: 828064*x**2 - x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*f**3 + 354526*c*f + 6*f**3 - 19711*f**2 - f wrt c?\nAnswer: -3*f**3 + 354526*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/3 + 6*z**3 - 14*z**2\/3 - 6*z + 16\/3 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30432142 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55877843 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: Let j be 21\/(-18) + 196\/24 + -8. Let z = -1\/288 - -445\/3744. Which is greater: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 357. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 6, r: 1, p: 8, f: 1}. Give prob of picking 1 p and 1 a.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25477 and 21243.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774658222.\nAnswer: 2, 13, 569, 52363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195786468 to the power of 1\/2, to the nearest integer?\nAnswer: 34580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 31*b + 5 = 0. Let f be (78\/18 - b) + (-4)\/12. Put -10, -3, f, -5 in decreasing order.\nAnswer: f, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6388 + -0.1.\nAnswer: -5.7388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((50272\/10)\/(-2))\/((-2)\/5) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135221 - -100?\nAnswer: -135121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7158)\/(-192073)*(-14)\/(-4)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5648 + 4?\nAnswer: -5644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 40845704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -5. Suppose 54 = 3*o - o. What is the remainder when o is divided by z\/((-15)\/(-14))*-5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose 0 = 11*d - 3*d - 16. Suppose -d*i + 5*i = t. Solve i = -0*l - 3*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131095 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92933 and 7472?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*r = 235 - 91 - 79 - 89, -5*a - 4*r - 27 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -32, -77, -162, -299, -500, -777, -1142?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 18 - (168 - 150)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47980852.603 - -927.397. Let m = 47981835.999961 - h. Let c = 56 - m. What is c rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -36.9932. What is x rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/105519?\nAnswer: 4\/105519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8503*o + 12. Let v be (-7)\/14 - 18\/(-4). Let c be l(v). Round c to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232001 (base 4) in base 12?\nAnswer: -6541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1635463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 40. Is (-165)\/r + (-1)\/4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19067*f**5 - 5*f**4 - 315604*f.\nAnswer: -381340*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 - 3*a + 5*a - a**2)*(a + a - 3*a)*(2*a - 2*a + 33*a) to the form w*a**2 + f + m*a + b*a**4 + d*a**3 and give b.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95232 and 3792?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3070 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1570, -205, -11, -6 in decreasing order.\nAnswer: 1570, -6, -11, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75.5 and 15.9.\nAnswer: -1200.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-55)\/3300. Let s(f) be the third derivative of -1\/2*f**3 + 1\/20*f**5 + 0 + 1\/8*f**4 - 7*f**2 + 0*f - h*f**6. Suppose s(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19484205409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000041654 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2260493.\nAnswer: -4\/2260493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2. Let j(o) = -69*o**2 - 86*o. Determine j(m(p)).\nAnswer: -69*p**4 - 86*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -218*j**4*p + 2*j**3*p - 572*j - 170721*p wrt j?\nAnswer: -872*j**3*p + 6*j**2*p - 572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 greater than -9\/2678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -273 + 309. Suppose -15994 = -n*y + 25*y. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358c (base 15) in base 3?\nAnswer: -120121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p + 1. Let q be u(-1). Let n be (27\/(-6) - 1) + q\/(-16). Let h be (-2)\/((-2)\/(4\/6)). Which is the biggest value? (a) 3 (b) n (c) h (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139293726179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1871137 or -1871168?\nAnswer: -1871168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Suppose -w - 2 + u = 0. Let v(x) = -x + 2 + 0 - 2 + 1. What is v(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1*2\/(12\/(-42)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 1416.\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Suppose 0 = 2*u + 5*a - 9, -t*u + a + 9 = -0*a. Suppose 0*j - u*j + 32 = 0. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, p: 1, c: 1, o: 2}. Give prob of picking 2 m, 1 o, and 1 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 8*i**2 - 4*i**2 - 17*i**2 - 2*i**2 + 7 in the form b + w*i**2 + q*i and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*s**5 + 141*s**5 - 25*s**3 - 74*s**5 - 4*s**2 + s**5 + 4*s**2 + (-2 - 2*s**3 + 2)*(3*s**2 + s**2 - 5*s**2).\nAnswer: 5*s**5 - 25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5234 - 5135. What is the remainder when 197 is divided by a?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 4 (b) 16 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 7*m**2 + 10*m + 2. Let a be f(5). Let n be ((-1133)\/(-6) + (-6)\/18)*a. Suppose -4*b + n = 113. Round b to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v + 10. Let j be m(0). Suppose -4*w + 6*w + j = 0. Let c = -2 - w. What is the remainder when 8 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1)*(-133 + 48 - 87 + (3 + 2 - 6)*(-1 + 6 - 4))*(-2 + 2*j**2 + 0*j + 0*j) to z*j + l + x*j**2 and give l.\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (-1*sqrt(120) - sqrt(120)))\/sqrt(5) + (sqrt(24) - sqrt(1944)*-2))*2)\/((-4*sqrt(144))\/sqrt(12) + (sqrt(1452) - -2*sqrt(1452))).\nAnswer: 44*sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Suppose 8*u - 5*b + 15 = n*u, 0 = 5*u + 3*b + 31. Is (u - (-3 + 1)) + 23 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.4834 - -5.4795231. What is g rounded to 4 dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8787\/2 or -4395?\nAnswer: -4395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + 19*k + 5. Let z be f(10). List the prime factors of (-4)\/(-14) + (-53730)\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 1, y: 1, p: 1, v: 2, j: 2}. What is prob of picking 1 j and 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 9*c**3 - 26*c**3 + 9*c**3 + 12*c**2 - c**2 + 7*c**3 to the form r*c**2 + a + n*c + i*c**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 8b6cc?\nAnswer: 8b6d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -8*c - 46 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11842316*r**3 + 480991*r + 9 wrt r?\nAnswer: -71053896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -831 + 1?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let c be (-240)\/(-528) - (-30)\/(-66). Let k(t) be the third derivative of 0*t**4 + c*t**3 + 0*t - 13\/60*t**5 + 0 + 15*t**2. Determine d(k(w)).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151.2 + -151. What is the third smallest value in 4, -13, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y - 12*y**2 + 44*y**2 + 4*y - 33*y**2 + 2*y**4 - 16 in the form i*y**2 + v*y**3 + g*y**4 + t*y + b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 274 = 22. Suppose -4*m = z - r, 2*m - 6 = 4*m. Factor -3*k**2 + 0*k + 21*k - z + 9*k.\nAnswer: -3*(k - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkakqaaasakkk. What is prob of sequence aka?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*w - 281 - 667, 4*s - 222 = -w. Suppose 15*q - 24 = 13*q. Calculate the highest common divisor of q and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12*r. Let v(x) = -4*x. Determine p(v(u)).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*h + 12, 0 = a - 2*a + 5*h + 1. Let l(y) = y**3 + 5*y**2 + 4*y - 4. Let b be l(a). Sort b, -5, 4 in ascending order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**11*i)\/i**(-4\/11))\/(i**(-1\/10)*i*(i*i*i\/(i\/i**4)*i)\/i) assuming i is positive.\nAnswer: i**(601\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1545 * 0.21\nAnswer: 324.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23692 or -0.41?\nAnswer: 23692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4*u = 8. Solve 2*i = -5*g - 13, 5*i + u = -3*g - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from tmmmmfmftamtaff?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107)\/((-564746)\/(-7007)) + 6\/4.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -33*z + 132. Calculate v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 + 3*j - 1. Let r(k) = -k**3 - 6*k**2 + 2*k - 1. Let b(o) = -2*h(o) + 3*r(o). Let q be b(-4). Sort q, 2, -5 in descending order.\nAnswer: 2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 458 - 458. Is 15 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 19. Calculate the remainder when (-59)\/t - (-21)\/(-28) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14353 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 26 = 79. Let g = i + 32. Let t = 5 + g. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -34, 17, 5, 4 in descending order.\nAnswer: 17, 5, 4, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400036089?\nAnswer: 3, 19, 7018177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334238 is divided by 4516.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/146621 less than -14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - (-16226)\/(-63)) + 5. Let k = q + 259. Suppose 0 - k*a**2 - 4\/3*a = 0. Calculate a.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/(g\/(g\/g**(-6))))\/(g**1)**(-21\/2)*(g**(2\/7)*g)**23\/(g**(-5)\/g*g**2) assuming g is positive.\nAnswer: g**(347\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*x + 44629 - 43039 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:14 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 776. Calculate h(104).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/(-138)*(474\/4)\/79?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30\/13 (b) -3\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.5, -0.3, -4.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -430280*d*k**2*m**2 + 2*d*k**2*m + 2*d*k**2 - 7*d*k*m + d*k + 8*d + 2*k**2*m - 9824*k**2 - 191*m**3 wrt m.\nAnswer: -860560*d*k**2 - 1146*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 431*h**3*r**3 + 2*h**3*r**2 + 4*h**3*r - h**2*r + 24*h*r**4 - 12*h wrt r.\nAnswer: 2586*h**3 + 576*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 221499863?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -125306 + -605?\nAnswer: -126113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, 1 q, and 1 r when four letters picked without replacement from {z: 2, r: 1, e: 1, q: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1458\/91?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -1\/3*y**3 + 7\/2*y**2 - 2 - 4*y. Suppose 0 = 5*l - 3 - 27. Calculate k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -51*u. Let q(m) = 5*m. Determine 4*a(z) + 42*q(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1283 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*a**3*u - a**3 + a**2*u**2 + 2*a**2 - 2469*a*u**2 wrt a?\nAnswer: 156*a*u - 6*a + 2*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-17)\/(c\/c**(2\/3)))\/(c*c\/(c**4*c))**(2\/35) assuming c is positive.\nAnswer: c**(-1802\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574294.\nAnswer: 2, 7, 17, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 28 = -4*s - r, 4*r = 3*s - 31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 2*b - 1. Let v be a(1). Suppose -69 = -w - v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/((-18)\/(-45))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpdidp. Give prob of picking 1 d and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240022400 (base 5) to base 16.\nAnswer: 10b6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11330879566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 21. Let p be l(-10). Which is smaller: p or -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323\/(-285) + (-4)\/(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 9) to base 14\nAnswer: -428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146 is divided by 371.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.218496km to micrometers.\nAnswer: 218496000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34436 and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8669110 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) -2\/11 (c) 1 (d) 0.5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009630621 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12287655 divided by -45?\nAnswer: 273059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535355 is divided by 9680?\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07386262 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0) + 117\/(-507)*-247. Solve 16 + g = -36*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1302*8\/(-60) + -6. Let b = d + -168. Sort 5, -8, b in descending order.\nAnswer: 5, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*q**4 - 2*q**3 - 7*q + 24*q**4 - 10*q + 17*q - 346*q**2 to the form p*q**3 + d + j*q + f*q**2 + g*q**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 473.8 - 471.8. What is the closest to -3 in u, 0, 0.3, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j + 17 = -121. Let s be (0 + 2\/(-4))*0. Suppose d + s*d - 2 = 0. Is j less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.3. Let k be (2\/12)\/(1\/10). Put 2, k, s in decreasing order.\nAnswer: 2, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16 = -56. What is the units digit of 5\/2 - (-4)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*s - 81*s + 11*s)*((4 + 3 - 6)*(-1 + 2 + 1) + 1 + 5 - 3).\nAnswer: -430*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -50 - 36 - (34 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-17)\/(1836\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345699 and 576.\nAnswer: 22124736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 times 25.94722?\nAnswer: -1997.93594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-41 + (6 - 5). Let b be 85\/25 + -3 + (-59)\/w. Let z(k) = -23*k - 137. Let n be z(-6). Is n at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485813368*c**3 - 515925567*c wrt c?\nAnswer: -2914880208*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 7563528?\nAnswer: 7563528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2 - v. Let a be 1\/8 - 7\/(-8). What are the prime factors of x(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + sqrt(162) + sqrt(162) + -1 + sqrt(162))*5 + (sqrt(72)\/(sqrt(12)\/sqrt(3)))\/sqrt(9) + 5 + -2)**2.\nAnswer: -724*sqrt(2) + 65526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2496124*h**3 + 4205*h**2 - 340*h wrt h?\nAnswer: -14976744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*g = 12, 0 = -r + 4*g + 251 - 249 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2027397 + 14598896.\nAnswer: 16626293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 37, 9, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 81 + (-22 - (81 - -1))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000583643 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-58)\/(-18) - 2\/9. Let l(z) = 3*z + 1. Let v(j) = 8*j + 8. Let n(d) = l(d) + v(d). Let s(h) = -5*h - 4. Determine c*n(a) + 7*s(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-36))\/(1590\/848)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230285 - 230281. Let s(f) = -4*f - 3. Let p be s(-3). Solve -m + p = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4356 is divided by 240.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilil when four letters picked without replacement from iqlqsqqiqfiqlqis?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n - 5*s = 96, -509 = 5*n - 4*s. Which is smaller: n or -100?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -854 + 855. Let x be (-46)\/205 - 6\/(-30). Is o less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 - 40*n - 43*n + 84*n)*(-2 - 2 - 1)*(-4 + 6 + 2) to the form t + f*n and give t.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14058\/5 - 801289\/285. What is the common denominator of y and -21\/95?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x**4*x**(2\/11)\/((x\/(x*x**7))\/x))**(5\/2) assuming x is positive.\nAnswer: x**(615\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q**3 + 2954*q**2 + 83501*q + 493196 = 0. Calculate q.\nAnswer: -11, 4076\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*q**3 - 271*q**2 + 2211*q wrt q.\nAnswer: -48*q - 542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106a57 (base 11) to base 8.\nAnswer: -514505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**8\/2240 - x**7\/840 - x**4\/8 - x**2. Let p(y) be the second derivative of d(y). Find the third derivative of p(b) wrt b.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313103.\nAnswer: 7, 44729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycyk when four letters picked without replacement from {k: 1, j: 1, y: 2, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 20*h**2 - 22*h + 23. Let k be b(21). Solve 3*r + 4 - 16 = 0, -3*g + k*r + 7 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -5 (b) -3\/4 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3762)\/152 + 70\/(-280).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c**3 - 39*c**2 - 40*c**2 + 79*c**2.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Suppose -5*a + q = -15. Suppose 37 = 2*d + p, -2*p - 112 + 42 = -a*d. What is the least common multiple of d and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {b: 8, t: 6, a: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6\/7)*t)\/t**(-23))\/(t**(2\/19)*t)**(-1\/27) assuming t is positive.\nAnswer: t**(28948\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 1. Let n = i + -1.1. Which is the third smallest value? (a) -4\/5 (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(39)\/(sqrt(96)\/sqrt(2)) - ((sqrt(117) - (-4*sqrt(117) + sqrt(117)))*-3)\/sqrt(9)).\nAnswer: -3 + 49*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2693072 milligrams?\nAnswer: 0.0000002693072","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (3\/(36\/15))\/((-4)\/(-64))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141514701 plus 2069454?\nAnswer: -139445247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 25 - 8 = 0. Suppose -d + 0*d = -g. Suppose 15*p = d*p + 10916. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-12\/11))\/n**(8\/9) assuming n is positive.\nAnswer: n**(-97\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 28 = 37 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63809, -127628, -191447, -255266, -319085, -382904?\nAnswer: -446723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 51090599?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263683 less than 2263683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502985.34 rounded to the nearest one thousand?\nAnswer: 4503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/(-18))\/(-1 - 508\/(-520)). Suppose -55 = -30*q + l. What is the second biggest value in q, -0.01, -1\/11?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 + 7745*s**3 + 76995*s**2 + 69255*s = 0.\nAnswer: -1539, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**3*a)\/a)**(-3\/16))**9*(a**11*a*((((a*a**(-7))\/a*a*a)\/a)\/a)\/a)**(-1\/47) assuming a is positive.\nAnswer: a**(-3871\/752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522104 (base 6) to base 13.\nAnswer: 16126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -7 + 11. Let v be ((-2)\/(-3))\/(z\/(-18)). Solve -i = -4*i + d + v, 0 = 3*i + 3*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140417608 to the nearest integer?\nAnswer: 11850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 1)*(-3 - 195\/(-66)). Which is the fourth smallest value? (a) 1\/4 (b) u (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.024 * 2918656.\nAnswer: -70047.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 2*r**2 - r + 2.\nAnswer: (r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w*(w*w\/(w*(w*w**(2\/3))\/w))\/w)*w*w**7)\/(w**(-3\/4)*(w*w**(-1\/3))\/w*w))**(-7\/5) assuming w is positive.\nAnswer: w**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 - 5*x + 5. Let q be 1\/(0 + 1) + 4. Is n(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o = 136 + 151 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -19. Suppose -3*o + 5*q + 183 = -236, 0 = -4*q + 8. Calculate the highest common divisor of o and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*z - 304 = 0, -z = -2*h + 6*h + 626. Let f be 4\/((-16)\/h) - 1. Let i = 14 + f. What is the greatest common divisor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63591170 is divided by 1206.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.640953 rounded to 2 decimal places?\nAnswer: -4.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 11*b**2 + 7102*b + 49603. Calculate j(-7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 93960?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/55 in 6, 166, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1140, -4740, -10746, -19164, -30000?\nAnswer: -43260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:40 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61754173?\nAnswer: 13, 353, 13457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 158*m - 160*m + 18 + 30. Let b be h(20). Find the first derivative of 7*d - 2 + 10*d + b*d wrt d.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11747, 11744, 11745, 11750?\n\"Answer: 2*u**2 - 9*u + 11754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 250*j**3 - 2388 with respect to j.\nAnswer: 750*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242278313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 3*l**2 - l**3 + 0 + l - 1\/12*l**4. Let d = -1083588 + 1083582. What is f(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1616?\nAnswer: -1616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1477 * 0.3.\nAnswer: 443.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83162 + -32088. What are the prime factors of f?\nAnswer: 2, 25537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 10:50 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -164, -549, -1298, -2531, -4368, -6929?\nAnswer: -10334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3124974, 3124959, 3124944, 3124929, 3124914, 3124899?\n\"Answer: -15*p + 3124989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 + -0.3. Let a = 20 + -18. Let u be a + (3 - (-66)\/(-14)). What is the nearest to u in y, 0.2, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63240 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(1584) + 1) - -6*(sqrt(1584) + -2*sqrt(1584)))**2 + -3 + 2.\nAnswer: 960*sqrt(11) + 158413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4916828.\nAnswer: 2, 7, 175601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -89*m + 4. Calculate b(-1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-135)\/(-5) + (-32)\/10*(-15)\/6. Solve -h = -61*v + 26 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 156, 157?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26047.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.057 - -1.643. Let t = -2.5 - -2.4. Do t and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/22 and 61\/38040.\nAnswer: 418440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbx when three letters picked without replacement from {b: 8, x: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((54\/60)\/(-3))\/((-3)\/(-4)). Sort 0.03, -6\/5, t.\nAnswer: -6\/5, t, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5201*h + 5206*h - 2*m - 75, 0 = -h - 4*m + 2*m - 81 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425236 a multiple of 587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 + 244 - 563 + 103*b**3 + 175.\nAnswer: 103*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 1159\nAnswer: 1159.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 15*q - 4. Give h(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 4:44 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 151d + 1?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9935 - 9675. Suppose w = -3*w - 3*i + 68, -3*w = -i - 64. What is the greatest common factor of v and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/230 and -107\/40.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*n = -195*n - 27 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1104*(5 + -3). Let b = 8417\/276 - q. Calculate the common denominator of b and -2\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*2\/(-24)*156*(-23)\/(-1).\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -2) - (-2 - (2 - 12)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y - 1. Let c(b) = -8*b**2 - 5*b + 6. Determine -c(u) - 6*l(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 5*x**2 - 5*x + 2. Let m be t(-6). Let r be (-4)\/(m\/2) + 8. Suppose -2*k = -4*k + 4. What is the greatest common factor of k and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 2*i. Let c be l(4). Suppose 0 = 29*q - c*q - 220. Is 34372\/q - (-2)\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 3, k: 4, b: 1, s: 3, h: 4}. What is prob of sequence ukuh?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 - 82. Suppose -19*l + x = -112. Solve -l = -0*j + 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2125480 and 83\/20935978.\nAnswer: 418719560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/5 (c) -9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11303.04 + -0.07339.\nAnswer: -11303.11339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 4d86 (base 16) in base 8?\nAnswer: 46606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3)*2 - (-88)\/(-56)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-27))\/(3\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 1695\/17?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -1\/14, -6\/7, 5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 3\/6764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, a: 1, i: 4, u: 2, n: 1, l: 2}. What is prob of picking 1 k, 2 u, and 1 n?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -769883, -769852, -769821, -769790, -769759?\nAnswer: -769728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4081 - -0.2081. What is the biggest value in x, -2\/3, -26, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 16*h**2 - 15*h + 8. Let j be n(-15). Which is the third smallest value? (a) j (b) -0.5 (c) 0.4 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1378888 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.9 + 1.1. Let m = 11.9 - l. Let o = m + 0.5. Sort -0.1, -5, o.\nAnswer: -5, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**3 + 0*s**3 + 0*s**3 + (3*s**2 - 3*s**2 + 2*s**3)*(-3 + 1 + 3) - 2*s**3 + 39 - 39.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 888*g**3 + 1755*g**2 - 2646*g.\nAnswer: 3*g*(g - 1)*(g + 3)*(g + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (7 - 3) - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -98.093. Let n = p + -0.026. Let d = n - 0.053. Round d to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19949*q**2*t + 4*q**2 - q*t**3 + 7*q*t - 222*t**3 - 584*t**2 + t + 2 wrt q?\nAnswer: 39898*q*t + 8*q - t**3 + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 2*k - 7. What is the remainder when p(-5) is divided by (-745)\/(-25) - 0 - 15\/(-75)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 19 + -4 - 14 - 14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 3 + 0*q**2 - 2\/3*q**3 + 1\/2*q**4 + 0*q. Factor y(w).\nAnswer: 2*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/9))\/i)**(-1\/45)*(i**(-3\/13)*i*i)\/(i\/(i\/(i**20*i))) assuming i is positive.\nAnswer: i**(-101263\/5265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 253922 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 16 = 3*a - 2*n, -5*a - 3*n = 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 346 + -325. Suppose r*o + 432 = 25*o. What is the greatest common factor of o and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*s - 93, -3*s - 49 = q - 3*q. Suppose 2*x = -3*m + 94, -3*m - q = x - 118. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12005, -23997, -35989, -47981?\n\"Answer: -11992*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - (17 + -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -7.5. Let q = v + 2. Let o = 2744405.1 + -2744405. Which is the closest to 0.1? (a) -1 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9702.395ug in grams?\nAnswer: 0.009702395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**27)\/b*b)**(1\/57) assuming b is positive.\nAnswer: b**(-26\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h = -152*h - 1768 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-2) + -13 + 12. Let m(h) = h**3 - 5*h**2 - 13*h - 8. Let b be m(f). Suppose 80 = n - 0*r - 3*r, -4*r + b = 5*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80\/11, 12, 4, 5 in increasing order.\nAnswer: 4, 5, 80\/11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 7:40 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 22 = -5*h, 5*r - 2 = h - 24. Let g = 16 + 3. Let u = r + g. What is the remainder when 29 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*x + 72994 = 1003, 0 = q + 4*x - 18012. Let n = 8 + -8. Let r be q*(345\/9 - n). What is r rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 10:30 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2873 divided by -3898.\nAnswer: -2873\/3898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let m(w) = 0*w**2 + 3*w**2 - 2*w**y + 4 + 7*w. Let u = -17 + 12. Give m(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 7. Suppose z - 4 = -0*z. Let l be -9*z\/4 - -3. Calculate f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/10 + 4\/5. Let r = 92.99 + -94. Let b = 0.01 + r. What is the closest to -2 in y, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/3 + 7*t**2 - 5*t. Let b be v(-7). Put 2, -2, b in ascending order.\nAnswer: -2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9755 and 1951?\nAnswer: 9755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/336440 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 + -0.8. Let o = -1\/141 - 134\/987. Let r be 6\/(-4)*(-2)\/(-12). What is the nearest to -1 in r, o, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 230, 225, 216, 203, 186?\n\"Answer: -2*o**2 + o + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114103 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwwccowojwwcwoocjoc. Give prob of sequence woww.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132729 and 6795?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 260 + 440*m**2 - 114*m**2 - m - 1474*m**2 - 282*m**2 - 875*m**2 wrt m?\nAnswer: -4610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -1. What is the third derivative of t*w**4 + 5*w - 5*w - 2*w**2 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 57*i + 193 - 158 = 0, 3*h + 4*i = -21 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 12 = 0. Suppose 3*f - 3 = w. Suppose -f*o = -20 - 16. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -33*p**3 + 202*p**2 - 24*p + 18. What is a(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/5 - 44*p**4\/5 - 3066*p**3\/5 - 2924*p**2\/5 + 6032*p\/5 = 0 for p.\nAnswer: -29, -2, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -35*h**3\/6 + 51*h**2\/2 - 25*h. Find the first derivative of k(j) wrt j.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/25)*g)\/g*g**(-6\/13)*g*g**15*g**(-7)*g assuming g is positive.\nAnswer: g**(3399\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:02 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*f**2 + 33*f**2 - 2*f**3 - 3*f**2)*(-6*f + 0*f + 3*f) to the form h*f + k*f**2 + i + v*f**3 + c*f**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13791 - 13703. Calculate the greatest common divisor of 30052 and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 23 = -5*l, 5*l = -3*g - 126 + 104. Let k be (-4 - (-10)\/5)\/(-8). What is the nearest to 2 in l, -1, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -570 + 636. Suppose -2*x - 520 = -2*v, 202 = v - 3*x - o. What is the highest common factor of v and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/(-126))\/(16836\/(-2196))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -253, -647, -1191, -1879, -2705, -3663, -4747?\n\"Answer: d**3 - 84*d**2 + 7*d + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(10)\/(sqrt(12)\/sqrt(24)))**2*5.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 1256 = 1230. What is the remainder when v is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 5, -41, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -92836\/3 greater than or equal to -326\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrzrrrrmrrrrxr. Give prob of sequence xxr.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 21 - 3. Suppose -3*a = 3*s - 24, 5*s - j = 4*s - 3*a. Suppose -z + 10 = -s*l, 3*l = -z - l + 31. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6*i + 11*i - 422 = 0, -2*v - 2*i = -422. Calculate the remainder when v is divided by 65.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286767 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 388*u - 20. Does 49 divide o(149)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36266, 36267, 36268, 36269, 36270?\nAnswer: 36271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-12)*(-2 - (-28)\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**3 - 20*k**2 + 12*k + 9. Determine z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 2. Suppose y - 3*y = -10. Suppose -y*x + 4*x = 0. Let i be 1\/(2\/(-8) + x). What is o(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27542485, -55084958, -82627431, -110169904, -137712377?\n\"Answer: -27542473*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a second in milliseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 67167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 217 - 116 + 447 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*w = 3971 - 2988 + 5416 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*i - 1920 = 0, -4*j - 21*i + 24*i + 3838 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3346281?\nAnswer: 3, 29, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -15*i + 20. Let t = 17461 + -17459. Sort 0, 7, i, t in increasing order.\nAnswer: i, 0, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, z: 12, a: 6}. What is prob of picking 1 z and 2 a?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -8. Let a = 5 - p. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 2134*y + 187274. Determine m(79).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2592? (a) -2 (b) -5 (c) -6579 (d) 3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 26. Let c be r(-7). Suppose c*w + 0*w - 4*u - 170 = 0, 4*w - 288 = -5*u. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*a + 156 - 92 - 16 to y*a + o and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1609 + 1649. Let v(z) = -16*z - 2. Let c be v(-2). Calculate the highest common factor of c and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = -127*g + 180*g. Solve g*y + 2*j + j = 0, 4 = 4*y + 2*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45284903721.747 - -0.4\nAnswer: 45284903722.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -220bc05 - 1?\nAnswer: -220bc06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967105 is divided by 66?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2682 = -3*n - 3*a, 5*n + 2*a + 2590 = -1868. What is n rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1104*g - g**4 + 1125*g - 2220*g - 42 in the form a*g + i*g**2 + h*g**4 + t + x*g**3 and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10514 and 19\/6?\nAnswer: 31542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/12 - 5*z**3\/3 + 15*z**2\/2 - 13*z. Let v be s(10). Suppose -v*p + 26*p - 154 = 0. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1496 and 8734?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*j + 213*j - 826*j + 214*j + 207*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -413 + 2548. List the prime factors of t.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 17 - 68 - 51?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4. Let m = 4 - q. Let y be 4 - 6\/m - -1. Solve -u + 4 = s + s, -y*s - 3*u + 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155530 (base 6) to base 4\nAnswer: -3302232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -967\/4 + 242. Let h = -5 - -9. Which is the third biggest value? (a) h (b) g (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.2, 0.53?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2540 by 1.\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/4)\/(6\/36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108805138*-3.\nAnswer: -326415414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -1*sqrt(170))*-5)\/((sqrt(180)\/sqrt(6))\/sqrt(3) + sqrt(10)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 31*r - 3 - 33 - 31*r**2 - 132*r**3 + 131*r**3. Let u be p(-32). Which is the closest to 0.08? (a) 1 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01752 * 1754.\nAnswer: 30.73008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -30. Let i = -10\/163 - -616\/4727. Which is the nearest to 0? (a) x (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/32331948 and 83\/30.\nAnswer: 161659740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/15*(-5)\/2. Let o = -0.1 + 4.1. Which is the second smallest value? (a) 2 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8392 is divided by 287?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/5 - 53724*a**2\/5 + 72541962*a - 5167469520 = 0. Calculate a.\nAnswer: 72, 13395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*a - 0*a. Suppose 6*f - a = 2*f. What is the second derivative of -2*l**3 + 15*l - 6*l - 8*l**f wrt l?\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1814)\/(-6))\/(3 - 8\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 1 = 4*v + 8, c = -2*v + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5\/9 - 124*r**4\/9 + 132*r**3 + 4684*r**2\/9 - 1184*r\/9 - 1520\/3 = 0. Calculate r.\nAnswer: -38, -3, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343798575 and 1038?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13280 and 164340.\nAnswer: 1314720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -5)\/((-522)\/(-1131))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 6 = 24. Let k be 2 + -2 + v\/4. Put k, 5, -1 in decreasing order.\nAnswer: 5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126 + 289. Let c = y + -67. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (259 + -266)*27\/(-21)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l = -v - 405, -5*v = -5*l + 1015. Calculate the remainder when l is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**5 - 810*k**4 - 1605*k**3 - 800*k**2 = 0.\nAnswer: -160, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.3, -1265, 44?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 + 47*u**4 - 216*u**3 + 252*u**2.\nAnswer: -u**2*(u - 42)*(u - 3)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 38.13721 minutes?\nAnswer: 2288232600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 46 - 7. Suppose -5*n + 4*i + 48 = 0, -1 = -2*n - i + f. Suppose 20 = -6*j + 7*j. Calculate the highest common factor of n and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5\/4 - 1535*a**4\/4 + 105939*a**3\/2 + 1076328*a**2 = 0.\nAnswer: -1661, -18, 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:34 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5390 - 3948. What is the remainder when l is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.1. Let k = 20.092 - 20. Let v = d + k. Round v to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*n + 29*n - 17653 = -761*n + 8807 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111002 (base 3) to base 8.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 5*y = -12*o + 48, -4*o + 2*y = 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180870354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 363857.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 23*x - 11. Let w be v(12). Which is greater: 2\/149 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -2*m**5\/45 - m**4 - 50*m**3\/9 - 26*m**2\/9 + 80*m\/3 + 1263. Solve g(x) = 0.\nAnswer: -12, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + 7*h**2 - h**2)*(74*h + 231*h + 361*h) as p*h + q*h**3 + t*h**2 + c and give q.\nAnswer: 4662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 0.01, 3, 99639, -7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(5676\/(-2664)) - 20?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912648.2 kilograms to tonnes.\nAnswer: 912.6482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2139240.\nAnswer: 2, 3, 5, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3 + 271035*v**2 - 1626129*v + 2439153 = 0.\nAnswer: 3, 90339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -1.19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.6 + -44.6. Suppose -3*m = -2*t - 4*m + 10, m - 20 = -4*t. What is the biggest value in t, i, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2268 - 3?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -1607, -4, -9, 0 in decreasing order.\nAnswer: 28, 0, -4, -9, -1607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/859800 and -49\/2400.\nAnswer: 3439200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(47*f**3 + 0*f**3 + 3*f**3)*(24*f + 13*f - 30*f).\nAnswer: -700*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -401604514, -803209026, -1204813538, -1606418050?\n\"Answer: -401604512*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -20 - 22 - (1 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*1\/(5\/2). Factor 2*d - 2*d - 3*d**3 - 3 - 9*d - 9*d**z.\nAnswer: -3*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6480 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132859 or -132965?\nAnswer: -132965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2268) - (-1*sqrt(2268) + -5 + sqrt(2268))))**2*-1.\nAnswer: -2284 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-942)\/(-54165)*(5 + -1 + 1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - ((-5 - -1) + 2)) + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23243 (base 8) to base 11.\nAnswer: 7482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5031*a - 2500. Calculate the least common multiple of u(-2) and 18.\nAnswer: 68058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {c: 1, a: 1, i: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.5, 10, 3, 8\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -220 - 64a?\nAnswer: -86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*(2698\/142)\/95?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -607.5 + 652. Let t = -46.5 + w. Which is bigger: 0.004 or t?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6, -0.05, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.71 + 0.35. Let l = a - -0.66. What is the smallest value in 1\/3, 4, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2328 divided by -4.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 - l - 3. Determine h(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427567719 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*0.13479.\nAnswer: -0.161748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*c - 11. Calculate the smallest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((7 - -11) + -16)*(-57)\/(-12)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57347 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 common denominator of 40\/61077 and -52\/7268163?\nAnswer: 7268163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -66\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18870 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**2 - j + 1. Let p be 498\/(-830)*(-10)\/6. Let c(i) = 5*i**3 - 2*i**2 + 2*i - 10. Give p*c(y) + 2*w(y).\nAnswer: 3*y**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -214381874855 take away -2.4?\nAnswer: -214381874852.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -34.1528. Let o = i + -0.167. What is o rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 126526672 and 209333.\nAnswer: 126736005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 4*v)*(140*v - 129*v**2 - 140*v).\nAnswer: 516*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 3*n**2 - 3*n - 4. Suppose -5*o + 41 = 11. Suppose 4*j - o = 6. Let c(k) = k**3 + k**2 - k - 1. What is j*c(u) - l(u)?\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2109 - -33729\/16. Calculate the common denominator of c and 31\/52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 1. Suppose 8 = 3*j + 4*f, -2*j + 29 = -3*j + 5*f. Let v be z(j). What is the units digit of (-6)\/27 + v\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-9)\/(-12))*105\/(-10). Let n = 26 - p. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 5*n - 4. Suppose -56 = -0*b - 2*b. Let t = b + -8. Suppose -z - t = -6*z. Calculate y(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 2, w: 1, n: 1}. What is prob of picking 3 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1091016*m. Let h(u) = -2*u. What is h(t(f))?\nAnswer: 2182032*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -780 - -2052. Round q to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -716584210 rounded to the nearest one hundred thousand?\nAnswer: -716600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 2:41 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 14*n**2 - 9*n - 280. Let x be k(-15). What is the highest common divisor of 1600 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/57 + (-19467804)\/(-228). Round d to the nearest 1000.\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 21431, 5.\nAnswer: -0.8, 5, 21431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 9*y**2 - 10*y - 17. Calculate z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.13 + 13.1. Let c = 2.71 + -0.21. Let o = c - w. Round o to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-42 - (0 - (-17 + 4 + 3 - -15)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -1. Let h = -41.3 + 40.3. Which is the closest to h? (a) j (b) -0.2 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3882\/(-4) + 18\/12. Let n be w\/(-85) - (-2)\/(-5). Let z(t) = t**2 + 3*t - 4. Let o be z(-4). Solve -3*p - r - 7 = -o*r, p - 3*r = n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63.33817l?\nAnswer: 63338.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(245)))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57575 (base 9) to base 12.\nAnswer: 1a265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -12 + 0 - -6 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21416245 (base 7) in base 10?\nAnswer: 1836553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*g = -36*g - 2*g + 7686 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 30. Let r be c(11). Let u(i) = -2*i + 29. Let j be u(r). Let z = j - 21. Solve -v = 5*w + z, 3*w + w - 5*v - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 24*l**2 + 22*l**2 + 23*l**2 - 88*l**2 + 32*l**2.\nAnswer: 13*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(2 - 2*o**2 - 2) - 418*o + 133*o**2 + 1107*o + 119*o**2 - 228*o**2 as i*o**2 + l + f*o and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246980.\nAnswer: 2, 5, 112349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 + 5)*(4*w - 5*w + 3*w) + 2 - 2*w - 2)*(-41 - 15 - 28)*(0*w - 4*w + 6*w) to the form a + p*w + i*w**2 and give i.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172123.\nAnswer: 7, 67, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 4, d: 7, a: 3, k: 1}. Give prob of sequence rda.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1460040 - 4154?\nAnswer: 1452553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/6)\/((-14)\/(-42)). Suppose 5*a + 4016 + 6838 = 3*l, 0 = a + s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175385983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:54 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-13\/3)\/n)\/n**24 assuming n is positive.\nAnswer: n**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - 33*x - 124. Calculate the remainder when k(-4) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -92.9. Let f = 107261 - 107252.9127. Let h = n - f. What is h rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888976 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/720 + 29*o**5\/120 - 11*o**4\/12 - 14*o**2. Let r(a) be the second derivative of x(a). What is the units digit of r(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37\/(-13) + (-6)\/39. Calculate the remainder when 10 is divided by 14\/(-6)*k - 16\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 30 = 5*u. Suppose -u = -3*c - 1. Solve c = -2*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 p when three letters picked without replacement from ptffttbpfbp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 3*s + 187 = 0. Suppose 0 = 20*z - s*z - 24. Solve -z = 5*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-60))\/2*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 891 or 32?\nAnswer: 891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m - m**3 - m + 2*m**3 + (-3 + 5 + 2)*(2*m**3 - 5*m + 5*m).\nAnswer: 9*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000326 to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let a(i) = 1073045043*i. Give a(k(b)).\nAnswer: -1073045043*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37810 and 170145?\nAnswer: 340290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*b + 4, -4*h + 501 = -3*b. Suppose h*k - 126*k + 159 = 0. Calculate the remainder when 102 is divided by k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499931?\nAnswer: 29, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = -3*z + 15, 2*u + 12 = 4*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.463 - 0.351. Round p to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, -14, -102, -262, -512, -870, -1354, -1982?\n\"Answer: -3*l**3 - 9*l**2 + 14*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -13*y**5\/30 - y**3\/6 + 5627*y**2. Let v(c) = 3*c + 3. Give v(r(b)).\nAnswer: -78*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - l. Let g(k) = k**2. Determine 7*g(u) + 3*s(u).\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2835156 divided by 76.\nAnswer: -708789\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -423 * 6\nAnswer: -2538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002727 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.1. Let u = 6 + -9. Let d be u\/18 - 2\/6. What is the third smallest value in -1\/5, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -3. What is the closest to -2 in -4, 2, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*d - 88168 = -88196, d = -5*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -7*c**3\/6 - 2*c. Let h(g) = 120*g. Let y(q) = -2*h(q) - 35*n(q). Let v(f) = -3*f + 5*f - 4*f. Give v(y(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-14) + (-44)\/7. Let a(y) = y**2 + 2. Let m(o) be the third derivative of 3*o**5\/20 + 17*o**3\/6 + o**2. What is t*m(g) + 51*a(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781618 divided by 14.\nAnswer: 390809\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 + 20*f**2 + 8*f - 9. Let y be q(9). Let r = 650 + y. What is the remainder when r is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-19 - (-67 + 34)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(27) + sqrt(54)\/sqrt(2) - sqrt(27))\/sqrt(9)*-6 + (2 + sqrt(27)\/(2*sqrt(9)) + sqrt(3))**2 + 4).\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -36*h**4 - 6*h**3 + 11*h**2 - 6*h - 124. Let w(p) = 4*p**4 + p**3 + p. Let l(k) = b(k) + 6*w(k). What is the first derivative of l(y) wrt y?\nAnswer: -48*y**3 + 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -10. Let i(d) = -3*d + d - b + d + 2*d. Let g be i(7). Solve -g*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(224) + (2*sqrt(224) + sqrt(224))*-1))\/(sqrt(56)\/(sqrt(28)\/sqrt(4)) - sqrt(72)*4) + 5.\nAnswer: 5 + 24*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 365*a - 1081. Let h = -155 + 318. What is the remainder when h is divided by k(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2915116119 to the nearest integer?\nAnswer: 53992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose 3*m - w*m - 12 = -3*h, m = -2*h + 9. Suppose 0 = 3*b + 2*n - 24, 3*b = m*n + 41 - 17. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -4*u. Suppose 0 = g - a - 2, -2*g - u*g + 18 = 3*a. Let o(v) = -v + v**2 - v**3 + 3*v**2 - 1 + g - 2*v. Determine o(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 11*y**6\/30 + y**5\/20 - y**4\/12 + 37*y**2\/2 + 1518*y. What is the third derivative of l(r) wrt r?\nAnswer: 264*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = x + 2*x - 569, 3*x + 2*g - 593 = 0. Let p = 299 - x. What is the greatest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5092 and 8911?\nAnswer: 35644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 8*b = 5*s + 20, 2*s + 9 = 3*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millimeter in micrometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43495620 to the power of 1\/2, to the nearest integer?\nAnswer: 6595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3754 + 3b?\nAnswer: 3793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9047739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 - 4*k + 1. Suppose -r - 8 = -3*r. Let a(g) be the first derivative of 5*g**3\/3 - 5*g**2\/2 + 2*g - 3. Calculate r*x(o) - 3*a(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 31 - 50 = -155. Put p, 3, 5, 1, 13 in increasing order.\nAnswer: 1, 3, p, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(153)*-6)\/(sqrt(9) + sqrt(900) + 1*sqrt(900) + sqrt(900) - sqrt(9)).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 443127 or 443272?\nAnswer: 443272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8467224 and 2116806?\nAnswer: 8467224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6607 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 2*r + 1. Let p be i(2). Let f be 2\/(0 + 2) + 26. Suppose 3*b + f = 3*j, 3*j - p = -b + 2*b. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*z + 19. Suppose 119 = 5*n - 2*a, -n + 7*a = z*a - 16. Let v = n - 24. Solve g + v = -0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(-2)\/((-22)\/3). Which is the closest to -0.1? (a) 275 (b) n (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/703 and 32\/57?\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 7635*t + 53383. Calculate h(-7).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*k**3*z**2 + 3564*k**3 - k**2 - 203479*z**2 wrt k?\nAnswer: 1086*z**2 + 21384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 61*q**3\/3 + 2*q**2 - 10*q + 37. What is the second derivative of w(l) wrt l?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Suppose 0*w = 2*w + 18. Let d = -7 - w. Let o(h) = -7*h + 1. Let q(t) = 11*t - 2. Let z(y) = -3*o(y) - 2*q(y). What is d*l(s) + 2*z(s)?\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 (base 15) in base 9?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38*-1*477\/(-18126)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 5 - 70009*i + 2.\nAnswer: -70009*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q. Let b be x(0). Suppose -5*d + 225 = 7*y - 2*y, -5*d - 25 = b. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*o + 1264*o + 617 - 3235 = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491574 to the power of 1\/2, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 51. Let n(r) = 37*r + 0 + 10 - a*r. Calculate n(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b657 - -1?\nAnswer: 11b658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*(-5 + 1 + -1663))\/((-2)\/(-20)).\nAnswer: 2, 5, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 1, x: 2, r: 2, b: 1, k: 1}. What is prob of sequence dlr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 4*p**2 + p. Give c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 12*x = 2*x - 161 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -476 - 747*p - 606 + 2289 - 699 wrt p?\nAnswer: -747","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-5)\/15) - -7. Suppose 0 = b + v*f - 14, 10*b - 8*b - 10 = -2*f. Solve -2*t = -z - b, -2*z + 2*t - 7 = -3*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -47, 5, -3?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 115*v + 68*v - 155*v + 0 + 2*v + 0 + (4*v - v - 2*v)*(6 - 2 - 3) - v - v + v.\nAnswer: 30*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -21*b - 10. Let o be q(-5). Suppose -4*v + o + 17 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*n - 35*n**2 + 5*n**2 + 9*n**2 + 7*n**2 wrt n?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470779980 a multiple of 4633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 185*y**8\/56 - 151*y**4\/6 - 145*y. What is the third derivative of f(w) wrt w?\nAnswer: 22200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-69)\/(-9))\/((-1)\/(-33))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2507774810?\nAnswer: 2, 5, 1723, 145547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-26)\/(-4)*18 + 13 + -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*h = 3*h - 64, 0 = 4*h + 16. Suppose 79 + 217 = 4*a. What is the remainder when a is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -7*s - 17*s - 12 - 36*s**2 + 41*s**2 - 20*s**2 - 3*s**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 3*a**2 - 4*a + 6. Let l be x(2). Solve -l*r - 2 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 + 826181*y\/2 - 826183.\nAnswer: (y - 2)*(y + 826183)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47 - 4*y**3 + 6*y + 47 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1407?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (26 - 25)) + -22 + -3 + 5 + 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + -28. Let r = f + 73. Suppose -4*p + j + 0 + 14 = 0, -r*p = -5*j - 22. Solve -3*q - 21 = p*n, -5*q = 3*n + 7 + 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 28) + -1 + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - k + 1. Let m be g(0). Is 3 a factor of (158 + -2)\/(-1 - m - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-5))*b)\/((b*(b\/((b\/((b\/(b*b*b**(-2)))\/b))\/b*b)*b)\/b)\/b))\/((b**2*b*b)\/b*b*b**(-1\/8)) assuming b is positive.\nAnswer: b**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5 - 2\/5*o**3 + 8\/5*o**2 + 2\/5*o = 0. Calculate o.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 336.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16408514?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -60. Suppose -5*t - w = -1431, 8*t - 13*t = 5*w - 1435. Calculate the greatest common divisor of n and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1035\/1067?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15755350*c + 11609928?\nAnswer: -15755350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/15 + -5\/3. Is l <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3691*-0.3\nAnswer: -1107.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 82*s - 488. Let k be d(6). Let y be 85\/(-10)*(-2 + -1). Find z such that 6 - 69\/2*z**k - 105\/2*z**3 - 15\/2*z**5 + 6*z - y*z**2 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-65)\/(-7) + (-6)\/21. Let j(t) = -t**3 + 8*t**2 + 9*t + 4. Calculate the least common multiple of j(z) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4351 = 11*s - 13*s, -4343 = -2*s - 5*p. What are the prime factors of s?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*b. Find the second derivative of -2*g**4 - b*g**4 - 56*g + 25*g + 26*g wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -101?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 9*l**2 + 6*l + 19. Determine u(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 2317.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/20*(-655)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23726467777 from -4.\nAnswer: -23726467781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -663*l. Let g(r) = 51*r. Calculate -4*b(x) - 51*g(x).\nAnswer: 51*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, a: 1, q: 2, b: 1, k: 1}. What is prob of sequence xrq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 328*m - 38140. Give b(-91).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 11*u = 300. What is the highest common divisor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**2 - 7*o + 4*o**2 - 19*o - 26*o + 15 + 32*o - 2*o**3 to the form w*o**2 + j*o + a + i*o**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-7))\/2)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 879, 892, 915, 954, 1015, 1104, 1227, 1390?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, 3, -2, -5, -6.\nAnswer: -6, -5, -2, 3, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-2\/19)*z)*z*z)\/z)\/z)**(1\/44)\/(z\/z**(-8))**(1\/7) assuming z is positive.\nAnswer: z**(-3755\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 51*m - 1071. What is z(67)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/9 - 4042878*c - 36385904\/9 = 0. Calculate c.\nAnswer: -1, 18192952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 55*o - 145 - 162 = 466, 3*f - 61 = 5*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*q + 361. Suppose q = 3*d + 4*d. Solve -f - 3*u = -16 + 3, 5*u = 4*f + d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 14 = 3*x, -6*g + 5*g = 4*x - 6. What is the tens digit of 4 - -14 - (-2 + (6 - x))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5583.63 months in decades?\nAnswer: 46.53025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/51384 and -19\/83499?\nAnswer: 667992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977*k + 287*k + 235*k + 1498*k + 1223*k + 867*k.\nAnswer: 5087*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - o - 1. Let y(s) = 3*s**3 - 12*s**2 - 11*s + 18. Let x(t) = -6*h(t) - y(t). Let w be x(-13). What is w rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -2. Let f be g\/(-14) + (-5)\/(-7). Suppose 0 = -t + 4*k - 3*k, -2*t + 4*k + 6 = 0. Which is the second biggest value? (a) t (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -1, 5 in decreasing order.\nAnswer: 5, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1*sqrt(152) - sqrt(152))\/sqrt(8) + -3)**2 - (5 + 2 + (sqrt(475) - (sqrt(475) + -5))**2).\nAnswer: 4*sqrt(19) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d**4 - 3698261*d**3 + 569834061729*d**2 + 14343150906501*d + 2374696410025 = 0 for d.\nAnswer: -25, -1\/6, 308201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 4. Suppose -4*b = 2*o - 20, 13 = 5*b - 12. Let v be k(o). Suppose u = 2*u - v. Solve 25 = 5*p, 3*d - u*p + 17 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.1321 - -1023635?\nAnswer: 1023658.1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l. Suppose 5*m + 10 = -7*h + 2*h, -5*m - 2*h + 2 = 0. Let i(k) = m*k**2 - 2*k**2 - 2*k**2. Give i(n(r)).\nAnswer: -162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m - 1233. Suppose -c + 644 = 2*c + 4*r, -m = -2*c + r. Let t = -787 + 813. Calculate the highest common divisor of c and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.0016, 24?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l. Let t(m) be the first derivative of m**2\/2 + 9. Calculate v(t(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3903942.\nAnswer: 2, 3, 7, 92951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 161*y**2 + 3*y - 317*y**2 - 3*y + 169*y**2. Let c(n) = -86*n. What is v(c(g))?\nAnswer: 96148*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 4*q**3 + 6*q - 281 + 281 + 11*q**2 - 9*q in the form c*q**2 + s*q + k + o*q**3 + m*q**4 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11121221 (base 3) to base 12.\nAnswer: -1b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 5*d - 4*d + (7*d + 7 - 7)*(-1 - 2 + 2) as r + k*d and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372375417.\nAnswer: 1103, 2150839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -7624302762.\nAnswer: -7624302762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*g - 4*w + 10, 2*g - w + 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1154 - -3161. What are the prime factors of b?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = -6. Solve y*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226913 is divided by 5299?\nAnswer: 4355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 7. Let s be v(-8). Let h = 556.8 - 555.8. Which is the nearest to h? (a) -33 (b) 4 (c) -3\/7 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-8)\/80)\/((-1)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + (-1 - (0 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 6*s**2 - 5*s**2 - s**2. Let p(o) = 3*o + 5. Let v(u) = 15*u + 24. Let x(k) = -24*p(k) + 5*v(k). Give h(x(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 188. List the prime factors of l.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, -3, -5, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 12 + l**2 - 2*l**3 - 3)*(3*l**2 + 2*l**2 - 3*l**2).\nAnswer: -4*l**5 + 2*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(3 + 5*(sqrt(17) + 2) - (((sqrt(136) - -3*sqrt(136)) + sqrt(136) - sqrt(136))*5)\/sqrt(8)) + 3.\nAnswer: -23 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5057*s - 40431. What is g(8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 7:16 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749915 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 11}. What is prob of picking 2 d?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9264 + -0.00651?\nAnswer: 1.91989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -0.58. Let z = 0.1 + 0.3. Let q = j + z. Which is the biggest value? (a) q (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 273*o - 101)*(-13*o - o - 5*o).\nAnswer: -5187*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let f(j) be the second derivative of -j**5\/20 + 2*j**3\/3 + 4*j. Let l(w) be the second derivative of f(w). Calculate l(v(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 2*p + 4, 16486*p - 16481*p + 35 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25007572 (base 8) to base 3\nAnswer: -101100212220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 19 = 3*i, m - 3*i + 4*i + 1 = 0. Does 25 divide (m - (-16)\/(-6))*-75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(-7 - 2*h + 4*h - h).\nAnswer: 2*h - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8 or 8\/5389?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-514 + 914 - 471)*(2*b**3 - 11*b**3 + 10*b**3 + 23*b).\nAnswer: -71*b**3 - 1633*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/10 - 126*t**2\/5 - 254*t\/5 = 0. What is t?\nAnswer: -2, 0, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 117141*w**2 + 117138*w.\nAnswer: 3*w*(w + 1)*(w + 39046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 133.99. What is the biggest value in 2\/3, v, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21699872.699853 + 21699886. Let c = -13.3 + t. What is c rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -19. Let w(h) be the second derivative of h**5\/20 + h**4\/2 - h**3\/6 - 5*h**2\/2 - h. Let g be w(q). Which is greater: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101101 (base 2) in base 15?\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 12:51 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 3*i + 2*i + 2*i - 2. Let n be c(-4). Solve 0 = 4*g - n - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/432416?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20100 by -1340.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 346, 51, 28.\nAnswer: -4, 28, 51, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -147 - 121 + 241 - 8*n + (4 - 2 - 1)*(-2*n + n + 3*n).\nAnswer: -6*n - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55543\/12 + -4632. Let b = -14193\/4 + 3570. Find the common denominator of g and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 214, 708, 1670, 3256, 5622, 8924?\nAnswer: 13318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let v(n) = n. Let z(t) = -4*t**2 - 2*t + 2*t + 3*t**2 + 9*t. What is r*z(o) - 18*v(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4\/9*s**2 - 20\/9*s + 8\/3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-30) - 3\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423746 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -3 (b) 1543\/3 (c) 1 (d) -0.02 (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 7*u. Let a be -9*(2\/2)\/(-1). Calculate the remainder when ((-24)\/(-10))\/((-3)\/(-40)) is divided by i(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-4)\/(-12324)*53. Let h = d - -2\/79. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*2 - (-114 + 40). Calculate the greatest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1613237 (b) -2\/3 (c) 0 (d) -2\/21 (e) -4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmn when three letters picked without replacement from {p: 2, j: 1, n: 5, m: 1, o: 3, w: 1}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8682.72 + -8686. Which is smaller: 2.4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 - 24*f**2 + 12*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68281089 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 75 - 20. Is x greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/60 + 3\/9)\/((-66616)\/330 - -202)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + p + 5*p)*(-p + p + 3*p**2) - 3*p**3 + p**3 + p**3 + 4*p**3 + 9*p**3 + 16*p**3.\nAnswer: 34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 51, -11, 7 in ascending order.\nAnswer: -11, -5, 7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 1041212401?\nAnswer: 1041212402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4019284.\nAnswer: 2, 29, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 1 (c) -5\/7 (d) 138 (e) 5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**3 + 65*p**3 - 19*p**3 - 18*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g + 5*n = -5, -4*g + 3*n = 1. Calculate the remainder when 155 is divided by (g*4\/2)\/((-34)\/51).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {g: 4, h: 3, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b. Let f(x) = 9*x - 3142. Calculate f(v(c)).\nAnswer: -45*c - 3142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-9 + -10) - (-6 - -21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -1. What is the closest to b in 26, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, u: 5, e: 2}. What is prob of sequence hhu?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 + -14 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064818 to 6 dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**7)\/(x\/x**(-1)))\/(x**6\/x*x*x**(-3))*(x**(-3\/2)*x*x**(2\/5))**(22\/5) assuming x is positive.\nAnswer: x**(89\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60055763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 512 + -411 + (2 - 0 - 9).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527, 896, 1265, 1634, 2003, 2372?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/8 - 15*j**3\/8 + 72*j**2 + 735*j\/2 + 294 = 0.\nAnswer: -14, -4, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Suppose -4*k - 5*t = -40, -y*k + 47 = t - 9. Let l be (-2)\/8 + 50\/8. What is the greatest common factor of k and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -922, -1384, -1848, -2314, -2782, -3252?\nAnswer: -3724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22\/13, -23 in ascending order.\nAnswer: -23, -22\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -2*l. Let a(g) = 2*g + 1. Let w(c) = 2*c. Give l*a(d) + 3*w(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 0*w**2 + 226 + 0*w + 5\/3*w**3. Let v(o) = 4*o - 1. Determine p(v(d)).\nAnswer: 80*d**2 - 40*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/18 - (-476)\/6. Suppose 5*j - i = -5*q, 3*j = 7*j + 16. Solve -4*m = -9*m + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let t be 1 - (x + -2 + -2). Find the third derivative of -2*h**2 + 7*h**t - 6*h**2 + 2*h**6 wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - a + 1)*(-2*a - 21*a + 26*a + 8*a**3) + (-60 - 179*a**2 + 60)*(-5*a**2 + 5*a**2 + a**2) as x*a**2 + y*a**3 + f*a**4 + w*a + z and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 2*x + 1. Let t be 32\/(-10) - (-2)\/10. Let l(p) = -2*p**2 + 2*p - 2. Let u be 3\/((-3)\/2)*(0 - -2). Give t*l(i) + u*g(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8438316677 to the nearest integer?\nAnswer: 91860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*((sqrt(2) - sqrt(72)\/sqrt(4))**2 + -2 + sqrt(288) + sqrt(32) + 3).\nAnswer: -16*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1175257\/50730 - -2\/8455. What is the common denominator of i and 6\/4*(-244)\/(-30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-4*4 - (sqrt(136)\/(sqrt(24)\/sqrt(3)) + -5))**2.\nAnswer: -1450*sqrt(17) + 357450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12000 (base 5) to base 12\nAnswer: 60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, 3, -66581, 0.04, -2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1826*k**2 + 808*k - 2 wrt k?\nAnswer: -3652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/9, -4, -0.11, -0.11171?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s\/(((s**(-7)\/s)\/s)\/s))\/s)*s)\/s**17*s**(-20)\/s*s**7)**(2\/7) assuming s is positive.\nAnswer: s**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**5 + 0*i**3 - 16*i + 0*i**3 - 2*i**5 + 0*i**5 + 0*i**5 - 2*i**5 - 2*i**5 + 6*i**5 + (0*i - i**2 + 0*i)*(-2*i + 2*i - 2*i**3).\nAnswer: 7*i**5 - 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -512064*w. Let o(q) = -4*q - 8. Determine g(o(u)).\nAnswer: 2048256*u + 4096512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 - (18 - (104 + -5)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 286, 647, 1156?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6 + 0*u**2 - 11 + 0*u**2 - u**2 + 18*u. List the prime factors of c(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 4*n - 4. Let r = 14 - 1. Let l = r + -12. Let p(x) be the third derivative of -x**4\/24 + x**3\/6 + x**2. Give l*a(g) + 6*p(g).\nAnswer: g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 154 = -u, -3*j + 0*u = 2*u - 169. Calculate the remainder when j is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117811 + -522?\nAnswer: 11729a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2097 or -2077?\nAnswer: -2077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 6:31 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9412.11 milliseconds to hours.\nAnswer: 0.002614475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 5, -2, -2\/7, -7129?\nAnswer: -7129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*1\/(6\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -157, -553, -987, -1459, -1969, -2517, -3103?\n\"Answer: -19*t**2 - 339*t + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-12)*(-1722)\/112. Is -20 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 68 (c) 3\/14 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 1758672*f - 22862060.\nAnswer: -4*(f + 13)*(f + 439655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from tfffffffffff.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {u: 6, y: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 11700060 = 0. Suppose 0 = -0*q - 2*q + 2*s - 1560010, 5*q - 4*s = -o. Round q to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1606 divide 2529464454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 + 800 = -87*a + 19*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -177.56. Let k = -2.5 - -2. Let d = o + k. Sort 2\/5, d, -0.4.\nAnswer: -0.4, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -11, -5, 2082?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52515 divided by -6.\nAnswer: -17505\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2 - 169*i - 660 = 0.\nAnswer: -165, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*y**3*z - 175339*y**3 - 34*y**2*z + 9*y*z with respect to z.\nAnswer: 49*y**3 - 34*y**2 + 9*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/2 - -5\/6. Find a, given that 1 - r*a + 1\/3*a**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 5*x - 17, 0 = -k - x + 11. Let b = k - -1. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, -375?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*l - 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 + 1834*l - 3664. Calculate i(-264).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + 0 + -4 + ((sqrt(108) - (-5 + 1 + sqrt(108) + sqrt(108)) - sqrt(108) - ((sqrt(108)*-2 - sqrt(108)) + 3)) + 1)**2.\nAnswer: 24*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.15*2.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6213219, 6213224, 6213229, 6213234, 6213239, 6213244?\n\"Answer: 5*k + 6213214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/12 + 8*u + 5. Suppose -b + 4*c = 3, -2*b = b + 2*c - 5. Let z = b + 0. Let n(v) = 4*v**2. Give z*n(t) + 3*r(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 754 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/330)\/(8\/44)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3792 and 2?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)**(4\/11))**(-5\/4) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 108295.1m?\nAnswer: 108295100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, 1, -1.2, 2470, 5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/5 + 71\/(-355) + 9175 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, -82, -381, -800, -1339, -1998, -2777?\n\"Answer: -60*g**2 + g + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -43*i**3 + 9*i**2 + 9*i - 9. Let h(b) = 11*b**3 - 2*b**2 - 2*b + 2. Determine 9*h(p) + 2*r(p).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5162 * 303842.\nAnswer: -1568432404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -63, -1446, 0, -2\/3, -1\/2, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (1 + 7) - -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4\/3 (c) 2\/7 (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v - 7. Suppose -20 = -z - 3*z. What are the prime factors of a(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13723364 a multiple of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6333 + -25331\/4. Factor -5\/4 + 3\/2*r - n*r**2.\nAnswer: -(r - 5)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*t + 1752 - 762 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2\/3 - 200\/300)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(440\/(-1408))\/(1\/2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 11, 29, 53, 83?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/47880 and 153\/29260?\nAnswer: 526680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4105261128?\nAnswer: 2, 3, 9803, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + 0 - (-121 + 116)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 337595250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 20. Is 9 a factor of 0 - -2*18\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1231, -1235, -1239, -1243?\n\"Answer: -4*y - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13856439 a multiple of 1936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*162\/198.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*o**2\/9 - 466*o\/3 - 640\/9.\nAnswer: 2*(o - 64)*(11*o + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -865899232 >= -865899231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 47 - 270*k**3.\nAnswer: -270*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z, 10*x - 110 = 5*x + 5*z. Suppose 23 + x = 6*n. Suppose -n = -4*p + 1. Solve j = 3*i + 11, 0 = -2*i - j - j - p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d - 2*d - 5*d)*(-2*d**3 + 1 + 0*d**3 + 8) + 0*d - 2*d**4 + 0*d in the form t*d**2 + h*d + w*d**4 + k + s*d**3 and give h.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 10\/283067 (c) 0.4 (d) -4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -454 (b) -55 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/40 - 41\/520. Which is the closest to -7? (a) 1\/4 (b) -3 (c) g (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 107. Solve 4*x - 5 = -b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 - 59 + 60 + 22*i + 197 + 9*i - 5*i. What are the prime factors of r(-7)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 0*j**3 + 4 - 3*j + 3*j**2 - j**3. Let m be (-18 - -27)\/((-2)\/182). Let s = 816 + m. Determine t(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3192 is divided by 3108.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l - 25*l = 350. Suppose -23*j - l = -33*j. Solve 0 = j*m - 11 - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(1\/52))**(-2\/3) assuming b is positive.\nAnswer: b**(-1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**2 - 45*n\/2 + 69.\nAnswer: -3*(n - 2)*(4*n + 23)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + sqrt(931))*1)**2.\nAnswer: -4660 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3\/3 - 3*v**2\/2 - 6*v - 3. Let k be s(-6). Let w be (k\/(-15))\/(4\/10). Solve 2*o - w + 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + 1300 + -1275.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from enereseelllsne.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15554.\nAnswer: 2, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*r + 8*r + 19, -n + 14 = -4*r. Let s be 1755\/(-850) + n\/(-20). Which is smaller: s or -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -14. Suppose l*f - 8 = 4*f. Let i be (1 - 3)\/(4\/(-30)). Solve -f*j = -j + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*y**2 - 2635956*y + 7148419788.\nAnswer: 3*(9*y - 48814)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 405.1 + -534.65. Round y to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 102, 331, 706, 1227?\n\"Answer: 73*m**2 + 10*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + 272*g**2 + 540*g + 449. Calculate d(-134).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3683 times -1.3\nAnswer: 4787.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 8*k. Give r(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1 - 1. Suppose 0 = 2*s - y - 7, -s = -6*s + 4*y + 19. Let r(g) = s*g - 5*g - g. Determine r(c(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 903, 1935, 2967, 3999, 5031, 6063?\nAnswer: 7095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 8:52 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z**2 + 0*z - 7\/6*z**4 + 49\/30*z**5 - 3 + 2\/9*z**3. Factor k(j).\nAnswer: j**2*(7*j - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.5 + -6.5. Let o = g + 44.964. Let n = 1 - o. What is n rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -931927, -932409, -932891, -933373, -933855?\n\"Answer: -482*n - 931445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**3 + 3*y**2 + 5*y + 2. Suppose 3*j + 6 = -v, 4*j - 9*j + 23 = -2*v. Let u(i) = -i**3 + i**2. What is j*p(z) - 4*u(z)?\nAnswer: -z**3 - z**2 + 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - y - 25 = 4*y, -9 = -3*h + y. Suppose 5*a + 70 = 5*j, -h*j + a + 23 = -0*a. Let r(s) = 1 + j*s**3 - s**2 - s - 3*s**3 + s**3. Determine r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*t)*(0 - 3 + 1) - 4*t + 2*t + 3*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202 + -12200101?\nAnswer: -12132233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120486 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -94270*y - 1351. Is p(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 9*b + 4. Let n be (832\/24)\/(-8) + 2\/6. What is u(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11.8. Let g = j - 0.5. Let p = 0.3 - g. Is p >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149962575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + (5 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(126) + -1*sqrt(126))*5)\/(sqrt(112)*1 - sqrt(112) - sqrt(112)))\/(-6*((-3*sqrt(864)*1 - sqrt(864) - sqrt(864) - sqrt(864)) + sqrt(864))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1674, -3347, -5020, -6693?\n\"Answer: -1673*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23036 - 361 = 5*k + 3*z, 4*k = -3*z + 18140. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**7)\/(h*h**1))**(-17)\/((h*h**(-1))**46*(h*((h**(-1)*h)\/h)\/h)**(-7\/6)) assuming h is positive.\nAnswer: h**(809\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -687.9252 + 687. Round j to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1975, 1, 149, -2\/5, -3, -5.\nAnswer: -5, -3, -2\/5, 1, 149, 1975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z + 55. Let m be f(-10). Find the common denominator of -31\/18 and (m\/6)\/((-8)\/180).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 11. Let q be m(-18). Let o(p) = p + 10. Let h(c) = 3. Calculate q*h(g) + 2*o(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*j**2*z**2 + 273621*j**2 - 9574*z**3 - 1 wrt z?\nAnswer: 88*j**2*z - 28722*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u*u**(-21))\/u))**(-4) assuming u is positive.\nAnswer: u**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*z - m, 95*m - 93 = -2*z + 90*m. Let a(l) be the first derivative of 17\/2*l**2 + 48*l - z. Differentiate a(h) wrt h.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1720*a**3*o**5 - 149*a**3*o**3 + a**3*o + 194*a**3 + 44*a**2*o - 1 wrt o.\nAnswer: 34400*a**3*o**3 - 894*a**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 7. Let c be p(-9). Let x(k) = -k**3 + 2*k**2 - k. Suppose -52*v - 53*v + 4172 - 1022 = 0. What is the lowest common multiple of v and x(c)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(((l*l**28)\/l)\/l)))**(-45)*l**(-15)\/((l**27\/l*l)\/l) assuming l is positive.\nAnswer: l**(-1256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -665.2 - 9.\nAnswer: -674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 10 = 0. Suppose 0 = -d + 20 + v. Let w be (-6)\/4 + d\/4. Solve -9*g + 15 = -w*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-2))\/(-2) + 2. Let i be 0\/3 - (-3)\/12. Sort z, i, -1 in ascending order.\nAnswer: -1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -5, -12, -16, -1 in decreasing order.\nAnswer: 13, 5, -1, -5, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -243?\nAnswer: 5346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54.8, 24, -2\/443 in descending order.\nAnswer: 54.8, 24, -2\/443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.906 + 38. Let d = j + -0.094. Which is the closest to -0.1? (a) d (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (281 - 260) + -15 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 4*d - 13. Determine v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1407 + 34123?\nAnswer: 32514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/1892107 or 1?\nAnswer: 10\/1892107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -7.68.\nAnswer: -10.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-11 - -1 - -5) - 11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 3*t - 1. Let j be d(-2). Let l(g) = -23*g + 1. Let w be l(j). Let a = -12 - w. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -47\/4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7 - 16 + 132*p + 15 - 7. Let j be k(2). Let d = j + -110. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) 1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + x**4)*(1881*x + 1324*x + 718*x - 404*x + 778*x).\nAnswer: 4297*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.144 (b) -0.1 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 - 64*x**4 + 3*x**3 + 3*x**2 + 2*x**2 + x + 65*x**4 in the form j*x**4 + g + n*x**3 + f*x**2 + v*x and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(252) + 0.\nAnswer: -3 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0888754 rounded to four decimal places?\nAnswer: 0.0889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p. Suppose 4*w + 4 - 32 = 0. Let v(o) = -61*o + 7 - w + 59*o. Calculate -4*r(m) - 9*v(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/1 + (27 - 203)\/(-22). Which is the nearest to -1? (a) k (b) 103 (c) -1\/4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.3. Let u be (-77)\/(-7) + 1131\/(-117). Which is the nearest to -1? (a) 1 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 + c**2 - c - 2. Let d(v) = 12*v**3 + 2*v**2 - 2*v - 5. Let m(o) = -3*d(o) + 7*x(o). Give m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -79, -7, 0, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-48))**(14\/9)\/(s*(s**(-2)*s)\/s*s\/s**(-1\/5)*s)**(-26\/7) assuming s is positive.\nAnswer: s**(8308\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 15212?\nAnswer: 15212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 270, 230, 152, 24?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 638117 or 638118?\nAnswer: 638118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/210 and 143\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -4498373.\nAnswer: 6\/4498373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23735700 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.09, -1\/2, -0.1, 774?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15130 equal to 15180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0491 + 4.5591. Let k = 3.51 - o. Let s = 5.05 - 0.05. Which is the second biggest value? (a) s (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myy when three letters picked without replacement from {o: 1, y: 4, m: 4, t: 1, u: 4, s: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(304) - (-4 + sqrt(304)*3))**2 - ((sqrt(684) + -4 + sqrt(684))**2 - (sqrt(171))**2*6).\nAnswer: -495 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -h. Suppose 5*v - 24 = -39. Let f be (-6)\/9 + (-4)\/(-6). Which is the smallest value? (a) h (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-11) + 2\/1. Which is the third biggest value? (a) q (b) 2\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 11*a + 7. Let z(x) = 15*x - 7. Let p be z(0). Let m = -5 - -2. Let c(i) = -i**2 + 5*i - 3. Determine m*h(v) + p*c(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 551805\/128 - 4311. Let y = s + 283\/1152. Let p be (-13)\/14 - (-42)\/28. Which is the smallest value? (a) p (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from fyfyiyiyfqyqfyfpfyw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*13060172.\nAnswer: 52240688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -125 + 2127\/17. Let t be 1\/5 - 2\/10. Suppose t = -5*j - 3 - 12. Which is the closest to -2\/7? (a) 0 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.119 - 54.119. Let s = k + -3. Let j = s - -53. What is the biggest value in j, 3\/4, 0.09, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 3*f)*(-2 - 7 + 3) - 2*f + 0*f + 0*f)*(3 - 3 + f).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47433469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + l**2 + 2*l + 1. Let q be r(-1). Let v(k) = 2*k. Let u(y) be the second derivative of 5\/3*y**3 + 0 - y + 0*y**2. Determine q*u(w) - 11*v(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 - 241. Let i = c - -141. Let n = i + -19. What is the nearest to 0.1 in n, -6\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -4, -1165, 0.\nAnswer: -1165, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1\/25, 5, 0.1, 1.8, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:19 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2669.\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 25*i**2 - 19*i - 10. What is the hundreds digit of g(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3950 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/20*55\/(-2). Let z be 6\/24 - (0 - 14\/8). Let y(o) = -2*o - 1. Let i be y(-2). Solve -q = -5*a - h, i*h - 5 = -4*a - z*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 24144*w - 48286. What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54408 and 30324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 5, k: 8}. What is prob of sequence ss?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 604187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-140)*(5 - 1272\/252)?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1655 by -2.\nAnswer: -1655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 3132625?\nAnswer: 28193625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - 6*i**2 + 2*i + 3. Let b(z) = -z - 7. Let j be b(-6). Let m(v) = -v**3 - v + 1. Let l(o) = j*c(o) - 2*m(o). Is l(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 8*g - 3. Let k(t) = t**2 + 5*t - 2. Let s be (-3 - -5)\/((-2)\/8). Determine s*k(q) + 5*j(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74017205 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1476762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 42035.15s?\nAnswer: 42035150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*g + 5*n - 7, -5*n + 20 = 0. Let d = -1 + g. Solve d = -2*v - 1 + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 10071*f + 5016*f + 4*f**2 + 5003*f + f**2.\nAnswer: f**2 - 52*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*23\/(-184))\/((-11)\/(-33))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -605*j**2 - j - 317?\nAnswer: -1210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.3, 1\/4, 191?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -960\nAnswer: 3\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832 + 566 - 2577 - 457 = 132*v for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j**3 + 3*j**2 - 4*j - 2. Let a(f) = f**3 - 2*f - 1. Determine 2*a(i) - l(i).\nAnswer: 13*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-11 - -6) + -23 + 19.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q + 135 = -465. Calculate the greatest common factor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -1002 + 234. Let t = z - -387. Solve b = -t - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + -7 - -6 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 221, 368, 525, 698, 893?\n\"Answer: d**3 - d**2 + 143*d + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-9))\/((-42)\/189). Let r(s) = -3*s**2 + 3*s**2 - 4*s**2 + u*s**2. Let o(f) = -3*f**2. Determine r(o(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**3 - 64*s**2 + 118*s - 422. Calculate h(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 z, and 1 k when four letters picked without replacement from {z: 5, w: 1, o: 5, k: 7, t: 1}?\nAnswer: 175\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 20299.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.4, 39, 3, -0.7 in increasing order.\nAnswer: -0.7, -0.4, 0.5, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/26623 and 58\/237.\nAnswer: 79869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312317337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 18, t: 2}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f, -5*g + 2*g - 2*f + 2830 = 0. Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 26*r + 159. Calculate q(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) + 10\/((-2800)\/23)*-4.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -44, -59, -74, -89?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d - 5*d. Suppose -8*q + d*l = -4*q - 11, -5 = -5*q + 2*l. Let u(n) = -7*n. Calculate u(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*l - 2 = 0, -19 = 94*m - 97*m - l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10339646, -10339647, -10339648, -10339649?\nAnswer: -10339650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -80382930 divided by -3603?\nAnswer: 22310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**5\/((v**5*v*v)\/v))\/(v**(-1))**32)**(16\/5))**(-1\/29) assuming v is positive.\nAnswer: v**(-496\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*c + 7*c + 32, -4*p + 4*c - 4 = 0. Let m(r) = -r**3 - 4*r. Let s(k) = -2*k**3 - 9*k - 1. What is p*s(f) + 9*m(f)?\nAnswer: -f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8219, 32875, 73965, 131489?\n\"Answer: 8217*h**2 + 5*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - 17 - 4 - (1 - (-43 - (-3 + 5)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 51. Let t be d(18). Suppose 2*o = 7*o - 55. Calculate the highest common factor of o and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -l + 22, -16*x = -11*x + 5. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-40))\/f)\/(f*f\/(f*f**(-20\/3))*f))\/(f*f*(f\/((f**5*f)\/f))\/f*(f\/((((f**(1\/11)\/f)\/f*f*f)\/f)\/f))\/f) assuming f is positive.\nAnswer: f**(-1537\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4 - 5*w**3 + 6 - 9 - 2*w + 2*w**2. What is j(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a564 - 300?\nAnswer: -7a864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28581726.\nAnswer: 2, 3, 17, 79, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.14773 minutes in microseconds?\nAnswer: 68863800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -5164282.\nAnswer: 36149974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kultu. What is prob of picking 1 u and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157 + -121. Is 11 a factor of (-484)\/6*6*(-9)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*f + 4*v + 9, -2*f + 9 = v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-2\/11)*j))**(3\/10)*j**(7\/5)*j*j**(-6)\/j*j*j*j*j assuming j is positive.\nAnswer: j**(-93\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9379, -14, -357 in descending order.\nAnswer: -14, -357, -9379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/(-2))\/((528\/(-429))\/16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 39462*v**2 + 0 + 36837*v**2 to j*v + m*v**2 + s and give m.\nAnswer: -2625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -50, -64, -100, -164, -262, -400, -584?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -17*g**2. Let m(w) = w + 6. Let h be m(-4). Let f = -217 + 226. Let x(q) = 17*q**h - f*q**2 - 7*q**2. Calculate x(p(d)).\nAnswer: 289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.1. Let j = 1.1982 + -3.1982. What is the third smallest value in k, -61, j, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(1*(-6)\/(-4)). Let h(x) = c*x + 1 - 27*x + 4*x**2 - 1. Let k(b) = -3*b**2 + 4*b. Let i(q) = 4*h(q) + 5*k(q). Let s(u) = 15*u**2. Determine s(i(w)).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109451456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5948.87, -1\/4, 5, 0.4?\nAnswer: -5948.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.28769ml to litres.\nAnswer: 0.06728769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/7, -387?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 3. Suppose 0 = a + z*c + 19, 2*a + 5*c = -0*a - 18. What are the prime factors of a\/(-2) - (-147)\/14?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -114*x**2 + 127639*x*z**3 - 16202043*z**3 - z wrt x?\nAnswer: -228*x + 127639*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/(-39) + (-6)\/39. Let z be ((-22)\/33)\/(u\/3). Solve k + z = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 898*p - 1795*p + 1116*p to the form f*p + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 442571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 363560627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2510594 is divided by 1034.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 24\/(-252))\/(6\/14)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145778219645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g - 5. Let n be y(-6). Let r = n + -437\/6. What is the smallest value in -0.1, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/154 - (-4)\/(-21)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let y(g) be the first derivative of 21*g**2\/2 - 8. Give c(y(l)).\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 116. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -197, -418, -855, -1580, -2665, -4182, -6203?\nAnswer: -8800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 3*r - 36, -2*r - 63 + 108 = 5*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/55 - 542133\/981640?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50217, 50171, 50043, 49791, 49373, 48747?\nAnswer: 47871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-144)*(-7454)\/11. Let n = 16\/99 - i. Find the common denominator of n and 47\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -44. Suppose 4*p - 2 = a - 5, m*p - 21 = 3*a. Let r be ((9 - 6) + (a - 0))\/(-2). Solve -9 = -5*i - r*t, -2*t - 10 = 3*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*1 + 3\/(-12)*-4. Calculate the highest common factor of 32 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:11 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9423170 divided by -5.\nAnswer: -1884634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*b**3 - 41*b**3 - 26*b**2 - 20*b**3 wrt b.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564198977?\nAnswer: 19, 31, 37, 25889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634016 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.002972205 rounded to 4 decimal places?\nAnswer: -3.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 7*p - 10*p, -4*s + 45 = 3*p. Suppose 4*g - 74 = 18*y - s*y, -g + 13 = 2*y. Suppose -q = 4*x - 38, x = 5*q - 2*x - 75. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -10*t + 12. Let g be (-18)\/(-6)*(t - -49). Calculate the greatest common factor of 17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/44908048 and -35\/4538.\nAnswer: 44908048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h + 1. Suppose 5*k + 200 = 4*a, 0*a - 110 = -2*a + 5*k. Calculate the remainder when a is divided by v(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 6 = 3*f - 5*t, -5*t = -f + 10. Put -96, f, 2 in increasing order.\nAnswer: -96, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1071*w + 63. Let o(y) = -67*y + 4. Calculate -63*o(h) + 4*s(h).\nAnswer: -63*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 2349827636.\nAnswer: 2349827633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21009827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, b: 2, r: 4}. What is prob of sequence rrbb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293, -292, -291?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2. Let r(h) = 9*h + 80. Calculate r(y(j)).\nAnswer: -81*j**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 1:36 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.4 (b) -51\/11 (c) -1\/6 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 647 + -1316. Let p = k - -669. Let c = 27\/2 + -463\/34. What is the nearest to -2\/5 in -1, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029067818 to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + 15*s**3 + 17*s**3.\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126744 is divided by 1142.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 15*m + l + 4*l = 13*l - 49, -m = -l + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 3*(0 + sqrt(1900) + 2 + sqrt(1900) + (sqrt(1900) + 2 + 1 - sqrt(1900))))**2 + -3.\nAnswer: 2280*sqrt(19) + 68763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/481 + 11051\/2886. What is the common denominator of x and -43\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3299 + 171545\/52. Let p(m) = m**3 - 4*m**2 - 5*m + 1. Let r be p(5). Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5454.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 35*r**4\/24 + 5*r**3\/6 - 648*r**2. Let y(z) = -18*z - 3. Give 3*s(c) + 5*y(c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/14 + -2)*2. Let j = 39 + -30. Suppose -16 = -j*c + 11. Sort y, 2, c in ascending order.\nAnswer: y, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1148909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 108, 251, 392, 531, 668?\n\"Answer: -n**2 + 146*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2. Let m = -13 - -28. Let x(c) = -m + 15 + 9*c. Determine n(x(p)).\nAnswer: 162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 + (87360\/(-286))\/(-30). Solve 4*i - h = 2*c, -i + 10 = -0*c - 3*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 3:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 409*z - 1. Let b be r(-1). Let s be b\/(-35) - (-2)\/7. Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493087176 to the power of 1\/3, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 + -1. Let l = -170 + 82. Let m be (-6)\/(-9) + l\/33. Which is the closest to 3? (a) t (b) 2\/21 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 4*p - 24, -3*p - o + 26 = 0. Suppose 0 = 3*i - p*i + 630. Let u = -16 + i. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 23*g**2 + 80*g + 74. Let j be w(-19). Put 0, 4, j, 3, -5 in ascending order.\nAnswer: -5, j, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7759 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 37) + -9 + -9 + 32?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**2 - 2*n**5 - n**5 - n**2 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.196152 years?\nAnswer: 50.353824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/60 and 107\/222310.\nAnswer: 1333860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/90*6)\/(1\/(-3*273\/7))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Suppose 5*h = 2*x + 62, w*h + 3*h - 2*x - 34 = 0. Calculate the smallest common multiple of 8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 44*i + 0)*(-93*i + 15*i**4 + 93*i) + (2*i + 4*i**2 - 2*i)*(-i**3 - 2*i**2 + 2*i**2).\nAnswer: 656*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957*o = 4331*o - 2182 - 82168 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91375 is divided by 22803?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -76.03 from -628.03291.\nAnswer: -552.00291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + -0.29. Let t be (28 - 6250\/225)*(0 - -3). Let d be 8\/45 - (-26)\/(-65). Sort m, t, 4, d in decreasing order.\nAnswer: 4, t, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(5\/13)\/(n**(-2)*n*n)*(n**(1\/3))**(-3\/16) assuming n is positive.\nAnswer: n**(67\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - -3213332?\nAnswer: 3213212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -5, -3, 9.\nAnswer: -6, -5, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2130694, -4261357, -6392006, -8522647, -10653286, -12783929, -14914582, -17045251?\nAnswer: -19175942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22413000 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*f = 854, -7*t = -3*t + 5*f - 1714. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 19*i**3 + 2266*i**2 + 570*i - 2960. Calculate z(-119).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -189 + 2?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5194677 centuries to years.\nAnswer: 51.94677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645113 is divided by 424?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95097, -189825, -284171, -378135, -471717, -564917?\nAnswer: -657735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15538 and 3656?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 112607 and 112684 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**7)\/n*n*n**(-4\/15)\/n*(n**5)**7 assuming n is positive.\nAnswer: n**(416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**2 - 6*f**2 - f**2)*(1 - 1 - 2*f)*(3625 - 489 + 4727) in the form b*f**2 + n + z*f**3 + c*f and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 83 = -3*g, -3557*p + 3*g + 29 = -3554*p + 2*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000010110 + 1001?\nAnswer: 11000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k - 5130 = -11*k. What is the units digit of ((-14)\/3)\/(6\/k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -o + 3*p, 5*o - 54*p + 49*p - 735 = 0. What is the remainder when o is divided by (-2 - -2) + -2 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2658 times 0.2\nAnswer: 0.05316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6074 divided by 3037?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 28, 4, -1, -5 in decreasing order.\nAnswer: 28, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 39. Let p be (-2 + (-15)\/v)*-4. Suppose p*s - 117 = 3*u, 3*s + u + u = 92. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 37146*b + 8610. Let w(d) = -121*d - 28. Let p(h) = 2*v(h) + 615*w(h). Let y(n) = -5*n. What is y(p(q))?\nAnswer: 615*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 599*v - 616*v + 68 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 119\/7)\/(2\/30). Let a = h + -170. Calculate the lowest common multiple of 3 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212.83 decades in millennia?\nAnswer: 22.1283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) 0.2 (c) 0.28 (d) 5 (e) -1.326\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 382, 3\/8, 0, 0.3 in decreasing order.\nAnswer: 382, 3\/8, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6984 = -4*c. Suppose n = -3*o - 2029, -5*n - 13*o - 10119 = -11*o. Let r = c + n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 2*u - 36, 2*u - 9*u - 9 = -4*u for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 h when four letters picked without replacement from {h: 3, k: 3, r: 5}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + -1 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 114, 23, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213 + 2*c**2 - 4*c**2 + 221 + 438*c - 439*c + 1401.\nAnswer: -2*c**2 - c + 1409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 + ((-2)\/(-4))\/(30\/180) and 649.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/13161974 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93113\/8874 + 32\/4437. Determine t so that 3\/2*t**4 + g*t + 27\/2*t**2 + 15\/2*t**3 + 3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13599092 is divided by 11663.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*j + 1, 105*j = -2*i + 108*j - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 5, t: 4}. Give prob of picking 1 t and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325, 336, 353, 376?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 2, k: 4, v: 2}. Give prob of sequence vk.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17025132 + 6?\nAnswer: -17025126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10028 and 224.\nAnswer: 561568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 + 25 = 0. Let u(k) = -9*k - 9. Let j be u(-15). What is the highest common divisor of b and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 7*v - 2*v)*(-2 - 1 + 1)*(-9 + 7 - 6).\nAnswer: 144*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 40a49 (base 12) in base 2?\nAnswer: 10100100111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10665729497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Let a = -110 + 122. Let g be a\/90*(17\/(-4) + 3). What is the closest to -1 in h, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4959 and 62901?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-9)*4\/(2\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -126.23, 0.3, 8, 4 in decreasing order.\nAnswer: 8, 4, 2, 0.3, -1, -126.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.06 (c) 0.4 (d) -2\/901 (e) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227770874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*((-1*sqrt(147) + 5 + -4)*5*-1)**2.\nAnswer: -7398 + 700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1725 or -1724?\nAnswer: -1724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -3 - (2 + sqrt(147))**2.\nAnswer: -154 - 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -66, 0.38, 0.3, 2\/13, -6 in descending order.\nAnswer: 0.4, 0.38, 0.3, 2\/13, -6, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + u**3 - u**3)*(-2*u + 4*u + 4*u**2 - 3*u).\nAnswer: -12*u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1012353 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67341 or 67343?\nAnswer: 67341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 3864?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*k + 14. Suppose -8*v - 15 = -k*v, 0 = 3*d + 5*v. Suppose 0 = 3*r - 2*a - 40, 0 = -r - 3*r - d*a + 38. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.47 times -0.101\nAnswer: -0.24947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**18*l**(5\/8)\/l*l)\/(l**3*l)**(2\/67) assuming l is positive.\nAnswer: l**(10455\/536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -7\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1 - 2*d + 6*d - 1. Let c be v(-2). Let p = -4 - c. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + -1*(sqrt(80) + -2*sqrt(80))))**2.\nAnswer: -64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108443 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 15. Let l be (0 - -1)*10\/5. Sort 3, q, -4, l.\nAnswer: -4, l, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:06 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 45. What is the least common multiple of 14 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-12)*-10 - (-1)\/3. Find the second derivative of -166*p**4 + 356*p**4 - q*p - 169*p**4 wrt p.\nAnswer: 252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -3 - 2) + (-33 - -20) + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rumunruuurr. Give prob of sequence mr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6372*i**4 + 333*i + 6.\nAnswer: -76464*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 - 3*d - 64*d**4 + 0 + 0*d + 2*d - 3 to w + h*d + m*d**2 + o*d**3 + v*d**4 and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 - 130*o + 524. What is l(21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let z(d) = 1432836*d**2. Calculate f(z(u)).\nAnswer: 2865672*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40681?\nAnswer: 17, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1807938805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 5. Let u be q(2). What is the remainder when 122 is divided by (-286)\/(-11) + u\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2408330 is divided by 2667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - c - 8, -4*b + 0*b - 4*c = 8. Suppose -b*n - 9 = -5*n. Suppose n*r + 4*x - 37 = 0, -r - 13 = -4*x - 4. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 531.\nAnswer: 6903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 21\/(-36)*15*-88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -4*i**5\/5 + 13*i**3\/6 - 17*i. What is the second derivative of q(d) wrt d?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23922469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 124835749 at most 124835750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 + 1))*(-3*9 - (-774 + 756))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100335*l**3 - 1847*l**2 + 34*l wrt l.\nAnswer: -602010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*c**3 + 182*c**3 + 179*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2) + (2 + sqrt(2) + (sqrt(4)\/sqrt(2) - sqrt(2)))**2 - (1*sqrt(22))\/sqrt(11)).\nAnswer: 4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptaavtnavv. Give prob of picking 1 p and 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q + 1518 = 2*l, -765 = -2*q - 3*l. Let r = q - 75. What are the prime factors of r?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5\/7 - 596*z**4\/7 + 3720*z**3\/7 = 0.\nAnswer: -155, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**3 - 3*r**2 - 3*r + 1. Calculate q(-2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/6259, -9, -4, 4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 82*r - 1227 + 8720 = 0 for r.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 5. Let z be l(5). Let c(m) = 1 + m**3 - 5*m + z*m**2 + 8*m + 2*m**2 + 2*m**2. What is c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 2594*b**2 - 41 + 81 - 935*b**2)*(-2*b**3 + 3*b**3 + 0*b**3).\nAnswer: -3529*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7056478 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f + 5 = 4*a, 1 = a - f. Suppose a = -2*t - 20 + 16. Is (-2)\/(-20)*t - (-2088)\/15 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1230*f - 1221*f - 18936 = 0. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 2932 = -19295 - 3761. Calculate the greatest common divisor of p and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31306.07 + -31306. Let a = -9 - -5. What is the second biggest value in 15, a, 1\/8, z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}