diff --git "a/data/dm_maths/full_data/2234_11255.jsonl" "b/data/dm_maths/full_data/2234_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2234_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -4298296+8.9\nAnswer: -4298287.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3645 in -2.7, -2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - v - v)*(2 - 5 + 2)*(-8 + 2*v + 6 + 3) as h*v**2 + y*v + s and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32874.9999983549 - -32875. Round n to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4704\/(-80)*1775\/2130?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/1002)\/7)\/(-28*60\/(-6720))?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 441 + -127. Let w = 471 - r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 17. Let q = -11 - s. Put -3, q, -4 in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/34944 and -117\/40?\nAnswer: 174720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462 = -2119*n - 2462*n - 51853 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*f = -299*f + 2*j - 38, -f + 4*j = 72 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4*66\/(7 - 1))\/((-4)\/382) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 11:33 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 39, 65, 89, 111?\n\"Answer: -b**2 + 31*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 + 4*h + 4. Let d(z) = 5*z - 5*z + 3*z + 8*z**2 + 2*z + 5. Let x(n) = 4*d(n) - 5*f(n). Let m(b) = 3*b. What is x(m(u))?\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c + 3, -3*i + 4 = -2*c. Solve -i*a + 3 = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3688 by 8.\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12861 + -12861. What is the nearest to 1 in z, -0.2, -0.02, -26?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -11. Suppose v*d - 2*f + 70 = 2*d, d - 35 = 4*f. Let t = -15 + d. Solve 5*z = z + t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -13361354.\nAnswer: 13361353.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3) + -4*308\/(-24). Suppose o + 166 = 2*b. Calculate the remainder when b is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**4 - 5*l**4 + 0*l**4)*((0 + l + 0)*(2 - 7 + 3) + 15841*l + 91 - 74 - 15846*l).\nAnswer: 7*l**5 - 17*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmf when four letters picked without replacement from wmmfffmfffffmf?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/7 - 3304*s**3 - 324098*s**2\/7 - 995648*s\/7 - 99240 = 0.\nAnswer: -10, -3, -1, 11578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1540 = -2*z - 776. Let l be 1 - z - 5\/(-5). Round l to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 778392567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322 + 325. Solve 2*b = u*b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -606, -1222, -2084?\nAnswer: -3192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 10*a - 2. Let s be v(-9). Let b be s\/(-60) + 6\/(-45). Let x(u) = 146*u - 8. Let o be x(b). Round o to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7aa + -59?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -2\/11, -1, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 36. Let w(z) = -2*z**2 + 1737180*z. What is r(w(v))?\nAnswer: -2*v**2 + 1737180*v - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1634738419469 + -68368030169771477\/41822. Let b = -1152\/1901 - t. Let q = -222 - b. Calculate the common denominator of q and -101\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(200) + ((sqrt(200) + 1 + sqrt(200))*-1 - sqrt(200)) - (1 + 1 + sqrt(200) - sqrt(200))))**2.\nAnswer: 240*sqrt(2) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + u**2 + 1 + 3*u - 3*u)*(17 + 24 + 15) as v + s*u**2 + q*u and give v.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -304738, -614392, -924046, -1233700?\n\"Answer: -309654*j + 4916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lill when four letters picked without replacement from {i: 6, l: 4, u: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -479120873 and 43.4.\nAnswer: -479120829.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2083253 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113 and 4633.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13875159 and 956.\nAnswer: 13876115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/484 and 13\/5896.\nAnswer: 64856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/20 + 6\/5. Suppose -2*y + 1 = -i. Let q = 1.54 + -0.54. What is the nearest to q in -2\/13, y, 1\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(15\/(-42)))\/(((-9)\/(-6))\/(-3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -24 - -4) + (-66 - -70)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -7*z + 2*z. Let d be (1\/3)\/(11\/165). Suppose d*x + 15 = 0, -4*f + 48 = 3*x + x. Calculate the greatest common factor of z and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 92*q**2 - 96*q - 452. Determine s(-91).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 15*q = 30*q - 1176. What is the greatest common divisor of q and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -2 - sqrt(304) - sqrt(304)) + sqrt(304))**2 + sqrt(684) + 2.\nAnswer: 6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 10*j**2 + 6. Let i be x(-10). Solve -i - 9 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 359*c**3 + 32*c*n**2 - 12034*n**2 with respect to c.\nAnswer: 1077*c**2 + 32*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*s**5 + 27*s**5 - 36*s**5 + (-s + 0*s + 3*s)*(s**4 - 4*s**4 + 5*s**4).\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/11 + 4816*i**3\/11 + 43526*i**2\/11 - 48340*i\/11 = 0. What is i?\nAnswer: -10, 0, 1, 2417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 30337 - 30427 - 3*r.\nAnswer: 2*r - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 - 40640406?\nAnswer: -40640502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 - 1 = -2*z, 4*z + 2 = -2*l. Suppose -l*y = 4*x - 3 + 2, 5*x + 6 = y. Put 5, x, 0 in decreasing order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 102.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - (-3 + (-55 - -22)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-26 + 9 - -8)) + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106322461 by -6.\nAnswer: 106322461\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-4)\/(-8)*149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000184356974 rounded to 7 dps?\nAnswer: -0.0001844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/62 - -133\/186. Let k = -194\/671 - -577747\/4697. Let m = k - 123. What is the nearest to -1 in q, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -5 (b) -6 (c) 47 (d) -1\/3 (e) -0.1 (f) 5 (g) 0.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*y = 7, -2*a + 2 = 3*y - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 9*d**2 - 12*d + 7. Calculate c(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + 72\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -70, -85, -116, -169, -250, -365, -520?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15768104 to the nearest integer?\nAnswer: 3971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15804900 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 75, 126, 195, 288, 411, 570, 771?\n\"Answer: z**3 + 32*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -314 - -398.3. Let m = a + -86. Let s = m - 0.3. Sort -0.5, -2\/15, 1\/17, s in ascending order.\nAnswer: s, -0.5, -2\/15, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25639 + 25640. Which is the smallest value? (a) -4\/7 (b) -238 (c) -1\/2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99600+0.0533\nAnswer: 99600.0533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + (-76)\/(-6). Let j be ((-1)\/18)\/((-3)\/v). Let n = j - -1\/9. Which is the third biggest value? (a) n (b) 0.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55822721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -31804315 divided by 34235\nAnswer: -929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 564335578 at least as big as 564335578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 - 1195*p**2 + 600*p**2 - 57*p - 36 + 14*p**3 + 631*p**2 = 0.\nAnswer: -4, -1\/2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280505 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377, 1061, 2209, 3833, 5945, 8557, 11681?\nAnswer: 15329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35 (b) -2\/7 (c) -7 (d) -2\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s*v**4 + 18*s*v - s - 180*v**4 wrt v?\nAnswer: -12*s*v**2 - 2160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1 + 2*d**2 + 1. Let o(j) be the third derivative of -64*j**2 + 0*j**3 - 1\/3*j**4 + 0 + 0*j. What is k(o(y))?\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 6:31 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -316094 + 34.\nAnswer: -316060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3673 is divided by 245?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4164 times -3\nAnswer: -12492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 208 = 0. Suppose i = m + 8. What is m rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 1\/20*b**4 + 0 - 5*b - 1\/5*b**3 + 3\/10*b**2. What is p in c(p) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*h + 100*h = 270. Let v = 64 - 55. What is the remainder when h is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -159197?\nAnswer: -159202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r**2 - 10*r**2 - 10*r**4)*(-108 - 70 - 671).\nAnswer: 8490*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -3*o**4\/2 - 4*o**2 - 8*o - 1. Let i(h) = -2*h**3 - 3*h - 3. Let x be (-1 - 4\/(-7))*7. Determine x*f(u) + 8*i(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 2. Let v(z) = -z**3 - 4*z**2 + 4*z + 6. Let g be v(-5). Let u = -22 - -20. Let i(d) = -4*d - 11. Give g*s(q) + u*i(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = y - 2*y - 7, 2 = 2*z - 2*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + v = j + 59, -v - 25 = -2*j. Suppose -5*t + 0*t - 18 = 2*f, -t = 3*f + j. Let d be 4\/6 - (-1)\/3. Sort d, 0, t in decreasing order.\nAnswer: d, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 g when four letters picked without replacement from eeedgmmmeegemgme.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.25124m in nanometers?\nAnswer: 13251240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 46 = 1214. What is the third derivative of b*t**2 - 148*t**3 + 4*t**2 + 28*t**2 wrt t?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 1009*k + 9348 = -221*k - 320*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 102\/119*((-4)\/(-6))\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*p + 96*p + 2*v + 9, 0 = p - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 192 + 6*l + 10*l - 21*l. Let f be r(0). Calculate the greatest common divisor of f and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0*f**4 + 0 - 3*f - 23\/42*f**7 + 0*f**2 + 0*f**5 + 10\/3*f**3 + 0*f**6. Find the second derivative of l(t) wrt t.\nAnswer: -460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.71356 - 974.9964?\nAnswer: -425.28284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65432863390127 + 7.\nAnswer: -65432863390120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.4, -1, -0.5, -22\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -12)*(-5)\/(-15)*-3. Solve -36 = m*b + 12*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30723140 divided by 15361570.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -6\/25, 4, 63029?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6630\/(-18) - (-1)\/(3\/(-9)). Let r = l + 3373\/9. What is the common denominator of r and (-2)\/2 - (-29)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(1\/(-4))\/(9\/36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1 + 1 - 4*p - 4*p. Let a be (6\/9)\/(8\/(-12)). Calculate q(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 264*g + 765 = 0. Calculate g.\nAnswer: 3, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62388348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/16 and 101\/98?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -133, -186, -73, 290, 987, 2102, 3719?\n\"Answer: 14*g**3 - g**2 - 148*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000087322 rounded to seven dps?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.899 - 27254.\nAnswer: -27248.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.1 - 8.365. Let z = m + 0.43. Let c = 0.23 - z. Round c to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/1157656 and -59\/740.\nAnswer: 5788280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373480?\nAnswer: 2, 5, 34337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00089342922 to 7 decimal places.\nAnswer: -0.0008934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 12*l**2 - 4*l + 27. Suppose -24 = 483*u - 487*u. Let z be p(u). Solve 4*t + z = 4*c + 11, 0 = c + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4977)\/17696)\/(12\/64)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*s - 124 = 0, 3*w + 0*s - 3*s = 84. Let q = w - 1143\/38. Which is the fourth biggest value? (a) -0.4 (b) -4 (c) -2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*w - 20, -3*w - 1 = -2*g + 7. Solve w*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(sqrt(7) - sqrt(35)\/sqrt(5)) + 2)*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x, 2*x = -2*o - 0*x + 468. Let d = -2304 - -4038. Let l = d - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, k: 7}. Give prob of sequence kdk.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120189.\nAnswer: 17, 124717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 7 - 4)\/(1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 524 * -189\nAnswer: -99036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 10. Suppose -1 = d + s. What is d rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 2*z**2 - z. Let m(x) = -9*x**3 - 8*x**2 + 59*x - 48. Let t(q) = -4*a(q) + 2*m(q). Suppose t(o) = 0. What is o?\nAnswer: -16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 3209088.\nAnswer: 1283635.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(-1*sqrt(4)))\/(sqrt(8)\/(sqrt(2) - sqrt(2)*-3)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*f**2 + 7*f**2 + 43*f**2 to the form y*f**2 + w*f + r and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8730036 and 115248?\nAnswer: 34920144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 11, 3, 105, -4 in ascending order.\nAnswer: -5, -4, -3, -1, 3, 11, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiie when four letters picked without replacement from zeeezeiqiiee?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 4*b - s, 0 = -2*b - b + 2*s + 280. Suppose -f + b = 4*f. Solve 2*x = -5*h - 10, -f = -x - x + 2*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -171, -8, -3, 4\/179?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 752 in -44, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1573 + -130666899.\nAnswer: -130668472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2112?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*f**3 + 0 + 1\/2*f**4 + 2888*f**2 + 0*f.\nAnswer: f**2*(f - 76)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/4 - 7*w**3\/3 - 46*w**2. Let j = -401 - -395. Let q(a) = -2*a - 5. Give j*u(y) + 17*q(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578649611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*n + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 206773 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/19 + 2174*v**2\/19 + 1620*v + 52848\/19 = 0. Calculate v.\nAnswer: -12, -2, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -725619, -725627, -725635, -725643, -725651, -725659?\n\"Answer: -8*t - 725611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(((2 + sqrt(30)\/(sqrt(36)\/sqrt(6)) + 2)*-2)**2 + -4).\nAnswer: 384*sqrt(5) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.3492 - 8.32. Round z to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s - 3*b = -55*s + 741, 2*b = -2*s + 736. What is the remainder when s is divided by 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/14)\/((-170)\/(-119))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 3*b**2 + 5*b - 4. Let y be t(3). Which is bigger: y or 8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19*h + 22. Calculate z(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*s + 2 - 17*s**2 - 4 - 4*s**2 + 20*s**2 to b*s + p + q*s**2 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u = -9. Sort 2, 1, u, 0 in decreasing order.\nAnswer: u, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -277\/5 - -5807\/105. Let n = -1165.5 + 1165. Which is the nearest to -5? (a) 0.4 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7157.664 millilitres?\nAnswer: 7.157664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-8 - (-6 + 1)) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w*w**(3\/5)*w)\/w)\/w)**(24\/13))**(20\/3))**(3\/35) assuming w is positive.\nAnswer: w**(288\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/288)\/(1\/75)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -2969806.\nAnswer: -5\/1484903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1526)\/(-436) + 10\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 18*a**2 - 39*a + 108. Calculate k(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 2 a when four letters picked without replacement from {a: 1, y: 1, w: 3, l: 4, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(14)*-2*4)\/(3*sqrt(96)\/sqrt(3)) + 3)*2.\nAnswer: 6 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*m - 24, 4*b - 12 = m - 2*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 863084 to the power of 1\/2, to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 41 - ((-62 - -132) + -20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42472200 rounded to the nearest one hundred thousand?\nAnswer: -42500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57481.3 and 6.\nAnswer: 344887.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000329279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 times -640?\nAnswer: 300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 34. Let j be m(7). Let y be -2 + (-3)\/2 - j\/(-4). Let d(w) = w**2 + 5*w + 4. Calculate d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 1)*(10*q + 5*q + 11*q)*((2 + 3 - 3)*(-4 + 0 + 2) - 4 + 1 + 5) to c*q + a and give c.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 4:00 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -376770603 minus 37?\nAnswer: -376770640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031584 rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Sort -1, s, -3 in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 170650, 170646, 170642, 170638, 170634?\n\"Answer: -4*a + 170654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1440 = 5*v - 2*p, 5*p = -5*v - 0*p + 1405. Calculate the remainder when v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, y: 2, w: 5}. Give prob of picking 2 n and 1 w.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972)*-1)\/sqrt(9))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35193*o + 45 = -35184*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -147*j**2 + j + 2059. Let u(i) = i. Determine t(u(p)).\nAnswer: -147*p**2 + p + 2059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*(f**(-2\/11)*f)\/f*f)\/f)\/f)**(-25)\/(f**2*(f**(-3\/2)*f)\/f))**(-2\/7) assuming f is positive.\nAnswer: f**(461\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 2, s: 3, y: 3, z: 1}. What is prob of sequence jjzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320.161ug in tonnes?\nAnswer: 0.000000004320161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 151*n**2 - 391*n + 9343. What is z(-154)?\nAnswer: -1591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.46 times -6.122\nAnswer: -2.81612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -0.1 (c) -2\/9 (d) 950\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*k - 110*k + 15 = 0. Sort k, 1\/3, 3.\nAnswer: k, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-3)\/30*12\/(-32)*-8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 7*b**2 + 4. Let a(g) be the second derivative of g**5\/10 - 13*g**4\/12 + 7*g**2\/2 + 20*g - 2. What is 4*a(y) - 7*k(y)?\nAnswer: y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 62. Solve 0 = 2*j - t*j - 5*l + 35, 2*l - 31 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5799, -11660, -17535, -23424, -29327?\n\"Answer: -7*d**2 - 5840*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*w + 2\/11*w**2 - 1\/11*w**3 + 0.\nAnswer: -w*(w - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 12*b - 3. Let o be g(-11). Suppose 0*r - 8 = -o*r. Calculate the least common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 1*sqrt(153)*3 + sqrt(153) + 4*sqrt(153)*1)\/((5*(sqrt(441)*-2 - sqrt(441)) - sqrt(441) - sqrt(441)) + -1*(sqrt(441) + sqrt(441)*-2)).\nAnswer: -9*sqrt(17)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 228349146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -29, -33?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32675473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 60 = -3*y. Let k(j) = -j**3 + 6*j**2 + 6*j + 5. Let i be k(7). Let c be 14 + i*(-1 + 2). Calculate the highest common divisor of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*f - 3*z - 2 = 46*f, 0 = z - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 60*z**2 - 5*z + 769. Let a(t) = -29*t**2 + 2*t - 383. Let g(w) = 5*a(w) + 2*h(w). What is the derivative of g(b) wrt b?\nAnswer: -50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 10, -q + 11 = 4*o - 11. Let z be ((-198)\/(-9))\/((-2)\/2). Let w be 2*(8\/z)\/(-4). Sort 2\/7, o, w.\nAnswer: w, 2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:52 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3573 - -3576. Solve -f - 2*l = 6, -3*f + 4*f + j*l + 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 13 = -16*p. What is the closest to 1 in -1\/2, -3\/4, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -171, 7, 155 in increasing order.\nAnswer: -171, -5, 0, 7, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z - 1. Let d(q) = 3*q**2 + 9*q + 4. Let h(a) = -d(a) + 4*j(a). Suppose 6*o - 28 = 8. Let b be h(o). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(168))\/sqrt(7))\/((sqrt(40)*-1)\/sqrt(5)) + ((sqrt(192) - sqrt(192)*-2*3)*-4)**2.\nAnswer: sqrt(3) + 150528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + (sqrt(1377)*1 + -4 + -1)*2 + -5)**2.\nAnswer: -792*sqrt(17) + 11258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/44 - (-32)\/(-11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 3*z**2 - 42*z. Let f(t) = 8*t**3 - 17*t**2 + 180*t + 4. Let r(x) = f(x) + 4*l(x). Determine r(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -584*u - 2. Let w(p) = 2*p - 1. Determine -o(m) + 3*w(m).\nAnswer: 590*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*a - 3, 0 = 3*r - r - 5*a - 19. Suppose 17 - 3 = r*o. Calculate the highest common factor of o and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 8. Let v(b) = b + 72. Let c(x) = 18. Let k be 1 + 2 + (-10)\/10. Let t(s) = k*v(s) - 9*c(s). Let u be t(5). Give h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = f - 2*g - 34, 0 = -2*f - 2*g + 92. Suppose 2*z + 10 = f. What is the lowest common multiple of 22 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 15 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -374, -3\/7, -127\/4 in decreasing order.\nAnswer: -0.3, -3\/7, -127\/4, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - (-15 - (-36 + 13 + -2 + 13)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 126\/12 + 2\/(-4). Suppose j - q = -5. Solve 0 = -2*h + j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, b: 3, n: 1, m: 7}. What is prob of picking 1 m and 1 n?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01084351029 to four dps.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 572623 (base 15) to base 6.\nAnswer: 225052223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570219 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231681 divided by -2.\nAnswer: -231681\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s - 27. Suppose -1 = -2*u + s, 4*r = -4*u + 148. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 15\/12 + (-798)\/56. Let t be 4\/r + (-40)\/(-70). Let s be (-3)\/(-3) + 21\/(-15). Which is the nearest to -0.2? (a) 2\/3 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28774837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 96336.6 millennia?\nAnswer: 9633660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-102)\/68 + 3\/2. Suppose -6*z + 14*z - 11176 = t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*(22 - 25)*9\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002955281 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(432) + 2 + -4.\nAnswer: -5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 467, 697, 943, 1211, 1507, 1837?\nAnswer: 2207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 20. Let r be p(-20). Is r < -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -43. Is 287 - (k - 13\/3)*-9 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o + 76 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + k - 9 = 0, w = -w - 2*k. Suppose 5*r = w*g + 28, 0*g + 3*g = 3*r - 18. Let a = -1092 - -1098. Which is greater: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 31 + 5. Suppose -10*m + k*m = -27. Calculate the remainder when 53 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15390d (base 15) in base 4?\nAnswer: -3322022113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d, -3*y - d + 13084 = -41423. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17325535?\nAnswer: 5, 3465107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -3, -136961, -4 in increasing order.\nAnswer: -136961, -4, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945394 divided by 43.\nAnswer: -945394\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 176, -346, -884, -1444, -2032?\n\"Answer: -i**3 - 2*i**2 - 509*i + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i**2 - 9*i + 9. Let j(y) = 7*y**2 + 4*y - 4. Determine 6*h(n) + 13*j(n).\nAnswer: n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 259*m*t**4 + 2*m*t**3 + m*t + 38*m + t wrt t.\nAnswer: 3108*m*t**2 + 12*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 30408480*k + 46233782795520.\nAnswer: 5*(k + 3040848)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4205 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 18 = 2. Suppose -l*m + 0*m + 88 = 0. Suppose -3*b = -2*h - 34 - m, -4*b - 5*h = -90. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -54*x**2 + 133*x - 29. What is m(5)?\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -35*o**2 - 6*o + 7. Let g(a) = 35*a**2 + 5*a - 6. Let c(f) = 6*b(f) + 7*g(f). Is c(-2) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*p - 574 = 0, 5*k = -4*p + 2335 + 332. Solve a = -k + 532 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 6 (b) 1\/2 (c) -8\/23 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uti. What is prob of sequence tu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-55)*((-4)\/(-4))\/(12\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-3) - (-3)\/9. Let l be (-3)\/(-5)*n\/(-8). Let v = -2.5 + -1.5. Which is the second smallest value? (a) v (b) l (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405308 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h + 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1423 greater than -1423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 927 divide 4506147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128250.2 + -127419.187. Let c = o - 785.01. Let a = c - 46. Round a to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 83 = h + 2*z, -368 = -4*h + z. Let d(u) = -2*u**3 + 2*u**2 - u + 5. Let i be d(-3). Let o = -57 + i. What is the remainder when h is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 + 0*g**4 - 3*g**4 + (0 - g**2 + 0)*(-g**2 + 2*g**2 - 3*g**2) + 113 - 113 + 146*g**4 to the form y*g**4 + t + n*g**3 + z*g**2 + k*g and give y.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 6. Calculate y(13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275 + -239. Suppose -z*b + 6 + 66 = 0. Solve -g = -2, i - 3*i + b*g = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, l: 4}. Give prob of picking 1 l and 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10506 (base 8) to base 4\nAnswer: -1011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 730?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-362 + 360 - (-13 - (1 + 0))) + -24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/7 + (-40)\/16 + 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (8 + -2 + -16)) + 7 + -9 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r. Let s be q(2). Let z(u) = u**2 - 9*u + 6. Let y be z(s). Solve 3*h = -2*b + y + 5, 15 = 5*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-21)\/(-54))\/((-340)\/(-714)) and -25\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 80498248, 160996518, 241494802, 321993106, 402491436, 482989798, 563488198, 643986642?\n\"Answer: p**3 + p**2 + 80498260*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-16))\/i)\/(i**(-4)*i) assuming i is positive.\nAnswer: i**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let s(y) be the second derivative of -y**6\/720 + y**4\/4 + y. Let q(o) be the third derivative of s(o). Give u(q(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/82 - 85\/246. Sort 1, -5, -0.4, b.\nAnswer: -5, -0.4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = -0*g. Suppose g*j - 2*w - 13 = -1, 4*j = 4*w + 20. Suppose 2*x - 12 = -x. Solve -2*b - 1 = -2*q + 13, -10 = -j*b - x*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 6*a**3 - 23\/16*a**4 - 1\/40*a**5 + 0 + 0*a - 63*a**2. Factor n(r).\nAnswer: -3*(r - 1)*(r + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 47*y - 1124. What is the least common multiple of 96 and g(56)?\nAnswer: 36192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2 - 18. Let x(d) = 9*d + 10. Let b(c) = -7*c - 8. Let z(v) = -6*b(v) - 5*x(v). Let r(g) = g. Calculate m*r(q) + z(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5 - 12*j**4 + 50*j**3 - 88*j**2 + 69*j - 20 = 0. Calculate j.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i - 251*i + 0*i - 71*i in the form k + c*i and give c.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = -144. What is the lowest common multiple of p and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247607259 less than -721?\nAnswer: -247607980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 956035 + -956037. Let y(a) = 10*a. Let c be y(1). Suppose -o + 6*o - c = 0. Sort f, -3, o, 0.\nAnswer: -3, f, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 + -132. Let l be (30\/g)\/(2 + 0) + 4. Solve -4*n + l = 3*p, -4*p + 0*p + n + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 156 = -31*i. Put -8, -4, -1, i in increasing order.\nAnswer: -8, -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 187 (b) 5\/3 (c) -0.5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 6*w**2 - 6*w + 6. Let b(q) = 5*q**3 - 17*q**2 - 17*q + 17. Calculate -6*b(s) + 17*v(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*f = 148*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(-33)\/2046*36\/(-51).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - b**5 + (-4 + 2 + 3)*(1 + b**2 - 1)*((3*b + 11 - 11)*(2 - b**2 - 2) + 0*b**3 + 0*b**3 - 5*b**3).\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = 5*w - 26, -2*h + 12 = w. Let p be 66\/(-24) + (-1)\/h. What is the common denominator of -49\/10 and p\/5 - 427\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 16976?\nAnswer: 16976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4 - -4) + (-1064 - -1009) - -1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101000110111010 (base 2) to base 4\nAnswer: 11012322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13251598.\nAnswer: 2, 677, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 15 - 20)*(30*i**2 + 29*i**3 - 30*i**2) + (-5 + 2 + 1)*(2 - i**3 - 2) + i**2 + i**3 - i**2 as z*i + l*i**2 + d + f*i**3 and give f.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/2137 + -27801\/21370. Find the common denominator of 101\/64 and p.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 484 and 110981772.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 79, 308, 697, 1252, 1979, 2884?\n\"Answer: r**3 + 74*r**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 1\/2449, 90.\nAnswer: -4\/11, 1\/2449, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 1. Let o be ((-2)\/z)\/(11\/22). Put o, 4, 3 in decreasing order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiy when three letters picked without replacement from iyiiyiyiyii?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-8*(-3)\/6 - -2). Let b(c) = 7*c**2 + c - 15. What are the prime factors of b(f)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -56.71 and -0.276473.\nAnswer: -56.986473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 5, 4, 17, -0.3, 2, -86?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8808 divided by -4?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 + 50190\/490 + (-59)\/7 - (-107)\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834376 - 151174 = -22386*n - 394698 - 802524 for n.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 21. Suppose 16*t - 14*t + u = 0. Let k = -2 + 3. Which is the closest to k? (a) 2 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 314*g + 1886\/3.\nAnswer: -(g - 2)*(g + 1886)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -90. What is the derivative of -37 + 2*w**3 + 9 - 24*w**4 - c*w**3 wrt w?\nAnswer: -96*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycy when three letters picked without replacement from yyyccycy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (168\/9 - (-2)\/(-3))*45565\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 0 + 0 - 2 - 5*w - 68*w. Is v(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 9 + 3. What is the least common multiple of z and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 79*v**2 - 42*v + 100. What is m(-40)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75202805?\nAnswer: 5, 15040561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4079392 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f**2 - 21*f + 3. Let q be n(-3). Let s be ((12\/(-7))\/(-4))\/((-6)\/q). Let o(m) = m**3 - 3*m**2 - 3*m + 7. Determine o(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38665.\nAnswer: 5, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -15*g**3 + 23*g**2 + 15*g - 23. Let h(z) = -7*z**3 + 11*z**2 + 7*z - 11. Let d(b) = 7*h(b) - 3*y(b). Find p such that d(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 60.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 90.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 6. Let u be d(-1). Solve 0*w = -u*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c**2. Let z(d) = 24*d**2 + 41. Calculate 2*i(f) + z(f).\nAnswer: 4*f**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.3, -0.01762, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, -0.01762, -1.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.316733.\nAnswer: -2.217131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -10*2\/5. Let t(o) = -o**3 + 7*o**2 - 6*o - 5. Determine t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*w - 18*w - 315 - 224*w with respect to w.\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 389 - 385. Suppose 2*y + 0*y - 1794 = -d*t, -y + 885 = -2*t. Is y a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let o(j) = -j**2 + 4*j + 91. Let n(t) = -o(t) + 5*v(t). Let w be n(-10). Let p = -1.95 - 0.05. Which is the closest to p? (a) w (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16606)\/(-13718))\/((-1)\/(-19))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29.2 and -37.3?\nAnswer: -1089.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6677*d + 196*d**3 + 167*d**3 + 33*d**3 + 6677*d)*(-d**2 + 4*d**2 - d**2).\nAnswer: 792*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 233 = -4*r + 305, 5*r - 25 = 2*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2169 = 127. Calculate the highest common factor of k and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/182)\/(4\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/40804554 and -67\/106308?\nAnswer: 244827324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 10*s + 0*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lll. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5910*l**4 + 4662*l**2*m**3 + 2*m**3 - 3*m**2 - 3983684*m wrt l?\nAnswer: -23640*l**3 + 9324*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 10470375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 0 - (-43 - (43 + -97))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3835, -3838, -3841, -3844, -3847?\nAnswer: -3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(612)*3 - sqrt(612))**2 + (1 + sqrt(612) + 1)**2 + (-3*(sqrt(102) - 2*sqrt(102)) - sqrt(102))\/(6*sqrt(54)).\nAnswer: 217*sqrt(17)\/9 + 15918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0, -8, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8)\/(6\/36). Suppose -k*z - 5 = -14. What is the highest common divisor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 8*n - 6. Suppose u = -4*w - 34, -8*w - 36 = -3*w - 2*u. Give j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 77. Let h = b + -77. Calculate the greatest common divisor of 133 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 4569*u**2 + 2304*u**2 + 2256*u**2 - 2*u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1183 rounded to one dp?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2812662*w**3 + 2952978?\nAnswer: 8437986*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1934.7 - -1155.4. Round f to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ongg when four letters picked without replacement from {o: 1, g: 2, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21174.78 months in millennia?\nAnswer: 1.764565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 90.49674 months?\nAnswer: 0.007541395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -2. Let a(q) = 7*q - 1. Let k(v) be the second derivative of 4*v**3\/3 - v**2 + 5*v + 369. Calculate s*a(l) + 5*k(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1313)\/65 + 64 + -44?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*h - 117 = 0, y + 3*y - 156 = -3*h. Let u be 1046\/(-30) + 148\/15 + -10. Let r = u + y. Solve r*t - 5*t - j = 0, -5*t - 2*j = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 32*j + 37*j - 20, 0 = 3*d - j - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g. Suppose 0 = -3*h + 3*i + 930, h + 10*i - 322 = 7*i. What is the remainder when h is divided by f(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4\/21 (c) -5 (d) 1474\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2 - 0. Differentiate -1 + 2 + q + 8*z with respect to z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 90.68741 millimeters?\nAnswer: 0.00009068741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1675267607 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p. Let y be (-2)\/3 + 72\/27. Suppose -3*l + 18 = -y*j + 5*j, 0 = 5*j + 4*l - 26. Let m(r) = -r**2 - r**2 + 0*r**2 + 4*r**j. Give m(n(h)).\nAnswer: 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3122224 - -3?\nAnswer: 3122230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*o - 79*o = -4*v + 114*o, 2*v - 5*o = -16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -637 - 233.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -2*i. What is the third derivative of 2*u**2 + 2*u**i + u**6 + u**2 - 2*u**2 wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/14*-1*(-42)\/(-3). Solve 0 = z + x*k + 9, 0*z - 2*k - 5 = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/6 - (0 + -295) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/9 + 15704*n\/9 + 5234\/3 = 0.\nAnswer: -7851, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*j - 60, -3*j + 204 = 5*l - 7*j. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3886998.57ns?\nAnswer: 0.000000006426915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7444657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 34. Let n(d) = 11*d - 168. Let p(h) = 13*h - 195. Let t(b) = 6*n(b) - 5*p(b). What is -3*s(u) - 4*t(u)?\nAnswer: -u + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) + 5*sqrt(121) - sqrt(121)))\/sqrt(11) - (((-5*sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10))**2 - sqrt(11)).\nAnswer: -275 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 3*t**5\/160 - 121*t**4\/64 + 5*t**3\/2 - 2*t**2 - 90. Factor p(o).\nAnswer: 3*(o - 40)*(3*o - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 38 = -4*w, 3*n = n - w - 48. Let c = 25 + n. Let i be (23\/c)\/(6\/18). What is the highest common divisor of i and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -30*b - 2. Let s(y) = -15*y - 1. Let w(z) = -6*l(z) + 11*s(z). What is the derivative of w(g) wrt g?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -108\nAnswer: 11\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 24. Let j(v) = 1. Let h(r) = 36*j(r) - 2*y(r). Let f be h(-6). What is the remainder when 1\/(-6) - (-734)\/f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16406948 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 43 + 49*b**3 + 22 + (0*b + 0*b + 3*b**2)*(0 - b + 0).\nAnswer: 46*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 379199.7 millennia in months?\nAnswer: 4550396400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(5 + -25 - -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 3\/2918 (c) -1528\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41960911 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 97\/2. What is the closest to -1 in m, -11, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 1)*30\/9. Suppose -b = u - 6*u. Suppose u = 3*p - p. Solve 5*k = 6 - p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 13 + 1. Let d be 1 + -6 + x + 16. Let y = d - 5. 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 w(l) = -2*l - 14. Let v be w(-13). Let y = -2 + v. What is the remainder when 12\/(-21) + 2123\/77 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*t = -2*t - 602, 0 = -2*t - 4. Let l be (-555)\/j*(-8)\/(-3). Solve -6*k + l*k + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 + -3) - (-1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**3 + 24. Let u(p) = -27*p**2. What is u(f(s))?\nAnswer: -243*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500718547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6206 + -55822\/9. Factor 88\/9*m**2 + 20\/9*m**3 + b*m + 0.\nAnswer: 4*m*(m + 4)*(5*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118 + -4?\nAnswer: -11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m. Let g(i) be the first derivative of 13*i**2\/2 - 15. What is g(v(h))?\nAnswer: -65*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -233942 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 14. Let t be h(0). Suppose -4*a + 40196 = 5*q, 3*a - 30147 = -11*q + t*q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171677.485 rounded to the nearest ten?\nAnswer: -171680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 12:24 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 42?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -40. Let k(g) = 3*g**3 + g + 35. Let r be k(x). Is r greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/273 - -22\/273. Let r = -12345 + 12347. Sort w, r, -12.\nAnswer: -12, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 47*d - 409. What is m(-14)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 273*w**3 - 2*w**2 + 2. Let n(s) = 1367*s**3 - 11*s**2 + 11. Give -4*n(o) + 22*z(o).\nAnswer: 538*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = g. Suppose 4*z - 2*y = 142, z = -3*y + g*y + 37. Calculate the highest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 338363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8550952 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7083772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43530 + -21691. List the prime factors of w.\nAnswer: 21839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154877 + 154877 + 361*h)*(-2*h**2 + 5*h**2 - 2*h**2)*(-2 - 2 + 2).\nAnswer: -722*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + s + 34 - 5 = 0, 53*l - s = 54*l + s + 37 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/10*(4 + (-1568)\/144)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3405.\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-10)*6*11\/(-462).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = -2*b. Suppose -b*o + o = 576. What is o rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.301 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71608262 - 71608304.000053. Let z = -30 - -72. Let b = z + m. Round b to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 68*a - 72. Suppose 0 = 5*p - 48 - 27. Calculate the least common multiple of p and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -1. Let k = -0.054 + -5.346. Let q = 5 + k. What is the nearest to j in q, 4, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 478*f**4 - 448*f**2 + 6311485*f?\nAnswer: 5736*f**2 - 896","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221121 - 10120?\nAnswer: -20002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.1 + 19. Let n = -0.1 - g. Is -5 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001536236 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0*v**4 + 0 + 6\/7*v**5 + 0*v - 6\/7*v**3 + 0*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*g)*(17 + 28 + 11) + 168*g - 185*g - 10 + 13.\nAnswer: 95*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 135*p + 958. Let b be r(-63). Is b smaller than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 410515921*m*n**3 - 812*n**3 + 6*n - 1513 wrt m.\nAnswer: 410515921*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/3 + -61\/15. What is the nearest to 0.03 in c, -1\/3, 0.5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -15. Let g be 10\/35 + f\/(-7). Suppose 4*z + 21 = -w - 0*w, g*w + 30 = -5*z. Let c(o) = o**2 + 4*o - 6. Calculate c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4575\/(-2196) - (-3)\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-172) + 9\/(-22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w**2 + w + 1. Let y(z) = z + 1. Let a(i) = k(i) - y(i). Let o(j) = j**2 + 6. Let g(u) = -1. Let n(t) = 6*g(t) + o(t). Calculate n(a(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117473387.\nAnswer: 53, 2216479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -4 + 0*g**2 - 3\/10*g**4 + 4\/15*g**3 + 0*g + 2\/25*g**5. Factor j(v).\nAnswer: 2*v**2*(v - 2)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161*p**2 + 573*p**2 + 581*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/24)\/(1\/10). Suppose 3*f + 0*f - i*t = -248, 2*f = -3*t - 159. Let h be 2 + 0 - f\/(-36). Sort -2, -1, -0.2, h in increasing order.\nAnswer: -2, -1, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -7. Let u(v) = 4*v - 10. Let t be u(7). What is the greatest common divisor of x and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.83498 seconds to microseconds.\nAnswer: 2834980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4*-386980.43\nAnswer: 1547921.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.81136 days to seconds.\nAnswer: 6722901.504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3215511 + 0.436.\nAnswer: -3215510.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -51. Let d = -20.3 - w. Let r be (3\/36)\/(1\/3). Sort d, 2\/5, r in descending order.\nAnswer: 2\/5, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 14*x**2 - x. Is w(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 2*o**6\/5 + 13*o**4\/12 - 19*o. What is the third derivative of n(x) wrt x?\nAnswer: 288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36\/181 + 32833\/362. Let q = y + -90. Which is smaller: 34 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*r + 3214, 0 = -4*r + 11*g - 9*g + 2566. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/42 - 3*b**6\/4 + 109*b**5\/12 - 105*b**4\/2 + 490*b**3\/3 - b**2 + 240. Factor x(y).\nAnswer: 5*(y - 7)**2*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130008427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 9.4. Let d = r + 20.6. What is the closest to -2\/7 in -1\/2, d, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -18. Let i be (4\/z)\/((-8)\/(-24)). Let 3*c - 6 + c**2 - 2*c**2 + 7*c**i - 3*c**3 = 0. What is c?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * -3.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*p**3 - 41*a**2*p**2 - a**2 - 218*p**3 wrt a?\nAnswer: 2*a*p**3 - 82*a*p**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53665*y**2 + 944*y.\nAnswer: -107330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 5*x - 2. Let m be l(-1). Suppose 5*h = 5*j + 380, 2*j = -4 - 4. What is the greatest common divisor of h and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 - 22*q + 51)*(0 + 3 - 4)*(-3 + 1 - 1) - 6*q - 5*q + 0*q + (0 - 1 + 0)*(-5*q + 0*q + 4*q) as o + z*q and give z.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {d: 2, z: 3, q: 12}.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 26. Let x(t) = t**2 + 7*t + 7. Calculate x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167264 divided by 41816.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + g**2 - 4*g - 3. Let b be j(-2). Let a = 16 - 15. Let u be a\/((-12)\/(-63)) - (-9)\/(-3). Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4465 = 11*i + 681. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*l**2*q - 222989029*l**2 + 8126474*l*q wrt q.\nAnswer: 11*l**2 + 8126474*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 72*k - 19. Calculate the remainder when z(11) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12513.\nAnswer: 3, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3, 1 in ascending order.\nAnswer: 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -33, -651 in decreasing order.\nAnswer: -6, -33, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4757827 is divided by 1807.\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b*b**(-1))\/b)**(-32)\/((b\/((b\/(b*(b\/(b\/(b**5*b)))\/b))\/b*b))\/b**3) assuming b is positive.\nAnswer: b**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*t + 83*t - 3*t**3)*(-5 + 6 + 18).\nAnswer: -57*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228442 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397 + 610. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 122*d**2 + 0*d**7 + 5\/336*d**8 - 1\/6*d**3 - 37\/30*d**5 + 0*d**4 + 0*d + 0*d**6 + 0. Find the third derivative of w(b) wrt b.\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2 + 0*b**2 - 5*b**2 - 7*b**4 + b**2 wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:07 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 11:32 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -52727852+13.3\nAnswer: -52727838.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -156. Suppose 42 = 11*n - a. Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/3*(-860)\/(-4945).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558533517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 182 times -1492.9\nAnswer: -271707.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1498 - -852. Let a = t - -637. Let r(g) = 6*g. Let m(b) = 3*b. What is a*m(i) + 4*r(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 + 14?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1244\/12)\/((-1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 5. Let d be r(-6). Let n(w) = -8*w - 10. Let b(x) = -17*x - 21. Determine d*n(o) - 6*b(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 3)*(-2)\/((-48)\/186). Solve 0 = -34*j + r*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 50419\/31, 0.4?\nAnswer: 50419\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*c + 10 = -w, 3*w - 5*c + 12 = 0. Let k be w*(-2)\/6 + 672901\/3. Round k to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2000)\/675)\/40 - (3477\/81 - 5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -849640*m**4 - 280*m**3 - 544682387*m wrt m.\nAnswer: -10195680*m**2 - 1680*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9932 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-3)*-3*-1)\/((-903)\/(-86)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - -0.4. Which is the nearest to 0.1? (a) 2 (b) d (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/((x*(x*x*x*x**1\/x*x*x*x*x)\/x*x)\/x)))*x)**(-7\/8))**(-1\/35) assuming x is positive.\nAnswer: x**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1\/g)*g)**(1\/5))**(12\/5) assuming g is positive.\nAnswer: g**(24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 8*w + 9. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3628, -7254, -10880, -14506, -18132, -21758?\nAnswer: -25384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (-270)\/63 + 4\/14. Let l = 54 + n. Calculate the remainder when l is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let f(v) = v**2 + z*v + 2 + 2*v**2 - 2*v**3 + 1. Let u(g) = -4*g**3 + 3*g + 4*g - 2*g + 5 + 5*g**2. What is -5*f(w) + 3*u(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-7 - -3))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265391 not equal to -265393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**2*d*d)**(29\/3) assuming d is positive.\nAnswer: d**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 5*y**2 + 3*y - 12. Let r be d(5). Let t be ((-2)\/r)\/(2\/6). Let x(o) = -10 + 7 + 4. Let g(s) = s + 1. Determine t*g(j) + 3*x(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -19*m**5\/20 - 19*m**3\/6 - 3*m + 3. What is the second derivative of v(u) wrt u?\nAnswer: -114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 516 and 1494?\nAnswer: 128484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/18*-2*(-10)\/75?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {f: 2, z: 2, l: 2, e: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 11:33 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 153.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 15*v**2 + 59*v + 3. Let p(o) = o**2 - o + 1. Suppose -24*d = -18*d - 6. Let h(l) = d*b(l) - 3*p(l). Find the second derivative of h(m) wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/9 and -1\/1903771.\nAnswer: 17133939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/10*8\/6. Let d(g) = g + 1. Let m be d(10). Let p = -1 + m. Solve -3*z - p = f*u - u, 4*z - 2*u = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1784965*a*i**5 - 4*a*i**3 - 9904*a + 52*i - 5 wrt i?\nAnswer: 35699300*a*i**3 - 24*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 188476, 376916, 565354, 753790, 942224?\n\"Answer: -q**2 + 188443*q + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - -10\nAnswer: 9.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3*w**2\/2 - 5*w - 1. Suppose -5*y = 2*x - x - 10, x = 4*y - 17. List the prime factors of u(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(44) + 3*sqrt(1100))**2 + -5.\nAnswer: -320*sqrt(11) + 11284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-940)\/50 + (-4)\/(-5))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -176, -1646, -4102, -7538, -11948, -17326, -23666?\n\"Answer: y**3 - 499*y**2 + 20*y + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005353 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -761600 to the nearest ten thousand.\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 1275071.\nAnswer: -1275085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1507826?\nAnswer: 2, 29, 25997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/2 - 3*t + 5\/2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1869623ml to litres.\nAnswer: 0.0001869623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 + 204*m**2\/11 + 4086*m\/11 - 4292\/11.\nAnswer: 2*(m - 1)*(m + 29)*(m + 74)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 162699*g**2\/2 - 2928825*g\/2 - 13180077\/2.\nAnswer: (g - 162717)*(g + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 786*t + 1 + 729*t - t**2 to the form b + f*t + c*t**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23888 + -10334. List the prime factors of v.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(162) - (sqrt(162) - (sqrt(162) + 2)*-2) - 4*sqrt(162)*2))**2.\nAnswer: 2160*sqrt(2) + 64836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30\/11 in 2, -1\/2, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 34*k + 181. Let s be r(31). Suppose 53*w - 62*w = s. Is -244 != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhfyhfyp. Give prob of sequence fpyh.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1202172447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6) - 3\/9*-1. Are g and 3\/34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223\/4 - -56. Let m = 35 - 17.4. Let v = 14.6 - m. What is the nearest to -2\/7 in v, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (874\/171*48\/40)\/((180\/(-25))\/(-6)).\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 3 (c) -85 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 5:23 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71578?\nAnswer: 2, 13, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -83? (a) 3\/5 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23334b (base 13) in base 9?\nAnswer: 1512885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2084 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1729 and 8580039?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus -39734?\nAnswer: -39734.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 5619*y + 66 + 5773*y + 125.\nAnswer: 154*y + 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/4 + 1998*h**2. Let z(l) = 52*l**2 + 5. Calculate z(x(s)).\nAnswer: 1872*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -16, -5, -4, 12\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:26 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12663708 is divided by 91?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28845 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + (-3 - 2))*2. Suppose 12*z = 15*z - d. Solve 30 = -5*m - g, 3*m + 2*g + 15 = z*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 20. Let c = -11 + d. Suppose 507 = 34*p - 411. Calculate the remainder when p is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 19*h**5\/4 + 65*h**4\/12 - 263*h**2. What is the second derivative of a(n) wrt n?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - (-8 + (9 - 6) + 23).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -115\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p - 107. Let x be m(-8). Let r(n) = -93*n - 11. Let w be r(-5). Let i = x + w. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45604106917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9947200 rounded to the nearest ten thousand?\nAnswer: 9950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 - 14*v**2 + 12*v = 0 for v.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z - 612. Let m(l) = -53*l - 6728. Determine 2*m(r) - 23*x(r).\nAnswer: 9*r + 620","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15972*f**2*t**3 - f**2*t**2 + 6*f**2*t + 1418*f wrt t.\nAnswer: 95832*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (3 - 1059\/(-24)). Let g = 4395\/88 + b. Find the common denominator of (-280)\/198 + (-2)\/9 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 5522?\nAnswer: -5521.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 - j**3 - j**3 + (-3 + j + 3)*(-2*j**2 + 0*j**2 + 3*j**2) - 2*j**3 + j**3 + 4*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6562 = 601*f - 3588 + 534. What is the remainder when 750 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - s - 21 = 0, 0 = -2*y - 4*s - 16 - 12. Let c be (-1)\/(y\/128*4). Solve 4*r = 12 + c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 4*m + 3*m + 0*m - 5*m**3.\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 2*g**2 - 2. Let s be t(4). Let a = s + -243. Is (-4)\/14 + a\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 - (17 + 49) - (6 + 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 + 18.77. Let w = 3100092656.99999993 - 3100092676. Let g = w + f. What is g rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -19*l - 2. Calculate the least common multiple of l and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2383090, 2383070, 2383054, 2383042, 2383034?\n\"Answer: 2*g**2 - 26*g + 2383114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -2, -498, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-309120)\/(-5198))\/(-30)?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21355675 by -21355675.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -52.00000155. What is a rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1206, 2420, 3646, 4890, 6158, 7456, 8790?\n\"Answer: x**3 + 1207*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.463\nAnswer: 1.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1)\/(-3) - -4. Suppose p = d*p - 80. Calculate the lowest common multiple of p and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + -4.99. Let q = -5 - a. Put 1, q, -0.3 in descending order.\nAnswer: 1, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14210000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15071851 to the nearest integer?\nAnswer: 3882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/3308076 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -0.1, 5, 315?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/597 - 904\/55521. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70014 + -34306877\/490. Calculate the common denominator of y and 123\/20.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2215 (base 6) to base 13\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -1. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 867*r**2 + 182*r - 7. Let w(m) = -868*m**2 - 175*m + 6. Let c(j) = -6*g(j) - 7*w(j). Let i(a) = -33*a**2 - 5*a. Calculate 5*c(k) + 133*i(k).\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/140)\/((-269640)\/(-125832)).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20*(14\/8 - 3). Solve -2*c = 3*c + b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.82, 3, 2\/17, -0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 1339 = 25*p + 1958 - 751 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 7*p**6\/15 + 55*p**5\/6 + 509*p**4\/18 + 277*p**3\/9 + 22*p**2\/3 - 1028*p. Determine d, given that i(d) = 0.\nAnswer: -11, -1, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.945383670795313 - -7615549.224616109204687. Let g = h + -7615550. Let a = -0.17 + g. What is a rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20212 - -131232?\nAnswer: 212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239922116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5034198 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 2, w: 4, t: 4, z: 5}. What is prob of picking 2 z and 1 b?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5))\/(w**(-6\/13)*w) assuming w is positive.\nAnswer: w**(71\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -295533*o**3 - 7*o + 7370488.\nAnswer: -886599*o**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7619*j**2 + 1. Let f(b) = 5224*b. What is f(o(h))?\nAnswer: -39801656*h**2 + 5224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22834234 and 4065814.\nAnswer: -18768420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*m - 184 + 823. Which is greater: 2\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*q = 7*q - 257, 3*o = 4*q - 152. Suppose 5*a = 4*x - 575, 25 + 120 = x - a. Let w = o + x. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d - 4 = 29*d. Let o(y) = -2*y**2 - y**2 + 1 + 2*y**2 + 4*y**d. Let r(v) = -2*v. Give r(o(a)).\nAnswer: -6*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/946 and -45\/812872.\nAnswer: 8941592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5)*z*z**(-4\/5)\/z)\/(z**1)**(1\/9) assuming z is positive.\nAnswer: z**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*u = 178*u. Suppose 5*m - 6 - 9 = 0. Solve u = -r - m*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**13\/s*s)\/s*s*s*s*s**(-11)*s)\/(s**(-9)*s)**(-5\/13) assuming s is positive.\nAnswer: s**(25\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1804*d + 27. Let a be k(-1). Let z = a - 1168. What are the prime factors of z?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -183, -287, -411, -561, -743, -963, -1227?\n\"Answer: -b**3 - b**2 - 80*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 290 - 79. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -40*j + 3. Let g(r) = 78*r - 4. Determine 3*g(b) + 5*s(b).\nAnswer: 34*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3515*y**2 - 192 + 623 - 237 - 194.\nAnswer: -3515*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 3*d - 8, 5*d - 3*q = 156 - 111 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*x + 105 = 3017 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21680 + 21808.71. Let p = -0.71 + y. Let l = p - 127.99907. What is l rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/122621 and 77\/28852.\nAnswer: 490484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/6)\/(l\/l**33) assuming l is positive.\nAnswer: l**(193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -40*z**3\/7 - 58*z**2 - 426*z\/7 - 108\/7 = 0.\nAnswer: -9, -3\/4, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + -936 + 919 - 80?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*s**3 + 767*s**2 - 36*s**3 - 6*s**3 as g + d*s + x*s**3 + u*s**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/905 and -21\/40.\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -61*v + 2*v**2 + 69*v - v**3 + v**2 + 2*v**2 - 7. Suppose -2*y - 15 = y. Let x(i) = -i**3 - 6*i**2 - 5*i + 6. Let g be x(y). Give q(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 151*z**4\/24 - 452*z**3\/3 - 27*z**2 + 17*z. Differentiate a(q) with respect to q.\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 6:17 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*p = 4, h + 4*p + 35 = 50 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13564 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 647496 and 424728.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-143))\/((-9300)\/1860).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 39 in increasing order.\nAnswer: -5, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 2:44 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y - 103. Let t be n(-15). Let m = 22 + -18. What is the greatest common factor of m and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -138*r - 3. Let g(f) = -273*f - 6. Calculate -6*g(k) + 11*u(k).\nAnswer: 120*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -14. Let k = 50 - 16. Calculate the remainder when k is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8261724 to the power of 1\/2, to the nearest integer?\nAnswer: 2874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2403 + -2403.5. Let s = 80 + -70. Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let s be l(5). Suppose -s*j = -j - 20. Let k = 17 - 9. What is the lowest common multiple of k and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*h + 2779, s + 0*s + 2773 = 2*h. Let d = 813 - 804. Suppose -d*p + 154 + h = 0. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 150.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*h - 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13926\/495 + -30)\/(4\/9).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100430 - -104120?\nAnswer: 210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (188 - 69) + -244.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + -1*sqrt(171) + ((-6*(-1*sqrt(152) + sqrt(152) - sqrt(152)))\/sqrt(8))**2.\nAnswer: -3*sqrt(19) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -24*o + 86. Let x be z(4). Let q(t) = -2*t**2 - 15*t. Give q(x).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 914487 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/33*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from cicicccc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.078 + -694545?\nAnswer: -694544.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 7. Let x(u) = -3. Calculate -2*b(o) + 5*x(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 602749811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -0.17. Put l, 0.2, -5\/3, 2\/11 in descending order.\nAnswer: 0.2, 2\/11, l, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.5 - -2.28. Let z = c + -0.08. Let v = 0 + z. What is the nearest to 1 in 0.1, v, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 286.1 - 278.1. Is -1\/66 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -g - 2*g. Suppose -g*x + 172 = -1792. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46103260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -0.3 (b) 21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 3*a + 23, -a - 14 - 12 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1310*u + 79. Let h(y) = -654*y - 44. Give 9*h(p) + 5*o(p).\nAnswer: 664*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/32*333000\/(-23125).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 1596 = 9*l + 1537, -4*w + 3*l + 88 = 0 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*f = -24, 862*f = 857*f + 50 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3144 - -5393. List the prime factors of y.\nAnswer: 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 2\/11, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91e (base 16) to base 7.\nAnswer: -6543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 450. Suppose 0 = -0*g + 3*g - x. Suppose k + g + 23 = 2*f, -4*k = -4*f + 152. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/11))**(-11) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 3:27 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -26.1. What is the nearest to v in 2\/7, -0.1, -2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*k - 4*z, 0 = -4*k - 5*z + z + 28. Suppose 3*a - 835 = -k*a. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 33\/152?\nAnswer: 33\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109\/2 - 54. Let v = -538 - -541. What is the fourth biggest value in 4, 1\/6, h, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163 and 123391?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - u + 5, -182*h - 3*u - 3 = -176*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.46556 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -4\/3 (c) -2\/9 (d) -0.038 (e) 3 (f) -1\/2 (g) -4663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-45) - (-8)\/3. Suppose 2*u - v*j - 31 = 31, -4*u + 120 = -3*j. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(16) - sqrt(80)*1 - -5*(sqrt(80) + -2))**2.\nAnswer: -330*sqrt(5) + 5845\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = -3*g + 47*i + 43839, -43859 = -3*g - 2*i. What is the highest common divisor of 94 and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -465 times 1.2\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*a + 89*a + 8 = 5*k, a + 1 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3 - -3) + 4)\/2. Let l be x\/8 + 7\/4. Let f = l + 10. Calculate the highest common divisor of 48 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17281198981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.96*177.\nAnswer: -346.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11474?\nAnswer: 2, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006998891 to six dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (33 - 34) + 0 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 - 425 - 5*w**2 + 2189 + w**2 in the form d*w**2 + r*w + j and give j.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 311*b**2. Let i(r) be the third derivative of -r**5\/4 + 2425*r**2. What is i(c(g))?\nAnswer: -1450815*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -823319996.1 to the nearest 10000.\nAnswer: -823320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.8472 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3205948580?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5 + 355*l**4 + 2105*l**3 - 145395*l**2 + 1008450*l - 1458000 = 0.\nAnswer: -45, 2, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*-82*27\/1431*53.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.103 and -195950592552?\nAnswer: 195950592551.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:25 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.087*-0.3.\nAnswer: 3.3261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*y + 3*k, 2*y - 3*k = k - 12. Let z = -5 + 25. Solve 5*u + y*c = 2*c + z, 3*c = 5*u - 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-159)\/2)\/((-3)\/4)*(-279)\/(-64728)*116.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(1\/2)\/a)\/a))**(-12\/5)*(a**(2\/3))**0*((a\/a**(2\/5))**(5\/2))**(-3\/4) assuming a is positive.\nAnswer: a**(-189\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15b721 + 4?\nAnswer: -15b719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 164206393 to the power of 1\/2, to the nearest integer?\nAnswer: 12814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6362 by -5.\nAnswer: 6362\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 3, z: 5, s: 1, i: 3}. Give prob of sequence ibi.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {k: 2, w: 1, i: 1, h: 1, z: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 302, 3, -5 in decreasing order.\nAnswer: 302, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20976 divided by 228?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -325\/4. Let o be 21\/(-27) + 1 + 0. Which is the closest to o? (a) 0.3 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - q**2 + q. Let i(z) = -18*z**3 - 5*z**2 + 5*z. Let a(v) = -v**3 + 6*v**2 + 8*v - 6. Let k be a(7). What is k*i(b) - 5*h(b)?\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5168, -11001, -16834, -22667, -28500?\nAnswer: -34333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 2. Let a be o(2). Suppose 4*q + a = 4. Let h be 11\/5 - 2\/q. What is the closest to 1 in -0.2, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458901 minus 333.38259?\nAnswer: -1459234.38259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-583)\/(-187) - 3 - 12236\/(-34)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-669 + 333 + 106*a + 334)*(-4 - 8*a + 15*a + 2).\nAnswer: 742*a**2 - 226*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m + 1. Let n = 8 - 8. Suppose -5*w = -5 - n. What is r(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 66) + -15829 + 15815.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2 - 2)*(16*o - 21*o - 78*o)*(-87 + 62 - 83) - 2*o**2 + 2*o**2 + o**2.\nAnswer: 8965*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8218779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 193756*o + 193755*o + 0*o**3 - 23*o**3 + 4*o**2 + o**2 as d + m*o**3 + q*o + i*o**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 49*z**2 + 52*z - 190. Determine m(48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 12:17 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 276?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 6 = 5*m, 3*m = -5*y - 2 + 1. Let u be -8*y\/(-5)*5. Let j = u + 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(104)\/(sqrt(16)\/sqrt(2)) - (sqrt(91)*3)\/sqrt(7)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 32\/15*w**3 - 2 - 88\/75*w**5 + 0*w - 20*w**2 + 26\/15*w**4 + 6\/175*w**7 + 11\/150*w**6. Find k such that r(k) = 0.\nAnswer: -4, -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttvdttcho. What is prob of picking 1 v, 1 c, 1 h, and 1 d?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/12 + 25*c**4\/24 - 35*c**3\/3 + c**2 + 2*c. Factor w(v).\nAnswer: 5*(v - 2)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2500 and 1593750.\nAnswer: 3187500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (412\/(-5665))\/((-4)\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -17 - (8959 - 8953)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Suppose -8 = n*u - 33. Calculate the highest common divisor of 55 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 5, -21 in decreasing order.\nAnswer: 5, 4, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24758 - -24573. Is -1847\/10 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 4. Let h(o) = 7*o + 10. Let f(x) = -4*h(x) + 10*j(x). Suppose u + 10 = 3*u. Let i(p) = p**2 + 5*p. Calculate u*f(y) - 2*i(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -761 + 1802. Let z = -26036\/25 + s. Find the common denominator of z and 12\/7.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h**4*o**3 - 28557682*h**4 - 740542997*o**3 wrt h.\nAnswer: -28*h**3*o**3 - 114230728*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Suppose -114 = j*y - 5*y. Let n = 112\/3 - y. Which is the closest to n? (a) -0.3 (b) 0 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*(-15)\/10?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Suppose 0 = y*p - 78 + 2. Suppose 167 = 4*u - 0*r - r, r + p = u. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11068 and 6?\nAnswer: 33204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (289 - 289 - 235*f)*(5 + 0 + 5).\nAnswer: -2350*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -1\/6*f**4 + 0*f**3 - 32 + f - f**2. Let l(a) = -2*a. Determine w(l(x)).\nAnswer: -8*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 725466 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2505*c - 2510*c - 170, -38 + 8 - 2 = -c - 7*c for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1533*v - 2558. Is g(111) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 254*d - 228. Is 15 a factor of m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s - 2. Let v be s + 2\/(6\/(-9)). Does 21 divide v*(-3 + (-60)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2825724815?\nAnswer: 5, 565144963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61331248 to the nearest integer?\nAnswer: 7831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21834034 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5672861875 + 22.95.\nAnswer: 5672861897.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 5*y + 4. Let l be x(2). Let j(t) = -7*t**2 + 4*t**l - 2 + 1 - 11*t + t**2. Let a be j(-5). Solve 2*n + a = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 0. Suppose -3*y + o = 0, -3*n - n = -2*y - 20. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxvqxxvnnvxvdv. What is prob of picking 1 d and 1 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/160 + n**5\/80 + n**4\/32 - n**3\/8 + 4*n**2. Factor o(w).\nAnswer: -3*(w - 1)**2*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14341?\nAnswer: 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740.9340554 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368346.\nAnswer: 2, 7, 43, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = t + 20, t - 1 = -y + 4. Solve -y*x + 73 = 93 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {s: 6, z: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93615 + -351763.3.\nAnswer: -445378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*q = -620*q - 134733 + 15680 for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - i - 2. Let j(g) be the second derivative of 22*g - 1\/2*g**3 + 0 - g**2. Let o be j(0). Calculate d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**(-1\/5))\/c**(-17) assuming c is positive.\nAnswer: c**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -2 (b) -4 (c) 2.075 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4)*t**(-2\/3))\/(t*t**(-11)*t**(2\/53)))**(17\/6) assuming t is positive.\nAnswer: t**(17017\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*k*m**3*u**2 + 212921*k*m**3*u + 7135632*k*u**2 - 2*m**2*u**2 wrt m.\nAnswer: -102*k*u**2 + 1277526*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 1:03 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*c - 3026 = 0, 0*v - 3*v - 4*c = -4539. What is the hundreds digit of 20 + v + -3*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -825 + 1120. Let u = 92 + g. Calculate the remainder when u is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7770 and 1750?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -2*(-38)\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let s = -0.0011 + 91.4011. Let p = s - 91. Sort h, -3, p, -2\/11 in increasing order.\nAnswer: -3, -2\/11, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(-3 - 3 + 0) - 3 + 3 - 2 + (1 - 6 + 3)*(1 + 1 + 0))*(3 + 4*l - 3).\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5723 and -5?\nAnswer: 5728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9115?\nAnswer: 5, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7862788.122238 - 595768.120498. Let q = -7266874 + p. Let v = 146 - q. Round v to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 3\/17 (c) 11\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2 - 301*n**6 + 533*n**6 + 64*n - 2*n**5 - 2*n**2 + 69*n wrt n.\nAnswer: 27840*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - l - 1, 5*h + 4 = -4*l. Calculate the remainder when ((-10494)\/(-424))\/(27\/12 + -2) is divided by h + 3 + -5 - -27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.2 (c) -28 (d) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1125)*1)**2 + sqrt(1125) + -2)*-4.\nAnswer: -4492 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-6))\/((-27)\/(-36)). Let q(u) = u - 1 + 5*u**2 - 5*u**i - 5*u**2 + 4*u**2. Determine q(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 2. Let j(l) be the second derivative of l**4\/12 + l**3\/6 - l**2\/2 - l. Let a = -1306 - -1308. Determine a*s(x) + 4*j(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.93849 millimeters in nanometers?\nAnswer: 98938490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/5, 4, -0.1, -2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, 1 s, and 1 v when four letters picked without replacement from {z: 4, v: 1, q: 1, s: 1, n: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x + 3*x. Let u(o) = 4*o**2 - 6 + 2*o + 2*o**2 - 11 - 3*o**2 + 19 + 0. Let c(g) = 10*g**2 + 7*g + 6. Calculate x*c(f) + 7*u(f).\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 311603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17723962 to the nearest integer?\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 6) in base 10?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7932*r - 40. Let x be g(5). Suppose 0 = -4*i + 2*i + x. Suppose 0 = 14*o - 7*o - i. Round o to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b + 46. Let t(z) = 2*z - 9. Let p(d) = 2*g(d) + 11*t(d). Is p(13) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116025*z**2 + 20493*z - 2.\nAnswer: 232050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237 and 27?\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57592086 by 3.\nAnswer: 19197362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 5)*(5*w**2 - 2*w**3 + 5*w**3 - 2*w**3) as f*w**3 + r*w + g + n*w**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3, 1, 0.1, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8842)\/3)\/((-5)\/15). Is (-13)\/26*g\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7140)\/9)\/((-43232)\/4632).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -535\/8. Suppose -2*w + 2*l - 6 = 0, -5*w + 0*l - 5*l = 25. Which is the second smallest value? (a) m (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0459022 times -20.3?\nAnswer: 0.93181466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -299 - -130. Let t = l + 316. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/56*7)\/(1\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53694880.\nAnswer: 2, 5, 23, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3233 + -11324448346.\nAnswer: -11324448346.3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from {v: 3, w: 1, m: 7, z: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*s**3 + 1104*s**3 - 3184*s**3 + 1066*s**3.\nAnswer: 105*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192661 is divided by 1009.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9527*b**2 + 10*b - 15. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076764459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 < 1287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -26, 69, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17\/15*20\/204\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 555.196 * 1583\nAnswer: 878875.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + a + 14, 2*a - 1 - 1 = -j. Suppose -p - 10 = 3*y - 6*p, 5*p - j = 2*y. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61084 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*b - 7, 4*l + 7*b = 8*b - 3. Let w be 31601*(1 + l) - (3 - 4). What is w rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/3, 1\/2, -1, -490.47, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-72)\/(-30) - 3 - 6740\/(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304 - -53. Let o = s - -2759\/11. Which is the nearest to 1? (a) 0 (b) o (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/5))**(19\/2)*(c**(2\/5)*c)\/c*c**(-3\/13) assuming c is positive.\nAnswer: c**(999\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -23*c - 424. What is l(-8)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2, 1\/32, 3\/4?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*g + 650 = -1830, 4*c - 1963 = g. What is the least common multiple of 12 and c?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 23. Suppose 7 = 3*h - g, 5*h - 23 = -n*h - 4*g. What is the tens digit of 58\/3 - 1\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**4\/24 + 128*i**2. Let d(p) = -20*p - 8. Let g(y) = 13*y + 5. Let r(c) = 5*d(c) + 8*g(c). Calculate r(b(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -644*l + 4. Let o be n(-6). Suppose -o - 296 = -z. Suppose -4*u - 8*u = -z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (393\/524)\/(4\/(-16) - 70\/(-272)). Solve 104*i = r*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -957\/476 + 24015\/12376. Calculate the common denominator of a and 103\/36.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 19\/15)\/(((-984)\/90)\/(-82)). Let u be ((-5)\/45)\/((-2)\/12). What is the third biggest value in u, 42, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4023*r**2\/4 - 3*r\/4 = 0.\nAnswer: 0, 1\/1341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 505665 and 15963?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2) - sqrt(50)*3) + -4*-2*sqrt(2)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/120 + w**3\/6 - 7*w**2. Give j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n + 14 = 0. Let y(x) = x**2 - 8*x - 1. Let g be y(n). What is the tens digit of (18\/4)\/(g\/(-96))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, 16.8, -10, -0.8, 2.\nAnswer: -10, -0.8, 0.2, 1, 2, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(68)\/sqrt(4) + sqrt(17))*6*-3 + -6*1*sqrt(1700).\nAnswer: -96*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64028897 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 7?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5.1 (b) -2\/11 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164220 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - t**2 + t + 1. Let x be s(0). Let n(z) = -75*z - 2. Let d(m) = 487*m + 13. Let f(p) = -2*d(p) - 13*n(p). Let o(a) = 6*a. Give x*o(l) - 3*f(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/8 (b) 0 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**3 - 51*l**2 + 114*l + 168 = 0.\nAnswer: -1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1768*c**3 + 15*c**2 + c - 20. Let k be x(20). What is k rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 - 27*n\/2 + 76 = 0. What is n?\nAnswer: 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 20432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from {q: 1, a: 4, v: 3, t: 5, c: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - (-9 + 5) - -14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(13\/3)\/h*h*h**(-2\/7)*h*h*h**(1\/10)*((h\/h**26)\/h)\/h assuming h is positive.\nAnswer: h**(-4169\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7028*s + 3857 = -7142*s + 95 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:26 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + 3*y + 7. Is 11 a factor of j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 519.29 - 537. Let k = -8.88 - l. Let u = -1.13 + k. Sort 0.2, u, 4.\nAnswer: 0.2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**21)\/(d\/(d**(2\/23)\/d*d)) assuming d is positive.\nAnswer: d**(-481\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7 + 138\/18). Is 288841\/56 + (-4)\/(-35 - d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 730 + -465. Let b = 796\/3 - m. Factor -4\/3 + b*i**2 + i.\nAnswer: (i - 1)*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/44 and -37\/3668304.\nAnswer: 40351344","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/47? (a) 52 (b) -1.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 d, and 1 a when three letters picked without replacement from {t: 6, r: 1, d: 1, a: 2, l: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = 15. What is the second derivative of 2*j - j**m + 3*j**5 + 0*j**5 wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 2, w: 6, l: 4}. Give prob of picking 2 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -290174 take away -4185716?\nAnswer: 3895542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - z = -3*u - 6, -u = -z. Let p be 3\/(-3)*7 - -7. Suppose -i - 3 = p, -3*i - 42 = -3*s - 4*i. Solve s = 7*g - u*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 2*j**2 + 4*j**2 + 18*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -519.14 + 2.14. Let t = f - -469.1. Let k = -61.2 + t. Round k to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 + 3*k + 78. Calculate q(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*c + 42*c + 20*c - 3968*c**2 + 23*c to j*c**2 + s + d*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 286367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 6*y + 1. Let m(f) = 13*f**2 - 11*f + 3. Let r(d) = 6*m(d) - 11*w(d). Suppose -x + 2 = t, 4*x + 6 = -0*x + 3*t. Determine r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -669*f**2. Let l(d) = -16*d**2. Give l(w(m)).\nAnswer: -7160976*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pogog. Give prob of sequence gg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*d - 3*x + 9, 0 = 5*x - 5. Let q(a) = -a**2 - 10*a - 1. Calculate q(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46532 times 3.453\nAnswer: -160674.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7545626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 1:03 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15437.3 + 1\nAnswer: 15438.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276873, -553745, -830617, -1107489, -1384361, -1661233?\nAnswer: -1938105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/67 - 193\/134. Suppose i + 4 - 7 = 3*w, 0 = 4*w + 8. Which is greater: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 14, 0.4, 3\/7, -20849\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 734879063 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 211 - 26 - 197 - 323*q as z + h*q and give h.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -5*p + z, 462 = 5*p + z + 160. Calculate the greatest common divisor of p and 1176.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1688585, 3, -4, 2.\nAnswer: -1688585, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26247515, -26247513, -26247511, -26247509?\nAnswer: -26247507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3282508, -3282514, -3282520, -3282526, -3282532, -3282538?\nAnswer: -3282544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 968, 1461, 1938, 2399, 2844, 3273?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234 is divided by 553.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20393 - -20397. Let i(v) = 4*v**3 + 2*v - 2. Let f(c) = 17*c**3 + c**2 + 9*c - 9. Calculate u*f(b) - 18*i(b).\nAnswer: -4*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 76. Let z be j(0). Let y = 75 - z. Is y equal to -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o - 55. Let i = -3328 - -3338. Calculate t(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(2\/6)*131\/((-946344)\/280)?\nAnswer: 5\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s + 2. Let g(i) = -9*i**3 - 6*i**2 - 2*i + 16. Let l(j) = g(j) - 6*r(j). Let n(v) = -2*v**3 - 2*v + 1. Determine -6*l(d) + 26*n(d).\nAnswer: 2*d**3 - 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 3*t**2 - 1. Let f(i) = i**2 + i - 1. Let l = -14883 + 14884. Calculate l*f(p) + d(p).\nAnswer: p**3 - 2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 68. Let z = -64.75 - n. Let i = z + 0.55. Round i to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -45*i + 3 - 27*i + 9 - 11. Is n(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**6\/105 + x**5\/14 + 2*x**4\/21 + 57*x. Factor f(u).\nAnswer: 2*u**2*(u + 1)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 28. Let j = 7207 + -7208. Let h(p) = p - 1. Calculate j*h(q) - u(q).\nAnswer: -2*q + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2\/13, -2\/17, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*m - 11 = 0, 2045*m = 2*q + 2047*m - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and -1847.45.\nAnswer: -1847.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8324103 - -12.6\nAnswer: -8324090.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwpw when four letters picked without replacement from pppwppwwpppwwppppp.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/20*(-10)\/(-4). Let r(h) = -h**2 - 5*h**2 + 5*h**2 - h - o. Let i be r(-1). Is i < -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7453, 7939, 9315, 12037, 16561, 23343?\nAnswer: 32839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(b**4 + 3*b**4 - 3*b**4) - 5*b**2 - 2*b**4 + 5*b**2 - b**4 - b**4 + 3*b**4)*(50 + 8*b - 50).\nAnswer: -24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/17? (a) 4 (b) 0 (c) 2\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 0, -68300 in decreasing order.\nAnswer: 6, 0, -4, -68300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(540))\/(-4*sqrt(48)*-3).\nAnswer: -3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 87. Suppose m*v - 5*y - 32 = 0, -4*y - 11 = 5. Solve -10 = -2*o + v*u + 2*u, 2*o - 2 = u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-4))\/(8\/160). Solve 16 = d*y - 4*j, 3*y + 4*j + 16 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 - 1.8. Which is the second smallest value? (a) -0.5 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:14 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 1.09?\nAnswer: -17.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -230, -330, -600, -1124, -1986, -3270, -5060?\n\"Answer: -14*n**3 - n**2 + n - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 16. Let x be o(-11). Let j = x + -3. Solve 4*h - j*h = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540\/48*6*1924\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.01, -3, 31\/4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(3\/3 - -2). Let h = 118 - 119. What is the closest to -0.2 in -5, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 2*g**2 - 3*g + 4. Suppose l - 2*u = -2, 4*l - 2*u + 15 = -u. Let v = -1 - l. Calculate j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and 12.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*x - 17*x + j + 10, 2*x = 4*j. Solve h + x*s = 4, -4*h + s + 0 = 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 7 + 5, 5*p - c - 3 = 0. Suppose -5*w = 5*m, 0 = -4*m + m + 3*w + 24. Suppose m*h + p*h = 28. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313 + 350*q**2 + 313.\nAnswer: 350*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 18\/5)*5. Let j(d) be the first derivative of 2*d - 1\/5*d**5 + 0*d**2 + 0*d**m + 2 + 0*d**4. Find the first derivative of j(k) wrt k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006234 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z - 3*z**2 - 7 + 6*z**2 + 6*z. Is r(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190 (base 14) to base 6\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5633835*11.\nAnswer: -6.1972185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*s + 4 - 4 = 325*s. Solve s*c - c**3 + 0*c**2 - 1\/2*c**4 + 0 + 3\/2*c**5 = 0 for c.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12236.2 - -12236. Which is the biggest value? (a) 2 (b) x (c) 1 (d) 124\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/60 + v**4\/6 - v**3\/3 - 44*v**2. Calculate t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 105 = -4*q. Suppose -s = -5*l + 42, 0 = -5*l + 2*l + 2*s + q. Let v = 26 - l. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144680238?\nAnswer: 2, 13, 23, 199, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864 divided by -27.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p. Let v(z) = 13*z + 32. Let d(t) = 5*t + 16 + t + 5*t - 5*t. Let b(q) = 9*d(q) - 4*v(q). Give b(h(g)).\nAnswer: 2*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4*r*u + 2583999*d**4*u - 4*d**2*r*u - 14*d**2*r - 12*d**2*u + 3*d*r*u + d - 9*u wrt d.\nAnswer: 48*d*r*u + 62015976*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/705*55\/44?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*w - 51*w - 290*w.\nAnswer: -930*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5778 (base 11) in base 15?\nAnswer: 23ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40957 - 41284 + 79617)*(-3*n - 1 + 1) to the form v*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/24 - 166*m**5\/5 - 1189*m**4\/6 - 264*m**3 - 8509*m**2. Suppose k(l) = 0. What is l?\nAnswer: -396, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2 - -1)*0)\/((-8)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327283?\nAnswer: 11, 29753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 2. Let f(o) = -4*o + 2*o**2 + 31 - 27 - 2*o - 30. Calculate the lowest common multiple of f(7) and k(5).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 15 = 0, -8 = -4*u + d - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let t be x(-2). Suppose 4*n + 6 = 22. Suppose -a - 7 = 2*l + 2, 0 = n*a - l - 9. Is a at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 21*x**2. Let v be 34\/14 - 24\/56. Let o(m) = 2*m**v - 5*m**2 - 9*m**2 + 14*m**2. What is o(c(y))?\nAnswer: 882*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 + 0.3. Let c = -0.09003 + u. Round c to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*c + 564, 4*c - 7*c + 340 = -u. Suppose c = 5*z - 4*v, 3*z + z - 4*v = 92. What is the highest common divisor of z and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -2756\/255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 556 (b) -0.3 (c) 0.05 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - -322113231?\nAnswer: 322120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 1. Let x(d) = -2*d**3 - 5*d + 6. Give -5*n(p) + x(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 96, 152, 246, 390, 596?\n\"Answer: 2*n**3 + n**2 + 13*n + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.4093 hours in days?\nAnswer: 26.9753875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 1.3. Let k be (21\/(-63))\/((-3)\/(-2)). What is the biggest value in t, k, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.3? (a) -0.2 (b) 215 (c) 4 (d) 1 (e) -5\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 18 = 2*s, -3*s - 488 = -485 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 4*x + 6*x**4 - 3*x - 3*x**4 + 11*x**2 as y*x**2 + p*x**4 + v + u*x + h*x**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (21\/(-28))\/((-1)\/12 + 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7352 = -w - 3*v - 309, -2*v = 0. Is w a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {a: 2, y: 3, b: 10, h: 2, g: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -214038217 times 0.2\nAnswer: -42807643.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 3 - 620*i**2 + 696*i**2 to the form x + z*i + s*i**2 and give s.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (460*t - 3 + 4 + 1293*t + 723*t)*(-6*t + t + 0*t) in the form p*t**2 + u*t + o and give p.\nAnswer: -12380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m + 6 - 2)*(10 - 8 - 15).\nAnswer: 13*m - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 12:35 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) - 1*sqrt(19))) + -4 - (-4 + (sqrt(19) - sqrt(38)\/sqrt(2))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 3. Let d(a) = -21*a + 16. Calculate -d(h) + 8*o(h).\nAnswer: 13*h - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + 0.4. Does y = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 474916682 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhhdduhhuhuduuu. What is prob of picking 1 u and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21333308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 5*v**4\/24 - 3*v**2\/2 + v. Let a(j) be the first derivative of x(j). Let o(d) = 2*d**2. Give a(o(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31773.\nAnswer: 3, 7, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 11:52 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 958\/(-1)*(-1)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4898 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 2 - 3*v - 5*v - 7. Calculate the remainder when n(-6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776645162.\nAnswer: 2, 107, 3629183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:16 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 490.012 + -0.012. Let y = j + -489.9. Let u = -0.4 + 0.3. What is the third biggest value in u, 0.14, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/7, 31, -1.1.\nAnswer: -4, -1.1, 3\/7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 437334881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - m**2 - 70*m - 19. What is g(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - d)*(-2*d**2 + 3*d**2 - 2*d**2) - d**3 + 9*d**3 - 7*d**3 - 4*d**3 - 4*d + 4*d in the form t + r*d**2 + y*d + h*d**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7166.6 - 6731. What is k rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 bigger than 1206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 16 = -4*x - 2*v, -3*x + 2*v = -10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/26 - (-3609)\/117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) -2\/55 (b) -0.4 (c) 0.2 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54065 by 3.\nAnswer: 54065\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by -4?\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -39. Put q, -1, 2 in descending order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 (base 10) in base 2?\nAnswer: 11110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(85)\/sqrt(5) + 4.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*h + 4 = -64*h - 5*o, -10 = -5*h + 2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1 - 7) + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**4 - 13*d + 3. Let w(r) = -r**4 - r + 1. Let u(x) = -a(x) + 3*w(x). What is the second derivative of u(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 4:26 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 10:50 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25d6d (base 16) to base 4\nAnswer: -211311231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 723644545 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/75 - 13*f**4\/30 + 24*f**3\/5 - 115*f**2. Determine g so that z(g) = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bllt when four letters picked without replacement from lblllllllltblllllllb?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22606 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1204.\nAnswer: 1\/1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5074 divided by 59?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007599417 + 0.1284.\nAnswer: 0.135999417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 39. Let b be ((8\/(-1))\/t)\/(-3 + 5). Solve -5*m - 2*k = k - 11, -k = -m - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 2*q + 2*q. Let i = -9 - -13. Suppose i*l - z = 22, -4 = 3*z - z. What is the lowest common multiple of q and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85339 is divided by 75?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**4\/4 - 215*t**3\/4 + 54*t**2 = 0 for t.\nAnswer: -216, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 10. Give k(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1061*86.\nAnswer: -91246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - 17762\/(-6). Suppose 0 = -6*g + 5698 + k. Does 39 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d**2 - 2*d - 5. Let i be u(0). Let j(n) = n**2 + 6*n + 1. Let h be j(-6). Sort i, h, 4.\nAnswer: i, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000747 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127426 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 41. Suppose n*j + 13 = 5. Let z(x) = -24*x - 7. List the prime factors of z(j).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*w + 2*l = 107*w - 56, -5*w = -4*l - 138 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - o**2 - 12*o**3 - 4*o - 184*o**4 + 185*o**4 to q*o**3 + g*o + w*o**2 + z*o**4 + p and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -51. Let a = -1.83 - -1.83. What is the second smallest value in a, -5, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3460 = u + 5*w, 0 = -3*u + 18*w - 31*w + 10388. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 45, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141405*o - 8360 = -1141310*o for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996 greater than or equal to 1995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -1\/24*q**4 + 0*q**3 - 1\/720*q**6 - q**2 + 0*q + 0 + 1\/120*q**5. Let p(n) be the second derivative of c(n). Calculate p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -166, -376, -748, -1336, -2194?\nAnswer: -3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 84273921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11520*l**2 + 23049*l**2 - 11532*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 262743659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6104.964nm?\nAnswer: 6.104964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*u + 46*u + 22. Calculate the highest common divisor of u and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64244?\nAnswer: 2, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6234 - -57530\/9. Let v = 158 - c. Suppose -2*t = -3*t + 3. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 5*a + 5. Let g be t(-6). Let u be (80\/25)\/(g\/(-5)). Suppose -5*n + u = -n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**3 + 4*x**2 + 141*x + 642. Let u(q) = 26*q**3 + 17*q**2 + 564*q + 2568. Let i(n) = 4*u(n) - 17*v(n). Find the first derivative of i(o) wrt o.\nAnswer: 6*o**2 - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100.4173 - 0.4173. What is the nearest to i in 1\/3, 0.5, -10, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78165 divided by 86?\nAnswer: 78165\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n - 191 - 16*n - 13*n + 79*n - 24*n.\nAnswer: 2*n - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639408 plus -0.28?\nAnswer: -1639408.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33978.87 nanometers in micrometers?\nAnswer: 33.97887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695844195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40715290 a multiple of 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqwwwqqqqqqwqqq. What is prob of sequence wqq?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/61 and 19\/38013.\nAnswer: 2318793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 11*s - 6*s + 9 = 0, -4*z = s + 48. Let l(a) = -a**2 - 11*a + 12. What is l(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + -16 + (89 - 38 - 99).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/122938088 and -69\/104.\nAnswer: 122938088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -15422 smaller than -15482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 204, 219, 230, 237?\n\"Answer: -2*w**2 + 21*w + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n. Let z be (-28)\/(-10)*30\/12. Let o(j) = -3 + 3 + 21*j - 60*j. Let g(y) = -13*y. Let t(a) = z*g(a) - 2*o(a). What is t(k(i))?\nAnswer: 52*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 9*o - 26*o = i, 0 = 4*i - o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -713 divided by -1734999?\nAnswer: 713\/1734999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 2, j: 1, r: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 652 + -1071. Let x = -288 - f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnff. Give prob of sequence nnf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/99 in -1, 0.3, -2\/421, 3, -2\/3?\nAnswer: -2\/421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*z + 896 - 811 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -23\/3418899?\nAnswer: -23\/3418899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 8. Suppose -10 = 2*v - 32. Solve 0 = 4*x - h*g - 10, 4*x + g = 4*g + v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5 - 5*c**2 + c**2 + 3*c**2 - 8*c + 0*c**2. List the prime factors of q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 5*v + 5. Let g(w) = w**2 + 4*w + 13. Let y be g(-6). Let r(k) = -3*k - y + 22 + 2*k**2 + 0*k**2. Determine 4*h(b) + 7*r(b).\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*m - p, 4*m + 2 = 3*p - 5. Let n(t) be the second derivative of -t**5\/20 - 5*t**4\/6 - 3*t**3\/2 - t**2\/2 - 3*t. Let g be n(-9). Is m equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-1) - (-248)\/32. Let 0 + 3\/2*g + 21\/4*g**4 - 21\/4*g**2 + 9\/4*g**3 - p*g**5 = 0. What is g?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.85283 millennia in decades?\nAnswer: 3285.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160832576 to the power of 1\/3, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7\/(-3) + (-26 - -27)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - k + 57684, -c + 3289 + 11115 = -4*k. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Let f = -109.5 + 110.5. Which is the smallest value? (a) s (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 60*r**2 - r + 1. Is g(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from iniiiddndddni?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 812\/9 + -90. Let d = -22.13 - -20.13. Let k = -4.88 - 0.12. What is the closest to d in -1\/6, k, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2735 - 425 = 158*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493950 is divided by 65922.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2692367251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716897055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-228)\/21 - 0)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o**2 + 2*o - 1. Suppose q + 701 = 2*d, 5*d + 2*q + 915 = 2681. Let t = d + -351. Calculate i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12147 + 5 + -35 + 53. Which is smaller: -12123 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -21*p + 66. Let a be r(3). Solve 5*u - a*x = 5, -4 + 2 = -3*u + 2*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110011010100111011100 (base 2) in base 16?\nAnswer: -39a9dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 354, 586, 862, 1194?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840602?\nAnswer: 2, 3, 37, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -11. Let n(j) = 5 - x + j. Let v = -14 + 9. Give n(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 + -69)\/7)\/(16\/(-32))*1\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.91 * -215.\nAnswer: 195.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30051898*n**6 + 2439375*n**2 - 2 wrt n?\nAnswer: -3606227760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 4 (c) -2 (d) -1\/435\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 + 8*l - 121. Let n(q) = -2*q**2 - 3*q + 41. What is -8*n(s) - 3*x(s)?\nAnswer: s**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25089 divided by -3\nAnswer: 8363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 223912470 or 223912471?\nAnswer: 223912471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -16 (b) 3\/5 (c) 2\/9 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 205672342?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/3 + 4*n**2 + 14*n + 6005. Determine s(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 6*y**2 + 7*y - 8. Let w be p(7). Let t be (w\/24)\/(11\/(-6)). Let u = -0.3 + 0.1. Sort -0.1, u, t.\nAnswer: u, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7463 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -171*p - 376. What is the units digit of y(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2413*g**2 - 67556*g + 74. Calculate z(28).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - r - 468 = -29, 356 = 4*v - 2*r. Let k = v + -75. What is the third derivative of 32*p**5 - 15*p**5 - 17*p**5 + 19*p**6 + k*p**2 wrt p?\nAnswer: 2280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 31 = 4*o - 3*c, -4*c = 2*o + 4. Let f = -6.6168 + 6.2168. What is the smallest value in f, o, -0.03, 0.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4372, -4813, -5254, -5695, -6136?\n\"Answer: -441*o - 3931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/8)*c\/c**(4\/9)*c*c**(-8)*c**9 assuming c is positive.\nAnswer: c**(175\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 4*r**5\/5 + 116*r**4 - 4*r**3\/3 - 232*r**2 - 2329. Find j such that i(j) = 0.\nAnswer: -116, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(5*o**2 - 3*o**2 - o**2) + (2*o**2 - 2*o**2 + o**2)*(-3 + 2 - 1).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10119146 = q + 8080863, -u - 90999997 = 5*q. Round q to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 11240?\nAnswer: 11240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**5\/10 + i**4\/12 - 5*i. Let f(d) = -d**2 - d + 1. Give -f(j) - n(j).\nAnswer: -2*j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 6438222.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.98 + 0.02. Let z be (-9)\/2*(-8)\/4. Let m be (z\/(-66))\/((-3)\/4). What is the third smallest value in m, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 53*y**2 - 291*y + 66. Give s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, 2, -83.\nAnswer: -219, -83, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*f - f + 10*f)*((3*f + 2*f - 6*f)*(-4 + 3 + 3) - 7*f - 6*f + 11*f + (-5 + 2*f + 5)*(2 + 2 - 2) - 10 + 10 + 5*f).\nAnswer: -170*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s**2 + 14 + 17 + 2*s**3 - 3*s**3 + 16*s. Let g be ((-54)\/8)\/9*1456\/(-84). What is the tens digit of o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10\/11, 4, -4\/7, -1.6 in ascending order.\nAnswer: -1.6, -4\/7, 10\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 - -148. Is -5\/12 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6977?\nAnswer: 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 0*q + 4. Suppose 2*l - 9 = -1. Let z = q + l. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7)*i**(-12\/7))**(-40))**(-2\/3) assuming i is positive.\nAnswer: i**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 28*c + 11*c + 13*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -8) + (6 - (-2 + 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -103190397 greater than or equal to -103190396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*y + 11197 = 445*y + 6065 - 11788 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + sqrt(95)*3)\/sqrt(5) + (sqrt(1539) + 3)**2.\nAnswer: 59*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144\/139 + -42227\/41700. Let l(d) be the third derivative of -1\/525*d**7 - 11\/150*d**5 + 31*d**2 + 0*d**3 - 1\/12*d**4 - f*d**6 + 0*d + 0. Factor l(u).\nAnswer: -2*u*(u + 1)**2*(u + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/2)\/((-90)\/(-120)). Let r be (-7)\/((-420)\/(-8)) + 34\/m. What is the highest common divisor of r and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1157 and -7.8.\nAnswer: -1164.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1579, 6307, 14195, 25249, 39475, 56879, 77467?\n\"Answer: a**3 + 1574*a**2 - a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**3 - u**2 + u. Let n be b(3). Suppose -2*p = -c - n + 24, p = -5*c + 85. Let t = 69 + p. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/7 + 39752086*c\/7 - 79504164\/7 = 0.\nAnswer: 2, 19876041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7514 divide 211591392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 2*z - 4*z. Suppose 0 = -3*t + z + 116. What are the prime factors of t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Suppose 7*n - 9*n = 0. Let a = -8 + 12. What is the closest to k in 5, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 97.\nAnswer: 140\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 295 + -23. What is the least common multiple of 4 and l?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4)\/z)**8)**36 assuming z is positive.\nAnswer: z**(-1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 385285057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 - -396. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-10 - -16) + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 673248 + 1108117 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20714 is divided by 2024.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-1 - -5))\/(-1) - -344.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 6*d + 3*d)*(3 - 5 + 4) + 11 - 4*d - 11 + (3*d - d - 7*d)*(4 - 2 - 1) to u + f*d and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9538*w*z**2 + w*z - 74*z + 5 wrt z?\nAnswer: -19076*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102\/13 - -8. Let z be ((-10)\/12)\/(12\/36). Which is the nearest to 2? (a) h (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2121*g - 156*g - 160*g - 1800*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/28)\/1)\/((-1498)\/80892).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -402\/12341 - 4\/287. Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*u + 148, -460 = -4*x + 5*u + 141. Let o = x - 159. Put o, 5, 1, -44 in increasing order.\nAnswer: -44, o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -57*p - 571. Let v(d) = 28*d + 240. Determine -2*l(t) - 5*v(t).\nAnswer: -26*t - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 9*v**2 + v + 14. Let o = -50 + 52. Let x(l) = -5*l + 1. Let r be x(o). Let t be k(r). Solve 2*h + p = -t, -p - 2 + 4 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607015093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -106. Let d = 54 - s. Let c = -22.986 + d. Round c to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83316 = 285*x - 139478 - 170128. What is the greatest common factor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Let x(b) = -6 - b**3 + b + 2*b**3 - b**2 - 4*b + 15 + 2*b. What is x(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(3\/5)*r)**(-15\/4)*r**3\/(r\/(r*r**10)) assuming r is positive.\nAnswer: r**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -176, -341, -506, -671, -836, -1001?\n\"Answer: -165*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.15 - 5.767. Let h = -0.383 + a. Which is bigger: 0.157 or h?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 100 = -2*o. Let h be 164\/o + (-6)\/15. Differentiate 5 - 6 - 5 + h*l**4 with respect to l.\nAnswer: 64*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*(b*b**5)\/b*b*b*b)\/((b*b*b*(b\/b**(-1))\/b)\/b**(2\/7)) assuming b is positive.\nAnswer: b**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2633851.6 rounded to the nearest 10000?\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 502*k**3 + 2*k**2 + 2870 wrt k.\nAnswer: 1506*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 708*d.\nAnswer: -4*d*(d + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + 1 - 4*m**2 + 31*m**3 + 40*m**3 + 10*m**2 + 1 - 70*m**3 to the form y*m**2 + u*m + o*m**3 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g. Let a(r) = 6*r - 8*r - 17 + 7. Let o(z) = z + 4. Let q(m) = 2*a(m) + 5*o(m). Determine h(q(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 772105*r + 772105*r - 97*r**2 - r**3 to n*r**3 + a + i*r + o*r**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2\/3 + 418*k\/3 - 2140\/3 = 0?\nAnswer: -214, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.115ml to litres.\nAnswer: 0.460115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 198 + 2398 = 2*c, -2*x = -10. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k\/k**(-1\/7))**(-38) assuming k is positive.\nAnswer: k**(1824\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*f + 17, -5*s - f = -1024 + 1002 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f\/(f\/(f\/f**(-1\/3))))\/f)\/f)**(-48) assuming f is positive.\nAnswer: f**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -137855*l**4 + 2*l**3 + 37833*l wrt l?\nAnswer: -1654260*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 120 (b) -0.5 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2 - 3*m - 5 + 0*m + 13. Suppose -2*c - 10 = -18. Let z(a) = -5*a + 13. Let r(j) = c*z(j) - 7*x(j). Give r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5551173 (base 11) to base 5.\nAnswer: -4443102142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222449 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.479203 to one dp.\nAnswer: -87.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 134.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by -134.\nAnswer: -150\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1840.569 take away 210?\nAnswer: -2050.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 34, 58, 82, 100?\n\"Answer: -m**3 + 9*m**2 - 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*3*(-20)\/9*3789\/(-2526)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 10*o**2 + 8*o + 2. Let z be p(9). Let a(j) = -j**2 - 11*j - 6. What is the units digit of a(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m - 116. Let j(d) = 7*d - 42. Let a(r) = 11*j(r) - 4*p(r). Let v(f) = f + 3. Give 7*a(q) - 3*v(q).\nAnswer: 4*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/((-7)\/2))\/(20\/15). Let m(l) = -l - 10. Let s be m(-11). Is s at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, 1\/5, -3, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2. Let o(k) be the first derivative of -3*k**2\/2 - 8. Give l(o(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -436933\/2 + 218469. Factor k*s**3 + 0 - 65*s**2 + 0*s.\nAnswer: 5*s**2*(s - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - (-5 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(239\/956).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:05 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 46738.\nAnswer: 1168450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1458 (base 10) to base 5\nAnswer: -21313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5367 - 5367 + 8*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*g**2*r**4 + 31*g**2*r**3 - g**2*r + 25*g**2 - 11*g*r**2 + 20*g*r - 2*r**4 wrt r?\nAnswer: 3384*g**2*r + 186*g**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -1\/2 (c) -10\/3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 226 - -39. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-30)*-12*-5. Let p be (-1)\/(-3) + g*(-10)\/(-45). Which is greater: p or -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - 464\/560?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*v - 122 - 293 = -32*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 - -0.05. Let t = -59 + 58. Let u = -11 - -7. Which is the nearest to y? (a) t (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -170*x**4 + 7*x**3 + 3*x + 4751.\nAnswer: -680*x**3 + 21*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/8)\/((-54)\/252*-7)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31\/(-14) + -15 + 17. Which is greater: -1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p + 488. Let i be v(35). Let d(n) = -n**2 - 6*n - 1. Let w(t) = -t**3 - t**2. Let l(u) = d(u) - w(u). Let m be l(i). Solve -f - 1 = -m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-9)*3 - -1. Let x = 5 + u. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*d + 282*d + 49 = -383 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -1, -3218, 1\/7, 1, 169, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*l - 80*l - 2214. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/3 (b) 1\/2 (c) 3112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1081 + -23?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 29*c**2 + 12*c + 20. Let q be s(-10). Suppose 15*y - 24 - 1476 = 0. What is the greatest common divisor of y and q?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1820)\/(-78)*3\/2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165550714*c**4 + 528980657*c**2?\nAnswer: 3973217136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 432.\nAnswer: 431.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -45. Let g be 1644\/(-15) + 3\/(i\/(-4)). Put g, 5, 2 in descending order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/55)\/(13\/5). What is the nearest to -0.2 in 1\/4, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (306\/952)\/(((-48)\/(-28))\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s**3 - 2*s**2 + s + 2. Let j be i(-1). Does 8 divide (-4)\/j - (1 - (-118)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 17, 30, 43?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 38\/1249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 130 = -49. Suppose -b + m = -57. What is the highest common factor of b and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1202 and -44.578.\nAnswer: -44.4578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -3098.\nAnswer: -3098.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.6404 minutes in hours?\nAnswer: 5.52734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18)*((-304)\/160 - -19)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -2266, -6060, -11376, -18214, -26574?\nAnswer: -36456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -y, 5*x - 10 = -0*x - 4*y. Determine k, given that 22*k - 3*k**x - 79*k - 26*k**2 + 26*k**2 = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {f: 1, c: 2, y: 2, w: 7, q: 7}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*x = 68, 32*h - 36*h + 138 = 5*x. Suppose 565 + 177 = 7*m. Calculate the remainder when m is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 250 + 25?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.045, -5, 0, -2\/29?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 2*y = -10*y + 2800. Calculate the smallest common multiple of y and 2304.\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.4 (c) 91 (d) -213.1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2798 is divided by 706.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v - 2*v + 0*v. Let j(i) = i**3 - 7*i**2 - i + 3. Let s be j(7). Let d(u) = -4*u. Let m(b) = s*h(b) - 6*d(b). Let c(p) = -2*p**2. Determine c(m(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 5614?\nAnswer: 5614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14722*k**2 + 6399*k**2 + 8325*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3207365 years?\nAnswer: 0.003207365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*i**2\/11 + 31288*i\/11 + 31562\/11 = 0.\nAnswer: -1, 15781\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxxq when four letters picked without replacement from gixiigiqqxiig.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5883 + -116006?\nAnswer: -110123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/16)\/(174\/(-116)). Let x = -47938\/729 + -14\/729. Let q = x + 66. Sort i, q, 3 in increasing order.\nAnswer: i, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.72 + 1.28. Let x = 1.9 - 2. Let z = -1.3 - 1.7. Which is the smallest value? (a) z (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o**4 + 2*o**2 + 42*o + 6. Let l(r) = -20*r**4 + 5*r**2 + 125*r + 17. Let m(a) = 6*l(a) - 17*y(a). What is the second derivative of m(q) wrt q?\nAnswer: -12*q**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14487 and 72699.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*h - 627*t + 629*t + 101, -2*t = 5*h - 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99715 - 47618. What are the prime factors of d?\nAnswer: 59, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12828, -8661, -4494, -327, 3840, 8007?\n\"Answer: 4167*s - 16995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/8)\/(6\/264).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*j**3 + 3*j**2*m**3 + 1490*m**3 wrt j.\nAnswer: -183*j**2 + 6*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 + 32*k**3)*(0*k - 2*k + k) + 4*k**2 - 4*k**2 - 2*k**4.\nAnswer: -34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184779 and 112014.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7596, -7804, -8036, -8304, -8620?\nAnswer: -8996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 904, 1808, 2708, 3604, 4496, 5384?\n\"Answer: -2*x**2 + 910*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 1 (c) 34 (d) 1\/7 (e) -2\/59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 12 = 7*h. Suppose -h + 339 = 5*y. List the prime factors of y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5268249.\nAnswer: 3, 7, 17, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 divided by -4.\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13, 5, -41 in ascending order.\nAnswer: -41, -13, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/4 - l**3\/3 - l**2\/2 - 3*l - 21. Suppose -6*c - 15*c = 63. What is x(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-77)\/770)\/(((-3)\/4)\/((-3)\/(-2)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -5, -2, 0, 2 in decreasing order.\nAnswer: 2, 0, -2, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 24 (b) -4\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1227 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6537, 14186, 22959, 32868, 43925, 56142, 69531?\nAnswer: 84104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.058 + 0.222. Let y = 5037434.7199961 - 5037435. Let h = y + l. Round h to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -1\/6*b**4 + 0 + b + 0*b**3 + 0*b**2. Let l(x) be the third derivative of -x**5\/60 + 6*x**2. What is l(g(c))?\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 895975, 1792164, 2688353, 3584542, 4480731, 5376920?\n\"Answer: 896189*p - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, -630615 in increasing order.\nAnswer: -630615, -1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11524.17639 rounded to the nearest 10?\nAnswer: -11520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49653 and 6074217?\nAnswer: 18222651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/19 - 3986336*z\/19 + 1986359338112\/19 = 0. What is z?\nAnswer: 996584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.56 + 2.955. Let m = h - 0.503. What is m rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 665530054 + -13?\nAnswer: 665530041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + -4*(-3*sqrt(343) + sqrt(343)) - (sqrt(343)*-4 + -3)*4)**2.\nAnswer: 3696*sqrt(7) + 197693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - -2)\/(1\/(-4)). Let o be (-11)\/(c\/24)*1\/2. Solve o*d = 5 - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 2*c - 91 + 87, -31*c + 62 = 2*k - 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588000 rounded to the nearest ten thousand?\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1196 - 1194. Let n(a) = 5*a + 6. Let y(b) = -4*b - 5. Let z(q) = -5*n(q) - 6*y(q). Let t(o) = 1. Calculate r*z(h) + t(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n - 1160. Is 9 a factor of ((-18)\/12)\/(3\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76804774 to the power of 1\/2, to the nearest integer?\nAnswer: 8764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28634 times 9.667\nAnswer: 276804.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -497034020+-6\nAnswer: -497034026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/33)\/((-19)\/57))\/(5640\/(-80))?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58 + -4783720290638.\nAnswer: -4783720290637.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17775, 35555, 53333, 71109?\n\"Answer: -v**2 + 17783*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 9*g - 6. Let n be (-1 + 10)*3\/(-3). Let q be p(n). What is the lowest common multiple of 8 and ((-3)\/(-2))\/(q\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1629*h**3 + 87*h**5 + 1629*h**3 + (h**2 - 2*h**2 + 0*h**2)*(h**2 - h**2 - 2*h**3).\nAnswer: 89*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2 + 5*a. Let r be w(1). Let y be 2\/(1\/(-10)*4). Sort y, -13, 0, r.\nAnswer: -13, y, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 - 146. What is the nearest to l in -0.5, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 2, -9, 3\/5, 0 in increasing order.\nAnswer: -97, -9, 0, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -52. Let j = -423.4 + 423.4. Which is the fourth smallest value? (a) -1\/3 (b) -0.1 (c) j (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 390 - 126. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/17 + 14*v**2\/17 + 2*v\/17 - 14\/17 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*y + 116 = -59*y. Let b(m) be the second derivative of m + 1\/2*m**y + 0. Let u(d) = -2*d + 7. Give -6*b(f) + u(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 31*g + 23*g + 4 + 0*g**2 - 6*g**2 - g**3. Let k be u(-8). Is ((-62)\/8)\/(15\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (9 - 0)) + 12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 11*f**2 - 6*f - 4. Calculate d(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 8) in base 7?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198506, 198502, 198488, 198458, 198406, 198326?\nAnswer: 198212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8790 divided by 30\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 + 192*p**2\/7 - 372*p\/7 + 184\/7.\nAnswer: -4*(p - 46)*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = l - 5*j, -j - 1 + 6 = 5*l. Let w(c) = 4*c**2 + 2*c**2 - c - 14*c**l + c. Let f(k) = -20*k. What is w(f(p))?\nAnswer: -3200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (39\/(-429) + 445\/110*2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 32 = -395. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*d - 8, 9*d - 15 = -m + 6. Solve 10 = n - 3*l, 3*l - 7 = d*n - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*c - 15, 3*c + 166352 = 4*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 18 = 3*v - 4, v = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*h + 5 = 0, l - 9 = -5*h - 0. Let m = -91 + 91. Suppose t - u + 6 = -3*u, 4*t + 5*u + 9 = m. Solve -a - l*i = 4, t*a + 20 = -a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1 - 4. Let i be (-1)\/(d\/(-82 + 1)). Suppose -r + 13 = -2*b, 2*b = 4*r + i - 85. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6778*s**2 - 20333*s + 6. Calculate q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l + 24*l + 7 = 2*m, -5 + 54 = -15*l + 2*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.08. Which is the closest to -1? (a) n (b) -4\/5 (c) -2\/5 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7573793 rounded to the nearest ten thousand?\nAnswer: 7570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64453.\nAnswer: 64453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3}. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-103)\/((-5356)\/43998968) - (-2 - (2 - 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 17*z + 59. Let h be t(15). What is the third derivative of 10*s**2 - 2259*s**4 + 2253*s**4 + h*s**2 wrt s?\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.663 + 63.563. Let o = x - -13.1. Let z = o + -79. Put z, 0.2, -1, 20\/9 in descending order.\nAnswer: 20\/9, 0.2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 1, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = 2*c. What is the least common multiple of c and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 388261 and 463307?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -28, -57, -106, -181, -288, -433?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 - ((-24 - -1) + 12 + -23 + 19)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*d + 70*d - 286*d to the form o*d + z and give o.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -559416\/5 and -111883 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 21 = y + 8, -6 = -n. Which is the closest to y? (a) -5 (b) -2 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) + (sqrt(294) - 6*(sqrt(294) - sqrt(294)*2 - sqrt(294))))\/(2*sqrt(12)\/sqrt(2)))\/(-6*sqrt(63)\/(sqrt(441)*1)).\nAnswer: -49*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**5\/35 - 3*d**4\/28 + 2*d**2\/7 - 111. Factor p(i).\nAnswer: i*(i - 2)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6237 and 101\/2754.\nAnswer: 212058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmmkkkkkkm. Give prob of sequence mm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -436, -2650, -6350, -11518, -18136, -26186, -35650, -46510?\n\"Answer: 3*o**3 - 761*o**2 + 48*o + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1622*a**2 + 9182*a**2 - 10023*a + 1 + 10023*a - 1)*(1 - 1 + 2) to h + q*a + b*a**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 10*w**2 + 15*w - 5. Let r be t(11). Suppose -r = -4*k + 233. Suppose 3*u - m - k = 58, -2*m = 0. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f = 0. Suppose -3*r + 5 = 4*b - 5*b, 4*b = -5*r + 31. Solve b*z - z = f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 10. Let n be p(-2). Let r be -24 + (-5 - -12) + n. Let b be 2\/5 + (-224)\/10. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87.3 or -6641\/3?\nAnswer: -6641\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**3 - 4*a - 6. Let d(i) = -10*i**3 + 5*i + 5. Let y(c) = 4*d(c) + 5*h(c). Differentiate y(b) with respect to b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**1*g))**(-1\/13)\/(g\/g**6)**(2\/15) assuming g is positive.\nAnswer: g**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 160. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13348, 14129, 14908, 15685, 16460, 17233, 18004?\n\"Answer: -g**2 + 784*g + 12565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*q**3 - 38 + q + 11 + q.\nAnswer: -45*q**3 + 2*q - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0, 3\/197, -1\/3, -1, 7 in descending order.\nAnswer: 7, 1\/3, 3\/197, 0, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Let t(a) = -7*a. Let s(x) = 9*l(x) - 4*t(x). Let d(z) = 528*z + 13. Let i(y) = -1264*y - 32. Let f(k) = -12*d(k) - 5*i(k). Calculate f(s(b)).\nAnswer: -16*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 7 - 2 = 2*r, -3*t = -2*r - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let j = -412.7 - -396. Let q = -16.2 - j. What is the closest to w in -0.2, -5, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 + 2*z - 3. Let p(b) = 29*b**2 + 8*b - 13. Let m(s) = -2*p(s) + 9*v(s). Calculate m(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162403 is divided by 382.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-9))\/l**3)**(-44)*(l**0)**27*(l**0)**40 assuming l is positive.\nAnswer: l**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4288 divided by 360.\nAnswer: -536\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3\/5 - 82660*l**2 = 0 for l.\nAnswer: -103325, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (60\/(-70))\/((-6)\/28). Let r be (-2)\/2 + (-2)\/(18\/27). Put r, -1, -3, m in decreasing order.\nAnswer: m, -1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + c + 45*c - 2.\nAnswer: 46*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 708447 and 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1911.1 + 1911. Which is the fifth smallest value? (a) 3 (b) r (c) 0.5 (d) 5 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 1505*u - 251795. Calculate s(192).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g - 88 = -2238. Calculate the highest common factor of g and 4214.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:23 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 4, k: 5}. Give prob of picking 1 k and 3 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12967, -12934, -12823, -12592, -12199?\n\"Answer: 7*l**3 - 3*l**2 - 7*l - 12964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 17*y**3 - 3*y**2 - 13*y - 9. What is z(-2)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 4, r: 7, j: 6, u: 1}. Give prob of sequence rjn.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 82. Calculate n(-11).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-24)*-3)\/(139\/556)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/239 + 21479\/4302. Let g = 50823\/11810 + -4\/1181. Calculate the common denominator of g and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**5\/5 + 27*o**4\/5 + 141*o**3\/5 + 189*o**2\/5 + 78*o\/5 = 0.\nAnswer: -2, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 2*g**2 + g + 2. Let s be a(-2). Suppose -2*c = 5*p - c - 14, s = p + 3*c. Let q be (p\/(-9))\/(4\/(-12)). Which is greater: q or 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 419*b**2 - 33*b + 1. What is j(-1)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.4. Let v = -0.46 - 0.14. Let j = v - 4.4. What is the second smallest value in -1, x, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 0)*121\/33. Let g(q) = -q**3 - 10*q**2 + 8*q - 15. Let w be g(h). Let k = w + -8. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -1. Let q(t) = t**2 + 4*t + 4. Let w be q(-5). Let y(s) = 4*s**3 + w*s**3 - 2 - s**2 + 2*s + 1. What is y(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 710, 562, 316, -28, -470?\n\"Answer: -49*k**2 - k + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 10*o + 10. Suppose 16 = 4*s - 20. Let a be k(s). Let v(f) = 4*f**2. What is the units digit of v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 - 12*o - 42. Calculate n(-4).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 26. Suppose 0*p = w*p + 15. What is the closest to 0.1 in p, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -h + 283, -3*t - 348 + 1107 = 3*h. Let c = h - 104. Suppose -c = -u - 71. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(-16999 - 4*l + 6*l + 18490) in the form y + x*l and give y.\nAnswer: -2982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2922228.3 months in years?\nAnswer: 243519.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (-1 + sqrt(1100) - sqrt(1100)) + (((-2*sqrt(88) - sqrt(88))*-6 - sqrt(88)) + sqrt(88) - sqrt(88))\/(-5*-1*sqrt(8)) + 3.\nAnswer: 7 + 17*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 5*w + 1. Determine z(-5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -5 + 5 - 4 - -25).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47747176?\nAnswer: 2, 179, 33343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + a - 5, 6*g - 32 + 5 = a. Let j = -1.22 - -203.22. What is the nearest to -0.1 in j, 0.1, g, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 8. Let t be ((-49)\/14)\/(3*1\/(-6)). Give w(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(143)\/(sqrt(11) + sqrt(11) + sqrt(11) + sqrt(99)*-2) - (sqrt(468) - (sqrt(468) - (6*sqrt(468)*4)**2))).\nAnswer: -1078267 - 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (-2)\/1)*-3. Solve 2 = -5*d + n*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008311 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(468) - sqrt(468)) + -1).\nAnswer: -5 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 674*g - 49532. Calculate r(-62).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 53*k + 594. Let g be b(-11). Sort g, -2, 2.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/20444304 and -77\/8.\nAnswer: 20444304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817405159 to the power of 1\/2, to the nearest integer?\nAnswer: 61785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f + 6. Let w be t(-3). Calculate the highest common divisor of 135 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-22)*n**(-4\/5)*n**(-3\/7))**(1\/2) assuming n is positive.\nAnswer: n**(727\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*w = t - 41, -t = 5*w + 3. Let y be (-18)\/t + 2 + -1. Is -1 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-450)\/120*4\/18.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 + 6006*g - 9000 = 0.\nAnswer: 3\/2, 1500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h**2 + 13. Let k(q) = 24*q**2 + 28. Determine -6*k(a) + 13*n(a).\nAnswer: 12*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358125 by 15.\nAnswer: 23875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 280 + -282. Let v = -3 + 2.6. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 11660. Let m = 46727\/8 - n. Calculate the common denominator of -56\/5 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.27 and -0.299.\nAnswer: -0.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:30 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 14*j - 16. Let m be y(9). Let h(d) = d + 13. Let n be h(17). Is m != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11.63 in 0.195, 2\/27, -1\/4?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 0, -49.07504?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*u - 135, 18509*v - 18502*v - 4*u = -261 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0539, 2, 5, -2\/11, 2.5, 1\/9 in decreasing order.\nAnswer: 5, 2.5, 2, 1\/9, 0.0539, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1472262 - -2?\nAnswer: 1472264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0422 (b) 1\/4 (c) 0.011 (d) -75 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-216)\/102 + -8\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 45. Suppose 12*k = z*k + 9. Suppose k*n = -2*n + 165. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m**2 - 7*m - 5. Suppose 195 = -108*f + 87. What is b(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (193\/(-1930))\/((-2)\/(10\/3)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/6 - 655*z**2\/2 - 383229*z\/2 - 171421547\/6 = 0.\nAnswer: -869, -227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*c - c + 16, 0 = 5*n + 5. Suppose 0 = 5*o + 4*b - 2*b - 184, 2*o - 82 = -c*b. List the prime factors of ((-58)\/6)\/((-4)\/o).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 63 - 17 - (11 + (-12 - -5)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9928176 rounded to the nearest 100000?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*c - 31998 - 9979, -4*c = 2*n - 20996. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnpqwnpnwp. Give prob of picking 1 x, 1 q, and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*u = 10*u + 31, -3*u = -y + 21. Solve -2 + y = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.562196 rounded to 2 dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 13 = 2*f. Suppose -g + 3*j + f = 0, -5*g + 2*j = -0*j. Let n be (-42)\/(-90) - g\/(-6). Which is smaller: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - -3. Let t = 24 + -24. Suppose 3*u - 8*u + s = t. Solve -4*g + u*k + 16 = 0, 3*k + 9 + 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 - 4 = -4*h. Suppose 9*x = 2*x + 98. What is the smallest common multiple of x and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8616 - 4*v**2 + v**3 + 8613 - 26*v + 6*v**2 to m*v**3 + g*v + z + s*v**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*((-130)\/(-3))\/5. Suppose c*x - 31*x - 17787 = 0. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26038667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-12))\/(-1 + 654\/606) and (-5)\/(-3) + 1210\/(-462).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431*o**5 - 204*o wrt o.\nAnswer: 8620*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/120 - m**5\/30 + m**4\/24 + m**3\/3 + 3*m**2. Let o be y(-2). Solve -d + 0*j - 4 = 5*j, o = -4*d - 4*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/21)\/(h**(-39)*h)*(h\/h**(-4\/13)*h*h)**41)**(2\/45) assuming h is positive.\nAnswer: h**(18938\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 22. Suppose -3*o = 4*z + 17, o - 1 + 0 = 2*z. Sort h, 1, z in increasing order.\nAnswer: z, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -1193062.\nAnswer: 8351434","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 10076?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -283820389.6037.\nAnswer: -283820392.6037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -67. Let j(i) = p*i**2 - 2*i**2 - 3*i**2. Let v(m) = -21*m. What is j(v(q))?\nAnswer: -882*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 25 - 22 - 60*b**3 + 60*b - 23 + 96*b**2. Let n(j) = -j**2. Let z(d) = n(d) + r(d). Factor z(p).\nAnswer: -5*(p - 2)*(3*p + 2)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, -2, 2\/5, 29, 9\/13?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-840))\/(8\/196).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/9)*q**4)\/(q**(-7\/6))**9 assuming q is positive.\nAnswer: q**(271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. List the prime factors of 12\/4 - y - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -3.8. Let x = t - -2.6. Let d = 1.12 + -1.42. Sort 4, x, d.\nAnswer: x, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458946737 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/7 (b) -3 (c) -1 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6084.182 nanometers in meters?\nAnswer: 0.000006084182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3 = -7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254*4\/(-22)*2882\/1048?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3254252 and 0.4?\nAnswer: 1301700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 25. Suppose 4*k - 306 = -5*j, 0 = -u*j + 2*k - 5*k + 302. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllwwlllttll. What is prob of picking 2 t and 1 l?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o - 6. Let g be -1 + 0 + 375\/(-525). Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*y + 5*y - 228 = 87 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2 + 7. Suppose -2*j + 16 = 4*b, -4*j + 7*b = 3*b - 8. Solve -z - j = -m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 divided by -1112669?\nAnswer: -85\/1112669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g + 24. Let s be h(-5). What is the second derivative of s*f**3 - 46*f - 22*f + 92*f**3 - 205*f**3 wrt f?\nAnswer: -264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -308\/16917, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 12, 18?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from ulnnuqn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/544*-492 + 3\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)*b\/(b\/(b\/(b*b\/(b\/b**(2\/7))))))**(-3\/8)*((b**(-5\/6)*b*b)\/b*b*b*b\/b**(1\/5))**(4\/13) assuming b is positive.\nAnswer: b**(3467\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 + 1 + 17*o)*(-4 + 1 + 0).\nAnswer: -51*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -207353 plus 23713?\nAnswer: -183640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 7:35 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 447 + -470. Let o = s + 112. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.753 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/144)\/((-21)\/(-56))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from ckckkc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 + -90. Let i(d) = 11*d**2 - 3*d + 18. Let v be i(k). Let x = -180 + v. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11437.\nAnswer: 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: d8569 (base 14) to base 5\nAnswer: 113204213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5 + 480*w**4\/7 - 5414*w**3\/7 + 20436*w**2\/7 - 5408*w\/7 = 0. What is w?\nAnswer: 0, 2\/7, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63532 and 36304?\nAnswer: 254128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u**2 + 43*u - 236. What is the smallest common multiple of 40 and o(6)?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2256 * 0.2\nAnswer: 451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 31 - 7 - 19 - 5.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muw when three letters picked without replacement from mmmmmwwwmuwmmm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-20)\/(-30))*6. Solve -18*r + q*r = -40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*n + 16, 2*u + 0*u = 2*n + 10. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-10) + 9999\/(-505).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 57*p**2 + 4*p - 118*p**2 - 56*p**2)*(5 - 5 + 3*p).\nAnswer: -357*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/5, 2\/11, -0.15, 0.0401?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*f + 289*f + 456 = 2*s, 3*s - 3*f - 711 = 0. What is the smallest common multiple of 33 and s?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/14 + 2\/7. Suppose s - n = 15, -4*s + 40 = 4*n - 28. Let r = -14 + s. Which is the closest to z? (a) r (b) 4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(4*i - 4*i - i) + (2 - 1 - 3)*(-2*i + 2*i - 2*i) + 3*i - 2*i - 2*i - 6*i + 4 - 4 to o + d*i and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/20)\/((-4)\/(-10)*-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 0*w**3 - 22 + 14*w**3 + 9*w. Let f(y) = -7*y**3 - 4*y + 11. Let t(h) = -9*f(h) - 4*p(h). Differentiate t(o) with respect to o.\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45964*c*h**2*q**3 - 1155*c*h*q**2 - 36*c*h*q - 2*c*q - 79*h**2*q**3 + 2*h**2*q + 2*q**3 wrt h.\nAnswer: 91928*c*q**3 - 158*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/(-28))\/(180\/1260)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 571099173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -284*2\/(833 - -1). Let k = b + 2\/139. What is the biggest value in -2, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l - 9 - 10 + l + 21*l + 20.\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:15 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 27. Let l = 7 - -7. Let p be k(l). Solve -c = -1 - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a*v**4 + 3*a*v**3 + 8*a*v**2 + 2*a*v - 3*a - 26*v wrt v.\nAnswer: -60*a*v**2 + 18*a*v + 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34608 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 9. Let u be t(-13). Let w(b) = b**3 - 1. Let x be w(1). Find the third derivative of x*o**2 + 3*o**6 - 6*o**6 + u*o**2 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.22\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/(-4) - (-6)\/(-8). Solve 3 = a*b - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 1202328*n**2\/5 - 1202331*n\/5.\nAnswer: 3*n*(n - 1)*(n + 400777)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - ((-4)\/2 - -2325403). Let j = -160458692\/69 - g. Let c = 265\/3 + j. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29461638 + 2878362 = -21*v. What is v rounded to the nearest ten thousand?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4312 and -129\/8294720.\nAnswer: 91241920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9209089.\nAnswer: 9209089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*l - 7. Sort 4, 2, l, 0 in increasing order.\nAnswer: 0, l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.335 - 3.165. Let a = 4.51 - g. What is a rounded to 1 decimal place?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -280425, -280943, -281461, -281979?\n\"Answer: -518*s - 279907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -479 and 1.6.\nAnswer: -477.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 17458?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**2*u + b**2*x**3 + 24*b*u*x**5 - 9*b*x + u*x**2 wrt x.\nAnswer: 6*b**2*x + 480*b*u*x**3 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 0)**2*-6.\nAnswer: -6528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**5\/30 - 17*f**4\/12 + 19*f**3\/6 - 838*f**2. Determine q(15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1436085 kilometers?\nAnswer: 143608500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w - 41*w - 273 - 1015 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2461)\/(-963)*(-16)\/(-368)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/5 or 552524?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 8 = -1. Let g be ((-99)\/(-21) + t)*7. Solve 5*q + 3*d - d = 15, 4*q + 5*d = g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -21 + 21. Let h(c) be the third derivative of n*c**3 - 1\/10*c**5 + 0 - 1\/12*c**4 + c**2 - 1\/105*c**7 + 0*c - 1\/20*c**6. Solve h(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 31. Let h(z) = 2*z + 37. Let c be h(v). Does 29 divide ((-754)\/c)\/((3\/(-2))\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456463 divided by 11.\nAnswer: 456463\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -130*x**2 + 17904368*x + 1652712.\nAnswer: -2*(x - 137726)*(65*x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 59.9. Let t = r + 1.1. Let h = 16.1 + t. Round h to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-2))\/(1 + (-6)\/4). Put o, 1, -2 in descending order.\nAnswer: 1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -1070*n**4 - 17115*n**3 - 41650*n**2 + 195*n = 0.\nAnswer: -13, -3, 0, 1\/214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 2324?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -686 + 659 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266)\/304 - ((-157)\/(-72) + -3)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -49531787*c. Let q(k) = 33*k. Give s(q(o)).\nAnswer: -1634548971*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5117 divided by -48\nAnswer: -5117\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t, 3*z + 59*t + 68*t - 128*t = -54 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.027 at least as big as 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500447 and 4?\nAnswer: 2001788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*z**3 + 2*z + 3*z**3 - 5 + 20*z**2 - 174*z**3.\nAnswer: -274*z**3 + 20*z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12735 (base 13) to base 6\nAnswer: 422130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387.4 + 387.1. Which is the nearest to -0.11? (a) -5 (b) -0.26 (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 + 0.39. Let z be (-7)\/(-28) + (-19)\/(-4). Suppose 5*v + 0*b + z = -5*b, -v + b = 5. Sort i, v, -0.5 in descending order.\nAnswer: i, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/32630 and -127\/240.\nAnswer: 783120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 74140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 131*f**4\/4 + 249*f**3 + 1967*f**2\/4 - 183*f\/2 - 682 = 0.\nAnswer: -4, -341\/131, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-10))\/(((-16)\/20)\/(-4)). Let i = 89 - 158. Let o be (r\/(-4) - 0)\/(i\/(-736)). Solve -2*w + o = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66170989*o**3 - 60240599*o**2.\nAnswer: 397025934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.02 (b) 3\/7 (c) 3.66731\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 166171766, 166171764, 166171762, 166171760?\n\"Answer: -2*l + 166171768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339394 by -11.\nAnswer: 30854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 5)*(0 - b + 0) + (4 - 5 - 3)*(-3*b + 5 - 5) + 2*b - 3*b + 3*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.025 + -27. Let l = t - 0.025. Sort l, 3, 1, 0.07 in decreasing order.\nAnswer: 3, 1, 0.07, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 5 (c) 1\/2 (d) 3\/7 (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 13*d**2 - 3718*d + 60270. Calculate u(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-42))\/(3\/(-36)). Put 2.8, -0.9, b, 2\/3 in decreasing order.\nAnswer: 2.8, 2\/3, b, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002125041826 to 7 dps.\nAnswer: 0.0002125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:49 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 37?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 154*z**2 + 173*z + 7. Give d(78).\nAnswer: 1333","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 2*a**2 + 2. Let u be r(0). Suppose -l + 3*x - 48 = 0, -l + 3*l = -u*x - 64. Let z = 45 + l. Solve -g - 3 = 0, -2*p - z = 5*g + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = f + 2*f. Let d be f*18\/(-20)*-2. Suppose 4*r - 12 = -k, -1 = -5*k + 5*r + d. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 0. Suppose o - 1 = 3*v - 2*v, u = -2*o + 4. Is 1 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Suppose -f = -d, -c - 28 + 11 = -3*f. Let v be -3*(c\/4 - -3). What is the nearest to -2\/7 in 5, v, -5\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 151, -3, 3\/7, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -385080*t**2 + 132614*t.\nAnswer: -770160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*k - 3, -3*x + k = -4. Suppose -a - 320 = 3*a. Is 16 a factor of (0 + a)*x\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.25 + -9.3. Let q = 1.4 + b. Round q to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-390)\/54 + (75\/(-27) - -3). Does 17 divide ((-236040)\/(-49))\/6 + (-1)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**4)\/(g\/((g*g*g**(-1\/6))\/g)*g*g))\/(g*g**0\/g)**(2\/39) assuming g is positive.\nAnswer: g**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 381319*y - 1679467 wrt y?\nAnswer: 381319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -395.24 and -24.\nAnswer: 9485.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/2 - 13*t**3\/2 - 220*t**2 + 4494*t - 21168 = 0 for t.\nAnswer: -24, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsffffosofffff. Give prob of sequence fff.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 88726.\nAnswer: 1064712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22924735831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2351 - 4691 - 1077*s**2 + 2339)*(-s**2 + s**2 - 2*s**2) as z + b*s + w*s**2 + d*s**3 + r*s**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**6)\/(c*c**(-4))*(c\/(c\/((c*c**(-2\/11))\/c)))\/((c**(-4)\/c)\/c))**(-11\/9))**26 assuming c is positive.\nAnswer: c**(-364\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17073 is divided by 1313.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.889 - 0.111. Which is the biggest value? (a) v (b) 2\/33 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2 + 1 - 37*b**3 - 5 as y*b + d*b**3 + c*b**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15 - (0 - (-6)\/(-3)). Let q = -8 - i. Suppose 0 = 3*p - 0*p - q*t + 11, -3*p - t = -13. Calculate the remainder when 7 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22\/(-8) + 0 - (-35)\/10. What is the nearest to -0.1 in i, 0.3, -1, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 9*k**2 + 22*k - 8. Let d be n(11). Suppose 3*g = 6*g - 3. Let u be g + (1 - 3) + 1. Is u bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/40 and 121\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -9 (b) -1 (c) 0.3 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 - 73*h - 2*h**2 + 0*h**2.\nAnswer: 5*h**2 - 73*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Let s = -9.2 + 9.7. Which is the nearest to -1? (a) 1 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 296 = 2*w, 4*w - 2*w - 275 = -3*o. Let s = 238 - w. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005154786 rounded to five decimal places?\nAnswer: -0.00515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/(-15))*5\/(-60)*6.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/13)*m*m*m*m**(-9) assuming m is positive.\nAnswer: m**(-79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 54\/(-30) - 24\/(-30). Sort 4, r, 13, 3 in ascending order.\nAnswer: r, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w**3 + 85688*w**2 + 35293568*w - 5431808 = 0. Calculate w.\nAnswer: -824, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 33*z - 252 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/2 + 7*y**3\/2 + 8*y**2 + 6*y.\nAnswer: y*(y + 2)**2*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6466 - -11642. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 522 - 1163. Let t = n + 669.94. Let k = 0.14 - t. What is k rounded to 0 dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-6))\/11*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1692085\/32830 - 8\/196)\/(1\/(-2)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 21) + (-3 + 5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16650*f**3*v**2 - 12*f**3*v - 632*v wrt v.\nAnswer: -33300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4792 divided by 8.\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1046, 2063, 3056, 4025, 4970?\nAnswer: 5891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1955074 or -2\/131?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0, -267, -9, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Suppose -5*y = -4*y + b. Suppose 0*o = 5*o, 25 = -5*u - 2*o. Sort -1, u, y.\nAnswer: u, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1219 = -51175\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 5:19 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 75056358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, -4, 0.5, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*((1 + 0 - 3)*(-4*k + k + 2*k) - k + 4*k - k + 3*k + 2*k + 4*k)*(0 + 1 + 1).\nAnswer: 78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*v + 2381392 = -33*v. What are the prime factors of v?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1*o)**44\/(o\/(o\/o**0))**(-1\/3))**(1\/3) assuming o is positive.\nAnswer: o**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d**2 + d - 1. Determine b(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 88. Calculate the remainder when 5 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 4*b + 1. Let l be d(3). Let w be (-2 - l)\/(1\/(-1)). Let m = w - -1. Which is bigger: m or -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 3 - (2 + -130). Suppose -x = -2, 18 = -4*f + 3*x + v. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 3*s**3 - 8 + 0*s - 3*s.\nAnswer: 3*s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 162096.8 to the nearest 100.\nAnswer: 162100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k - 45. Determine l(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 34, -971972, -3 in ascending order.\nAnswer: -971972, -3, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18664?\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + 7*s**3\/3 + 9*s**2\/2 - 8*s + 4. Let a be v(8). Solve a = 2*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*y = x + 10, -y - 13 = -x. Suppose 3*z + 48 = -z. Does 16 divide (64\/z)\/((-2)\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/20 + 2934\/504\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874921289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.4000167 - -36.4. What is y rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/408 (b) 0.3 (c) -346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 3*h**2 - 11*h - 1. Let d(s) = -s**3 - 9*s**2 + 12*s + 15. Let f be d(-10). What is the smallest common multiple of 1 and i(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 2*w + k + 74, 0 = -2*w - 4*k + 10 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*d - 261120 = -652*d. Calculate the highest common divisor of 731 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 14 = 3*l, 14*l = 11*l - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntft when four letters picked without replacement from {x: 1, n: 3, t: 6, d: 3, e: 5, f: 2}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from vtobtoj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-27) - 34\/(-6). Suppose -2*r = 3*d - 4, -2*r + 9 = j*d + 1. Calculate the least common multiple of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7091453 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.87 - -0.13. Let y = 2.2 + d. Let c = 0.2 - y. What is the nearest to -0.1 in c, -0.1, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*t + 7344 = 1329*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-20)\/15*-3). Let f be 6\/14 - 100\/(-175). Which is the nearest to f? (a) -4 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/15 (b) -4\/9 (c) -0.2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/66 - (-8034)\/22 is divided by 182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -583 + 622. Calculate the remainder when y is divided by 145\/7 - 4\/(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)*l*l*l**(2\/5))\/(l*l*l\/(l\/(l\/(l*l**(-1\/6)*l*l)))*l*l**(1\/4)) assuming l is positive.\nAnswer: l**(19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 255048 and 0.2.\nAnswer: 51009.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -233, -0.117, -0.3, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426797239 to the power of 1\/3, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77998596.\nAnswer: 2, 3, 13, 79, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 139*g**2 + 4106*g - 3112. Determine c(97).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622491212 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 11*l**4\/8 - l**3\/6 + 6*l**2 - 2. Let v(w) = -w. Calculate d(v(h)).\nAnswer: -33*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100 + -1101?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let n(m) be the second derivative of m**6\/180 - m**4\/12 - m. Let y(b) be the third derivative of n(b). Calculate f(y(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4984 - 1978. Let g = k + -1746. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = 3*m + 2*c, 3*m - 4*c = -m + 312. Let b = -41 + m. Calculate the common denominator of (-318)\/(-20) - 16\/b and -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/4 + 41*u**3\/2 - 33*u**2 + 148*u. Calculate the remainder when 755 is divided by f(40).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2573 or -9?\nAnswer: 2573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(80) + 0) + (sqrt(405) + -2*sqrt(405))**2*3 + 4 + 5.\nAnswer: -12*sqrt(5) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.75 - -0.7. Let v = -0.04 - b. Let t = v + -0.0100047. What is t rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14302*r**2 - 7406*r**2 - 7687*r**2 as s + v*r**2 + l*r and give v.\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c. Let h(p) = -p**3 + 7*p**2 + p - 8. Let m be h(7). Determine x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 21 = f, -2*a + a + 7 = 2*f. Suppose -w = -2*m + 389, 398 = -3*m + a*m + 2*w. Let l be 7\/(m\/(-120)) - -4. Are l and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6913701 and 46\/69905199?\nAnswer: 629146791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116002003 + -4?\nAnswer: 116001888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -894*f**3 + f**2 - 4. Let p(m) = 3574*m**3 - 5*m**2 + 18. Give -2*p(v) - 9*u(v).\nAnswer: 898*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - r - 1 = 5, -2*c = 2*r + 6. Suppose 0 = -5*f + 4*z + 92, z - 1 = -4. Determine n, given that f*n**3 + 11*n + 1 + 6*n + 40*n**2 + c = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 4*q. Let l(a) = 5*a + 6. Let x(j) = -4*j - 5. Let f(b) = 5*l(b) + 6*x(b). Determine -3*f(i) + h(i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 16. Let d be 158\/(-13) - 2\/(-13). What is the tens digit of (-129)\/d + 2\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*q, 2*q = q + 2. Solve 3*v + 4*r + r - 6 = 0, 0 = -2*v - 3*r + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m + 17*m - 32*m + 28*m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 2502.5 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9 and -12 - 6*385\/(-143)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 8. Let u be (2 + -1)*-2*-2. Suppose 10 = -u*p - 14. Let v be h(p). What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3306.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5373823149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 1 (c) 2594 (d) 6 (e) 0 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -19*k**2 + 3*k + 7. Let s(z) = 15*z**2 - 3*z - 6. Let x(d) = 4*f(d) + 5*s(d). Let i(n) = -n**2 - 4*n - 2. Determine -4*i(a) + 5*x(a).\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let b(k) = k**2 - k. Let s(c) = 2*c**2 - 4*c + 1. Suppose 39 = -11*f - 5. Give f*b(q) + o*s(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.642 - -1.572. Let w = p + -1.6. What is w rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 4*n**2 - n + 1. Let d be b(-2). Let f be (-6920)\/(-100) - ((-1)\/d - 0). Let i = f - 25. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13245140.09 rounded to the nearest one thousand?\nAnswer: 13245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 945681852*v**3 - 945681882*v**3 + v**2.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times -259814.43?\nAnswer: 311777.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 2*t**2 - 2*t**2 + (0 - 1 + 0)*(3*t**3 + 0*t**3 - 2*t**3) - t**2 + t**2 + 2*t**3 - 32935 + 222*t**3 + 32935.\nAnswer: 221*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(8\/((-288)\/63)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 80 = -188. Calculate the greatest common factor of d and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6751*a - 2525*a + 1395 = -95803 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*t = -996. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 4*v**2 + 6*v - 2. What are the prime factors of j(4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 2. Give x(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3666444857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7.045. Let k = -1410.045 - -1415. Let h = k - w. Which is the biggest value? (a) h (b) 2\/5 (c) 0.1 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60288565 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 29*k**2 + 67*k - 28. Let l = 290 - 259. What is the remainder when w(l) is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1325 and 1925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4880647, 19522586, 43925817, 78090340, 122016155, 175703262?\n\"Answer: 4880646*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3192 - 3191. Let z(c) = 2*c + 5 + 3*c + c**2 - 1. Let t be z(-4). Is h > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -5\/34 (c) 2.77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -403.326 + 403. Let r = 0.32 + m. What is r rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) -1 (c) -2\/295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 15*t - 6. What is the tens digit of h(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/20 + n**4\/3 - n**3\/2 + 7*n**2\/2 - n. Suppose -3*q + 16 = -7*q + 4*c, -9 = q + 4*c. Give z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 17. Let j = -40 - l. Let g = 40 + j. What is the lowest common multiple of g and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 2*z - 9, -163*z = -5*a - 162*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214494 and 26.\nAnswer: 2788422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:39 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**6\/15 + i**5\/2 - i**4 - 4*i**3\/3 + 8*i**2 + 204*i + 20. Let n(h) be the first derivative of w(h). Factor n(q).\nAnswer: -2*(q - 2)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 7*i**2 + 6*i + 4. Let b be c(-8). Let t = 2 - b. Let v = -13 - t. Sort 0, v, -5.\nAnswer: -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(286)*-1 - sqrt(286)))\/(sqrt(132)\/(sqrt(36)\/sqrt(3))))\/(-3*sqrt(2)*5 + (sqrt(12)\/sqrt(6)*2 - sqrt(2))).\nAnswer: 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*a - 4472 = -610*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 4)*(4*t + 3*t - 4*t)*(56 + 330*t - 502*t + 185*t) to d + f*t + k*t**2 and give f.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/241 (b) -3\/10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -894, 4, 3 in descending order.\nAnswer: 4, 3, 2, -894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 81810376 - 4?\nAnswer: 81810372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umm when three letters picked without replacement from ummmumm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8825*r**5 - 4*r**4 - r**3 - 82*r**2 - 1198.\nAnswer: -529500*r**2 - 96*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-9)*(665\/(-28))\/((-50)\/80)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6474825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 - 6*n. Let t be c(-2). Let r be (-2 - -2) + ((-39)\/t)\/13. What is the second biggest value in -0.1, r, 0.97, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*((-90)\/(-10))\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2490560.3 to the nearest one thousand.\nAnswer: -2491000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58.6 + -47. Let k = -11.657 + t. Round k to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 6067 + 3074 + 2990.\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1771, -2024, -2413, -2938, -3599, -4396, -5329?\n\"Answer: -68*n**2 - 49*n - 1654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45225928 by -4.\nAnswer: 11306482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 4) + (7 + -8 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15710 + 15775. Suppose -4*l = -0*l - 520. What is the least common multiple of l and q?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -612, -613, -616, -621, -628, -637?\n\"Answer: -b**2 + 2*b - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 41 - 82 + 21)*(7 - 2*n + 3*n - 3) to the form w*n + k and give k.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5592)\/(-342) - (11 - 5)\/(-18). Which is smaller: t or 18?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t + 31 - 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71589930 rounded to the nearest 10000?\nAnswer: -71590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003617455669 to 6 decimal places.\nAnswer: -0.003617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (75\/((-450)\/4))\/(3\/99)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 45*y - 9. Let r(k) = k**2 - 22*k + 5. What is 3*q(o) + 5*r(o)?\nAnswer: -o**2 + 25*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 3:05 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 905556 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3461*b + 3460*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/30 + g**4\/12 + g**3\/2 + 5*g**2. What is the remainder when 42 is divided by k(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 7*y**3\/6 + 14*y**2 - 2*y. Let a(r) = 8*r + 134. Let x be a(-15). Is 13 a factor of w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 2*m**3\/3 + 1269. Let g(j) be the second derivative of j**4\/2 + j. Determine g(a(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12d9 (base 14) to base 10\nAnswer: 3327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.1 + 8. Let o = -0.02 + -0.88. Let m = x + o. Which is the closest to m? (a) 0 (b) 4\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from kddz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 26*h + 65. Give t(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.078 - 8.222. Let n = w + 3.3. Which is the second biggest value? (a) n (b) 0 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569.273 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -4, -0.2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6045 - -6378. Calculate the highest common divisor of b and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -7 + 4 + -17 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 12, 0*q - 17 = t - 5*q. Let u be (0 - 2) + (7 + -2197 - 0). What is the hundreds digit of 3\/2*(u\/12)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - v**4 + 2*v**4)*(-1 - v + 1).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -38213*-0.1\nAnswer: 3821.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.03546 + 0.03586. Let w = r + 2. What is w rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1617, 3278, 4977, 6732, 8561?\nAnswer: 10482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 2*i + 3*i + (i + 0*i + i)*(5 - 1 - 2) + 3*i + 0*i - 2*i + (4 + 0 - 5)*(0*i - 2*i - 3*i) + 3*i - i + 0*i.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 21*b + 145. Suppose 2*r = 5*r - 42. What is the remainder when w(-12) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (374 - 229 - 265) + (-6 - -1) + 0?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4440)\/160 + 26)*8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374, -1905, -6076, -14207, -27618, -47629?\nAnswer: -75560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*d**2 + 13*d**2 - 10*d**2 + 2*d - 13*d**3 - 1 to s + h*d**3 + t*d**2 + o*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 132*f - 480.\nAnswer: -3*(f - 40)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-6)*6\/(-2). Let k(g) = 13*g + 1. Let n be k(5). Does 15 divide 2\/f - n\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269*a*t**3 + a*t**2 - 19401*a - 43841*t**3 - 204*t**2 wrt t?\nAnswer: 1614*a - 263046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.505 - 0.50501302. Round c to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -128225 and -128223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 13 (c) -0.0771 (d) 0.3 (e) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = k - 4*n, -5*n + 78 = 11*k - 31 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 368, 44, 5, 8, -2 in increasing order.\nAnswer: -4, -2, 5, 8, 44, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 284696*i**2 + 1708122*i - 2562156.\nAnswer: 2*(i - 142342)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 618887.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 401120 (base 9) to base 13\nAnswer: 83b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 8 - (-1 + 18 + (-25 - -20))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1472 - 1471.5. What is the fourth smallest value in 3.4, c, 4, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 z when three letters picked without replacement from {a: 1, t: 8, z: 1, r: 2, x: 4}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -23. Suppose z + j = -3*b, -z - 39 = 4*b - 4*z. Let g be 2\/b*(-18)\/(-12). Is -0.1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:01 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 11:01 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Let y be 1\/((-126)\/(-131) + -1). Let f = -26 - y. Put -0.1, x, f in descending order.\nAnswer: f, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15574217.166 and -3?\nAnswer: 15574214.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 - 4*m**4 + 5*m**4 + (-31*m - m**2 + 31*m)*(-2*m**2 + 0*m**2 + 3*m**2) to l + c*m**3 + s*m**4 + w*m + g*m**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -397 + 174. Let t = 223 + j. Which is the closest to t? (a) 0.5 (b) -5\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let m(p) = -4*p + 2. Let q be m(-3). Let c(k) = -k**2 + 14*k - 7. Let u be c(q). Give j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-18) - (-1210)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000110110011001111000 (base 2) to base 11\nAnswer: 1345054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llm when three letters picked without replacement from {m: 1, l: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/6)*g)\/g**(-8)*(g**5)**12 assuming g is positive.\nAnswer: g**(407\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126 + -112. Let i(z) = -z**3 + 6*z**2 + z - 2. Let c be i(6). Solve -2*h + a = c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*d = d - 122, 0 = 4*q - d + 10*d - 212 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -726, -1449, -2170, -2889, -3606?\n\"Answer: w**2 - 726*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**3 - p**3 - p**3)*(-122*p + 246*p - 122*p + (-2 + 6 - 2)*(-p + 4*p - 2*p)) to y*p**3 + v + l*p**4 + c*p**2 + g*p and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575 - 210 = 91*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:43 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 93*l - 8. What is the hundreds digit of k(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/5)\/((-4)\/100). Suppose -6*s + 3*s + 4*i + 17 = 0, 0 = -4*s - i + d. Suppose -s + 9 = l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36383 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x + 33*x - x**2 - 50*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8714 - 8030. Does 36 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 507 + -499. Suppose 3*u - 10 = 3*p + y*u, -8 = 2*p + 4*u. Solve -a - 21 + 19 = p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -251*h - 49*h + 78*h - 82*h - 103*h in the form i + w*h and give w.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520620?\nAnswer: 2, 5, 76031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22213?\nAnswer: 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29240910 to the power of 1\/2, to the nearest integer?\nAnswer: 5407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 701.\nAnswer: 771.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 10. Let l be s(0). Let a be (-8)\/40 - (-2)\/l. Let m be 10\/(-18)*(-4)\/(-5). Are m and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2. Let w(c) be the second derivative of -6*c + 2\/3*c**3 + 0 + 0*c**2. Determine w(n(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 - -2.41. Let t = -2.2 + o. Which is the closest to 2? (a) -0.2 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -76988, 36 in decreasing order.\nAnswer: 49, 36, -76988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/(3\/16). Suppose 0 = -2*h - 0*d - 4*d, -5*d = 3*h - 1. What is the greatest common factor of t and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 96*b**2 - 65*b**3 + 13*b**3 + 6 + 84*b**2 - 186*b**2 + 6*b. Let g(f) = -103*f**3 - 13*f**2 + 13*f + 13. Determine 6*g(x) - 13*l(x).\nAnswer: 58*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 34, 110, 248, 466?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 352, 1553, 3556, 6361?\n\"Answer: 401*z**2 - 2*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29265 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1862928*h**4 - 2009905*h wrt h?\nAnswer: 22355136*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, t: 17}. Give prob of picking 2 t.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*w = -27*t - 2, -5501 + 5449 = t + 5*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 45 = 248*l - 251*l, 4*o = 2*l + 18 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23281573 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 288710562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1707554*d**2*l**3 + 2*d**2*l**2 - 211*d**2 - d - 561 wrt l.\nAnswer: -5122662*d**2*l**2 + 4*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2. Let c(a) be the second derivative of a**3\/3 - 17*a. Determine c(u(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 3)*(96 - 25 + 118)*(-3*l + 0*l + l).\nAnswer: -1512*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43145.37 nanoseconds to seconds.\nAnswer: 0.00004314537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/13)\/r**(2\/3)*r**(5\/3)\/r**3)**21 assuming r is positive.\nAnswer: r**(-588\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.6399034 to two decimal places.\nAnswer: 36.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 2*t - 1. Let w be d(-2). Let v = 2.8 - 3.06. Sort 4, w, v in ascending order.\nAnswer: w, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*o + 583*o + 3832 + 1264 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, i: 1, n: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + (4 - 3) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-101 + 20)*29\/(-3). Calculate the highest common factor of z and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5 - q - 2*q**2 + 4*q**2 - 3*q**2 - 8*q. Let w be a(-9). Suppose 10 = -w*k + 25, -2*g + 5 = 5*k. Sort g, 5, -2 in descending order.\nAnswer: 5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvuxsnd. What is prob of picking 1 v and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 15. Let u(y) = -7. Let m be -1*4\/(-6)*-9. Let q be -6 - 3\/(m\/2). Let p(d) = q*u(d) - 2*v(d). Find the first derivative of p(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 267, 264?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 131743516 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j + 4. Let t(u) = -6*u**2 - u. Let z be t(j). Let w = -1.2 + 0.8. What is the nearest to 0.1 in -1\/2, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**5\/2 + 11*i**3\/6 + 6*i. Find the second derivative of u(x) wrt x.\nAnswer: -60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6514392 a multiple of 1704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.797 + -1.817. Let m = 7.4 + 1.6. Let a = 12 - m. Sort j, a, 2.\nAnswer: j, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 4:32 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -3. Let i be o + -1 + 3 + -2. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*l - 11. Let u(w) = -w**2 - 7*w - 6. Let k be u(-5). What is the highest common divisor of k and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(84)\/(sqrt(12) + 2*sqrt(12)))*6.\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(32*6\/(-684))?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1971 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -i + 419. Suppose -o + 2*s + 150 = 0, -s - i = -0*o - 2*o. Calculate the greatest common factor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let f = -1 + 2. Let w be -5 + 45*23\/115. Which is the closest to f? (a) k (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 37 = 3*c - 2, 0 = 2*c + 10. Suppose -4*j = -2*g - 3 + 1, 4*g = 4*j + n. Solve -j*w + 5*w = 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -837205*n**4 + 905968*n wrt n.\nAnswer: -10046460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -74*z + 72*z - 16, 0 = 4*z - 2*f + 24. Let j(h) be the third derivative of -h**6\/120 - h**5\/10 + h**4\/3 + 4*h**3\/3 + h**2. What is j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, e: 2, b: 13}. Give prob of sequence xe.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/((-280)\/24) - (-173)\/5. Solve -14*v + 31*v = -t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 (base 10) in base 16?\nAnswer: -58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -15*p + 43. Give z(7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9500\/9 + 1056. Let c = -276 - -275.5. Let p be (-1)\/18*2*-1. What is the nearest to -2 in c, p, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*v**4 - 13*v**3 + 20493*v - 18937723 wrt v?\nAnswer: -196*v**3 - 39*v**2 + 20493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(10\/7)*w)\/w**15)**(-34) assuming w is positive.\nAnswer: w**(2992\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-4))\/(3\/(-4)). Let v = -9 + s. Let a = -8 - v. Solve -f - 4*z + 5 = z, 2*z = -a*f - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5540 - 5541. Which is the third smallest value? (a) -0.5 (b) 0.2 (c) -0.05 (d) k (e) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l**2\/11 + 3*l\/11 = 0 for l.\nAnswer: 0, 3\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 7*j - 6. Let o be b(4). Suppose -o = -5*i - 1. Suppose -3*t = s - 8, -4*s = t - 5*t - 16. Solve -s*d - i = 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 440 + -438. Let a(q) be the first derivative of 0*q**d + 4\/15*q**5 + 0*q - 1\/6*q**4 - 5 + 0*q**3 - 1\/9*q**6. Find z such that a(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/21 + (-2)\/(-7). Let t = 0.0465 + -1.0465. What is the smallest value in t, z, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 3*w. Suppose 5*m - w = -7. Let q be (0 + m)*(-2 - 3). Solve -q*n - 2 = 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2934 - 0.0066. Which is the nearest to 2.5? (a) -1 (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1215154186, -1215154185, -1215154184, -1215154183?\nAnswer: -1215154182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/5 - 12*m**3\/5 - 8*m**2\/5 + 48*m\/5 - 32\/5 = 0. Calculate m.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16032 divided by 24.\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 176*p\/5 + 186.\nAnswer: -2*(p - 5)*(p + 93)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14902273?\nAnswer: 181, 281, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2528446032?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3921065 is divided by 1412.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t + 24. Let g(d) = -9*d - 24. Suppose 2*c = 3*c + q + 4, 3*q + 8 = -2*c. Let l(s) = c*k(s) - 3*g(s). What is the units digit of l(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -932.\nAnswer: -17\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**4 - i**3 + 76*i + 2. Let t(c) = 27*c**4 - c**3 + 150*c + 4. Let q(b) = 9*l(b) - 4*t(b). What is the second derivative of q(s) wrt s?\nAnswer: 108*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(1 + 2\/(-10)). Calculate the remainder when 41 is divided by ((-3)\/5)\/(g\/140).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619219 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10633920?\nAnswer: 2, 3, 5, 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-2)\/(-2 + 40)). Suppose 1215 = 9*p + 197 - 350. What is the greatest common factor of q and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*q, -5*q - 40 + 10 = -5*i. Let d(h) = -h + 6. Let x be d(i). Find the third derivative of 4*n**3 + 2*n**2 - n**x - 2*n**2 wrt n.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*w - w. Let y(s) = s**2 + 289*s + 16445. Let g be y(-211). Put w, g, 2, 2\/13 in decreasing order.\nAnswer: w, 2, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g. Let b(u) = -u**2 - 9*u - 8. Let w be b(-8). Suppose 20 = 5*k + 5. Let l(x) = -2*x**2 + x**2 + w*x**2 + k*x**2. Calculate l(z(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 1. Let h be ((-2)\/4)\/(7\/(-28)). Let z be w(h). Solve -7 = 4*b + 5*c, 4*c + 1 = -4*b - z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/25? (a) -3 (b) -25 (c) -1\/4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 23*t = 5. Put t, 2, 30, 0 in descending order.\nAnswer: 30, 2, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 1. Let p(g) = -g**2 - 10*g - 5. Let t be p(-9). What is the remainder when (1 + 21)*10\/t is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3 - 37 - 33 + 30*c + 105. Let o be a(19). Suppose o = 14*v - 2080. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o + 1111 - 7*o + 7*o - o**2 - 1147. Calculate k(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 15*d**2 - 40*d + 12. Calculate v(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-12))\/m*m)\/m*m*m**7 assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*y - 5*s, -3*s + 0*s = 3. Let t(z) = 2*z**2 - 14*z - 7. Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22591133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 6 + 4 + 2*z)*(12178 - 12178 - 149*z).\nAnswer: -298*z**2 + 298*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23137834231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -386748 divided by 3581\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -94\/5. Let b = 0 - -0.2. Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35\/87 + -2\/29. Let s = -363\/29 - -1234\/87. Factor 4\/3*v**2 + a + s*v.\nAnswer: (v + 1)*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3922, -14880, -25838?\n\"Answer: -10958*b + 7036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 25*z**2 - 54*z + 12. Let b be a(-27). Solve 5*k - n = 3*n + 28, 4*k + 2*n = b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5042, -3407, -1772, -137?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -11. Suppose -16*s - 18786 = -s - 20316. Calculate the remainder when s is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2)*(-172*x**2 - 456*x + 456*x)*(-5*x**3 + x**3 + 2*x**3).\nAnswer: 1032*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-90))\/((-1)\/3 - 0). Which is the fourth smallest value? (a) k (b) -0.1 (c) -3\/11 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1483359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39014 = -7*d + 3966. Suppose -4*i + d = -0*i + l, 4*l + 1535 = i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4050*u**5 - 16202*u**4 - 24308*u**3 - 16212*u**2 - 4058*u - 2 = 0. Calculate u.\nAnswer: -1, -1\/2025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46412273 to the power of 1\/2, to the nearest integer?\nAnswer: 6813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*o - 2*o - 35, 4*o = -5*y + 105. Let l be (-1)\/((4\/o)\/(-1)). Suppose 27 = 10*x - 3. Solve x*a - 8 = 3*s - 2*s, l*a - 6 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2\/7*i**3 + 72\/7 + 26\/7*i**2 - 96\/7*i = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -75*y + 577. Calculate l(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Let k(i) = -i**2 + 5*i + 6. What is the units digit of k(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007149495 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r. Let h(c) = 8*c**3 - 5*c + 4. Let x(l) = h(l) - 5*v(l). Differentiate x(f) wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146657 - 257657. What is i rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7148 = 95*z - 262. Which is greater: -9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w\/(w**1\/w))\/(w\/(w*w\/(w**(-2\/5)\/w*w*w)*w)*(w\/(w*w*w\/(w\/(w\/(w*w**(-1\/7)\/w)))))\/w)*(w*w**(-6))\/w**(-5)*(w*w**1)**(-11) assuming w is positive.\nAnswer: w**(-786\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f**3 + 21*f*o**2 - 99*o**2 wrt f.\nAnswer: 21*f**2 + 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27615*c**3 - 4*c + 4*c - 235 - 27687*c**3 wrt c.\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = x - 220, 0 = -2*x - 3*z + z + 380. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x - x)*(-2 - 57 - 30 + (0 + 0 + 2)*(2 + 0 + 0)) in the form v + i*x and give i.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eenneen. Give prob of picking 3 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11732 is divided by 284.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -99. Let q = y - -131. Suppose -g - 37 = -2*n, -2*n + q = 2*g - 6*g. What is the remainder when 61 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 42 = -z - 3*z, -4*z = 5*x - 39. Suppose 6 = b - 2*l - z, 29 = 2*b - 3*l. Calculate the least common multiple of 9 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -31*u - 1. Give y(-2).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (10 - 5) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 5254.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*o + 78 = 0, -4*d + 5*d = -o + 36. Solve 2*m - 5*z = d, 0 = 2*m - 3*z + 2*z - 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*f**2 + 1)*(-2*f**2 + 0*f + 0*f)*(-5*f + 10*f - 11*f) + (-4*f**2 - 7*f**2 + 14*f**2)*(-2*f**3 + 4*f**3 - 3*f**3) - 83*f**5 - 4*f**5 + 19*f**5.\nAnswer: -47*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 5:42 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.3 - -4.4. Let a = -0.163 + 0.233. What is the nearest to s in a, -2, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t - 1. Let i be y(0). Let u be 2 + i + 1 + -12. Let v be (-104)\/u - (-8)\/(-20). Calculate the greatest common factor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**4 - 9*x**3 - 5*x**2 + 3*x + 7. Let b(w) = 44*w**4 + 80*w**3 + 44*w**2 - 28*w - 62. Let k(j) = -6*b(j) - 52*p(j). Find y, given that k(y) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/2 - 315213*f**2\/4 - 621046440*f - 807227200.\nAnswer: -(f + 15760)**2*(10*f + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-45)*9\/(-6). Which is bigger: 1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*b**2 - 59*b**2 - 50*b**2.\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(1*(-2)\/58). What is the common denominator of ((-5)\/(-25))\/(1\/(-11)) and -5*o*(-1)\/12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1215) + (sqrt(1215)*2 - sqrt(1215)))*1*-6)\/((sqrt(363) + 1*sqrt(363))*-1*-1).\nAnswer: -54*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2*s**3*u**2 - 412*p**2*s**2*u**3 + 133*p**2*u**3 + 2*p*s*u**3 wrt s?\nAnswer: -6*p**2*s*u**2 - 824*p**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241441?\nAnswer: 241441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)\/s*s\/(s\/(s**8*s))*(s**(-2\/3))**(-46))\/(s**(-2\/13)\/(s*s*s**2\/s))**(-2\/21) assuming s is positive.\nAnswer: s**(31240\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 19*q**2 - q - 14. Suppose 0*l - 2*a = -5*l - 105, 100 = -5*l + a. What is the units digit of v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -4 - (13 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**4 - 2*l**4 + 3*l**4)*(-3 + 3 - 1) - 5*l**4 + 4*l**3 - 4*l**3 to t*l**3 + g*l + z + r*l**2 + i*l**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 61*p**3 - 27*p**3 - 35*p**3.\nAnswer: -p**3 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(192) - (sqrt(192) - (1 + sqrt(192))) - sqrt(192))**2 - -5*(sqrt(12) + sqrt(3))**2.\nAnswer: sqrt(3) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17275, -37195, -57115?\n\"Answer: -19920*m + 2645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4 (c) 29\/24 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*z + 471, 5*z - 2*q = z + 356. Let h = 91 - z. Solve m = -i, -5*m + h*i = -2*i - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 - 12477999*x\/7 + 12477998\/7.\nAnswer: (x - 12477998)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 116 = 6*n. Suppose 2*r = -3*a + 36, -n = -3*r - 2*r - a. Let z = 40 - r. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*3*(-15)\/(-12). Let y(n) = r*n**2 + n**2 + 52080*n - 52080*n. Let z(f) be the second derivative of f**4\/2 + 3*f. What is z(y(h))?\nAnswer: 216*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 + -22?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 725, -5, -0.221?\nAnswer: -0.221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(75) + -3) + -1 - (4*(-4 + sqrt(75) - sqrt(75)))**2*5.\nAnswer: -1287 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*g + 75 = 0, 1442*o = 1444*o + 2*g + 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.9 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -46415 and -4.\nAnswer: -46419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 8 - -22) + -4 - 5) + -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 + -2. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -671\/46152 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 2:48 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2304 + -2264. Solve 81*i + q = 89*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((-7)\/((-196)\/8)). Let i = u - 14. Suppose 0 = i*w - 6*w - 11. Calculate the lowest common multiple of w and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-44))\/(6\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.636 + -0.556. Which is greater: -47 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 544 + 2?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + m**2 - 1 + (-m + 2 - 2)*(4*m - 3*m - 2*m))*(-m + 4*m - m)*(94 + 82 - 143)*(-3*m + 5*m - m).\nAnswer: 132*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -127, -117, -109, -109, -123?\n\"Answer: -w**3 + 5*w**2 + 2*w - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793819?\nAnswer: 13, 227, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:59 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5771960 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -13. Calculate the common denominator of 105\/44 and ((-13)\/((-208)\/(-3)))\/(y\/(-36)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583944469.\nAnswer: 10883, 145543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c**2 + 9 - 9)*(-2*c**3 + 2*c**3 + 2*c**3) - c**5 + 0*c**5 + 3*c**5 + 3*c**5 - c**5 + 0*c**5 + (c**4 + 0 + 0)*(-c + c + 2*c) + 5*c**2 - 5*c**2 + c**5.\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -268 - 725. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10422150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-816858)\/(-40))\/7 + -2. Let w = 2911 - q. Let u = -11975\/18 - -666. Calculate the common denominator of w and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -60*u - 4. Is 7 a factor of a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (25 + -11)) + -27?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16188.\nAnswer: 2, 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 96*d = 234. Let r(v) = v + 1. Let c(s) = -4*s + 1. Calculate d*r(t) + c(t).\nAnswer: 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/((-3)\/15). Let m(o) = 2*o**2 - o**2 - 2*o**f. Let a(r) = -51*r - 46*r + 94*r. Calculate m(a(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*v = -8, 434*y + v = 457*y + 45 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135229*k*n*s - 15*k*s - 4*k - 91*s wrt n.\nAnswer: 135229*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 - 4*x**4 + 3*x**4)*(14*x + 6 - 6).\nAnswer: 42*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0 (b) 50 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5529621?\nAnswer: 3, 1843207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Suppose -4 = -b + 305. Let v = b + -181. Calculate the greatest common factor of 32 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-10 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1377) + 0) - 2*(sqrt(1377) + 1))**2 + 5 - (-3*(sqrt(68) - (1 + sqrt(68) + sqrt(68) + -5 - sqrt(68) - sqrt(68)))**2 + 1).\nAnswer: 228*sqrt(17) + 34685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -116*o**4*w**2 - o**2*w**2 + o**2*w + o wrt o?\nAnswer: -2784*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 66*q - 9446. Determine h(140).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23724792 and 0.\nAnswer: 23724792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173647 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 4. Let g(c) = 2*c + 2. Let x(i) = -5*g(i) + 2*l(i). Calculate x(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*p + 489 - 489)*(4 + 2*p - 4)*(0*p**2 + 0*p**2 - 3*p**2) in the form u*p**4 + q*p + j*p**2 + x + i*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxhhthxthetltk. What is prob of picking 1 k, 1 l, and 2 t?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**5\/60 - f**4\/6 + f**3 + 2*f**2. What is the units digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2978*f**4 + 7903*f - 5 wrt f.\nAnswer: -35736*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -609, -49 in decreasing order.\nAnswer: 73, -49, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 35 = -4*t. Let a be t + 4 + 1\/((-1)\/(-6)). Solve 0 = -a*p - 12, 0*k + 3*k - 15 = 3*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*((h**30\/h)\/h)\/h*h*h\/h**(3\/29)*h*h**(-32)\/h**(-23) assuming h is positive.\nAnswer: h**(635\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 41587*c + 13. Suppose 0*m - 5 = -5*m. Let q be z(m). What is q rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106 divided by -702?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*l + 9 = 2, 0 = 5*n + 5*l - 45. Solve -2*c = -c + n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (-4 - 5) - -39.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/1229 - -244491\/9832. Let q = -49\/2 + h. What is the nearest to 2 in q, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57265444 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**15)**(-27)*(i**(-4\/15)\/i)\/i*i*i**(-5\/11)*i)**(-5\/14) assuming i is positive.\nAnswer: i**(33472\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -0.06, 0.27, 2?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (191 - (149 + 5))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 8*j - 20 = 0. What is the greatest common divisor of j and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16278*x**4 - 655*x**3 - 57313282*x**2 wrt x.\nAnswer: -390672*x - 3930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 354. Suppose 4*x = s + 215. What is the units digit of (x\/28)\/(6\/42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -64*b**3 - 4*b**2 + 5. Let j be r(4). Let c = j + 2897. Let t = c - -36476\/29. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.93285 rounded to 0 dps?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13074, 11, -3.\nAnswer: -3, 11, 13074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**6\/15 - a**4\/3 - 26*a**3\/3 + 4*a - 24. Find the third derivative of i(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 8*t - 3. Let q(d) = d**3 + 8*d - 4. Determine 3*q(r) - 4*w(r).\nAnswer: -r**3 - 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 - 76 + 373 + 3*h.\nAnswer: 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1 (c) -1.7776\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**2 + 6*t + 14. Let f(c) = 7*c**2 - 5*c - 12. Let b(z) = 7*f(z) + 6*i(z). What is b(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82386.7 rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 21152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*t + 5*d, 3*d = -t + 6*d + 5. Solve 3*p - 7*p + 16 = 0, 3*v - t*p = -23 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2 - 5*n + 8. Let w(b) = 17*b**2 + 11*b - 17. What is -6*w(c) - 13*z(c)?\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1\/3 (c) 0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -17*d**6\/720 - d**5\/12 + 23*d**4\/12 - d. Let h(o) be the third derivative of g(o). Find the first derivative of h(j) wrt j.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-488)\/(-40))*(1 - 2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*f**5 + 198*f**5 - 238*f**5 + 5184*f**3 - 288*f**4.\nAnswer: 4*f**3*(f - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41856 = 43*u - 33782 + 16685. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 7*c + 7. Let w be q(-5). Let u = 1 + w. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h = 44*h + 135. Solve 396*z - 393*z + h = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 7*n**2 - 9*n - 3. Let z be (-1)\/2 + (-295)\/10. Let t = 22 + z. Determine y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**3\/8 + 87*k**2\/16 + 75*k\/2 + 348. Factor c(o).\nAnswer: 3*(o + 4)*(o + 25)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 187*z - 212*z.\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - y = 15, 5*y + 27 = -5*x + y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*n**4 - 2*n**3 + 2593.\nAnswer: -204*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekdqqqd. Give prob of sequence dkq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01092 or -1\/9?\nAnswer: -0.01092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544102 and 442?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-4 + 0 + 2)*(-3*n + 2*n + 0*n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 69. Let s be l(19). Let u(m) = m**2 + 14*m + 33. Calculate u(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68.98 and 0.19?\nAnswer: -13.1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 488 by -33.\nAnswer: -488\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101100110110101101010011101 + -11?\nAnswer: 110101100110110101101010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -781 + 811.55. Let k = 0.45 + l. Let m = 30 - k. Which is the nearest to m? (a) 3 (b) 2\/11 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**36\/a)\/a)**16 assuming a is positive.\nAnswer: a**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.4345689 - -1.01.\nAnswer: 15.4445689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*q**5 - 12*q**2 + 3*q?\nAnswer: -6600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 + -13 - 32) + -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1814698 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.11. Let k = 4.7 - -1.5. Let l = k + -1.2. Which is the nearest to i? (a) -5 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854797537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -6521*j**7\/210 - 6457*j**3\/3 - 570*j**2 + 3. Differentiate g(k) wrt k.\nAnswer: -26084*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + (-1 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - x**2 - 5*x**2)*(9 - x**3 - 9 + (-x**2 + 1 - 1)*(-x + 0*x - x)).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 4. Let q be 2 - (368\/(-78) + (-8)\/(-6)). Let y = q - 179\/26. Which is the second biggest value? (a) y (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189969 by -576.\nAnswer: -63323\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172388 and 1704?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608123 a multiple of 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-111)\/(-74) - 238\/(-4) is divided by 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8677.148 days in nanoseconds?\nAnswer: 749705587200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(135) - sqrt(135) - sqrt(135))*2 - sqrt(135))\/(sqrt(99)\/(sqrt(33)\/sqrt(3))))\/(-5*2*sqrt(500)).\nAnswer: 3*sqrt(3)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 7*q + 106 to the form v*q + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1549533095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.114 - -3.59. What is x rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 14*t - 37. Let t - 14*l - 63 + l**2 + 26 = 0. What is l?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 188868 - 189208 = 0 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/27 - (-1074)\/(-540) and -137\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24683040 divided by -171410\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 + -180.9265. Let l = 2140.071 + -2140. Let s = h - l. What is s rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1700) - sqrt(153)\/(sqrt(63)\/sqrt(7)) - (-1*sqrt(34)\/(sqrt(6)\/sqrt(3)) + 5))**2.\nAnswer: -120*sqrt(17) + 1736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*o - 416, 2*f + f - 252 = -3*o. Suppose 2*s - 910 = -f. Let z be 1 + (4\/(-6))\/((-12)\/s). Calculate the highest common factor of 192 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -52\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - n**2 + 0*n**2)*(-4 + 5 + 1)*(-998*n - n**3 - 448*n**2 + 998*n).\nAnswer: -4*n**5 - 1792*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 8*f - 6. Let k(n) = 2*n**3 - 32*n**2 - 2*n + 26. Let a be k(16). Let l(v) = 4*v**2 - 7*v - 5. Give a*l(s) + 5*r(s).\nAnswer: -9*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95408.33 kilograms to grams.\nAnswer: 95408330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026 = 50*p + 4*p for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-10) + (-2)\/(-4). Suppose -x = m - 69, -5*m + 5*x + j*x + 355 = 0. Suppose -m = -3*p + 4*l, 0 = -5*p + l + 88 + 57. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 164069448 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 s, and 1 w when four letters picked without replacement from yswssswpkydssswwyspy?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 21, 0.3 in decreasing order.\nAnswer: 21, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89.2 - 88. Let w = p - 75.2. Let j = -70 - w. Which is the biggest value? (a) 3 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102.5466 + 102.3. What is j rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6240 and 36?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/529? (a) 3\/4 (b) 0.1 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 17*c**2 + 16*c + 11. Suppose 2*m = 3 + 7. Suppose -3*b + 47 = q, m*b + 0*b - 83 = 3*q. What is the remainder when w(b) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*z - 189 = 0. What is the greatest common divisor of z and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -323 and 292.03457921.\nAnswer: -30.96542079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43 minus -79?\nAnswer: 78.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -11. Sort 3, c, -2.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcocp. Give prob of sequence ocp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 + -147. Find the common denominator of -33 and g\/(-40) + (-44)\/(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10541 - 10998.7. Round d to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 10*a - 8. Let t(r) = r**2 + 22*r - 54. Let x be t(-24). Give u(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -14*n**2 + 8. Let c = 5 + -8. Let m(h) = 3*h**2 + 2*h - 5. Let t(r) = 2*r**2 + 3*r - 6. Let v(a) = 3*m(a) - 2*t(a). Calculate c*x(s) - 8*v(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 869039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5288 - -5391 - (0 - -86)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/36 - (-12 + 20 + -6)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 232323?\nAnswer: 232323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.9 (c) 0.2 (d) 673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 91\/14 - (-2)\/(-4). Let m be 2\/a*(7 - -2). Suppose -3*q + 5*b + 16 = 0, 0 = -q - 4*b + m*b. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ea41 (base 16) in base 10?\nAnswer: 59969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1660 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4823, -4820, -4817?\nAnswer: -4814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 2 = 2*y - 25*k, -1 = y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.011833 - -0.00777. Round z to 4 decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93.53, 20, 5, 9, 2 in descending order.\nAnswer: 93.53, 20, 9, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/297)\/((-2)\/(-1))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8561438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwuwuuww. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 186 = 79. Suppose 0 = 2*w - 128 - 30. Let z = c + w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 3*j + 4*z - 230, z - 345 = -4*j. Let x = 121 - j. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 3. Let t(g) = -14*g - 83 + 247 - 66 - 76. Give 44*k(h) + 6*t(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -2*d**7\/21 + 5*d**4\/12 + 8*d - 2. Let r(m) be the first derivative of l(m). Find the third derivative of r(n) wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7210 and 5150.\nAnswer: 36050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 - 8*n - 5. Let j be z(-7). Let g be 11\/2*j + -1. Let t = g - 5. Solve -30 = -4*h + t*m, m - 18 = -3*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.79 and 5.8111?\nAnswer: -10.401869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 474671493 and 25898?\nAnswer: 12949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 183, 3.348 in descending order.\nAnswer: 183, 3.348, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 1 - (17 + 473\/(-22) - -7). What is q in -6*q + 0 - p*q**2 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7362769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-5)\/1) + (-528)\/6160. Let t = -2.06 - -2. Put -2, t, a in increasing order.\nAnswer: -2, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + (1 + sqrt(2268))**2 + 4)*-5.\nAnswer: -11365 - 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26781, -52160, -77537, -102912?\n\"Answer: s**2 - 25382*s - 1400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13216 divided by 7?\nAnswer: -1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*x + 13, 0*y + 2*y + 2 = 0. Suppose -2*t = t + x. Let k be (t\/3)\/(1\/(-18)). Calculate the greatest common factor of k and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 12850\/(-225)*(-3)\/(-10)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + sqrt(294)\/sqrt(2) + -2.\nAnswer: -2 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8 = 0, -44 = 16*r - 12*r - 5*k for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099702063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 1. What is the smallest common multiple of 6 and b\/2*(-4 + 16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = q + 5*h, -q - 5*h = -6*h - 6. Let x(r) = -2*r - 3 + 3*r + 6*r**2 + r**q - r. Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, 1 i, and 1 e when four letters picked without replacement from {h: 5, e: 4, i: 1, z: 5, m: 1, v: 1}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 14. What is the remainder when -1 + 0 + 59 + -4 is divided by t(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3313, -3667, -4019, -4369, -4717, -5063?\nAnswer: -5407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 - (46 + -43).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-21)\/(-6))*(-4 + 0). Solve u = 7 - q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 12:28 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*2*-4)**2.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 2*z**3 - 1 + 0*z**3 + z**3 - 13*z**2 - 1. Let a be i(-13). Let g be -8*(a\/45 - 1). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3744230*l**2 - 2*l - 1284481 wrt l.\nAnswer: -7488460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 135*j**4 + 137*j**4 + 2 + j**3 + j**2 in the form t*j + h + i*j**3 + r*j**4 + g*j**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*u**2 - 20*u**2 + 67*u**2 in the form s*u**2 + b*u + z and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354*a + 3140170 = -700376. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in -3, -0.518, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 5:39 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((33\/(-11))\/(9\/6)*-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286 - -968. Calculate the remainder when 1373 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 - 228. Let t(u) = -43*u - 180. What is the units digit of t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:34 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 20000121212?\nAnswer: 20000121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -51. Suppose -t = -6*t + m. Let s(v) = v**2 - v - 2. Let p be s(3). Solve -2*a - t = 4*c + 1, p*a - 2*c + 10 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 - a9d?\nAnswer: -a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 34. Let m be l(18). Is m less than 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:59 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/18867, 3\/2, -2\/5 in decreasing order.\nAnswer: 3\/2, 2\/18867, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 2323*l**3 + l - 10*l - 15*l + 20*l.\nAnswer: 2323*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (5 - (2 - 0)). Suppose 42 = f*y + y. What are the prime factors of (y\/(-21))\/((-2)\/39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49859, 49858, 49857, 49856?\n\"Answer: -g + 49860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 285\/(-42) + 7\/((-147)\/(-6)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let y(q) be the first derivative of -15\/2*q**2 + 0*q - 32. Give y(a(v)).\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -19)\/((-20)\/1539). Let k = -203831 - -820845\/4. Let b = k - a. Find the common denominator of -7\/22 and b.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.5.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*y + 6390 = 35*y - 167*y - 55*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000033239 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m - 53. Let c be z(13). What are the prime factors of c*(-6 + 5)*(0 - -43)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 8 + 18 - 2 + 34.\nAnswer: 5*o + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-6) + 2\/(-3). Suppose p + 15 = 5*v, 0*v + 28 = r*v + 4*p. Find the second derivative of v*q**3 + 10*q**4 - 5*q**4 - 4*q**3 + 9*q wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(102)*2*-3 - (sqrt(102) - -2*(sqrt(102) - (-1*sqrt(102) - sqrt(102)))))\/(sqrt(36)\/(sqrt(24)\/sqrt(4)*4 - sqrt(6)))*-5).\nAnswer: -585*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t + 0*t)*(3*t - 3*t + 2*t**2) + 0*t**3 + 2*t**3 - t**3 - 90*t**3 - 54*t**3 + 29*t**3 + 10*t**3 + 6*t**3 - 3*t**3.\nAnswer: -99*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*z + 8382 = 8312, -q - 2*z - 127 = -3*q + 3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829558 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*u - 64*u - 72*u + (-3*u + 0*u + u)*(1 + 3 + 0) + (3 + 0 - 4)*(2*u - u - 3*u).\nAnswer: -46*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645 and 183180?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3629861 to 3 dps.\nAnswer: -6.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3810 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.0076757213 from -31.4.\nAnswer: -45.4076757213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -606, -605, -604?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d + 5*d**3 - 3*d - 121*d**2 + 56*d.\nAnswer: 5*d**3 - 121*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3756.672561231 and 1.\nAnswer: 3757.672561231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15163721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*l)*(0*l**2 + 4*l**2 - 3*l**2) + 1 - 1 - l**3 - l**3 - l**3 + l**3 + 3*l**3 + 0*l**3 + l**3 + (l - 4*l + 2*l)*(10*l**2 + 9*l**2 - 6*l**2).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2925863 by 5.\nAnswer: 2925863\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (194\/3 - 1) + 6\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/4))\/m*m**(3\/4)*(m*m*m**(2\/3))**(-3\/4)*(m*m\/(m\/m**(1\/23))*m*m**(-3\/7))**(-2\/131) assuming m is positive.\nAnswer: m**(-42702\/21091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-15))\/((-1)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 9. Let p(v) be the first derivative of -29*v**2\/2 - 102. Calculate p(b(y)).\nAnswer: -58*y - 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:03 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9689 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17\/(f*f*(f*f**(3\/10))\/f) assuming f is positive.\nAnswer: f**(147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2))**(-29))**(5\/7)*(m**(1\/2)\/m*m**7)\/(m**(-9)\/m*m\/(m*m**(-2\/19))) assuming m is positive.\nAnswer: m**(-1952\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5332 and 4619.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 6*y + 14, 161*y - 5*f - 15 = 166*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 - 39. Suppose z = 4*f - x, -f - 3*f + 4*x + 28 = 0. What is the units digit of f\/(1 + 2)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483201 is divided by 160071?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.18 (b) -1 (c) -3\/7 (d) -0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 - 8 + 2*g - 4 + 6 - g**3. Let y be j(-5). Let o = -5 - -7. Solve 2*b = p - 1, -o*b = -5*p + b - y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -18*m**3 - 8. Let o = -54 - -57. Let s(r) = -6*r**3 - 3. What is o*q(x) - 8*s(x)?\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 3*m + 200. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.4, -0.136, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 80 = 2*w. Suppose 0 = w*l + 43 - 53. What is the third biggest value in 0.06, -4, l, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o = 3*o + 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*r + 3*r - 190, 5*r + c - 326 = 0. Solve 18 = r*s - 60*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2.45, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 35*i = -464800. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 6795.\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 49592455125 - 49592455125.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125.94 - 2.94. Let s = u + -133. Which is greater: -11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -87115, 0 in increasing order.\nAnswer: -87115, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3, 4, -1 in descending order.\nAnswer: 4, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203.4 + -205. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - -4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 119*j**2 + 822*j + 7272. Calculate r(111).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -540693515*b**3 - 11136495*b**2 - 6 wrt b?\nAnswer: -3244161090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3, 0*v + 2*v = -2*j + 4*j - 50 - 18 + 18 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230469878?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5.13. Let l = x + 0.53. Sort 4, l, 0.04 in descending order.\nAnswer: 4, l, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2109 and 2679?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 25170041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216*0.3.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 378635490 to the nearest one hundred thousand.\nAnswer: 378600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23101604, -23101601, -23101596, -23101589, -23101580, -23101569?\nAnswer: -23101556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55824 and 2881104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**2 + 6*m - 5*m - m.\nAnswer: 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 25\/4 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*h = -156*h - 13636. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 0.4 (c) -2\/7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 40 - -3445?\nAnswer: 3485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 33 - 29 = -4*a, 4*a = -16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9*q = 4*q, -5*u + q = -16. Let j(w) = -w**2 + 7. Let k(y) = 1. What is u*k(f) - j(f)?\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -275. Suppose 4*l + 44 = -4*h, 0 = -l - 4*l - 3*h - 47. Let u = l + f. Calculate the smallest common multiple of 12 and u.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0*d + d - 5*d**2 - d**3 + 9 - 2 + 3 - 12. Let w(y) = -5*y - 1 - y + 10*y. Let p be w(-1). Calculate b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**4 - z**3 + 4*z**2 - 2. Let d(y) = 3*y**4 + 248*y**3 - 35*y**2 + y + 34. Let n(i) = -6*b(i) - d(i). What is the third derivative of n(m) wrt m?\nAnswer: 72*m - 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 + q**3 - 44 + 0*q**3 + 8*q - 7*q to the form n + l*q**3 + s*q**2 + p*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - -1474?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54740?\nAnswer: 2, 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 4*b + 2*b)*(1 - 5 + 0)*(-6*b + 0*b + 3*b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 9) in base 15?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -42*-41\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a6 + 7?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6*q. Suppose q = 2*r - 9 + 41. Let s be r\/(-60) + 2\/5. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 + 10*c**2 + 342 - 48 - 77.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 75\/7 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1971 - 0.19712825. Round j to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.1262 decades in months?\nAnswer: 95775.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3 + h**2\/2 + 80*h + 4. Calculate z(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j**2 + 2489*j - 1136. What is n(191)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*l + 50 = 0, 5*v - 2*v = l + 30 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12651 - 12609. Calculate the greatest common divisor of 1484 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(-6)\/3*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 n when three letters picked without replacement from {p: 5, i: 3, n: 3, z: 1}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -364*t. Let u(c) = 26*c**2. Determine u(s(v)).\nAnswer: 3444896*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -11*d + 1. Let s be m(-1). Let l(a) = 34030*a + 408368. Let w be l(-12). Solve w*f = 4*f + s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63 - 2d?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a - 39. Let b be u(-7). Let c = b + -27. Suppose -2785 = -t - c*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 10*i + 26. Give y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*z**3 - 958*z + 1917*z + 141*z**3 - 2*z**2 - 957*z - 738 as s*z + l*z**3 + o + d*z**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 15?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 308, 407, 506?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 v when four letters picked without replacement from {g: 1, r: 5, c: 4, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*v + 2254 + 947 = 9 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 84215 = -136213. List the prime factors of q.\nAnswer: 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11243509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 254*j**2 - 4450*j - 18018.\nAnswer: 2*(j - 143)*(j + 7)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p - 15*p + 2*p + 4 + 16*p to the form l + g*p and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166546232 - 0.3.\nAnswer: 166546231.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -36766*y**2. Let v(k) = 644*k + 1. Calculate v(l(d)).\nAnswer: -23677304*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.5 + -1.5. Let i = -12.5 - v. Sort 1, -2, i.\nAnswer: -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y + 7*y**5 + 14*y + ((-2*y - 11*y - 5*y)*(3*y + 0*y - 4*y) + (-y + 3 - 3)*(-y + 5*y + 7*y))*(-2*y**3 + 3 - 3).\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 + 44*k**2 + 6*k + 115. Let t be u(-22). Let q(h) = 2*h**2 + 25*h - 7. What is q(t)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 245.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6887056 and 8393?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*i + 41 = 2*i, f - i + 1 = 0. Suppose 2*c - 188 = -4*g, -3*c + 2*c = f*g - 92. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l*l**1*l)*l)**(-42))**(1\/16))**(-4) assuming l is positive.\nAnswer: l**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691259043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2420 and 8712.\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/17))\/(o*o**19*o))**(-5\/7) assuming o is positive.\nAnswer: o**(1710\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6*10\/40)\/(1\/(-14)) and 372?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -662, -1508, -2702, -4250?\nAnswer: -6158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*j = 7*f - 196, -2*f - 5*j = -187. Let y = -65 + f. What is the remainder when 178 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**3 + 4*z**2 + z**2 + 4*z**2 - 12*z**2 wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101101 + -11100?\nAnswer: 1000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.078 - 13.078. Let o = 12.99999775 + z. Round o to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 72 - 68 = 0. Which is the nearest to -2\/9? (a) t (b) 4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -9. Let q = 12 - d. Solve -c - 2 = q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (28 - 8) - 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzww when four letters picked without replacement from qqqqqwqqzwzzzwqz.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m**3 - 14 - 11 - 61*m**3 - 25*m - 39*m**3. Suppose 0 = -2*s + 27 + 23. Let r(u) = -7*u**3 - 2*u - 2. Determine s*r(p) - 2*i(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696 is divided by 437\/(-38)*((-9)\/(-3) + -5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/42504*-14 - (18\/(-22) - -1)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81146047?\nAnswer: 23, 3528089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 278*u - 140*u + 18*u**3 - 31 - 140*u wrt u.\nAnswer: 54*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(40) - sqrt(10)) - sqrt(98)\/(sqrt(7) - 2*sqrt(7)))\/(-2*sqrt(1008) + sqrt(77)\/(sqrt(55)\/sqrt(5)) + sqrt(7)).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/88)\/((27\/6)\/3).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7288817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494796 is divided by 285?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 686384021 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 7*l + 11. Let g be w(8). Let i = 18 - 12. Suppose 3*x = 4*p + p + 2, 0 = 2*x - p - i. Solve x*r = g + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 876 and 31656?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182 + (-42 - (104 + -78))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 3 (b) 2 (c) -2 (d) -3 (e) -92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/33201 and -71\/2754.\nAnswer: 597618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5719 and 4921.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 45. Which is bigger: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**8\/672 + z**7\/420 + z**6\/240 - z**5\/120 + z**2 - 1. Let f(c) be the second derivative of a(c). Let f(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -455*s**2 + 1 - s + 3*s + 387*s**2 in the form u*s**2 + l + z*s and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2822807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 269704891*v + 230950868 wrt v.\nAnswer: 269704891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 25*u**2 - 126*u + 1874. Give y(13).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v + 576 = 638 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*-3*3)\/((1*sqrt(32))\/sqrt(8)))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 5 + 3 + s**2 - s)*(5*s + 6*s - 2*s).\nAnswer: 18*s**3 - 9*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/7 - 962*w\/7 + 964\/7 = 0. Calculate w.\nAnswer: -482, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208*t*u**5 - 165603*t*u + 55*t + 79080*u**5 + 2*u wrt u.\nAnswer: 4160*t*u**3 + 1581600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 + m**2 - 3*m - 9. Let k be a(-2). Calculate the remainder when ((-3)\/(-2) - 3)\/(k\/950) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1680*p**3*r + 3*p**3 + 2*p*r - 2071*p - r wrt p.\nAnswer: -10080*p*r + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - z**2)*((8 - 8 + 4*z)*(-1 - 1 - 2) + 2 - 2 + 6*z)*(-6 + 8 + 6).\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/8 - (-2 + (-305)\/(-50)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*c + 5319552 = 5331696 for c.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1870, -3754, -5642, -7534?\nAnswer: -9430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -33. Suppose -q*n - 11 = -17*n. Solve n = 3*l + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 86 (c) -828 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 53345*h**2 - 266787*h - 42. Calculate i(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.784 + 0.67. Let r = x + -0.004. Let b = r - -0.055. Round b to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78284 = 44*g - 7951 - 44181. Calculate the remainder when g is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*f - 32 = 10*i - 48*f, i + 0*i + 2*i - 21*f = 15 - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*h - 58 + 60 + 85 with respect to h.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*j**2 - b**3*j - 299*b**3 + 2*b**2 + 9*b*j**2 + 26*b*j - 14 wrt b.\nAnswer: 12*j**2 - 6*j - 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - -31. What is the greatest common factor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -615 + 598 - (-6 + 1 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21466 != 21469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from yrykkrukruukkrr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouuo when four letters picked without replacement from ooouooouo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784*r + 27744 = -800 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 44. Let p(q) = 5 - 5*q + d*q + 2*q**2 + 7*q. What is the units digit of p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 - -3045\/11. Which is the smallest value? (a) 72 (b) 4 (c) v (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l = -4*o + 11 - 0, 9*l - 3*o - 15 = -8*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 5*p + 30, 8960 = 2*f + p + 8952 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z\/(z\/z**0))))**49)**(-11))**7 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44070 is divided by 198?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to -0.6065295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3736 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(68) + -3 + sqrt(68) + (5 + sqrt(68))*1)*-2 + 5 + 1 + 2.\nAnswer: -12*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5391844?\nAnswer: 2, 23, 103, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -236*o**2 - 606 wrt o.\nAnswer: -472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3996 and 2532465?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/3 - 105024*u**3 - 525108*u**2 - 2205440*u\/3 - 315062 = 0. Calculate u.\nAnswer: -157531, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blfapxfx. What is prob of picking 1 l and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1 + 1 - 2*i - 3 + 7*i - 4*i. Let u be 0\/((-3 - 0) + 4). Suppose 2 = -u*k - 2*k. Let m(f) = 8*f - 5. Calculate k*m(l) + 5*a(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a hour in seconds?\nAnswer: 45900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(208)*4 - (sqrt(208) - (2 + sqrt(208)*1)))**2 + ((sqrt(208) - -3*-2*sqrt(208)) + (0 + sqrt(208)*-1 - sqrt(208)))**2 + -1.\nAnswer: -64*sqrt(13) + 13523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2527\/666 + -200\/37. Calculate the common denominator of 2 + ((-50)\/175)\/(16\/(-62)) and d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 112*j**5 - j**4\/2 - 241*j**3 + 637. What is the third derivative of y(l) wrt l?\nAnswer: 13440*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1127 + -1127.1. What is the closest to b in -0.3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 565 + -566. Sort 7, 35, u.\nAnswer: u, 7, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/9*4\/(-12))\/(18\/(-48)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748976?\nAnswer: 2, 7, 11, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*h - 27 = 0, -k + 1394*h + 7 = 1395*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -109. Suppose -4*y + y = -a. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*n - 49, 5*k - 5*n + 2*n = -68. Let i = k + 20. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 5*g - 5. Suppose 7*l - 2*l = 2*s + 1, s + 2*l - 13 = 0. Let o be f(s). Is 2 a factor of o\/(-10)*-2*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1873040419878?\nAnswer: -1873040419877.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 43\/258*21\/(-2)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**4 + 120*v**3 - 297*v**2 - 2060*v + 300.\nAnswer: -(v - 10)**2*(v + 3)*(7*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 26. Let t be w(24). Let v(r) = -3*r**3 + 2*r**2 + r. Let o(m) = 16*m**3 - 9*m**2 - 6*m. Calculate t*o(p) - 11*v(p).\nAnswer: p**3 - 4*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1354 - -2?\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*r - 3*r - 1, -p + 5 = 5*r. Let c be 588\/(-10) - 2\/(-2). Let d = c - -57. Is p > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.23979902 and 0.3.\nAnswer: -0.371939706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1650399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*y**2 - 11*y**3 + 173*y**2.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 128567070*c + 1377457624032075.\nAnswer: 3*(c - 21427845)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 598431276, 598431283, 598431292, 598431303, 598431316?\n\"Answer: o**2 + 4*o + 598431271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7578 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -315 bigger than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-6 + 7 - (1 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*n - 25, -46*u = -51*u - 20. Which is the closest to -1? (a) n (b) 0.2 (c) 1 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 82. Is i bigger than -0.896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6*o - 100. Let p = o + -18. Suppose 7*x = p*x + 80. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-24)*(-24)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 8*t**2 + t + 5. Let s(y) = y**3 + y**2 - y - 1. Let a(f) = c(f) + 2*s(f). Let w be a(6). Let m(j) = -j**2 - 3*j - 2. Give m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.2539128 minus -9?\nAnswer: 148.2539128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29053, -29054, -29055, -29056?\nAnswer: -29057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-61)\/(-56)*2\/(-10). Let l = s + 1\/56. Which is the nearest to l? (a) 2 (b) 0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 2 e when four letters picked without replacement from eoouuzuezeu?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 160, -0.4, -29\/3?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.9 + -26. Let w = -1.1 - f. Let s = 132 + -125. Is s at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792776707 to the power of 1\/2, to the nearest integer?\nAnswer: 28156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 1) + (-185)\/65. What is the nearest to 3\/2 in 0, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 63*t + 320. Determine y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02281 - 2903030\nAnswer: -2903030.02281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5945 + 5945. Which is greater: 2\/2695 or u?\nAnswer: 2\/2695","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 2*r**5 - 2*r**5 + 34*r**3 + 4*r**5 - 34*r**3 + (-3*r**5 + 5*r**5 + 0*r**5)*(0 + 7 + 4).\nAnswer: 27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 6*m - 12. What is x(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 45 = 2*b. Let u be ((-15)\/(-25))\/(1\/5). What is the units digit of u\/(b\/2)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/11 + 48*t**4\/11 + 334*t**3\/11 + 552*t**2\/11 - 335*t\/11 - 600\/11 = 0.\nAnswer: -40, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9088219 micrometers in kilometers?\nAnswer: 0.0000000009088219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586 - 67*f**2 + 586 + 65*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h. Let m(v) = 2*v**3 + 62*v**2 - v. Calculate -m(u) + n(u).\nAnswer: -u**3 - 62*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349 + -347. Let u(a) = 4*a**2 - 6*a - 3. Calculate the least common multiple of u(x) and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2 + p**2 - 4 + 6*p - 2*p**2. Give b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -395 + 624. Let k = t + -175. What is the smallest common multiple of k and 22?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11260*m - 10432*m - 98532 = 0 for m.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**2*n**4 + 3968*k**2 - k*n - 4*k + 25964*n**4 + 3 wrt n?\nAnswer: 4*k**2*n**3 - k + 103856*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230 - -147. Suppose -36*f = -55*f + 323. Let d = f - t. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1017 + -821. What is the remainder when 782 is divided by j?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (-8 + -12) - -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u = 30. Calculate the lowest common multiple of 4 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2. Let k(d) be the third derivative of d**5\/40 - 8*d**3\/3 + 136*d**2. Let i(b) be the first derivative of k(b). Calculate i(f(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.73 * -0.2.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (68\/(-20) - -3)*-5. Suppose -d*c - 2*c = -20. Let j be -1 - ((-8)\/(-5))\/(6\/(-45)). Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14344138769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*r = -46, 2*u - 21*r = -17*r + 42. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x + 5. What are the prime factors of m(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203 = -329*u - 321*u + 643*u for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1436 divide 1082959400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 2*r - 10. Let w be d(-5). Find the second derivative of 26*n**4 - w + 34*n + 5 wrt n.\nAnswer: 312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/7 (b) 10 (c) -2\/719 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 100.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, p: 6, c: 1}. Give prob of picking 2 p and 1 y.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 5*p**2 + 4*p + 3. Let r be v(4). Suppose 5*s = r*s. Suppose 3*u + s*u - 64 = -o, -2*u = -2*o + 152. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 15. What is q(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -91.56.\nAnswer: -91.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(-11*q + 21*q + 7*q) + 2 - 2 - 2*q + 2*q - 2 + 2 as b + a*q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.2 - -8.25. Let y = z - 0.05. Let v = y - 3. What is the nearest to v in -2\/5, 0.4, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/216510 and -95\/6.\nAnswer: 216510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/(-238))\/((-2)\/35)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose -2*x + 18 = v, 2*v - 3*x - 8 = -0*v. Let o be v\/(5*8\/20). Solve 0*l + 3*l - 4 = -k*f, -o*f = -3*l + 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (592 - 594)\/(4\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7000\/33 - 638\/3. Which is the third biggest value? (a) m (b) 0 (c) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*k**3 + 44*k**3 + 2*k + k + 0*k as d*k**3 + q*k + r*k**2 + l and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p - 3*i + 121, 5*i + 97 = 4*p. Differentiate -103*l**4 + 111 - l - p + 22*l**4 - 43*l**4 with respect to l.\nAnswer: -496*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) 12531\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*n**3*p + 3*n**2*p + 969*n*p + 2*p - 87957 wrt n.\nAnswer: -9*n**2*p + 6*n*p + 969*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1144*m = -4*z - 1145*m + 2040803, 3*z - 1530590 = m. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 201, 154, 47, -144, -443, -874?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 15 - 55. Suppose -k + g = 4. Calculate the remainder when k is divided by 24\/3*4\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 25*q + 1 + 18*q.\nAnswer: -7*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3473 + -2980. What is the highest common factor of v and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrzqbr. Give prob of picking 1 q, 1 z, and 2 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 101. Suppose -3 = s - j. Round s to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1184\/11471?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 48 = -c - 92, 5*c = -5*o - 60 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 + 0 = -3*z, -4*z - 9 = 5*f. Let o be (z + -155)*(-2)\/(-4)*-1. Suppose -63 = y - o. Calculate the remainder when 28 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + sqrt(13))**2*-3 + (3*sqrt(13)*1)**2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7020 and 115596?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -554, -14217, 11 in descending order.\nAnswer: 11, -554, -14217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 16056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h\/h**7))**(2\/13)*(h*h*h*h\/(h\/h**(1\/3))*h)**(-8\/5)\/(h**(-1\/8)*h*h**(-4)*h) assuming h is positive.\nAnswer: h**(-5581\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*y - 2 - 28, -3*y + 2*p + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)*q*q**20)**(-28) assuming q is positive.\nAnswer: q**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2892 - 2888. Suppose -1\/5*d**r + 3\/5*d**3 + 1\/5*d - 3\/5*d**2 + 0 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-1))\/(4\/(-12)) is divided by (34 + -33)\/(1\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 5*d**2 - 5*d - 12. Let n be x(6). Let y(i) = 106*i**3 - 6*i**2 + 15*i + 2. Let o be y(n). What is o rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let u = -56 + 120. Suppose k - 9*k + u = 0. Let c(p) = -204*p - k + 101*p + 102*p. Give c(i(y)).\nAnswer: y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 + 12*i + 11. Calculate h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 3. Suppose -3 = 3*y - 15. Suppose 2*m = -2*b + 24, y*m = 3*b - m + 4. What is c(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59243?\nAnswer: 59243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 - -33. Let c = g + 92.6. What is the fourth biggest value in c, 2\/19, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2990\/330 + -9)*3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -876 + 875. Are k and -2\/293 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-236)\/(-3)*(-6)\/(-4). Let t(f) = 7*f - 8. Let v be t(7). Let n = g - v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.4621 centimeters in kilometers?\nAnswer: 0.000484621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2a20 (base 12) to base 4\nAnswer: -1030320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 5:06 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706991070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -8. Suppose q - 8 = -r. Is 2 a factor of (r - 0)\/(2\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4764 (base 13) to base 4\nAnswer: -2131011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1*sqrt(11) + 4 - sqrt(88)\/sqrt(2)) + 0))**2.\nAnswer: -200*sqrt(11) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13719 is divided by 1246.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223029 <= 1223041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3332*m**2 + m - 2063 wrt m?\nAnswer: -6664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 1*-4 - 10. Suppose -4*b + 5*b + 2 = 0. Let l = b - i. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + (-15)\/6)*(-5537)\/(-1225) and 43\/830.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 211*v - 45. Let l be (-6)\/(5 + -17)*24. Is r(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.57, -2, 75, -3.\nAnswer: -19.57, -3, -2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*o - 3*t, -3*o + 11*t = 6*t - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -26*k - 579. Let t be r(-22). Let x(z) = -10 + 0 - z**2 - 7*z - 3*z. Determine x(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s - 446 = 539*s - 149*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h - 899 = 21*h. Let r = -69 + 98. What is the highest common divisor of h and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/16 + (-3069957)\/(-12). Let r = 942830 - s. What is r rounded 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 remainder when 4943952 is divided by 617985?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49425281?\nAnswer: 49425281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -1)\/(0 - 1). Suppose -3*d + 460 = 7*d. Suppose -d + 36 = -5*m. Sort -2, u, m, 4 in increasing order.\nAnswer: -2, m, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90955, -90947, -90917, -90853, -90743?\nAnswer: -90575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18208303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 102*t**3 + 7*t**2 + 7*t + 237. Let o(h) = 34*h**3 + 2*h**2 + 2*h + 79. Let f(d) = 21*o(d) - 6*s(d). Find the first derivative of f(x) wrt x.\nAnswer: 306*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 426252 and -0.076.\nAnswer: -32395.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 4 - -119 - (-7 - -4). Suppose -k = -9*x + 9. Calculate the highest common factor of x and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**4\/8 - 2*w**3 + 10*w**2. Let j(n) = n**2 + n - 4. Let l be j(3). What is the units digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014618284?\nAnswer: 2, 347, 730993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 352\/19? (a) -89\/8 (b) 2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(-1\/7))\/r*r)**16)**(-1\/8))**47 assuming r is positive.\nAnswer: r**(-752\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-12) + (-663956)\/22352 - -31.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7797 + -7801. Sort -2, 84, m in descending order.\nAnswer: 84, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*g**2 - 255*g**2 + 130*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 107 = -f + 4*l, -2*l = -f + 39. Suppose 2*x = 39 + f. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 32 = 4*z, -5*b - 9 = 2*z + 22. Let q(t) = -23*t + 43. Let v(w) = -22*w + 42. Let x(s) = b*q(s) + 4*v(s). Find the first derivative of x(f) wrt f.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-3)\/((-675)\/6)). Is 3 a factor of j\/21 + (-15)\/(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 14 - 12)*(0 - 3*k - 2 + 4*k).\nAnswer: -29*k + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k - 51*k + 26*k - 7*k to the form o + x*k and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 6. Let n be m(10). Let g = n - 13. Let o = g + 6. What is the biggest value in o, -0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/12 + b**2\/2 + b. Let i(d) = d**2 + 2. Suppose z - 2 = 3. Let w = z + -3. What is w*x(o) - i(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose j + 2 - 5 = p. Let m(n) = -n + j*n - 9*n. Let h(s) = -s**2. What is m(h(v))?\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 23. Let i be (t\/(-7))\/((-4)\/(-14)). Suppose -w - i = -4. Let q(g) = -g**2 - 5*g - 1. Calculate q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + v**2 - 5*v - 3. Let t be d(3). Is 183*(-3)\/t*-34 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3990\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 - m - 9. Let a(u) = -u**2 - 6*u + 6. Let j be a(-7). Let g be 3\/1 + 4\/(-2). Let l = g + j. What is o(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1710 and -2?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 38. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 184, 383, 644, 967, 1352, 1799?\n\"Answer: 31*k**2 + 44*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*x + 3*s - 65, -3*x = -4*s - 39. Calculate the remainder when 24 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 385949 and 0.5.\nAnswer: 192974.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 87\/(-6))*-2. Let x = 58 + i. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29394 and -4933.\nAnswer: 24461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -7*w**5\/20 - w**4\/2 + 3*w**2 - 160*w - 11. Let h(u) = -8*u**3 - 5*u**2 + 7. Give -6*h(n) + 7*z(n).\nAnswer: -n**3 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*k + 23 = 0, -4*k - 18 = -4*f + 2. Suppose -f*y - 12 = 2*y. Let q be 15\/(-10)*(-1)\/y. Which is the closest to q? (a) 3 (b) 0.1 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*z + 64 = 2*z, 0 = -s + 3*z. Suppose 5*k - 3*c = -4*c + 93, 0 = 2*k - 4*c - 24. What is the lowest common multiple of k and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 61479*w + 26798520.\nAnswer: -3*(w - 427)*(w + 20920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7262009 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llbllllflllllff. What is prob of sequence llb?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-31 - -38)) + -10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 71 (b) 1\/2 (c) -1838\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5 - 223*(-19 - (-5978)\/315))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 + 1089*c**3 - 358423*c**2 + 37021743*c + 37381256 = 0. Calculate c.\nAnswer: -1, 253, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.1188 - 5793.\nAnswer: -5835.1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**4\/3 - v**3\/6 + 3*v**2. Let y be g(-7). What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 3*a**2 + 6*a + 4. Let z be w(-5). Suppose 4 = 2*u - 3*u. Let t(v) = -8*v + 4. Let r be t(u). What is the highest common factor of r and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41058 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1288*x + 1286*x + 20 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10\/121 - -2006\/847. Let u(a) = -66*a - 196. Let g be u(-3). Factor j*y - 16\/7 - 4\/7*y**g.\nAnswer: -4*(y - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 760208.2ng?\nAnswer: 0.7602082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001 - -1000?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4490168, 4490166, 4490164, 4490162, 4490160?\nAnswer: 4490158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 - 6494.842.\nAnswer: -6495.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3420 is divided by 231?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -218700?\nAnswer: -218698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/6 + 359*m\/3 - 128881\/6 = 0.\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 9061.\nAnswer: -3\/9061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539246?\nAnswer: 2, 3, 256541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 643649 by 5.\nAnswer: 643649\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -2*y, 2 = 5*y - f - 0*f. Solve 0 = z - y*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 6*a. Let y be r(6). Let q(p) = p**2 - 5*p - 1. Let v be q(6). Find the second derivative of -3*m**v + y*m + 0*m**5 + 4*m wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 4758256*d + 14274732.\nAnswer: 4*(d - 1189561)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 10. Let s be (0 + b + -2)*-1. What is the second derivative of 0*q**3 - s*q**3 - 2*q**3 + 3*q + 2*q**3 wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82264 - 906167\/11. Let z = v + 115. Let s be -3 + 86\/18 - 2. What is the nearest to 7 in 2\/13, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -12)*5\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (10 + -7)\/12 + (-574)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.2. Let z = -0.3 - m. Let q = -57607 - -57604. Which is the biggest value? (a) z (b) 3 (c) -6 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/4, -2\/3, 178?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849721 a multiple of 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 70*t**3\/9 - 7138162*t**2\/9 + 181975356298*t\/9 + 5199348338 = 0.\nAnswer: -9\/35, 50987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5400 and 4824?\nAnswer: 361800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 88623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -16*i**2 - i**3 + 2*i**3 + 6 - 26 + 8. Give m(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958\/106 + (1 + -1 - (-127 + 136)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -3.7. Let d = -45 - -36. Which is the second smallest value? (a) -5 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t\/(t*t\/(t**(-2\/7)\/t))*t))))\/t*t**(3\/10)*(t**(-2\/5))**(-17\/6))\/((t**(-3\/5))**(-14\/11))**(-10) assuming t is positive.\nAnswer: t**(23921\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + 4*l**3\/3 - 13*l**2\/2 + 15*l. What is b(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -3\/8, -2543, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 3*c - 79 + 71\/2*c**2. What is the first derivative of f(z) wrt z?\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -2*i + 0 - 1\/2*i**3 + 0*i**2. Let x(n) = -2*n. What is x(p(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 1. Let y(k) = -28*k**2 + 4. Let g(j) = 4*c(j) - y(j). Let w(u) = 13*u**2. Determine g(w(m)).\nAnswer: 3380*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1052 (base 6) to base 4\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f + 84 = 0. Let p = 122 + f. Let z = p - -41. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, -7, -8, 0 in increasing order.\nAnswer: -23, -8, -7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 6*x + 5. Let p be r(6). Let n(c) = c**2 - 3*c - 5. Let b be n(5). Solve b = 5*g - p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 50\/11 (c) 1.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**3 - 11*i**2 - 13. Let y(f) = -6*f**3 - 5*f**2 - 6. Let b(r) = -6*l(r) + 13*y(r). Find the third derivative of b(o) wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18410, 18094, 17240, 15578, 12838?\n\"Answer: -45*o**3 + o**2 - 4*o + 18458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9709 (base 13) to base 9\nAnswer: -31674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 4, m: 4, r: 1, w: 6, d: 2}. Give prob of picking 1 a, 1 w, and 1 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348929, 697871, 1046813?\nAnswer: 1395755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x + 20. Let z be b(0). Let p = z + 148. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11329594 to the nearest integer?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692*q - 409752 = -710*q. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:45 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/651, -1, -0.2?\nAnswer: 2\/651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8184 and 179304.\nAnswer: 1972344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331 is divided by 372?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1962 + 2036. What is the highest common divisor of l and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60 - 5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-3\/2)\/f)\/(f*(f\/f**(-3))\/f))\/((f**(-5)*f)\/(f*f**0)) assuming f is positive.\nAnswer: sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 29142?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - y - 39 = 0, 21*y + 30 = 4*s + 23*y. Which is the nearest to s? (a) -0.16 (b) 1\/8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3040380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9788*q. Let z(f) = -152*f - 2. Determine z(c(u)).\nAnswer: 1487776*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 2. Let z be r(5). Suppose c + c + 8 = 0. Let t = -2 - c. Solve t*d + 1 = z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12461?\nAnswer: 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -36*n**2 + 511*n + 534. Give x(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1645 + 1639. What is the nearest to 7 in 1\/4, -3, -8, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -8*z + w, -z - w - 390 = -382 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.44 + -0.4.\nAnswer: 16.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 162630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 134*y**2\/5 + 128*y\/5 - 264\/5.\nAnswer: 2*(y - 1)*(y + 2)*(y + 66)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q - 10*q + 6*q + 8448 = 0. What is the remainder when q is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4692, -9355, -14018, -18681, -23344?\nAnswer: -28007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 4*i = -11*i + x - 12, 3*i - 21 = 4*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 460 = 7 + 883. Solve 0*r - i = -15*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-12))\/(1339\/(-412))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212 + -2042212320?\nAnswer: -2042212103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5590091275.\nAnswer: 5, 31, 7213021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**3 + 860*y**2 + 95735*y + 2134870 = 0?\nAnswer: -41, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-4\/11))\/(k**(3\/8)\/k) assuming k is positive.\nAnswer: k**(175\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {v: 5, k: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00664064 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 216345176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-9)\/3 - 4. Calculate the remainder when (k\/(-8))\/(2\/100) is divided by ((-21)\/(-15))\/((-2)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llflhlflilhhllthh. Give prob of picking 1 l and 1 h.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-8))\/(6\/8). Let q be (6\/9)\/(u\/(-9)). Let t = q - 0. Which is smaller: 2\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tprurrtuttutrttrguu. Give prob of picking 2 t.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 + 2 + 6 - 8.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 21 - -24 - (-9 - -23)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 24 - 24 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-177573)\/(-6) + 114\/228.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 19 - 21. Let t be 12\/p - (-1060)\/8. Find l such that -2*l - 131 - l**2 + t = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20*a**3 + 16*a**2 + 67*a - 52. Give h(-4).\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 + 2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*a = 2, 68*u - 72*u - 2*a + 28 = 0. Solve u*b = -5*g, -g - 17 = 2*b - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (4 - 4) + 600 + -601.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303612 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-64) - (-221)\/68)\/65\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*2\/52 - 58911\/(-3497) is divided by (1 - 2)\/(1\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-35) + (-180)\/(-7). Suppose -j = 5*h - 6*h. Calculate the greatest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**2 + x - x - 1. Let s be w(1). Suppose s*y - 4*y = 16500. Round y to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -15*r**2 - 26*r - 7. Let v be q(-6). Let j = -386 - v. Solve -8 = u - j*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-72)\/(-144)*-1*2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(3\/13))))\/o*o*((o*((o\/o**(4\/13))\/o*o)\/o*o)\/o)\/o)\/(o*o\/((o\/(o\/(o*o**(-3\/8))))\/o)*o*o**6) assuming o is positive.\nAnswer: o**(-927\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256)*1)\/(4*(sqrt(8) + sqrt(2))).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 - 1305*u**2 + 3973725*u - 1070067375 = 0. Calculate u.\nAnswer: -1131, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 + 12 = 0. Let o = -4 + 7. Which is the nearest to -2\/3? (a) -2 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l. Let d(c) = 15*c**2 + 102*c. Let x(k) = -5*k**2 - 36*k. Let s(i) = -6*d(i) - 17*x(i). Give s(g(f)).\nAnswer: -320*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/24)\/(1\/(-30)). Suppose j*k - 2*k = 136. Find v, given that -7*v + k*v**2 - 45*v - 16 - 3*v**2 = 0.\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2187) + 0).\nAnswer: -81*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*p - 3*p. Let i = p + -79. Let c = 7\/5 + -57\/55. Find the common denominator of c and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15963?\nAnswer: 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/6 + 149\/12. Find the common denominator of -3*1*274\/108 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210558125 divided by 125?\nAnswer: -1684465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 2733 = -17*w + u, 0 = 5*w + 4*u - 6800. List the prime factors of w.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-11 + 16 - (18 - -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from zfioqii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1332?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -469.776487.\nAnswer: -469.776487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 16 - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2000*o. Let n(x) = -7*x**2. Determine n(r(t)).\nAnswer: -28000000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6589 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 1709, 5857, 13931, 27239, 47089?\nAnswer: 74789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 16*s - 18744. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000129229 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 9. Let g(j) = 2*j + 4. Let h(s) = -4*s - 8. Let i be h(-6). Suppose -5*m + 5 = -5. Suppose -6*b + m*b = -i. What is b*q(c) + 9*g(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 19.32.\nAnswer: -3.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 687*i**3 + 166779*i**2 - 16196733*i + 463852656.\nAnswer: (i - 213)**3*(i - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2113 divided by -11\nAnswer: -2113\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0 - 7\/24*i**4 + 1\/2*i**3 + 12*i**2 + 0*i. Let k be s(-1). What is the highest common divisor of k and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t. Let b = -16 + 16. Suppose -f + x = -0*f - 5, -f + 3*x + 5 = b. Let q(k) = 6*k - 6*k - 2*k**2 + f*k**2. Calculate r(q(j)).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14902447*i*y + 123*i - 2*y - 133138 wrt y?\nAnswer: -14902447*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in -11, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8\/(r**(-2\/17)\/r)*(r*r**(-9))\/r**(1\/9) assuming r is positive.\nAnswer: r**(154\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 284.7041 meters?\nAnswer: 284704100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 763352396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656263.\nAnswer: 656263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -31, 12, 73?\n\"Answer: 9*h**2 - 2*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -375.83594 + 0.19594. What is p rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.355 + -13.0935. What is f rounded to 2 dps?\nAnswer: -3.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 5, c: 3, g: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.22 + 0.22. Let k = 26051\/12 + -2176. Let f = k + 19\/4. Which is the closest to 1? (a) g (b) f (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**5\/60 + c**3 + 5*c + 7. Let m(x) be the third derivative of l(x). Let v(o) = 21*o. What is m(v(z))?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (88\/33)\/(4\/6). Solve -8 = -3*a + t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 7*j**2 - 6*j + 3. Let f be o(6). Differentiate -26*k**2 + f*k + 58 - 65 - 3*k wrt k.\nAnswer: -52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovsvrrbobsbbvon. What is prob of sequence ro?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.34 - 1.66. Put i, 0, 5, -4 in descending order.\nAnswer: 5, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -49.36. Let z = -1.64 - m. What is the third smallest value in 2, 1\/10, z, -0.027?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 14, 524 in ascending order.\nAnswer: 3, 5, 14, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/6682500 and 139\/59400.\nAnswer: 13365000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-15)\/120 - (3 - 4). What is the nearest to i in -9\/748, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 1, 2263 in increasing order.\nAnswer: -89, 1, 2263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 616*q**2 - 5*q - 6. Suppose 2*h + 3*h + 30 = 0. Let o be s(h). Suppose k = -k + o. Round k to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 3. Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 + -230?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 12 - 64. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866587797 to the power of 1\/2, to the nearest integer?\nAnswer: 29438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**2 - 3*n**2 + 9*n**3 - 19*n**3 + n + 9*n**3 to u*n**3 + o*n**2 + a + k*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 3 - 18*w**2 + 3 + 22*w**2 + 125*w**3.\nAnswer: 125*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*l**3 + 56*j**3*l**2 + 2*j**3*l - 86*l wrt l?\nAnswer: -6*j**3*l + 112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 2}. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/((sqrt(77) - sqrt(77)*-4)\/sqrt(7)))**2 + (sqrt(8) - sqrt(200)*-1)\/sqrt(4) + 1.\nAnswer: 27\/25 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -159, -356, -695, -1224, -1991?\n\"Answer: -8*j**3 + j**2 - 50*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 25 = 7*p. Let j = -261 - -266. What is the closest to p in j, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 i when four letters picked without replacement from giggvvvgvvig.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6047 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*f + 63*f = 2486 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(-3*sqrt(4)*-2).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 490783 and 490876 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4048*r + 5089*r - 11872*r + 4217*r.\nAnswer: 1482*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/2)\/(4\/8). Suppose 6*c - 2*c = -b + 20, d = 3*c - 3*b. Solve -5*o = c*r + 30, 4*o = -r + 5*r + 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 94. Let i(h) = -2*h + 95. Determine -3*a(m) + 4*i(m).\nAnswer: -2*m + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*t = 9 + 1, -t + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 41*q + 174. Let o be m(29). Let r = 2087\/12 + o. Let b = -0.05 + -0.35. What is the third smallest value in b, -1\/4, -3\/2, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2 and (6\/4)\/((-75)\/(-215)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j*j**(-21))\/j))**(-1\/9)*((j\/(j*j*j\/((j**(-13)\/j)\/j))*j)\/j*j*j)\/(j*j*j**(-1\/15)))**10 assuming j is positive.\nAnswer: j**(-1724\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (133\/(-63) - -2)*-27\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131 * 1.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*g + a, 0 = 5*g + a + 2*a - 29. Suppose z + g*z = 30. Solve 3*u - u + z = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -0. Let p = 1.97 - -0.03. Let n = -0.7 - -1. Which is the closest to 0.1? (a) p (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + ((1 + sqrt(128))*2*-3*3 + 5 + 2)**2).\nAnswer: 3168*sqrt(2) + 41591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 1 = 4*r + 31, 58*r = -2*c + 53*r - 42 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 at most -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 42. Let r be p(19). Which is the nearest to 0.1? (a) r (b) 0 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3191774*x**2. Let n(z) = 42*z. Calculate n(t(d)).\nAnswer: -134054508*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.13646\nAnswer: -0.054584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0708 - 9232676190.\nAnswer: -9232676189.9292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/249606 and 133\/18.\nAnswer: 249606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4731 - -4744. Let o(f) = -3*f - 11. Let w(y) = 2*y - 16*y + 4 - 1 - y. Let v(q) = -7*q + 1. Let t(j) = 13*v(j) - 6*w(j). Calculate d*t(m) - 6*o(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527704022 to the power of 1\/2, to the nearest integer?\nAnswer: 67288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s + 3. Let v(i) = 9*i + 6. Let f(d) = d - 1. Let u be f(-1). Let y(t) = u*v(t) + 5*o(t). Let k be -1 + (-5)\/10*2. What is y(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**5*x**(-8))**(2\/31) assuming x is positive.\nAnswer: x**(-2\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4229 - 10.4229. Which is the second biggest value? (a) m (b) -3\/10 (c) 5 (d) 2 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 92. What is the greatest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 4 (c) 107 (d) -4\/3 (e) -7\/3 (f) -0.3 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-1)\/(-14)*7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4033684779, 4033684780, 4033684781?\n\"Answer: i + 4033684778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-24) - 14\/(-56).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12204 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 79*x**2 + 3*x - 15*x**4 + 36*x**4 - 20*x**4 as l*x + d + q*x**4 + w*x**2 + r*x**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20359 - 8975. List the prime factors of i.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306155?\nAnswer: 5, 61231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-v - 2 + 2) + 0 + 4*v + 0 + (2 + 1 - 1)*(-6*v + 3*v - 4*v)*(4 + 11 + 6).\nAnswer: -287*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/90)\/((-2)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31242 is divided by 496.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 2. Calculate z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(130) + (-5*(sqrt(130)*2 + sqrt(130)) - sqrt(130)) - sqrt(130)))\/(1*(sqrt(90) - 2*sqrt(90))))**2.\nAnswer: 53248\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 7) to base 15.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 14 - 4 = 0. Suppose -13 = h*t - 25. Suppose 0 = -t*g + g + 240. Does 35 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23 (b) 0.2 (c) -2\/13 (d) 932\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 7*v**2\/2 + 193. Let j(m) = -100 + 202 - 102 + 11*m. What is j(u(f))?\nAnswer: 77*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by (-56)\/(-21)*(-1)\/(2\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - p + 5, -10 = 5*f - 2*p. What is the second smallest value in f, 7\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1 + 15*l**2 - 19*l**2 - 2*l**3 + 3*l**3. Let h be s(3). Is h at least as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 160*j + 874. Determine b(45).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 3, b: 10, m: 2}. Give prob of picking 1 i, 2 m, and 1 p.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*j + 12. Let q = 124 + -60. Suppose -q = -3*l + b, -l = -3*b - b - 3. What is the remainder when l is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 18 - 0 - (15 + (-2 - 5) + -82).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003921527 rounded to 6 dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 47*z + 108*z - 53*z)*(4*z - z - 19 + 20).\nAnswer: 24*z**2 + 26*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1143119552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 2\/23, 2, -1.27, 22.2?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.764 - 19.764. Which is smaller: m or 1.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7021 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64739208505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/5069, 24\/119 in increasing order.\nAnswer: -4, 2\/5069, 24\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/24 - 5*m**3\/6 - 4*m**2 + 13. Let v(x) be the second derivative of h(x). Is 6 a factor of v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3 + 116*l**2 + 330*l = 0.\nAnswer: -55, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.1 times 274?\nAnswer: 6877.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.4 - 5.9. Let w = 0 - -0.1. Which is the nearest to -1? (a) w (b) l (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 8*c**2 - 8*c - 8. Suppose -2*m - 10 = -7*m. Suppose 0 = m*b + 5*v - 6, 5*v + 0*v + 15 = -5*b. Let o be j(b). Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -115\/3. Which is smaller: n or 2\/209?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/4*75\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -491, -1103, -1961, -3065, -4415?\nAnswer: -6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(336))\/((sqrt(112) + sqrt(7))*2) - (-2*(sqrt(192) + (2 + sqrt(192) - sqrt(192))) + -4))**2.\nAnswer: 1344*sqrt(3)\/5 + 22768\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*i = 23*t - 588*i - 94, -t = -5*i + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4496 - 2087. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 9. Let v(o) be the second derivative of 2*o**2 - 5*o. Let y(u) = -4*p(u) - 10*v(u). Let d(a) = a - 1. Let s be d(-3). Calculate y(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276674797?\nAnswer: 7, 23, 1718477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93663, 187302, 280941, 374580, 468219?\n\"Answer: 93639*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 156*x = -154*x - 6, -x = -d - 3. Let i = -1 + 2. Let o = 2 - i. Is d equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 39*u - 63. Let k be ((-42)\/15)\/(1 + (-85)\/75). Calculate r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckckcccccx. What is prob of sequence kckx?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**3 + 5*t - 5. Let u(n) = -11*n**3 - 6*n + 6. Let o = -417 + 423. Determine o*v(d) + 5*u(d).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 325.33 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9650?\nAnswer: -9650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -156*g**3 - 240*g + 436*g**2 - 169*g**3 + 88*g**3 + 30*g**4 + 29*g**3 - 18 = 0.\nAnswer: -1\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(13) + 1)**2 - sqrt(13) - ((sqrt(117) + 2)**2 + sqrt(13))) + sqrt(91)\/((sqrt(7) + sqrt(21)\/sqrt(3))*6).\nAnswer: -107 - 191*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 - (-5 - -2 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(0 + 0 + 1)*(-157*p**3 - 157*p**3 + 33 + 317*p**3) to the form k*p**3 + b + d*p + w*p**2 and give b.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/747 and 5\/5312.\nAnswer: 47808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (2 - -2) + 0 - -67.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) + (-2)\/(-5). Suppose -3*i + 11 - 26 = 0. What is the biggest value in 0.3, i, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-4) + (-69)\/(-27)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffzf when four letters picked without replacement from {f: 4, z: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 10, h: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 820114033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0) + -2 - -2 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1863909329 to the nearest integer?\nAnswer: 43173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + 5*(sqrt(539)*2)**2 - 2*(-3 + (sqrt(539) + 2 - sqrt(539)))).\nAnswer: -21558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*v**3 - 897*v**3 + 449*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 less than 277089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 4002150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(76))**2 + (-1*sqrt(114))\/sqrt(6) + (sqrt(1900) + sqrt(1900) + (5*(sqrt(1900) + 2) - sqrt(1900)) - (-1 + -1 + sqrt(1900)))**2)*4.\nAnswer: 4796*sqrt(19) + 190880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f**2 - 31*f**2 - 39*f**2)*(-5*f**2 + 2*f**2 + 2*f**2)*(-f - 2*f + 7*f).\nAnswer: 232*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 18. Let h be w(-8). Let p(l) = -4*l**h - 2*l**2 + 4*l**2. Let d(c) = -4*c**2 + 2*c**2 - c**2. Determine d(p(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - 0.27. Let o = 1 + y. Let z = 0.6 - o. What is z rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12960)\/(-14400)*(0 - (-2)\/18).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -2, 66\/349, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 15*c = 72. Suppose 0 = -2*f + 2. Suppose -3*v + 32 = 4*m, c*v - f = 4*v - m. Solve 2*x + 10 = v*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0 + 6. Differentiate 7 + 0*s**3 - 2*s**w - 6*s**3 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6*-12 - -2. Suppose j = -j + h. Let s(w) = 2*w + 1. Let a be s(j). Calculate the greatest common factor of a and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2575)\/(-1030)*4\/115.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 777*r**2 + 59856*r + 1443156.\nAnswer: 3*(r + 58)**2*(r + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, b: 6, i: 1, u: 1, v: 3}. Give prob of sequence ib.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 7. Let r(k) = 219*k**2 + 0 - 220*k**2 + 4. Give -7*r(h) + 4*y(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40492 and 201696?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmd. Give prob of sequence md.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -1\/10*b**2 + 1\/100*b**5 - 1\/20*b**4 - 50*b + 0 + 1\/10*b**3. Let u(k) = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -p - 9. What is the remainder when 16 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:31 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/323 - -681\/11305. Is 0 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - (-12 - (0 - 6)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-153)\/12 + (-9)\/(-12)*1. Suppose -3*w - w - 16 = 0. Let r be -4*w\/n*1\/6. What is the nearest to 1 in -0.3, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 5\/6*u**6 + 0*u + 5 + 21\/4*u**4 - 17\/5*u**5 - 11\/3*u**3 + u**2. Factor g(q).\nAnswer: q*(q - 1)**3*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(475))**2 + (2*(sqrt(114) + 5*sqrt(114)))\/sqrt(6).\nAnswer: 12*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 1 + 1)\/(7 + -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(931)*2 + -2 + (sqrt(931) - (4 + sqrt(931)*4)))**2*-3.\nAnswer: -3036 - 378*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 22103 = f. Calculate the highest common divisor of f and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -139, -138, -137, -136, -135?\n\"Answer: g - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y - 1. Let f be u(5). Let l = 68 - f. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/196 and -95\/238.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140*n**3 - 118*n**3 - 12*n**3)*(3*n - 3*n + n**2).\nAnswer: -270*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150950257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*l - 255, l - 40 - 57 = 2*r. Let i = l + -85. Solve -5*d - 23 = -2*f, -d - i*f + 10 = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -7\/6*t**3 - 4*t**2 - 1\/12*t**4 + 0*t + 0. What is b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/5))**(-23)\/(m**(-2\/3)*m**5))**(-2\/85) assuming m is positive.\nAnswer: m**(268\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Let i be (d - 0)\/(2\/8). Let t = i + 25. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by -220?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 5316.\nAnswer: 1\/5316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7314 + -7276. Let b(m) = m**2 - 36*m - 65. Calculate b(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-15))\/((-1)\/6) + -3. Sort 2, -9, k.\nAnswer: -9, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -0.229, -4\/7?\nAnswer: -0.229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**2 + 3*g - 3. Let j be v(3). Let f = j + 81. What is the units digit of (f\/(-6))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1\/7 (c) 1\/6 (d) 63 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(13\/104). Suppose -m = -2*p + 4661, -4676 = 2*p - w*p - 2*m. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3314*j - 32012 = -22070 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*v + 144 = 44, 2*v = 0. Suppose 2*k = -a + 30. What is the highest common factor of k and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 + 1. Calculate the smallest common multiple of b(-1) and (-8)\/8 - ((1 - -1) + -8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3*s + 23, 51*p - 5 = 50*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 649588022 to the power of 1\/2, to the nearest integer?\nAnswer: 25487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*r + 150*r - 443928. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1011, -2\/19, 0.5, -3, 2\/5, 2\/347, 4?\nAnswer: 2\/347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 30. Suppose w*o - 2*o + 25 = 0. Let i(t) = 7*t**2 - 5*t - 8. Let b(v) = 3*v**2 - 2*v - 4. Let h(f) = 5*b(f) - 2*i(f). Calculate h(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -124*z**3\/3 + 5*z + 150. Differentiate d(i) wrt i.\nAnswer: -248*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 136*s**2 + s - 2. Let j(a) = 272*a**2 + 3*a - 5. Let m(c) = -2*j(c) + 5*l(c). Is 15 a factor of m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11692 - -10.6644.\nAnswer: -11681.3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304 + 303. What is the tens digit of (7 - -522) + c + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-141)\/1786)\/((6405\/(-280))\/(-61))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83\/12 - 26827\/3876. Let n = h - -1457\/35530. Let v be 2\/(6 + 0 - 4). Is v < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035218558 rounded to four decimal places?\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3931247*t**3 + 9938715*t wrt t.\nAnswer: 23587482*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25 - 42) + (2 - -83) - 21) + 13.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -253736 (base 11) to base 13\nAnswer: -1101c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19503, -38990, -58477, -77964, -97451?\n\"Answer: -19487*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6 + 4 = 0, 14 = -2*u - d. Let l(o) = -2*o - 2. Let y be l(u). Let q = 19 - y. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = 5. Let r = -0.3 + 0.5. Let d = -0.3 - r. Put 0.4, j, d in descending order.\nAnswer: 0.4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7868 and 13.\nAnswer: -102284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 18*p**2 - 3. Let k be u(-18). Let x be 2\/(455\/(-155) - k). Suppose x - 117 = -2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -4 - (-1 - (9 - (-6 + 43))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/3645 and -109\/16200?\nAnswer: 145800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 10, r: 3, j: 2, b: 3}. Give prob of picking 1 r and 1 t.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u + 2*u)*(25*u + 3*u - 12*u)*(1 - 12 + 24) in the form r*u + v*u**2 + t and give v.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - i**4 - 3*i**2)*(i + 0*i - 3*i) + (-8034*i**3 + 12*i**4 + 8034*i**3)*(-2 + 2 + 2*i).\nAnswer: 26*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 6*b = 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**3\/6 - 3*z**2\/2 - 3*z. Let m = -4 - -6. What is the remainder when c(6) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 9*u**2 - 8*u - 3. Let z be q(-8). Let k be 2\/(-4)*-2 - 5. Let t be z*k\/(-6)*-4. Calculate the highest common factor of t and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/5 + 627*h\/5 - 1908\/5 = 0.\nAnswer: -212, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 1 - 2 + 6 - 2*z. Determine t(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 49. Calculate the remainder when 114 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -43) + 24 - 30\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*l - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2495, -7823, -13157, -18503, -23867, -29255, -34673?\nAnswer: -40127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -626, -6 in ascending order.\nAnswer: -626, -6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 412*z**2\/3 - 137*z.\nAnswer: -z*(z + 1)*(z + 411)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g = -28. Let f(a) = -2*a**3 - 14*a**2 - a - 2. What is the least common multiple of 7 and f(g)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1105 - -342. What is d rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 + 2*q + 3 + 3*q**2 + 14 - 11*q**3 + 2*q. Let f be d(-4). Suppose -9*s = -4*s - f. What is the remainder when s is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/44*1*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 858679 + 858679.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4109*0.4307\nAnswer: -1769.7463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/(5*77\/1210). Is v less than or equal to 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529725833 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6303.635 millennia?\nAnswer: 63036.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/42)\/c**(-5\/2))\/(c\/c**10)**(-50))**(-30) assuming c is positive.\nAnswer: c**(93970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15736023 divided by -111603.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/192 and -79\/17616.\nAnswer: 70464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -27324, -2, 0, 2, 10 in decreasing order.\nAnswer: 10, 5, 2, 0, -2, -27324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t + 4. Let b(j) be the second derivative of -j**3 + 0 - j + 3\/2*j**2. Suppose -z = -0*z + 4. What is z*f(p) + 5*b(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 2*o - 21, s - 6*o - 2585 = -2506 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**8\/h))\/h)\/h)\/h**(1\/6))**(-5)*((h*h**(2\/17))\/h)\/(h*h**(2\/27)*h)*(h**0)**(-29) assuming h is positive.\nAnswer: h**(35689\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18*p**4 - 3*p**3 - 3*p**2 - 6*p + 15. Let g(t) = t**3 + t**2 + 2*t. Let u(f) = 3*g(f) + y(f). What is the first derivative of u(b) wrt b?\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7259 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**5\/65 + 4*c**3\/39 - 2*c\/13 + 14. Factor m(k).\nAnswer: -2*(k - 1)**2*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 1. Let m(g) = 2*g + 1. Suppose -5*b + 4*p - 18 = -0, 16 = -3*b + 5*p. Calculate b*m(n) - 3*k(n).\nAnswer: 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 1. Let r(w) = -2*w**2 - 3*w - 1. Let o(p) = r(p) - 3*v(p). Suppose o(s) = 0. What is s?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 79. Let c be p(-17). Let f(s) = -105*s**2 - 91. Let r(g) = 7*g**2 + 6. Let j(n) = c*f(n) + 91*r(n). Let m(v) = v. What is j(m(q))?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -415 - -1a31?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -719427*o**6 - o**2 - 957445.\nAnswer: -86331240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -35. Which is the second biggest value? (a) l (b) 1\/2 (c) -1\/4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*u - 378 + 68 = 0. Let b(s) = 2*s**3 - 2*s**2 - 2*s + 2. Give b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let w(t) = 0*t**2 + 2 + 5*t**2 - 2. Give s(w(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 - 26*b**2 + 2*b - 5. Suppose -2*a - 6 = 0, 4*n = -0*a - 3*a - 33. What is the units digit of l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -190*n**3*o*r**2 - n**3*r + 412*n*o*r + 10*o*r**2 + o*r - 2*r wrt r?\nAnswer: -380*n**3*o + 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*g - f - 6, 3*g = f - 4. Let z(u) be the first derivative of -7*u**4\/2 + 601. What is the remainder when 68 is divided by z(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by -12.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2014946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/143? (a) -1 (b) -3\/4 (c) 1 (d) -0.3 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 706 divided by -120\nAnswer: -353\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 6}. What is prob of picking 3 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5 + 2376*z**4 + 469826*z**3 - 3912528*z**2 - 469825*z + 3910152 = 0?\nAnswer: -191, -1, 1, 8, 2559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/12 + (-77)\/(-28). Solve 0*l - 9 = -5*s + 3*l, -c = s + l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -574 - -790. What is the highest common factor of 360 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -0.85. Let g = k + -1.2. Let w = 32 - 37. What is the second biggest value in -4, w, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 329 = -317 + 655 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7395 * -3.5\nAnswer: -25882.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 227 + -103. Suppose -9*u = -15*u - 6. Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54381170 and 205?\nAnswer: 54381170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 311\/8 (c) 4029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**6\/120 - 11*k**5\/60 - k**4\/3 + 7*k**3\/3 + 614*k**2 + 9*k. Calculate c(-8).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -0.014. Let p = -0.01705 + f. Round p to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4109, 16381, 36827, 65447, 102241, 147209?\nAnswer: 200351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/630 + y**4\/126 - y**3\/63 + 28*y**2 - 28*y. Factor k(a).\nAnswer: -2*(a - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 3541779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 50, 98, 154, 212, 266, 310?\n\"Answer: -b**3 + 13*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -157, -12, 1, 5 in decreasing order.\nAnswer: 5, 3, 1, -12, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from ymymy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2587 less than or equal to -2589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599515 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 8*p + 2. Suppose -4*r + 2 = -4*i + 42, -4*i + r + 34 = 0. Let q be (-12)\/(-6)*i\/2. Let k be x(q). Sort 0, k, 4 in decreasing order.\nAnswer: 4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20304)\/(-1134) - (-2)\/21. Let b = 22 - i. Solve c + 0*c = b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/(q\/((q*q**(-1))\/q))))\/q))**(11\/3)\/(q**(1\/7)*q**(-2\/9)) assuming q is positive.\nAnswer: q**(5\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 49 = -39*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135728 is divided by 90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 2 y when four letters picked without replacement from {y: 3, h: 4, c: 3, q: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/2 - 4*o**2 + 10*o. What is the first derivative of a(t) wrt t?\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3*y - o**3 - 14*o**2*y + 25876*o**2 - 67134*o*y + 9*y wrt o?\nAnswer: -12*o*y - 6*o - 28*y + 51752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -49\/2041517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4457278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*d**5 - 862*d**3*s*z - d**2*s + 29*d*s*z + 134*d*s wrt d.\nAnswer: -140*d**3 - 5172*d*s*z - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -596, -4757, -16046, -38027, -74264?\n\"Answer: -594*w**3 - 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - 8*r - 2. Let m(g) = -2*g**2 + 2*g. Let a(w) = -3*w**2 + 3*w. Let n(j) = -3*a(j) + 4*m(j). Determine k(t) - 6*n(t).\nAnswer: -t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -190260571?\nAnswer: 5\/190260571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*l - 6 - 24, v + 4*l + 3 = 0. Let w(g) = 71*g - 22. Let t be w(3). Let n = t - 187. Put 2, v, n in ascending order.\nAnswer: 2, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 3*i. Let b be k(4). Let o = -5 - b. Let v = 40 + o. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 678\/(-1130)*10\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 7*t - 3. Let x(a) = 17*a**2 + 29*a - 13. Calculate 9*j(w) - 2*x(w).\nAnswer: 2*w**2 + 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 65 = 2*l - 4*y, 3*y + 274 = 5*l. Let f = 123 - l. Suppose 4*g = -5*q + 144, 0 = q - 0*q + g - 29. What is the greatest common divisor of q and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1956392*a*h*p - 2*a*h - 21*a*p + 334*a + 94*h*p - 2133*p + 2 wrt h.\nAnswer: 1956392*a*p - 2*a + 94*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 12*g - 19. Let x = 102 + -92. Let f be s(x). Suppose 6*b = -m + 4*b + 19, b - 21 = -m. Calculate the greatest common factor of f and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/8)*o**(-2)*(o\/o**(2\/5))**(3\/43) assuming o is positive.\nAnswer: o**(-3153\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 4:56 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 2. Let m be p(2). Suppose m = -2*x - 0*x - 4. Let s be 2 + 0 + -2 + x. Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5\/7 - 3*a**4 + 39*a**3\/7 + 9*a**2\/7 - 54*a\/7 = 0. What is a?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -53.5?\nAnswer: -53.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 10*q - 11. Let u = -31 - -38. Let p be r(u). What is the greatest common divisor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214191053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 31*t**2 - 38*t - 236. Determine l(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2134512 and 232776.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1171 + 1174. Solve -i = -4*o - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 25 = 1. Calculate the highest common factor of w and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 * 789889.3\nAnswer: 27646125.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/192 + ((-7)\/6)\/7.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 50. Suppose q + q = -n + c, -q = 2*n - 12. Solve 3*i - 7*r = -2*r + 20, -5*r - q = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -702*t + 7. Let w(c) = -4*c - 1226. Give w(x(i)).\nAnswer: 2808*i - 1254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 540662227?\nAnswer: -540662227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y - 2*y**3 + (-1 + 1 - 2*y)*(-5*y**2 + y**2 + 2*y**2) + 0 + 2*y**3 + 0 + y**3 + 4*y**3 - 3*y**3 - y**3 - 2*y**3 + 0*y**2 + y**2.\nAnswer: 3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15480\/641719 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 163949859 or 163949860?\nAnswer: 163949860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 13*s + 14. Determine i(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238468 is divided by 7226.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -623666, -623660, -623652, -623642, -623630, -623616, -623600?\nAnswer: -623582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhhdhhhdhdh. Give prob of picking 4 d.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 930?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/50 + 123\/30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101101100010 (base 2) in base 14?\nAnswer: -106d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201077266?\nAnswer: 2, 13, 19, 491, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let q(v) = -320607*v**2 + 3*v. Give d(q(i)).\nAnswer: -641214*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1 = 5. Suppose 13 = 3*f - y, -2*y = -4*f + 35 - 21. Is f equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) 55 (c) -2\/11 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + g = -24. What is the units digit of g\/(2\/1588) - (-3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3014 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b + 10. Let u(f) = f**2 + 5*f - 8. Let i be u(b). Let c = 9 - i. Solve -t - 2*t + c = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/12 and -151\/151998.\nAnswer: 303996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3196 and 13600.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i - 210. Let g = -40 - i. Calculate the lowest common multiple of 18 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54868 + -19.\nAnswer: -54887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/230942, -14, 4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*m**2 + 97*m**2 + 134*m**2.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = k - 4, 2*k + 4 = p + 12. Let q(t) = p - 8*t + 9*t - 3*t**2 - 6 + 4 - t**3. Determine q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + l**2 + 6*l + 2. Let c be g(3). Suppose 2*w = -5*a + 27 - 7, -c*w = 0. Solve -4*p = -5*r + 3, 0*r - 8 = a*r + 2*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808824.1 decades in months?\nAnswer: 97058892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21679739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v + 75. What is the tens digit of h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a microgram in nanograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45.501+-136353365\nAnswer: -136353319.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 + -3c8014?\nAnswer: -3c7cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6268?\nAnswer: -6268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2976, -5950, -8924, -11898, -14872, -17846?\nAnswer: -20820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34436505 (base 7) in base 2?\nAnswer: 1011100000110011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003269118 rounded to 7 dps?\nAnswer: 0.0000327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -289976 and -206.\nAnswer: -290182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -66, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -58*j. Solve j*b - 5*b + r = 7, -b + 5*r = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 + 5*m + 8. What is the units digit of h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*d + 458*d + 6048 = 0 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2017, -15630, -52605, -124624, -243369, -420522, -667765?\nAnswer: -996780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 18*w**2 + 18*w - 161. Is x(40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133818*(23\/46 + 6\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7030 - 765. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34384869 is divided by 1248?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -559 by -5.\nAnswer: 559\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.19 - 1.556. Let f = i + 0.605. What is f rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 22, -229, -662, -1331, -2290, -3593?\nAnswer: -5294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4*(-2)\/4 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**3\/3 + 37*t**2 + 2*t. Let n = 2444 - 2463. Let j be k(n). What is the greatest common divisor of j and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16221473549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:32 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 - 5*g + 8. Let z be l(4). What is the third derivative of -72*a**3 + 3*a**6 + 2*a**2 - z*a**6 - 106*a + 114*a wrt a?\nAnswer: -120*a**3 - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.011 - 0.029. Let d = 0.16 - g. Let j be 27\/(-12) + 0 + 2. Put -0.1, d, j in descending order.\nAnswer: d, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-15)\/54*3). Suppose m = -t*m + 14. Which is the third smallest value? (a) 10 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r. Suppose 4*a + 12 = 2*f, 0 = 6*f - 4*f - a - 6. Let z(s) = -10*s**2 - 2*s**2 - 4*s**2 - 13*s**f + 6*s**2. What is j(z(x))?\nAnswer: 115*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 143676756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 11. Let q(m) = 9*m**2. Determine i(q(g)).\nAnswer: -9*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3bacc (base 13) to base 8\nAnswer: -332134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.6? (a) 3\/2 (b) 1\/23 (c) -4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/1116? (a) -3\/7 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*y = 367*y + 359*y - 1162*y - 2600 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136 - 130. Let n(s) = s**2 + 115*s - 910. Let h(d) = d**2 + 57*d - 456. Let t(o) = q*n(o) - 10*h(o). Factor t(r).\nAnswer: -4*(r - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1411, -3093, -4775, -6457, -8139, -9821?\n\"Answer: -1682*y + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 13 = 3*n, 2*t - 3389 = -2*n - 3381 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -91*w**2. Let r(v) = -39283*v. Determine t(r(o)).\nAnswer: -140427022099*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 509266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (11 - 7)\/(10\/365) is divided by 78?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/5, -1\/4, 2\/3 in ascending order.\nAnswer: -1\/4, 3\/5, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 184 = 7*a. Calculate the smallest common multiple of 6 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + (5460\/(-245) - -24). Sort 10, b, -370 in decreasing order.\nAnswer: 10, b, -370","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1121898, 2243719, 3365542, 4487367, 5609194, 6731023, 7852854?\nAnswer: 8974687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 - 105837*x + 2115540 = 0. Calculate x.\nAnswer: 20, 35259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 40, 2\/3, 0.053, 11, -0.4, 3, -0.18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 54*w + 634. Calculate the remainder when 3248 is divided by u(38).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by 2.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)\/(2\/6). Suppose w*x - 30 = -3*x. Suppose 6*l - x*l = 36. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + -9. Find the common denominator of 15\/2 and (24\/(-80))\/((-9)\/x).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*w - 3*z + 5*z, -2*w - 2*z - 18 = 0. Let l(a) = -a**2 - 7*a - 4. Let s be l(w). Suppose b + 1 + 0 = 0, s*g - 17 = 5*b. Solve -2 + g = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -377 equal to -377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, 9 in increasing order.\nAnswer: -5, -2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3199 + 15537. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75529318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 46513866 divided by 18561?\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 3*u - 4. Let n be p(6). Suppose -2*a - 4*w = -n, 0*a - w - 103 = -3*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 - 82*n**2 - n - 3432. What is i(42)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -155, -183, -227, -293, -387, -515, -683?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 2*f - 13. Let g be h(6). Let t = g - 11. Solve -2*o + t + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -29. Suppose 0*j + 4*x = j - p, 0 = 5*j - 5*x - 50. Find the second derivative of 256*u**2 - 256*u**2 - 3*u + 10*u**4 - j*u wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115 and 23322?\nAnswer: 116610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5852.73967481 - -0.741.\nAnswer: 5853.48067481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*q**3 + 3*q**4 - q**4 - 121*q**3 + 2 - 15*q - 42*q to y*q**4 + f*q + b + m*q**3 + i*q**2 and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22241 divided by -1.\nAnswer: 22241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -26, 2 in decreasing order.\nAnswer: 2, -0.06, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 11. Let p(o) = -o**2 - 7*o + 3. Let f be p(-6). Let j be y(f). Suppose j*v - 4 = 2. Solve u = v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600.19um to centimeters.\nAnswer: 0.060019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -575527.79 * -0.3\nAnswer: 172658.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32527 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*x + x + 8 = 0, 2*h + 4*x - 16 = 0. Let r(v) = v + 52. Let y be r(h). Suppose -g - y = -2*u - 6*g, 0 = -g + 4. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632.5347 years to millennia.\nAnswer: 0.6325347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, d: 3, o: 1}. Give prob of picking 3 d and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 35814.\nAnswer: 358140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5560 - -5552)*(-4 - 2)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229 + -243. Let y(t) = -10*t - 42. What is the units digit of y(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 32.5. What is the third biggest value in x, 1\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-52)*5\/(-15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5 - 9 = -2*j, -3*p + 13 = 2*j. Suppose -5*v - 9 = -4*b + 11, -j*v = 0. Let l(z) = 5*z + 6. Let c(s) = 3*s + 4. What is b*l(x) - 8*c(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1548 by -86.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -4, 5, -56, 149 in decreasing order.\nAnswer: 149, 5, 0, -1, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - 2*w**2 - 2*w**2 + (0*w - 5*w + 3*w)*(-1 + 1 - 2*w))*(-74*w - 2001 + 2001).\nAnswer: 296*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831676077?\nAnswer: 3, 92408453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 45026580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.87898092 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -2) + 14 + -8 + 0 + -15\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/5315874 and -63\/5206.\nAnswer: 101001606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/5 in -14, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(242)) + ((sqrt(242) - (sqrt(242) + -1)) + -3)**2 + 5 + (-3*(sqrt(242) + (2*sqrt(242))**2) - (sqrt(242) - (3 + (-3*sqrt(242))**2))))*4.\nAnswer: -2844 - 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -36352050?\nAnswer: -36352043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/268)\/((32\/112)\/(11\/(1078\/(-14))))?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -6.1. Let o = 2485240.000052 + -2485235. Let k = o - n. What is k rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 163, -397 in decreasing order.\nAnswer: 163, 0, -1, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m, 3*m - 17 = -5*h - m. Suppose 0 = 3*c + 2 + 25. Let y be (c\/(-15))\/(4\/5). Do y and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4853361 divided by -6?\nAnswer: -1617787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 58073.6718 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 127, 140, 159, 184, 215?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 0.3931490689?\nAnswer: -13.6068509311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41600?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.1773 + -0.1227. Round l to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*l**2 + 36799 - 2*l**3 - 36799 + (-3 + 3 - l)*(-2*l**2 + 6*l**2 - 2*l**2) + 4*l**2 - 4*l**2 + l**3.\nAnswer: -3*l**3 + 17*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 704*k**3 - 8*k**2 - 2*k + 7. Is b(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205413 (base 7) to base 4.\nAnswer: 20223033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*i - 4*i + 2*i - 168*i - 9*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l - 18. Let d(f) = -4*f - 10. Let w(u) = -9*d(u) + 5*t(u). Let b(c) = c**2 - 2*c + 2*c. Give b(w(q)).\nAnswer: 81*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 198, 335, 564, 885, 1298, 1803?\n\"Answer: 46*x**2 - x + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5734.541 grams in micrograms?\nAnswer: 5734541000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 0*w + 4*w + 4 + 2*w - 4 + (3 - 2 + 0)*(-w - 4 + 4) + 71216*w - 55094*w + 116363*w to the form d + v*w and give v.\nAnswer: 132488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.6719824137 + 0.1719819877. Let i = 15.5 + w. Round i to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 176874435 and 0.2.\nAnswer: 35374887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 53*f - 2959. Give u(-87).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -3. Let g(w) = 3*w - 3. Determine g(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-243)\/5)\/(15\/(-50)). Let n = g - 92. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138313885321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - 2.06. Let g = 0.19 - 0.18. Let h = 0.29 + g. Which is the closest to 1\/3? (a) y (b) 1\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 12) in base 6?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/6*53979\/38. Suppose 4*r + p - 2*p = k, -r + 2*p = -1659. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1571*u**5\/10 - 2405*u**4\/12 - 5861*u. Find the third derivative of m(d) wrt d.\nAnswer: 18852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -424 - -472. What is the highest common divisor of 84 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*y)*(16*y + y + 2*y) to the form q*y + b + u*y**2 and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 20\/(-3))\/((-1)\/(-3)). Suppose -i - i = -g - 2, -3*g = -s*i - 2. Let c be (1 - 6)*8\/(-20). Solve -4 = -i*f + c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (15 + 1595468\/(-199430)). Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94165406.8 to the nearest 1000.\nAnswer: -94165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + (2 + 1 + sqrt(147) - sqrt(147)*2*3) + -2 + -3)**2.\nAnswer: 210*sqrt(3) + 3684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.788 - 19.788. Let o = 2 + -3. Let f = -0.6 - o. Which is the nearest to z? (a) -1\/5 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 33. Calculate i(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 m when four letters picked without replacement from muumuuummumm?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/859 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 4978428.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18450010?\nAnswer: 2, 5, 43, 107, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 8*o - 5. Let u(b) = -3*b**2 - 15*b + 9. Calculate 6*u(k) + 11*w(k).\nAnswer: 4*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 + 22332?\nAnswer: 22267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/22 and 20\/4 - (-26)\/996*2825\/(-15).\nAnswer: 16434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-884)\/(299\/(-23)))\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - 24 - (-4 + 14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 240 = 136. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*a - 2\/9 + 2\/9*a**2 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:19 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/29, 85, 462, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 + 205*j**2 - 103*j + 5. Let u be t(-103). Solve u*v + 816 = 781 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-812)\/(-35))\/((-2)\/10). Is (2\/1)\/((-8)\/s) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 - -168.01. Round j to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4560 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78624091 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**4\/12 - g**3\/6 - 3*g**2\/2 - 873*g. Let p(m) = -2*m**2 - 1. Let u be p(-1). Determine y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.108880839 to five decimal places.\nAnswer: 0.10888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*8\/12 - (-14)\/(-3). Which is smaller: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**6\/6 - 6*x**5\/5 + x**4\/4 + 10*x**3 - 1792. Suppose c(i) = 0. Calculate i.\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 - -2 - 0). Let p = 603\/4 - 150. Which is the biggest value? (a) 0.4 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 60\/91 and -25\/287.\nAnswer: 3731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6737 divided by 2.\nAnswer: -6737\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8274\/16 - (-5)\/(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -34, -4, -3830, -18 in decreasing order.\nAnswer: 3, -2, -4, -18, -34, -3830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + y. Let k be v(1). Let j(c) be the first derivative of 0 - c**2 + k*c + 2 + c. What is j(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/11, -3, -5, -0.3, -32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031 less than 1905465989?\nAnswer: 1905465989.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-120)\/(-54) - 2\/9. Let b be (d\/7 - 646\/56)*3. Let a = b + 1247\/36. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -384.66 + 378. Let c = o + -0.34. Let d = -664.4 - -664. What is the second smallest value in c, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6627 by -17502.\nAnswer: -2209\/5834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:04 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 9. Let c(z) = z**3 - 9*z**2 + 13*z + 3. Let o be c(l). What is the highest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 5:31 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -128623.\nAnswer: 45\/128623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234004983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1c?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {k: 11, i: 1, b: 2, r: 3, h: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6090 divided by 105?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032203 (base 4) in base 7?\nAnswer: 20441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4485043*z**2 + 26411428*z wrt z.\nAnswer: -8970086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 + -1 + -1). Suppose 0 = -s*y + 4*y + 12. Let r be y - 0 - -5 - 4\/2. Solve -2*z = -4*b - 5*z, r = 3*b - 3*z - 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waaaaagwaggaayyw. What is prob of picking 2 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 32 and -5\/301636 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11771 - 11779 + 23550 - 33*d**2. Let l(x) = 106*x**2. Calculate a(l(c)).\nAnswer: -370788*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 20*j**2 - j. Let c(z) = -z**3 + z**2 + 4*z - 3. Let r be c(2). Let i be t(r). Suppose 0 = 4*g + 3 - i. Solve -g = -s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -t - 0*t. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h + 8 = 0. Let v(m) = 0 + h*m - 4 + m. Let u be 175\/25 - 9 - (0 - (-1 + 0)). Give v(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*i = 700. List the prime factors of i\/(9\/12*1\/3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -de - -5d23c?\nAnswer: 5d14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 20*w**2 - 3706*w - 1952. Determine i(186).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let q = 1688\/5 + -339. Which is bigger: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2963470995 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 = s, 3*y = s - y. Suppose 0 = 10*r - s*r + 22. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**3 - 16*m**2 - 46*m - 5. What is q(-7)?\nAnswer: 2963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 u when four letters picked without replacement from {k: 5, u: 3, a: 1, n: 2, p: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 36*k**3 + 10*k**2 + 12*k - 80. What is the lowest common multiple of j(4) and 19?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 8 = 3*t, -67*c + 31*c + t = -33*c - 2*t + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 e, and 1 z when four letters picked without replacement from {z: 1, n: 1, d: 1, e: 3, u: 3, i: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -2, 16.706, 12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 317782.7 litres?\nAnswer: 317782700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 785*b**3*n - 53960*b**3 - 344*n - 543304 wrt b.\nAnswer: 2355*b**2*n - 161880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(-20*(-7)\/4620)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 2) + (-4 - -6). Let c = l + 14. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*i + 10 = -558*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/2)\/(s\/((s*((s\/s**(-2\/5)*s)\/s)\/s*s*s)\/s*s))*s**(-5)*s**5 assuming s is positive.\nAnswer: s**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:45 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155293 or -155292?\nAnswer: -155293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**7\/140 + j**6\/80 + j**5\/40 - j**4\/16 - 21*j**2. Factor r(k).\nAnswer: -3*k*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p - 9. Let c be r(-1). Solve 25 = 5*n - 2*h, c = 3*n - 0*n + 4*h - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 12*j**2 - 2*j - 3. What is the units digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 11 - 21*y**3 - 2*y**2 - 4*y**2 - 15. Let b(a) = -22*a**3 - 6*a**2 - 26. Let q(i) = -5*b(i) + 6*k(i). Differentiate q(g) with respect to g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/55 - (-131)\/5. What is the units digit of (c\/3)\/(6\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 191 - 182. Suppose 0 = 4*c + 2*y - 42 + 206, -f*c + 2*y = 109. Let i = c + 10. Is i > -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*i**3*q + 87350*i**2*q**3 - 208177330*q**3 wrt i.\nAnswer: 534*i**2*q + 174700*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 2, a: 1, t: 3}. What is prob of picking 1 n and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245))**2*-4.\nAnswer: -3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*c + 23, 0 = -2*v + 4*v + c - 2. Suppose -5*x = -5*q - 25, 5 = v*q - 2*x + 3*x. Suppose 2*d - 5*r = 731, q*d - 1116 = -3*d + r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3*q + 40, -1000*q - 2*d + 72 = -996*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274*c**2*i**2*r - 507*c**2*r + 2*c*i**2*r - c*i**2 + 41*c*i*r + 254*c*r - i**2*r - 6*r wrt c?\nAnswer: 548*i**2*r - 1014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/14))**(-10\/3) assuming b is positive.\nAnswer: b**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -965113, -1930227, -2895341, -3860455, -4825569, -5790683?\n\"Answer: -965114*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/33 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**2 - 8751844*n - 175038480 = 0.\nAnswer: -20, 2187981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*o - 3*o + 4984, -1663 = -x + o. What are the prime factors of x?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 17*y**2 - 7. Suppose 249 = -4*k + 261. Let f(c) = -c**3 - 13*c**2 + c + 6. Let i(r) = k*f(r) + 2*p(r). What is the second derivative of i(n) wrt n?\nAnswer: -18*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 846 - 846. What is the nearest to 0 in -1\/3, u, -202?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 56. Let r be x(-14). Suppose -4*j + 3*j + 5 = 0. Solve r = 6*c - c + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 + 774 = 5*w. Let u(o) = 24*o**2 - w + 2*o - 5*o + 183. List the prime factors of u(2).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001012220 (base 4) to base 7.\nAnswer: -64554545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**4 - 405*g**3 + 13665*g**2 - 26095*g + 12840 = 0.\nAnswer: -107, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 48 = 2*m, -m - 5*u + 31 = 7. Suppose 70*s = 73*s - m. Let q(o) = o**2 + o - 1. Calculate the smallest common multiple of s and q(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 15*c**2 - 22*c - 26. Calculate i(-6).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-seven halves of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 + 4*w + 1. Let j(l) = 3*l**2 - 3*l. Give 6*j(p) + 4*r(p).\nAnswer: 2*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1117 - 647. Is y*(5\/2 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772493481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -10. Suppose x = -7*t + 4*t - 6. Let i be t*(-1)\/(-3)*1. Which is greater: 2\/9 or i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -12*i + 80. Let h be 1\/(-3)*(5 - i). Solve h = 2*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13033636 and 220220?\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i - 79 = -11 + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 64*g**2 + 266*g + 1563. Give j(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43876.07 millennia in centuries?\nAnswer: 438760.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.99999956 - -25. Round r to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w. Let v(m) = -2. Suppose 0 = -d + 2 - 0. Let h(q) = q + 1. Let p(n) = d*h(n) + v(n). Give k(p(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 7 + -19 - -22.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 610122.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*t - 4. Let p be (-11)\/6 + 1\/t. Put -6, p, -1\/4 in decreasing order.\nAnswer: -1\/4, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a tonne in kilograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -7\/30*l**5 + 0*l + 0 + 0*l**3 - 88*l**2 + 1\/2*l**4 + 0*l**6 + 1\/105*l**7. Solve x(g) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -652 - -653. Let l(u) = u**3 - u**2 + u + 1. Let t(h) = -8*h**3 + 6*h**2 - 6*h - 8. Give a*t(g) + 6*l(g).\nAnswer: -2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -8\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 5 + 16 + 305*u)*(-2 - u + 2).\nAnswer: -305*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2833*a**3*f**4 - a**3 + 31*a**2*f wrt f.\nAnswer: 33996*a**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -5 - (12\/(-30) + (-18549)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 4044200114?\nAnswer: 4044200124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 31 - ((-26 - 7) + 28).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-5 + 1 + 2)*(0*r - 3*r + r)*(122 - 58 - 61).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + m = 2 + 22, -3*m + 17 = u. Suppose 16 = u*r - 24. Calculate the remainder when 20 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f - 162 - 36*f + 82 + 80.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x, -5*c + 5*x = -4*c - 219. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 110 - 4*m**4 - 222 + 110 - 2*m**4 + 4*m**4 + 0*m**4 + (4 + 0 - 5)*(m - m - m**4) + 14*m - 14*m - 6*m**4.\nAnswer: -7*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 6*m + 5*m - m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2120 = -7*u + 190. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74678380 divided by -6\nAnswer: -37339190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56, 169, 358, 617, 940, 1321, 1754, 2233?\n\"Answer: -n**3 + 44*n**2 - 12*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 - -19170758345.\nAnswer: 19170758344.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -49\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - b**3 + 0 + (-5*b + 2*b + 2*b)*(6*b**2 - 2*b**2 - 3*b**2) - 1 + 1 - 2*b**3 + (-22 + 7*b + 22)*(1 + 2*b**2 - 1).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:26 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/6*v**3 - 3*v + 17\/6*v**2 = 0. Calculate v.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 38505.\nAnswer: 115515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1497 - 1496. Which is the closest to 0.1? (a) 0.02 (b) 1\/2 (c) m (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1154583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9091 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 961*x - 770*x + 13483 + 1033 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(567)*-1 + -2 + (sqrt(567) - ((sqrt(567)*-2)**2 + sqrt(567))) - (2*sqrt(35)\/sqrt(5)*4 + 4).\nAnswer: -2274 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6048*w. Let u(d) = -9*d. What is u(m(k))?\nAnswer: 54432*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**0*d*d*d)**(-8))**(1\/18))**(-7))**(31\/3) assuming d is positive.\nAnswer: d**(3472\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*45\/(-90).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.26786ml in litres?\nAnswer: 0.02026786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k - 166. Let g(f) = f - 33. Let m(l) = 33. Let x(a) = 2*g(a) + 3*m(a). Let o(u) = 2*q(u) + 11*x(u). Let n(z) = 2*z. Determine n(o(c)).\nAnswer: 4*c + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -43. Let j be l + 57\/132 + (-9)\/36. What is the nearest to -2 in 4\/5, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -9 + -34 + (59 - 1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 4\/10)*-114555. Let q = s - 32717152\/119. Let v = q + -4\/17. Find the common denominator of v and -21\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -2 - -3)*10. Calculate the highest common factor of m and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 - 8*f**2. Let v(h) = -2*h - 5. Let m be v(-4). Let w(a) = 2*a**2 - 4*a**2 + 3*a**2 - m*a**2. Give w(z(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 2. Suppose 3*p - h + 52 = 0, -h - 74 = 7*p - 3*p. Let k be (63\/p - -6)*4\/(-2). Determine m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.1248 rounded to zero dps?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 27978372*g + 223827104.\nAnswer: -2*(g - 13989194)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107 + -72?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56559511 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -57.5 times 0.7\nAnswer: -40.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213 + -183. Suppose -f - k + l = -63, 3*f = 3*k + 249. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyyywfw. What is prob of picking 1 y and 2 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 5*q + 35, 3*q - 3 = -5*k. Solve 0 = -3*l - k*t - 3, -3*l + 21 = -0*l - 3*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3025 - 33*m**2 - 33*m**2 - 3025 - 44*m**2 + 97*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.14*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42351 is divided by 441.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.053 + 0.086. What is r rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4791, 9579, 14367, 19155, 23943?\n\"Answer: 4788*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-4 + 4 - 8*x**5) + (4 + 2*x - 4)*(-3*x**4 - x**4 + 6*x**4).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00865 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-6)\/(-20)*(-9)\/((-729)\/(-45))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**3\/5 + 1260468*b**2\/5 + 26488228752*b + 9000170314944\/5 = 0.\nAnswer: -210044, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + g + 0*g + (-1 + g + 1)*(3 + 3 - 5) - 4*g + g + 0*g + 0*g - g + 0*g)*(12*g + 9*g + 8*g) to b*g + f*g**2 + p and give f.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -1703*r**6\/10 + 1538*r**4\/3 - 21*r + 92. What is the third derivative of b(p) wrt p?\nAnswer: -122616*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26755 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*m - 50*m + 66 = 47*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000091264 rounded to seven decimal places?\nAnswer: 0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55279 - -6?\nAnswer: 55284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q - 4*q + (-2 + 2 + 2)*(9*q + 1 - 1).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.94585kg?\nAnswer: 945850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/284961441 and -149\/40842.\nAnswer: 1709768646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.1, -0.5, -0.2, -173?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 636\/(-4664) + 669\/66 + 10\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 - 3)*(-i + 3*i + 0*i) + 0*i + 4*i - 2*i - 2 + 6 + 1 - 4*i.\nAnswer: -14*i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*p + 13 = p, p + 3 = 5*m. Suppose -6 = -5*x - m. Solve 3*w = -7 + x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 21. Let r = y + 21. Solve c - 5*c = r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008808 rounded to 7 decimal places?\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 7*k + 3. Let h be p(-3). Suppose h = -2*d - 2, 2*x = -5*d + 3*d + 20. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*w, -17*w + 23*w = 3*o - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 - 184*k**3 - 1978*k**2 - 4556*k + 6720 = 0. What is k?\nAnswer: -80, -7, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, q: 2, i: 2, w: 1, g: 2}. What is prob of sequence xg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2672, 3571, 4466, 5357, 6244, 7127, 8006?\nAnswer: 8881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19135 is divided by 1481?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.8, 0.05, 0.4, 1\/4, 4, 2 in decreasing order.\nAnswer: 4, 2, 0.4, 1\/4, 0.05, -6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2382713.3 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10810 - 12937 = -255*j + 6148 + 15185 for j.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17050 and 232562?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c\/c**4))*c))**13 assuming c is positive.\nAnswer: c**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40870 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:32 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 9 + 9)*(2*w + w + w + (-5 + 6 + 1)*(-w + w - w) + 14*w + 0*w - 6 - 11*w).\nAnswer: 15*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 8. Let d be (-23 - -33)*w*2. What is the greatest common factor of 56 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 22 = 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hff when three letters picked without replacement from fugzghuzuugfhg?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 199475 or 199476?\nAnswer: 199475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 423 and 893.\nAnswer: 8037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10491 = -9*j - 483. Calculate the remainder when j is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/2, 26, 0.1, 3\/7, 1.39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100362.\nAnswer: 2, 11, 95471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 14*i - 32. Suppose i + 26 = a. What is the greatest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10950969 and 1491.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 494759 divided by -494759\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*q - 50*q - 9. Suppose 8*w - q*w = -n + 501, n = 4*w - 408. Let s = -38 + w. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -235 (b) -5 (c) 3\/4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18057, 18012, 17953, 17874, 17769?\n\"Answer: -z**3 - z**2 - 35*z + 18094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0577477 rounded to four dps?\nAnswer: 0.0577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1292 and 1785510?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.8 and -0.06.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 2696*m - 8087\/3.\nAnswer: -(m - 8087)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 51690*y + 413840.\nAnswer: -5*(y - 8)*(y + 10346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -17*t**5\/120 - t**4\/24 - t**3\/6 + 4*t. Let k(d) be the second derivative of i(d). What is the tens digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = 8. Suppose -2*q - u*q = 3*x - 38, -3*x + 30 = 3*q. Suppose -16 = -x*n + 2*n. Solve v = j + j + n, -5*v - 4 = 2*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -20*j - 29. Calculate m(-5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16441286305\/59 - 278760924. Let g = u - -95050. Let h = g - -1285\/944. Calculate the common denominator of -53\/20 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.6. Let x = 0.2 + k. Which is the nearest to -0.1? (a) 5 (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995683947517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -132, -222, -302, -366, -408, -422, -402, -342?\n\"Answer: v**3 - v**2 - 94*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0839 and -17538.\nAnswer: 1471.4382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 6*b - 3*b)*(-3*b - b + 8*b) - b - 3*b**2 + b + (-3*b - b**2 + 3*b)*(-1 - 1 + 0).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 4. Let z = -5 - 5. Let c be ((-4)\/((-24)\/15))\/(2\/4). Let a = z + c. Determine d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3374 + 0.19.\nAnswer: 3374.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -203987, -1\/2 in decreasing order.\nAnswer: -1\/2, -12, -203987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.6 and 24192.2.\nAnswer: 329013.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68292494 divided by 7838?\nAnswer: 8713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 207\/(-99))*(-5 + 7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3\/2)\/3)\/(63\/(-84)). Suppose 4*v = -20 - 0, -5*o = -2*v - 30. What is the third biggest value in 1, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 + 45?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*h = -9, 20 = h + 3*h. Let a = b - 0. List the prime factors of 22 + 3\/a + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -107? (a) 1.4 (b) 2 (c) -2\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 9*s**2 + 14*s. Let z be n(7). Let k be 5*(2\/(-5) - -1). Is k less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - x**3 - 3*x + 0*x**2 - 4 + 6 + 7*x**2 in the form m*x + q + g*x**2 + l*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 236257 and 236244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076 minus 0.21?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111000110111010 (base 2) to base 15\nAnswer: 895e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 11:03 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, -1, -12.5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -16 + 10\/11*u**4 + 8\/33*u**3 + 0*u**2 + 10\/11*u**5 + 0*u. Factor f(s).\nAnswer: 2*s**2*(5*s + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1789, -1788, -1787, -1786?\n\"Answer: q - 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 122, -37 in increasing order.\nAnswer: -37, 2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/(-6))\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/9 (b) -0.2 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17714 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -s - 6, -5*b = 3*s - 110. Calculate the remainder when 143 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -6, 5, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p + 4. Let m(l) = -12*l + 4. Let r(c) = 6*m(c) - 5*o(c). What is r(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k + 120 = 0. Suppose -17*t + 4*t + 30*t = 153. Calculate the least common multiple of k and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 8, -0.01, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39722 divided by 26?\nAnswer: -19861\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -451*j**2. Let d(t) = t. Determine d(a(p)).\nAnswer: -451*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -10 + -21 + 16 - -22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25715.98979 rounded to the nearest ten?\nAnswer: -25720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46118*r**2 - 83511*r**2 + 5582*r**2.\nAnswer: -124047*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3685943 and 6193658.\nAnswer: 2867663654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -385 - -411. Suppose -31*z + 10 = -w*z. Solve 0 = 3*u - u + z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 3, 9, 15, 21?\n\"Answer: 6*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let i(y) = -12*y**2 - 2*y. Give i(f(k)).\nAnswer: -12*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 78. Let j be 2\/(-7) + x\/42. Let s = 3\/7 + -25\/42. Is j <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47652\/7 + 6808. Let 4\/7*u**3 + 0*u + 0 - b*u**5 - 4\/7*u**2 + 4\/7*u**4 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**4\/13 - 18*m**3\/13 - 20*m**2\/13 + 72*m\/13 + 112\/13 = 0.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 133141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*z = 79*z + s - 10, -10*z + 2*z + s = -34 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58*o*u**2 + 405*o wrt u?\nAnswer: -116*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4913.821 rounded to the nearest ten?\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0122 + -0.2878. Let k = 10\/3 + -7\/2. What is the smallest value in k, x, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375337*0.2.\nAnswer: -75067.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141002 - -3?\nAnswer: -1140444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/63)\/((-51)\/119))\/((-2301)\/(-117)).\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (332 + 26*c - 677 + 332)*(-c + 2*c - 2*c).\nAnswer: -26*c**2 + 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 7*v**6\/180 - 11*v**5\/60 - 13*v**4\/6 + 25*v. Let q(a) be the third derivative of z(a). Differentiate q(k) with respect to k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**3 + 32*w**2 - 13*w**2 - 16*w**2 + 64 + 49*w**3 wrt w.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (844 - 1102 - 3494)*(-2*f + 2*f + 2*f).\nAnswer: -7504*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 989, 991, 993, 995, 997, 999?\n\"Answer: 2*w + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -310418?\nAnswer: 23\/310418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 16 = -4*x, 103*y + 16 = 4*x + 98*y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(18))\/sqrt(6))**2*-4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, s: 3, k: 3, b: 1, w: 1}. Give prob of sequence wkb.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25295 - 75883\/3. What is the nearest to w in -9\/4, -4, 12, -7?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r + 2. Let g be -1*9 + -4 + 7. Let m be f(g). Let i = m - -53. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238226 - -4527493\/19. Let h = -63 + k. Find c, given that h*c**2 - 4\/19*c + 2\/19 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7171 (base 12) to base 7\nAnswer: 50635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - d + 2493 = -p, 2*d = -4*p + 1992. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-6) - 0 - 12\/24. Suppose 3*a = -3*f + 12, 2*a = -4*f + s - 1. Solve -a - 1 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5.39.\nAnswer: -2.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31997 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -109*o + 25. Let t(y) be the first derivative of 109*y**2 - 49*y - 16. Let i(w) = -9*p(w) - 4*t(w). Is i(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*13\/(-26)*((-1710)\/(-300))\/19?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/27 - 25\/(-9). Suppose 14 = 2*p + 2*g, 0*p - 3*g - 3 = -s*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 18*r**3 + 4*r**2. Suppose 48*v - 46 = -238. Let s(w) = -w**3 + w**2. Calculate v*s(j) + u(j).\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 281736 and 417616.\nAnswer: 342027504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lvllptpvtpvlvlllv?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 0.1 (b) 0 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**26\/((q**(-2\/5)\/q*q)\/q*q)**(-3\/7) assuming q is positive.\nAnswer: q**(904\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2197\/5460 + ((-26)\/(-10) - 3). Let f(p) be the third derivative of -2\/21*p**3 + 0*p - z*p**6 - 3*p**2 + 1\/105*p**5 + 0 + 1\/84*p**4. Solve f(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6)*(-1 - 247)\/4. Let j = 278 - 187. Is i at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 326, 325, 324?\n\"Answer: -l + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.7 + 12.7. Let s = 17.062 - -0.238. Let o = s + -17. Which is the closest to o? (a) 2 (b) d (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6617 - -0.1457. Round a to two decimal places.\nAnswer: 1.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 22*b + 4. Let o be u(-11). Suppose -o = 3*g + v, 5*v + 16 = -4*g - 4. Suppose g = 33*j - 34*j + 1891. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-50)*(-2*(1 - -3) - (-7300)\/100)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2400 - 45 + 395 - 1062 + f**2 + 4*f - 2*f.\nAnswer: f**2 + 2*f - 3112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/21, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565 a factor of 85016319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v + 27*v = 0. What are the prime factors of 1271\/3 + v - (-232)\/(-348)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 69 - 0. Suppose -17 = 5*f + m. Let c = -7522 + 7521.8. Sort c, f, 0 in ascending order.\nAnswer: f, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -365.5 + 366. Let h be (-3)\/14*(-8)\/(-12). Which is the fourth biggest value? (a) -2\/7 (b) x (c) h (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 676 divided by -1\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (335 - (-8 + 7))\/(6\/4) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 82, 121, 160?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2983882167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369554107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8914 + 1.7914. Which is the third biggest value? (a) -0.4 (b) -5\/2 (c) t (d) 2 (e) -19.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:47 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 9*w - 11*w = -23*w + 6, 4*u - 3*w = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.6 + -1.4. Let b = 0.2 + 0.2. Put 2, b, l in descending order.\nAnswer: 2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a**2 + 6*a - 3. Let y(n) = -24*n**2 - 13*n + 6. Let x(c) = -5*v(c) - 2*y(c). What is x(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2968108 divided by -742027\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-11)\/6 - (-63)\/4914\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45994 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2142.48 + 2142. Which is smaller: f or -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166329 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 5*w - 0, -5*s - 2*w = -29. Put 3, -4, -5, s in increasing order.\nAnswer: -5, -4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59475*k**5*l**3 + 34*k*l**3 - 2*k*l + 37*k + 5*l**3 - 4 wrt k.\nAnswer: 1189500*k**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1, 3, 3\/7, 24, -4 in descending order.\nAnswer: 24, 3, 1, 3\/7, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 376*d + 2 = -377*d, -2*i + 4*d - 10 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Suppose -19 = -l*d + 8. Let a = 3 - -2. Calculate the remainder when d is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*t + 144637 = 0, -96418 = -2*a + 32*t - 30*t. What are the prime factors of a?\nAnswer: 37, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.64063 - 0.49?\nAnswer: -70.13063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (29 - 13 - 4) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 34*m**2 - 16*m + 62. What are the prime factors of q(14)?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1564 + 3*d**2 - 39925*d + 39925*d - 288 - 1276.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -2*w**3\/27 + 50*w**2\/9 + 208*w\/9 + 1556. Factor l(n).\nAnswer: -2*(n - 52)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 3\/4, -0.2, -5, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15930197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32941*n**4 + 31070*n**2.\nAnswer: 790584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -382*f + 53857. Let s be x(141). Let b = -99 - -139. What is the nearest to -1 in b, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 0)*(5*u - 5*u - 4*u)*(-1 + 1 + u) - 2*u**2 + 0*u**2 + u**2 - 2*u - 2*u**2 + 2*u + (0*u + u - 2*u)*(-u + 0*u + 2*u) - 4*u**2 - u**2 + 0*u**2.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/2)\/o*o**(-8\/5)*o*o*o)**(-9) assuming o is positive.\nAnswer: o**(-261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, k: 3}. What is prob of sequence ky?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a8ae + 1?\nAnswer: 1a8af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f**2 + 252*f + 128 = 0 for f.\nAnswer: -1\/2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -12 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -767496, -1535472, -2303448, -3071424, -3839400?\nAnswer: -4607376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6860815?\nAnswer: 5, 13, 59, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 10. Put 1\/3, a, 0.04 in decreasing order.\nAnswer: a, 1\/3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 11:41 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42932 + -28048. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 - 364 + 0*k + 256 + 2*k - 787 to the form u + q*k and give u.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s + 58. Let f(x) = -6*x - 81. Let w(c) = 2*f(c) + 3*v(c). Let r(p) = -42*p**2. What is w(r(q))?\nAnswer: -126*q**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290213088.\nAnswer: 2, 3, 11, 41, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3559841?\nAnswer: 43, 82787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/8*(-6)\/(-9)*12. Suppose c = d + a, -5*a - 20 = -2*d - 3*d. Sort 3, d, 2 in ascending order.\nAnswer: 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 24327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2084 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1991, 7948, 17877, 31778, 49651, 71496, 97313?\n\"Answer: 1986*r**2 - r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/36 and 1\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(833)*5 - (3 + (sqrt(833) + -4)**2)) + -4.\nAnswer: -856 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + 4645 - 1544 - 1555 - 1546.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 681619 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -100979514\nAnswer: 100979519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-11\/5))\/q*(q*q*(q*q*q**(-3)*q*q)\/q*q)\/q)\/(q**(2\/5)*q)**36)**10 assuming q is positive.\nAnswer: q**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0*h - 5*h)*(2*h - h**3 - 2*h + (5*h**2 + h**2 - 5*h**2)*(0*h + 2*h - 3*h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55672234 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(3))*5)**2.\nAnswer: 450*sqrt(3) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12349.97725 rounded to zero dps?\nAnswer: 12350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 571 - 569. Suppose 45846 = 2*l + r*u, -7*u = 2*l - 4*u - 45848. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 56. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 2, v: 2, d: 1, e: 3, r: 2}. What is prob of sequence vr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213608?\nAnswer: 2, 26701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 8 - 2*(-9)\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 545 + -328. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = -m + 23, 2*o - 4*m - 28 = 0. What is the remainder when 22 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 0*m + 0*m**5 + 0*m**3 + 2\/21*m**7 - 7\/12*m**4 + 0*m**6 - 24*m**2 + 0. Find the second derivative of d(q) wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/1530 + ((-6)\/(-675))\/(24\/120).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k + 6*k - 17 + k - 8*k + 5*k as n + b*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -2*w**3 - 4. Let s(g) = 4 - 2*g**2 - 10 + 6. What is s(c(t))?\nAnswer: -72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1483671722741 - 45.\nAnswer: 1483671722696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334065818?\nAnswer: 2, 167032909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.83 + 0.17. Let t = u - 32.0000056. What is t rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 5*x + 1. Let l = -9 - -5. Let g be i(l). Suppose g*j - 22 = 3*d, j + 5*d - 10 = -0*d. Solve j*a - 8 + 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*g + 6159 - 1563 + 3147 = -1026 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + p**3 + (3*p - 2*p - 3*p)*(p**2 + 2*p - 2*p) + 201*p**3 + 42*p**3 - 19*p**3 to the form f*p**2 + x*p**3 + g*p + o and give x.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.075 and -0.042.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 198 = 5*f. Which is the nearest to -0.1? (a) 4 (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose -19 = -3*y + 2*b, -8*y + v*b + 15 = -7*y. Solve 5*z - 6 = 3*x - 0*x, -3*x + 24 = y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137202278*h**2*i + h*i + 525*h - 7625*i wrt h.\nAnswer: -274404556*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.1. Let u = 0.085 + t. Let x = 0.118 + u. What is x rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 plus -5.3?\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12842)\/(0\/(-29) - 2\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11160)\/340)\/9 - -4.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -12*i**2 + 50*i - 4*i**5 - 8 - 2*i**2 - 32*i**2 - 4*i**4 + 5*i**4 - 37*i**2 + 44*i**3 = 0.\nAnswer: -4, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6948\/60)\/((-1)\/(-5) + 0). Suppose -5*d + p = 179. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -494, -685, -962, -1331, -1798, -2369, -3050?\nAnswer: -3847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 + 63*u - 122. What is b(28)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnq when three letters picked without replacement from frqnrnbbrgrgbngrr?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 22*d**5\/7 + 256*d**4\/7 - 1438*d**3\/7 + 1544*d**2\/7 - 384*d\/7 = 0.\nAnswer: -16, 0, 4\/11, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1507, -0.3, -4\/9 in descending order.\nAnswer: 1507, -0.1, -0.3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8*b + 36 = -3*b, 0 = 4*x + 4*b - 96. Calculate the greatest common divisor of 147 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/4 + r**3\/3 + r**2\/2 + 10*r - 4. Let g be c(0). Suppose 0 = -l + 6*l - g. Solve -b + l*b = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(720) - (0 + sqrt(720) + 2))**2 + (sqrt(720) + (-1 + -1*sqrt(720) - sqrt(720)))**2.\nAnswer: 24*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-644)*23*(-8)\/30\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.557 + 0.58. Let o = k - 0.218. Let n = 0.1949919 + o. What is n rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**6\/120 - w**5\/30 + 5*w**4\/12 + w**3 + 4*w**2 - w - 228. What is t(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*-4*(-70)\/(-200)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = -0. Let y be (-77)\/55 + 2\/5. Put -3, y, j in ascending order.\nAnswer: j, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j + 1. Let k(v) be the second derivative of 0 - 6*v - 17\/6*v**3 - v**2. What is 13*h(c) + 6*k(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14436 - 6353. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 1. Let k = 126 - 404\/3. Let z = 28\/3 + k. Which is the nearest to z? (a) -0.5 (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 169*x**2 + 28. Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 576?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, -2238, 0 in increasing order.\nAnswer: -2238, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-27)*i))\/i)\/(i**(-46)*i)*(i\/((i**(-3\/40)*i)\/i))**(2\/103) assuming i is positive.\nAnswer: i**(146303\/2060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(44)*2)\/((sqrt(64)\/sqrt(8))\/sqrt(2)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 175?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrryryyryryrryprpry. What is prob of sequence rryp?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -16, -29, -46, -67, -92, -121?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2111 + -74?\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-6)\/(o**(-1)\/o**(-1\/19)) assuming o is positive.\nAnswer: o**(-21\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11524032*i**4 + 9919815*i wrt i?\nAnswer: 138288384*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 93*-0.12\nAnswer: -11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v + 129. Let x(f) = -11*f + 127. Determine -5*a(g) + 6*x(g).\nAnswer: 4*g + 117","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -17094.62.\nAnswer: -17090.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11971*o + 23950*o - 11963*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5075376 and -7.\nAnswer: 5075369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 - 8 = 0, 2*w + 19 = -z. Let j be ((-2)\/(-29))\/((-7 - 53)\/w). Are 0 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = 4*b, 0 = -b + 4*f - 0 - 3. Let z = 49 - b. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -57*i - 411. Let o be x(-9). Let q = 22 - 12. Suppose -18 = -q*c + o. Calculate the remainder when 54 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-2) + 7)*(-50)\/15. Put -5, 2, w, 0 in decreasing order.\nAnswer: 2, 0, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.66 times 4?\nAnswer: 10.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8477 + -8550.19. Let a = w - -74. Let s = 0.773 - a. What is s rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 11*d - 22. Let z be h(-13). Find the third derivative of -g**2 - 8*g**z + 28*g**2 + 17*g**4 + 4*g**4 wrt g.\nAnswer: 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1822*o**2 + 352*o - 5 wrt o.\nAnswer: 3644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/15 + 2*z + 68\/15.\nAnswer: -2*(z - 17)*(z + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 153, 307, 459, 609, 757?\n\"Answer: -l**2 + 157*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = -16*v + 45 - 66 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 8*h**2 - 4*h + 9. Let g be u(-3). Suppose 1\/2*p**5 + 0 + 0*p - 3\/4*p**4 - 1\/2*p**g + 0*p**2 = 0. What is p?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(7) + (sqrt(7) - (4*sqrt(7) + 2)) + 2*sqrt(49)\/sqrt(7)) - (sqrt(28) + 5*sqrt(28)*-4 + sqrt(28))\/(sqrt(28)\/sqrt(7)*-2))**2.\nAnswer: 216*sqrt(7) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + v**2 + 0*v**2 + 64 + v**3)*(8*v**2 + 11*v - 11*v) + v**2 - 4*v**5 - v**2.\nAnswer: 4*v**5 + 8*v**4 + 32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**3 + m. Let h be u(1). Suppose -20 = 5*b, 0 = -2*w - 0*w - 5*b - 6. Solve -h*r + w = -18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*v + 4859 = -316*v - 888 + 614 for v.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -17. Let w(m) = -1 + 1 + m**2 + k - 36*m + 41*m. Calculate w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 4*w**3 + w**3 - 5*w**3 + 0*w**3 + 6*w**3 + (4*w**2 - 4*w**2 - 2*w**3)*(0 - 2 + 3) - 759*w**3 + 838779*w - 838779*w.\nAnswer: -761*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294 or -292?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.65, 7, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 4. Let y be v(12). Let j = y + -27. Solve -u + j = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from wwwvweewewvvv?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/20 + (-6)\/(-10). Suppose -3*n = -0*n - 210. Suppose -n = -5*v - g. Calculate the remainder when 27 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 - 1 + 0*f**2 + 5*f**2 - 61*f + 2*f**2 + 54*f. Let w(k) = -3*k**3 + 6*k**2 - 6*k - 1. Calculate -6*m(y) + 7*w(y).\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*b + 2*o, -4*b + 12 = -2*o - 20. Solve -4*i = 16, b*i = -4*j + i - 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52191071 greater than 52191069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**5\/60 - g**4\/12 + g**3\/3 + 3*g**2. Let n(z) be the first derivative of x(z). Find the first derivative of n(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 31 - 8 - (-2 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95765 is divided by 131.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/9 and -1\/69.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17975 - 539*y**2 - 35996 + 18021.\nAnswer: -539*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3098028.01 and 0.38.\nAnswer: 3098028.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00145 rounded to five decimal places?\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.92.\nAnswer: 1.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-2)\/(-4) + 6944\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 42*d - 216 = 0. What is d?\nAnswer: 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 114085.\nAnswer: 2738040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 128*-0.1\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-6 - -3) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 10. Let l(d) = u*d - 7*d + 2*d. Calculate l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + 11850.\nAnswer: 11849.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*x + 7*x**2 - 6*x**4 + 5*x**4 + 38*x + 24*x**3 wrt x.\nAnswer: -24*x + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -903833.2 and 5.\nAnswer: -903828.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 7. Let x(f) = -13571*f + 8 + 13568*f + 0. What is -6*r(o) - 5*x(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 124 - 1062 = -88. What is the lowest common multiple of 5 and z?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 5*z - 4. Let v be c(3). Let f be v\/(-8) - (-130)\/8. Suppose -3*a - f = -7*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/140)\/(10\/315*15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*l = -6, l = 2*j + 6*l - 16. Suppose 5*r = -f + 7, 3*r + 4 + 3 = f. Calculate the lowest common multiple of j and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-56) + (-19)\/(8 + 258).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, 2\/13, -0.0172, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123 times 4?\nAnswer: 0.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/9)\/((-14)\/(-4)*(-84)\/(-441)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19517*x + 179530 + 117495 + 3463*x**3 - 278598*x - 3464*x**3 + 1091*x**2.\nAnswer: -(x - 545)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/60 - 57*b**2 + 6*b. Suppose 3*p - 15 = 2*p. Let s(o) = -12*o + 11*o - p*o. Calculate a(s(c)).\nAnswer: -256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-6 - (-8 - -7)) + -2 + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1314447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - 33) + 27 - 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-253) + 1001\/(-2541)*12\/92.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 + 2*i**5 - 4*i**5 + (-3 + 3 - i**2)*(-2 + 2*i**3 + 2) + 3*i**5 - 2*i**5 - 2*i**5 - 2*i**4 - 5*i**5 + 2*i**4 + 2*i**2 - 2*i**2 + 2*i**5.\nAnswer: -8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1573538\/7*b - 2\/7*b**3 + 3548\/7*b**2 = 0. What is b?\nAnswer: 0, 887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:27 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/24 and 35\/76?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19960443*o**3 + 16904547*o?\nAnswer: 119762658*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12375 and 696375?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89, 350, 795, 1424, 2237, 3234?\n\"Answer: 92*v**2 - 15*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.12268572846 + 8.9421\nAnswer: 9.06478572846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 2 + -3)*26\/(-351). Sort 0.3, 0, j, 0.5.\nAnswer: 0, j, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 2.1317\nAnswer: -0.21317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 26*z + 11126 - 13079 for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Let q = 15 + -17. Let z be 0\/(18\/12*2\/1). Sort r, z, q in ascending order.\nAnswer: q, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2982 = 5*l, l + 4*z - 582 = -0*l. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -39, 5 in ascending order.\nAnswer: -39, -6, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1552\/18 + 26\/(-117). Suppose 0*r - 227 = 2*r + 3*x, -r + 4*x - d = 0. Is r greater than or equal to -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11406 by 23.\nAnswer: -11406\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 8*b - 33. Let o be q(-3). Suppose 5*r - 261 = -2*x - 1, o = 3*x - 2*r - 371. Calculate the highest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j - 4. Let v(x) = x**3 + 8*x**2 - 3. Let z(i) = i**3 + 8*i**2 - 3. Let l(b) = -4*v(b) + 3*z(b). Let n be l(-8). Calculate y(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1569101738168+-0.01\nAnswer: 0.1469101738168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(120)*-1)\/sqrt(12))\/sqrt(288) + -1.\nAnswer: -2 - sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svuv when four letters picked without replacement from vsussvuusvtsvvss?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34883194678 - -34883194475.99999861. Let f = -202 - c. Round f to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-12)\/(-56)*2). Let r be (-6)\/(-8)*(-14)\/x. Which is the second biggest value? (a) -0.2 (b) r (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 28*u**4 + 6*u**2 + 3*u + 7. Let k(t) = 28*t**4 + 5*t**2 + 2*t + 7. Let w(r) = 6*k(r) - 5*x(r). What is the second derivative of w(a) wrt a?\nAnswer: 336*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10404.76 * 0.8.\nAnswer: -8323.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzj. Give prob of picking 1 e and 1 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**7\/70 - f**5\/10 + 4*f**2. What is the third derivative of z(n) wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(0 - (-1)\/(-2)). What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 + -105. What is the highest common divisor of 130 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - y**5 + (2*y**2 - 2*y**2 - 2*y**4)*(2*y - 3*y - y) + 3*y**5 - 4*y**5 + 2*y**5 + (552*y + 2*y + 230*y)*(2 + 2*y**4 - 2))*(0 - 1 + 6).\nAnswer: 7860*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 divided by -187.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-136)\/34 + (-71)\/(-1). Suppose -u - 3*u - 2*z + 74 = 0, -l = -2*u + 5*z. Suppose -5 = 4*x - u. What is the remainder when 18 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1008)*-1 + sqrt(1008) + 5*(sqrt(7) + sqrt(7) + -1) - (sqrt(175)*-1 + 0))**2*-3.\nAnswer: -4802 + 450*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13669 + 6505 = -74*c - 18*c - 5692 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 365877.\nAnswer: -2\/121959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2963 + 15870. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2802066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11947000 and 0.5.\nAnswer: 5973500","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort -30319, -1, -2, -7633 in increasing order.\nAnswer: -30319, -7633, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + a + 1. Let o(t) = -8*t**2 + t - 1. Let d(s) = 2*g(s) - o(s). Is 24 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-8 - -8) + -1) - (-24)\/(-44).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -716\/531 or -1?\nAnswer: -716\/531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwdr when four letters picked without replacement from {d: 1, b: 1, p: 3, w: 4, r: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 5 + 7 + -5. What is v in 8*v**5 - 9 + 9 - 45*v**3 - 12*v + 21*v**z - 6*v**4 + 34*v**2 = 0?\nAnswer: -2, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44382823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/(-9) + -3 - 65\/(-3). Suppose -2*j + h + 1 = 0. Let t(x) = 2*x - 6. What is the least common multiple of 20 and t(j)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -1. Suppose -12 = -4*h - 40. Let v = h - -10. Solve c*t - 18 = -3*k, 3*t = 2*t + v*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1)*-3*(-6 + 5). Suppose m*u = 13*u - 290. Suppose y = -4*y + 1160. What is the greatest common divisor of y and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 2)*(p + p - 7*p) + 5*p + 3*p - p in the form y + h*p and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 - 689*d**3 - 677*d**3 - 682*d**3 + 2052*d**3 + 5*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/2)\/((u*u**(-1\/16))\/u))\/((u*(u\/u**(-2\/21))\/u)\/(u**(-5\/2)*u)) assuming u is positive.\nAnswer: u**(-2027\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*z + j, -3*z + 6*j - 5 = 2*j. Solve -9 = -z*x + u, -2*u + 12 = -2*x + 7*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c353a (base 13) in base 15?\nAnswer: e3baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2749 + 2790. Which is smaller: b or 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5926.474 days in minutes?\nAnswer: 8534122.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 20294801*u. Let l(w) = 7*w. What is l(p(s))?\nAnswer: 142063607*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 25*s + 209. List the prime factors of n(48).\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200323000 + -2?\nAnswer: 200322332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 851684\/3 at most 283896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, 0, -3, -27, 12 in descending order.\nAnswer: 12, 5, 3, 2, 0, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904179.\nAnswer: 3, 17, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9258232 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1)*(7 + -6). Sort 2, r, 1 in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*b**3 + 23*b**3 - 22 - 3*b + 19 + (3*b + b - 5*b)*(4*b**2 + b**2 - 3*b**2).\nAnswer: -4*b**3 - 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 - 1.19. Let c = 0.04 + i. Round c to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/3002 or -1?\nAnswer: 63\/3002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12423*k + 498965 + 511599 = 16724 for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 2*m + 2*m + 366*m**2 - 2*m.\nAnswer: 366*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 8. Let m = -38 + 54. Let f = q + m. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-805)\/(-20) + -41)*(6\/4 - 2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 3. What is the units digit of l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077421 - -0.06?\nAnswer: 0.0677421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134 + 43 - 63)*(-16*h - 4*h - 15*h).\nAnswer: -3990*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 8:14 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(42)\/sqrt(6) + 2 + (sqrt(105)\/sqrt(3))\/sqrt(5))**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 209 = 5*w - 2*p, -4*w + 2*p + 860 = 0. Let m(h) = w + 213 + h**2 - 429 + h. Suppose 2*f - 2*z + 4 = 0, 6*f + z + 10 = f. What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 188035067 and -5.\nAnswer: 188035062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*p - 2*y + 7*y, 0 = 2*p + 2*y - 4. Let x be 2*(-4 + p) - (-72)\/(-30). Which is the nearest to 0? (a) x (b) 10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 636359173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*y - 17 = 0, -3*y + 0*y = -2*b + 19. Let z = -85 - -231. Let l = z + -102. Calculate the greatest common divisor of b and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309886, -309878, -309884, -309910, -309962?\nAnswer: -310046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + j - 155000 + 155047, -4*s - 5*j + 152 = 0 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 8*b - 23. Let l be p(-11). Let d be 9*l\/405 + 25\/9. Solve d*r - r + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8679.482ug to tonnes.\nAnswer: 0.000000008679482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 1)\/(5 + (-84)\/18). Suppose 64 + 41 = n*h. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48035 is divided by 356?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*(-9)\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-1\/16))**(-43)*(i*i\/((i*i**2*i)\/i*i)*i*i**(-5))\/(i**(-2\/7))**2 assuming i is positive.\nAnswer: i**(-909\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, e: 7}. Give prob of sequence leee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20 - 36\/27*(-6)\/(-4). Factor -s*p**3 - 5*p**2 + 4*p**2 + 19*p**3 - 5*p**5 + p**4 + 4*p**5.\nAnswer: -p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25343, 25345, 25349, 25355, 25363, 25373?\nAnswer: 25385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1058*h**2 + 566*h**2 + 455*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-40) - (-250)\/(-120))*(-3)\/8. Let z(n) be the third derivative of 0 - y*n**3 + 1\/24*n**4 - 17*n**2 + 0*n. Determine z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -22. Suppose f = 3*y - 0*y - 663. Suppose 0 = -3*i - n - 2*n + 246, 2*n = 3*i - y. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**27*(a*a**18)\/a**4 assuming a is positive.\nAnswer: a**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:20 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 49 + 14. Calculate the remainder when 32 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -89ca - 310?\nAnswer: -900a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*v + 9, 0 = v + 15*m - 13*m - 3. Put -2, -4, v, -5, 26 in decreasing order.\nAnswer: 26, v, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = 0, -2*f + 8 = -5*s. Is (-1 + 13)*(f - 3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 4\/13 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -488, -4, -2\/7 in increasing order.\nAnswer: -488, -4, -2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 5*i**2 + 5*i - 11. Calculate the remainder when 391 is divided by t(-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57199.32 and 109538.\nAnswer: 166737.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/135)\/((-383)\/(-13788))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 763102275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(120)*1)\/sqrt(8))\/(sqrt(80)*-3) + 5.\nAnswer: -sqrt(3)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4246 and 314204?\nAnswer: 314204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 12 = 3*j, 2*j = -y - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = g - 4*b, -2*g - b - 8 = -3. Let r = -3 - g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3297894834 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.036 and -10280584.\nAnswer: 370101.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2684 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 2. Let o = n - 4. Let p = 27 + -27.3. Which is the closest to 1? (a) -1\/6 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10122 (base 4) to base 5\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 28*j + 312. Give g(21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 13*g**2 - 2*g - 2 + 8*g**2 - 5*g**2 - g to the form w*g + u + i*g**2 + z*g**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t, -4*q = 3*t + 2*t - 21. Let z(w) = -q + 6 + 31 - 4 - 14*w. Is z(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g + 6. Give a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4 - 1. Let n = 2 - m. Let z(h) = -n - h + 4 - 3*h. What is z(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -188064 and 0.2.\nAnswer: -188063.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4017 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -29, -78, -169, -314, -525, -814, -1193?\nAnswer: -1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 307829, 615632, 923407, 1231154?\n\"Answer: -14*w**2 + 307845*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.745 + -2.7. What is y rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1533 + 1589. Calculate the smallest common multiple of 64 and h.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 39817582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1704 and 8430594.\nAnswer: 2394288696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 0*r - 484. Let i = r + -65. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmp when three letters picked without replacement from pkpkqkmqm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**3 + 2*l. Let z(k) = -5*k**3 + k. Calculate -6*s(m) + 14*z(m).\nAnswer: -4*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -11. Let x(u) = -215*u + 4085. Let z be x(19). Solve 3*f - 6 = z, 0 = 4*q - 0*f - 3*f - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3 + 21*j**2*o + 246*j**2*s**2 - 2*j**2 - j*o - 7*j*s**2 + 97*j + 4*o*s + 3*s**2 wrt j?\nAnswer: 12*j + 42*o + 492*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62469950 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 53, 78, 101, 122, 141?\n\"Answer: -j**2 + 30*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 4*b = 7*z + 19*z - 132, -104 = -2*z + 3*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/24*-8 + 12)\/(-1 + 4). Solve g = 51*m + 22 - 124 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 13*k**3\/3 - 1434. Let s(o) = 85*o. What is s(v(g))?\nAnswer: 1105*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2 - sqrt(27))\/((sqrt(90)*-1 + sqrt(90))\/sqrt(10) + sqrt(9)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53430736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12935, -12990, -13045, -13100, -13155?\nAnswer: -13210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from ddnnndddnddpdmnn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -54?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 32 = 3*o - 4*v, -4*o + 52 = 3*v. Let r = -15 + o. List the prime factors of 4*r - (8 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833, -828, -821, -812?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 693 or -21?\nAnswer: 693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + y - 381902*y**3 + 6*y.\nAnswer: -381902*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 4*d - 1. Let i(q) = -q + 17. Let h be i(13). Suppose -h*w - 15 = -7*w. Is 19 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46*(-30)\/(-45)*3\/4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/6 + (-40)\/15 + (39 - 35) and 4170?\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4\/6 + 10*y**3\/3 + 5*y**2\/2 - 15*y.\nAnswer: -5*y*(y - 3)**2*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4 - 4)*(k - 3*k + 0*k)*(3*k + k - 3*k)*(-5*k - 9 + 9).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w + 2 = 2*r, -4*w + r = -3. Suppose -w*u - 17 + 55 = -3*t, 0 = -u + 5*t + 5. Solve 4*s = -z, -5*z + s + u = -4*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*p = -301*p + 570*p - 21308 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 2*u + 1 - u. Let j be q(-2). Let g(f) = 2*f**2 + 1. Is g(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.077731 rounded to three dps?\nAnswer: 2.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 18. Let n(t) = -t + 6. Let l(i) = -9*i - 321. Let m be l(-35). Calculate m*x(a) + 17*n(a).\nAnswer: a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75869 is divided by 6322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*q - 215 = -195*q. Solve -24 = q*i - h, -h = -4*i - 14 - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 210 = 12*g + 3*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m - 12. Let a(s) = 37*s - 34. Let v = -947 + 964. Let h(y) = v*r(y) - 6*a(y). Let g(f) = 277*f. Calculate g(h(l)).\nAnswer: -277*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/(58\/174).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8226442288648 plus -0.3?\nAnswer: 8226442288647.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*y = -5*u + 877*y - 42, 0 = 2*u + 4*y + 30 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**3 + 148*h**2 - 531*h + 861. Calculate l(-28).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kykkygkygkky. Give prob of picking 1 y and 3 k.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/225, 83479, -0.5 in descending order.\nAnswer: 83479, 4\/225, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/7 - 732*a**2\/7 - 178608*a\/7 - 14526784\/7.\nAnswer: -(a + 244)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8576.843ml in litres?\nAnswer: 8.576843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 - 3*d**2 - 2*d. Let r(p) = -3*p**3 + 2*p**2 + p. Let g = 5150 - 5154. Give g*r(t) - 3*o(t).\nAnswer: 3*t**3 + t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g - 78. Let b be m(9). Suppose -4*w = -3*f + 1310 + 47, -b*w = -5*f + 2280. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36388 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1242, 2495, 3794, 5163, 6626, 8207, 9930?\nAnswer: 11819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 - 1 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 8. Suppose 0 = 3*t - 5*t + 2, -5*t = o - 25. Calculate the highest common divisor of x and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:47 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:46 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -2088?\nAnswer: -2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6065 (b) 0 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 4*i = -4*u - 6, 0 = -4*i. Let k(s) = s**2 - 6*s + 3. Let y be k(6). Sort y, 5, u.\nAnswer: u, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 87\/16304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*i**2 + 31*a**3*i - 2*a**2*i**2 - 2*a*i**2 + 2300*a wrt a.\nAnswer: -18*a*i**2 + 186*a*i - 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5 + 703*q**4 - 27740*q**3 - 258500*q**2 + 5914000*q + 50320000 = 0.\nAnswer: -740, -10, 17, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837793424?\nAnswer: 2, 13, 43, 47, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1613767695 - -119124\nAnswer: -1613648571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 135525094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2 - 1. List the prime factors of (4\/l)\/(4\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 95, -0.4066?\nAnswer: -0.4066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 10248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, x: 1, l: 2, k: 2, j: 4, e: 4}. Give prob of sequence jlve.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/6 - 7*i**5\/4 - 5*i**4\/4 + 95*i**3\/6 + 35*i**2 + 217*i. Factor x(y).\nAnswer: 5*(y - 7)*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5149 or -5150?\nAnswer: -5149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-12) + (-1 - -4 - -3). Suppose 14*j = -x*t + 16*j - 2, 5*t = 5*j - 15. Solve -2*o - t*a = -0*o + 6, 2*o = a + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 8*r**7\/105 - 3*r**6\/10 - 2*r**5\/3 + r**4\/2 + 22*r**2. Suppose q(s) = 0. What is s?\nAnswer: -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**2 - 8*f + 0*f**3 - 9 + 1\/6*f**4. Let u(p) = -29*p. What is d(u(k))?\nAnswer: 1682*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyvzac. Give prob of sequence zc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from qffqqffqfqiiqff?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26866881 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((-550)\/715)\/(2\/10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -0.8. Let f = 396 - 394.1. Let y = f + c. What is the second smallest value in -4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 2. Let w(y) = -y + 1. Let r(x) = -o(x) + 5*w(x). What is the units digit of r(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 6:27 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 40*k - 44*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 128*m**2 + 256*m + 1037. Calculate l(-4).\nAnswer: 2061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2260901 and 19276?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:22 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 384*c**3*h**3*r - c**3*h**2*r**3 + c**3*h**2 - 2*c**2*h**3*r**3 + 4*c**2*h**2*r + 8*c*h*r**3 + 3*c*h*r wrt h.\nAnswer: 2304*c**3*r - 12*c**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 17 = -f, -i + 141 = 145 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + 1*sqrt(13)))**2*-6 + (-3*sqrt(1872)*1 - (-2*sqrt(1872) + sqrt(1872) + -5)).\nAnswer: -1627 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*k - 2791 = 0, 4*g - 70*k + 66*k = 3740. Calculate the remainder when g is divided by 471.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2. Let s(i) = 328*i**2 - 12*i + 6. Let n(j) = 96761*j**2 - 3542*j + 1771. Let u(p) = -6*n(p) + 1771*s(p). Calculate u(a(m)).\nAnswer: 322*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f**2 - 14*f - 11. Let m be (-4)\/(-6) + 20\/6. Suppose 5*d - m*d = 5. Suppose -24 = -k - 2*k. Let x(r) = -9*r**2 + 9*r + 7. What is d*l(c) + k*x(c)?\nAnswer: -2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -9*z**7\/7 - 13*z**3\/2 + z - 3. Find the second derivative of d(f) wrt f.\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -84*h + 6. Let j be x(9). Let b = -507 - j. Let d = -138 + b. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 11. Suppose 4*q - 6 = a*q. Suppose 4*z - 3*x - 277 = -0*x, 143 = 2*z - q*x. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 107305*f - 7211880 = 0 for f.\nAnswer: -67, 21528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 2:51 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000222881 to six decimal places.\nAnswer: 0.000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -3*i - 88. Suppose 6*s - 66 = -i. Solve 5*x - 4*b + 4 - s = 0, -3*x + 16 = b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -70219839 and -70219838 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/21*161\/(-46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-2)\/152*-3. Let h = k + 137\/380. Which is the third biggest value? (a) -5 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + r + 0 - 7 = 0, -4*t - 2 = r. Let q(h) be the second derivative of 4*h**3\/3 + h**2\/2 - 2*h. Give q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/44*120\/135?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1250 by 5.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*i - 256, -2*s = i - 6*i + 320. Let g = i - 385\/6. Put 4\/11, g, -3, 4 in ascending order.\nAnswer: -3, g, 4\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i + 5 = -h, 4*h - 4*i = 40. Suppose -h*z = 4*j - 62, -3*j = 2*j + 5*z - 75. What are the prime factors of 2\/j - 13608\/(-104)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 27 = 2*s - 127, -2*r + 11 = -5*s. Calculate the remainder when (-4)\/r - (-1384)\/72 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 322 + 4?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + 3*z**2 - 7*z**2 + (-2*z + 0*z + 0*z)*(-z + 0*z - 2*z) - 2*z**2 + 1 - 1 + (-3 - 2*z + 3)*(3*z - 2*z - 5*z).\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*f + 37553 - 5935 = 3513 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1058 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 5*m**4\/12 + m**3 - m**2. Let b = 96874 + -96880. Let a(w) = -21*w - 13. Give b*a(v) - 13*p(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12731137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 14*s**2 + 13*s - 2. Let m be y(6). Let o be (53\/(-2))\/(10\/26). Let l = 69 + o. Which is the closest to 0? (a) m (b) l (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 6:04 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 982 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(832) + 1) + sqrt(832))*-3 - (sqrt(832) + -2 + 5 + -1 + sqrt(832)*-2))**2*-4*-6.\nAnswer: 38400*sqrt(13) + 1999200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -525299 and 5?\nAnswer: -2626495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + 0*i - 2*i)*(3 + 0 - 2) + 3 - 4 - 11*i - 7*i to n*i + p and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-178)\/(-267)*(-30)\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose -m*h = -0*h - 6, -2*h + 15 = 3*l. Solve 5*s + l + 22 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-464)\/44 + 156\/286?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47631 + 110?\nAnswer: -47521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 870562017 to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22950 and 5865.\nAnswer: 527850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6213696.7 from -4.\nAnswer: 6213692.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -34*t + 13*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -35 (b) 1 (c) 13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:22 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*((-2*w - 3*w + 6*w)*(0 - 1 - 1) + 0*w + 3*w - 4*w + 2*w - 2*w + w) - 8*w + 33*w - 223*w.\nAnswer: -200*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -40e (base 16) in base 5?\nAnswer: -13123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 21*v. Let l be (-3)\/3 - (7 + (4 - 10)). Determine f(l).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -35*r + 76. Let z be h(2). Suppose -5*f + 4 + 6 = 0. Suppose 10 + z = f*b. Solve -4*q - 7 = -3*y, -2*y + 2 - b = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v + 18 = -31*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 4. Let o be c(2). Let w be 3 + (-4)\/4 - o. Suppose 3*x - 6*x + 5*z + w = 0, 0 = 2*x - 4*z - 8. Solve -l = -x*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.98898871 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8322 or 6.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80124 and 53724.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/117 - 367\/936. Let h = 16.4 + 65.6. Let p = -82 + h. What is the nearest to p in m, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y**3 - 364*y**2 + 361*y\/3 - 10 = 0. What is y?\nAnswer: 1\/6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 6739?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-5) - (-33)\/(-45). What is the closest to -1\/4 in x, 0.4, 0.2, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 1. Let s be c(-3). Let p = s + 23. Calculate the remainder when 44 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 4, -3, 3, -23 in decreasing order.\nAnswer: 6, 4, 3, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/594*-9*((-12)\/(-74))\/(-2)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15151\/15 - 3839\/3. Is -271 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 480*i + 5728\/3.\nAnswer: 2*(i - 716)*(i - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p - 65. Determine f(15).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 10. Determine h(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a*a**(-8))))\/a**(-2\/15)*a**(1\/14)*a*a\/a**5*a assuming a is positive.\nAnswer: a**(-1637\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 t when four letters picked without replacement from tzzttzt.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -297232 or -297233?\nAnswer: -297233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 - 14*y**2 - 26*y + 221. Give j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.0365?\nAnswer: 0.1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 + 208*y**2 - 4*y - 43. Give j(-52).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1178 - 60. List the prime factors of x.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.409 - -2.459. What is the closest to i in 4, -4, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(-1)\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**5 + 3*l**5 + 22*l**2 - 1 - 8*l**3 + 8*l**3 wrt l?\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Suppose -2717*h = -2711*h - 24. Solve -h*o = -p*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (819\/(-390))\/(77\/44)*(-9)\/((-2673)\/(-30))?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(5\/(-5))*-2. Let a be 7 + -4 + 6 - (0 + z). Suppose 0 = -a*c + 762 - 210. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 954653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let l = -286.56 - -283.56. What is the nearest to -2 in 3\/5, k, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-54)\/9*(-1)\/(-3))\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 573445 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 75*x**2 - 155*x + 78. What is the remainder when c(-77) is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (17 + -3 - 7) + 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 4495\/15 + (-36)\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-8 - 13) + -11 + 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 6) in base 11?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051460.\nAnswer: 2, 3, 5, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 1507*h + 3843. Determine i(0).\nAnswer: 3843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924.5845 litres to millilitres.\nAnswer: 924584.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 r, and 1 g when four letters picked without replacement from qggrgqzgrrrrr?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1803185 is divided by 902.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 14*m + 10. Sort 2\/9, 1\/2, -2\/7, m in increasing order.\nAnswer: m, -2\/7, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {y: 1, e: 2, j: 3, u: 1, l: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190\/(-266)*91 + 2 + 4 + -1.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01885249585 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 14*b - 828. Let l be (-79 - 0) + -4 + 0. Let j = l + b. Solve j*i = 2*i - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2299) - sqrt(2299)*3) + sqrt(2299) + 1 + -4 + 2)*1.\nAnswer: -11*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20*((-189)\/(-36))\/(-21)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/4 - 741*a\/4 + 735\/2.\nAnswer: 3*(a - 245)*(a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7179087563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (6424\/(-4))\/(-1 + 0 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32346542 (base 7) to base 16\nAnswer: -2a3d9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-nine quarters of a day?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133300023223 - 13?\nAnswer: 3133300023210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 113.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 67.914. Let o = i + 0.034. Are -0.3 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*r + r**2 - 70*r + 144*r + 7*r**3 in the form n*r**2 + o*r**3 + y*r + m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614213 to the power of 1\/2, to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*g + 163*g + 162*g - 701*g + 172*g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -666 by 951.\nAnswer: -222\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 125*n**3 - n. Let b be i(1). Suppose -4*l + b = -796. Find the common denominator of ((-1)\/10)\/(4\/l) and 97\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/115 and -91\/1665?\nAnswer: 38295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 44253 + 255069 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(5 - 42\/14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1855650934 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*t = -203, -t - 86 = -2*z + 3*t. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rryyyywgrryrrry. What is prob of sequence wr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = -v + 98, -2*v + 187 = n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5 = -989*q + 990*q, -5*z + 10 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {m: 3, x: 1, c: 2, y: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3700, -4295, -4890?\nAnswer: -5485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Let g be v\/6 - 50\/(-15). Suppose -3*u - 1309 = -c - g*c, -4*u = 12. What is c rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.44 + 326.44. Let d = w + -307.1. Round d to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 76. Let p be (q\/8)\/(2985\/996 + -3). Let k = 586 - p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (-29 + 64)) + -5 + 3 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 2. Let s(b) be the second derivative of -b**6\/360 + 4*b**4\/3 - 8*b + 5. Let f(o) be the third derivative of s(o). What is f(m(d))?\nAnswer: -22*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*v**2 - 104*v**2 + 58*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 64, 17\/2?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 5. Let j = 11 + -2. Let y be w(j). Suppose -y*o = o. Is 1\/7 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 56 = 4*u. Suppose -2*k - 2*b - u = 3*b, 5*k = -b + 7. Solve x = k*x + 2*w + 3, -4*x + w + 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407810 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02397617 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/1586?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 2)*(-2 + 2 + r) + 22 + 55*r - 22)*(3*r - r + r) as f*r**2 + h*r + a and give f.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*f - 135003, 2*f = 6*f + 12. Suppose -m = 3*c + 26991, 0*c - h = 5*m + c. What is m rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.108 + 0.028. Round p to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/3 + 2984*y\/3 - 246176.\nAnswer: 4*(y - 196)*(y + 942)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s + 11337 = 11167 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 100?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 0*z**2 + z**2)*(-5 + 5*z + 5 + z - z + z + (2 - 1 + 1)*(-z - 4*z + 6*z) + 0*z + 3*z - 2*z - z - 2 + 2).\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**7\/840 + y**5\/60 + y**4\/8 + 2*y**2. Let b(r) be the second derivative of i(r). What is the first derivative of b(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 5*j + 8. Let a be q(-6). Let b(k) = k**3 - 2*k**2 + 2*k - 2. Let n be b(a). Let i = 0 + 0. Solve -3 = -d - 3*s, i*d = -n*d - 3*s + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070*u = -4510*u - 172000 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -9 + 15 + -19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, -5, -8, -11?\n\"Answer: -3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057)*-1 + 0)*-1 + 4 + -4.\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4847 is divided by 279?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 30 (b) -4 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 + 0*m**2 - m**2)*(35*m**2 + 35*m**2 - 62*m**2 + 4) + (-4 + 1 + 1)*(-9*m**4 - m**4 + m**4) to q*m**2 + u + s*m**3 + n*m + r*m**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/13 + 106\/13*d**2 + 86\/13*d**3 + 18\/13*d**4 + 2*d = 0. Calculate d.\nAnswer: -3, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:57 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5 - 1 - 2 + 5 - 3 - 1 + 3 + (1 - 1 + 1)*(-2 + 3 + 1) + 1 + 1 + 1 + (1 - 3 + 1)*(-3 + 1 + 3))*(-4*h + 3*h + 2*h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -207406*f**3 + 4*f**2 + 2. Let k(h) = -4*h**2 + 1. Let n = 4 - 3. Let l be k(n). Let z be v(l). Round z to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -142971 (b) 0.1 (c) 519\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i + 12 = 24*i + 15*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 2, h: 1, x: 1, n: 2, u: 2}. Give prob of picking 1 h and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:44 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - 15, -6*w - 173*u - 175*u - 13 = -345*u + 56 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21575 + 84952. Suppose 3*p = -2*m + 268769, -m - 2*p + 268764 = m. Let r = m - v. Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13114331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*v, 5*v - 31 = -11. Suppose r = 3*r + l. Let n be (-1)\/((-2)\/(8 + -2)). Put n, 1, r in ascending order.\nAnswer: r, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 47 = -4*a + 85, 5*a = -5*l + 120. Let q = a - 24. Suppose -q*o + 128800 = 4*r, 0*o - 5*o = 3*r - 161000. What is o rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*o**6*u**2 + 2*o**6 - 9*o**2 - 2*o*u**2 wrt o.\nAnswer: -5880*o**3*u**2 + 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31325093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*a - 152*a + 19047 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -5 (c) 1\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -30 - 78. Calculate the greatest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 20\/3, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(0 + 1\/(-10)). Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -1222?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + -3 + 18 + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2 + (-6)\/(-12). Put 6, g, 0 in ascending order.\nAnswer: 0, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 9:22 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*q**3 + 2*q**3 - 3*q**3)*(0 + 0 - 2) - 3*q + 3*q - 21*q**3)*(-79*q - 1 + 19*q + 13*q) as p*q**4 + d*q + h*q**3 + y*q**2 + m and give p.\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 45 = 15. What is the lowest common multiple of 8 and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i - 68*i - 58*i + 2 + 182*i.\nAnswer: -14*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 8 = -2*g. Solve -2*z = -0*z + g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1155, 30727?\nAnswer: 30727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 157?\nAnswer: 10362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m**3 + m**2 - m + 1. Suppose 0*v = 6*v - 264. Calculate the remainder when v is divided by a(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/2 + (-13)\/(-26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -14 - -29 - (3 - -1)) + 7 + 97?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 948910933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 44*m - 2. What is s(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1599*-86\nAnswer: 137514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 997 or 996?\nAnswer: 997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - ca637?\nAnswer: -ca647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 27*a**2 + a + 2. Give f(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**8\/336 - 13*q**5\/120 - 25*q**3\/3 - 39. Let j(r) be the third derivative of k(r). Find the second derivative of j(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 - 15*d - 5. Let c(u) = u**3 + 3*u**2 + 5*u + 11. Let z be c(-3). Calculate the remainder when b(z) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzddoqxdduxzqo. What is prob of picking 1 x and 1 q?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024413614 to 6 decimal places.\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1 - (0 + 2). Suppose s = -2*l - 2*k - 8, -2*k - 2 = -0. Let b be (-2 - l) + -8 + 3. Let z(t) = t**2 + 3*t - 1. What is z(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.056 - 0.056. What is the second smallest value in 4, o, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 108*y**2 + 4*y + 108.\nAnswer: -4*(y - 1)*(y + 1)*(y + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113344250 + 140?\nAnswer: 113344430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -516932426.\nAnswer: -516932426.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2)*1)\/((-12690)\/40608).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-30)*24\/(-130)*2\/6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -1. Let h = -6 + m. Solve 5*w - 12 = h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.677 - 1.877. Let c = 0 + -0.3. What is the nearest to -1 in u, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 109529452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13041808 or -13041815?\nAnswer: -13041808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/27 + (0 - 1). Let o = 0.998 - -0.002. What is the nearest to o in s, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31352693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from bucbffbbu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 11, -3, 2109 in descending order.\nAnswer: 2109, 11, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 - 144*m**2 + 20*m + 10*m - 7*m.\nAnswer: -160*m**2 + 23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-2))\/1 + 11. Factor 3*b - b - o*b - 3*b**2.\nAnswer: -3*b*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2052832*c**2*n**2 - 2*c**2*n - 15802*c**2 - 45*n wrt n.\nAnswer: -4105664*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 73 - 22 = 0. Suppose w - 91 = q. Suppose 4*c + 2*s - w = 0, 0 = -3*s + 4 - 16. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50843 divided by -67.\nAnswer: 50843\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19baab (base 14) to base 13.\nAnswer: 260b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24003, -47765, -71291, -94581, -117635, -140453?\n\"Answer: 118*q**2 - 24116*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 51*f**4 - 128*f + 31. Find the first derivative of c(q) wrt q.\nAnswer: 612*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t*t)\/(t*t\/((((t**4\/t)\/t)\/t)\/t)*t)*(t*t**(-2\/5))**(-30) assuming t is positive.\nAnswer: t**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b**2 + 145*b**2 - 48*b**2 + 111*b**2 to y*b + l + d*b**2 and give d.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 0 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {s: 1, x: 1, z: 1, u: 3, j: 4, a: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -175*g**5 + 1345*g**4 - 3485*g**3 + 3515*g**2 - 1380*g + 180 = 0.\nAnswer: 2\/7, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = 5*m - 11*i - 3942, -3*i - 1602 = -2*m. What is the remainder when m is divided by 196?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 517720, 2070991, 4659770, 8284057, 12943852, 18639155, 25369966?\n\"Answer: 517754*m**2 + 9*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + v - v)*(-3*v**2 + 3*v**2 + v**2) - v**3 + 2*v**3 - 3*v**3 + v**3 + 5*v**3 - 2*v**3 + (0 + 0 + 1)*(-2*v**3 + 3*v**3 + v**3) + 4*v**3 - v**3 - v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + y + 25*y**3 - 5*y.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 5*a - 5. Let n be x(6). Suppose 4*m = 3*r + 22, 4*r + n = -0*r - m. What are the prime factors of ((-77)\/r)\/(1\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42491 + u**2 - 12*u - 12*u + 24*u - 42491.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {m: 2, h: 8, b: 3, c: 1, i: 1, g: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1 - 3\/2)*16. Do -8 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400860 and 140301?\nAnswer: 2806020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -796692097*u**2 + 18596*u + 6539.\nAnswer: -1593384194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2158879)\/(-296959) + (-2)\/(-53) + -8?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1339\/9 - -149. Let f = 0.28 + -1.68. Let l = f + 1.6. What is the nearest to l in 0.3, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/161? (a) -0.1 (b) -16\/73 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2625 + 2624.7. Let s be (-5)\/(-2) + -17 + 17. What is the nearest to -1\/18 in j, s, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -44, -105, -198, -329?\n\"Answer: -b**3 - 7*b**2 - 7*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14987?\nAnswer: 7, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42*f*p**2 - 77*f + 2383*p**3 + p + 2 wrt p?\nAnswer: 84*f + 14298*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from rxphryhrrmhxrryhxyhh.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 + -0.3. Let p = -9 - b. Let x = -32\/15 - -4\/5. What is the closest to 0 in p, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 74 = 172 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 3*z**5\/100 + z**4\/5 - z**3\/2 + 23*z. Factor s(b).\nAnswer: 3*b*(b - 1)*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*z**4 + 62077264*z**3 + 20*z**2 + 10803806*z wrt z.\nAnswer: -120*z + 372463584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430893726.\nAnswer: 2, 3, 71815621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1054398, -1054402, -1054408, -1054416, -1054426?\n\"Answer: -l**2 - l - 1054396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2952 divided by 2672.\nAnswer: -369\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 260*i**2.\nAnswer: 5*i**2*(i + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-1\/30) assuming j is positive.\nAnswer: j**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-9 - (-22 + 1)) - (-10 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -158, 4, 502, 2, -5 in decreasing order.\nAnswer: 502, 4, 2, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65123 + -36424. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s**4 + 11*s**3 + 10*s**2 + s + 6. Let l(o) = -7*o**4 - 10*o**3 - 9*o**2 - o - 5. Let y(u) = -6*l(u) - 5*r(u). Factor y(q).\nAnswer: q*(q + 1)**2*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawwwa. Give prob of picking 1 w and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.375 - 0.512. Round s to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 383.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n + 62. Let i be y(10). Let u be -1 - -1 - (-7 - 1). Let x = u + i. What is the nearest to x in -2, 2\/13, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 42 = -2*l, 0 = -3*l + l - 4*a - 26. Let o = -11 - l. Solve 1 = g - 3, 0 = -2*s + g + o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 + 1114. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 90 - (-7 - 30\/10).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 1, r: 4, m: 1, h: 1}. What is prob of sequence ph?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -272\/5?\nAnswer: -272\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-6 + 12 - (2 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at most as big as 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 - -13.237.\nAnswer: 5.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1666339327.\nAnswer: 1666339327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849.761 millilitres in litres?\nAnswer: 2.849761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23465 rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11943 - -11949. Solve -4*d = -2*f + s - 2, 0 = -2*f - 5*d + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -836 - 500 - 2*h**3 + 886*h**2 + h - 887*h**2 - 675 to m + d*h**2 + j*h**3 + v*h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30683115?\nAnswer: 3, 5, 307, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/50455 or 0?\nAnswer: 4\/50455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 239 - 49. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 262384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**3 - 447*k**2 - 688*k + 34749. Determine g(75).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwwywwwyyy. What is prob of sequence wwyy?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19744 divided by -4936.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36353 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12232, -12229, -12226, -12223, -12220?\n\"Answer: 3*r - 12235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209268350 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40b (base 12) to base 14.\nAnswer: 2dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-2)\/(-16)*-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2218, -2210, -2200, -2188?\nAnswer: -2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87859, 87787, 87715?\nAnswer: 87643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 >= 2066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3)\/(1 - -1). Suppose 14 = 3*d - 4*d. Let r = -10 - d. Solve z = -r*q - 6 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4988*d - 1652 = 4929*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-168)*54)\/((-60)\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000100101000100 - 1001?\nAnswer: 10110000100100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 + 177*r**3 - 7548*r**2 - 6480*r + 1252800 = 0. Calculate r.\nAnswer: -87, -12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006557137 to seven dps.\nAnswer: -0.0006557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5544560253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/96 - (0 + 2066\/(-16)) is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmc when three letters picked without replacement from ccccmmmcmcmcm?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19*b - 28. What is the lowest common multiple of t(4) and 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 22*a - 508. Let d be f(-36). Suppose -3*w - 8 = u - 2, w = -4*u - 2. Let v be -2*3*(-3)\/(-6). Sort d, 5, w, v.\nAnswer: d, v, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40725 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 142945*o**3 + 3*o**2 - 18*o + 14. Let k be n(1). Suppose -8*h - k = 35216. Round h to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122\/(-3)*(-5700)\/(-3800)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y. Let f(l) = -3*l**2 + 2*l**3 + 4*l**2 + 3 - 3*l**3. Calculate f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 7:27 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101100001 - -1?\nAnswer: 100101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 6. Let j(s) = -3*s**3 + s**2 + 18*s - 10. Let p(w) = w**3 - 6*w + 3. Let m be (28\/(-35))\/((-1)\/(-5)). Let r(u) = m*j(u) - 11*p(u). Determine r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 120749843 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb2 (base 13) to base 5.\nAnswer: -31004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (1*-2 - -6). Suppose 2*x - q = 2. Let p be (-12)\/8 + (-57)\/(-6) + -3. Solve 16 = p*l - 4*z - 0*z, l - x*z - 12 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 5:10 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 11:24 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a**3 - 2*a**2)*(58*a - 23*a + 15*a)*(2 - 5 + 5)*(-19 + 8*a + 19).\nAnswer: 800*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*w + 7*w. Suppose -4*r - 9 = -4*x + 3*x, 2*x - 12 = w*r. Let o(f) = -f - 5 + x. Let m(y) = -2*y. Determine o(m(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 945*g + 940.\nAnswer: 5*(g + 1)*(g + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - (-8 + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 727 + 4?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1124772 divided by 7\nAnswer: 1124772\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(196)\/sqrt(4)*6)\/sqrt(7))**2.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**7\/21 - 3*r**6\/5 + 7*r**5\/5 + 53*r. Determine t, given that c(t) = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + -1007386.36.\nAnswer: -1007363.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/20717523 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 6*j - 4. Let p = 94 + -90. Let b be c(p). Solve -2*g = -b*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 0 - 14)*(598*n - 312*n - 337*n) as m + b*n and give b.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2336 - -3804. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**7\/3780 + o**6\/1620 + o**5\/540 - o**4\/108 + 11*o**3\/3 - 12. Let h(q) be the third derivative of y(q). Factor h(g).\nAnswer: -2*(g - 1)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4651 is divided by 1545.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**6\/45 + 5*t**3\/6 + 8*t. Let x(w) be the second derivative of d(w). Let l(h) = h. Give x(l(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 2*b**2 + 0*b)*(74*b + 61*b - 2*b)*(-2*b + 3*b + 0*b) in the form m*b**3 + j*b**4 + f + g*b**2 + i*b and give j.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/30 and (-27)\/12 + 3 + (-1722)\/216.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82546 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3669069.\nAnswer: 3, 271, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5110705?\nAnswer: 5, 1022141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*j = -81 + 69, 44 = -11*a - 5*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 15*j**3 + 2*j**2 + 13*j - 13. List the prime factors of b(4).\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a4375 (base 13) to base 7.\nAnswer: 24200332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*f + 9 - 9)*(10 + 3 - 3).\nAnswer: -120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 475378682 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 33 = -3*x - 37, -3*x = 5*p - 31. Solve -5*l = p*r - 10, -3*r + l = -3*l + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -2, -22, -48, -9, 5.\nAnswer: -48, -22, -9, -5, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 >= -1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s - 24*s - 69*s + 2376 = -24*s for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3125 and -64\/6875.\nAnswer: 34375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*y = -1473*y - 460 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 4*x**2 - 2*x - 5. Let a be z(3). What is the units digit of (-99)\/27*36\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-35) + (-4329)\/(-91). Suppose -104*r + 106*r - j = 0. What is the greatest common factor of 696 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -0.8. Let r = -0.31 - -1.41. Let u = 0.9 - r. What is the closest to u in n, 0.4, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758672 to the power of 1\/2, to the nearest integer?\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.3, 0.13, 5, -4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 10*t**2 + 2. Let f be l(-10). Let a be (-12)\/(-3) - f*-7. Is 16\/72 - (-1904)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330174094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/132 and -23\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 9503?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/(-7)*(-812)\/(-174). Suppose o - 12 = 2. What is the remainder when o is divided by (-2 - w\/(-15))*15\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 490528 and 2.\nAnswer: 490530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/120 and 7\/2010.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.4 - 33. Let l = -6 + p. Which is the smallest value? (a) -1\/5 (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(0 + 2*m + 0) + (4 - 5 - 1 + (3 - 4 + 3)*(1 - 2 + 3) + 1 - 4 + 2 - 6 + 1 + 3)*(-15 - 2210*m - 20*m + 17).\nAnswer: 2234*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4232, -4212, -4192, -4172, -4152, -4132?\n\"Answer: 20*h - 4252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 3*j**2 - j**2)*(-6 - 2 + 13) + 4*j**2 - j**2 - j**2 + 7*j - 2*j**2 - 7*j + (j - j + 3*j**2)*(-6 + 1 + 1) + 4*j**2 - 6*j**2 + 0*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860, 862, 860, 854?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/40?\nAnswer: 17\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -5, -170, -8955.\nAnswer: -8955, -170, -5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.38. Let k be 0 + (-6)\/(-16)*-1. Sort k, d, -0.1 in ascending order.\nAnswer: k, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 13256?\nAnswer: -13254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5515, 5518, 5521, 5524, 5527, 5530?\n\"Answer: 3*o + 5512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -65.13849 and 5?\nAnswer: 70.13849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1 - 6 - 3*v + v - 3*v. Let f be b(3). Let p = f - -21. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-171)\/66)\/(-19))\/(((-602)\/(-56))\/(-43)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/35 and -47\/54310.\nAnswer: 380170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 6, 0, -0.16 in descending order.\nAnswer: 29, 6, 0, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 264920304 a multiple of 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 2*k - 1. Let v be d(-2). Suppose -2*b + v = -37. What is the remainder when 46 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j - 10. Let b be i(5). Let r(u) = 45*u**2. Let z(o) = -5*o**2. Let w(g) = -g**3 + 6*g**2 + 5*g + 8. Let k be w(7). Calculate b*z(x) + k*r(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7599316723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 8*t**2 + 7*t + 14. Let p be q(-7). Let y be 32\/p - (-22)\/(-77). Suppose -y = -u - 0*u. Solve -2*c - 3*g - 6 = 0, -c - u*g - 5 = -0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -131 and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 3, p: 4, c: 8}. Give prob of picking 1 o and 1 c.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1936 and ((-98)\/6 + 3)*(30294\/(-85))\/9.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -4, -14, 4\/39, -1 in increasing order.\nAnswer: -16, -14, -4, -1, 4\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 142 - 69 + 2*r)*(0*r**4 + 3*r**4 - r**4).\nAnswer: 4*r**5 + 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuogoftofduugd. Give prob of picking 2 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24261\/7 + -3472. Calculate the common denominator of g and 20\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108817775*t**2 + 24953066*t wrt t?\nAnswer: 217635550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 249575 and 11175?\nAnswer: 748725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1702 + 3399 + 5*m**3 - 1697.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-24720)\/272)\/(-15) - (-2)\/(-34))\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 515, -345, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f - 390. Let a = -98 - f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 1\/5 (c) 0.5 (d) -60\/11 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159 + -1111\/7. Let r = -4129\/3 + 1362. Let x = 15 + r. Put -3, l, x in ascending order.\nAnswer: -3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 18}. What is prob of sequence sq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -23. Calculate the remainder when 87 is divided by 46\/10*(p + (-1 - 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-9)\/(-2) - (-1577)\/38).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/5 - 123*c**4\/5 + 3132*c**3\/5 - 17148*c**2\/5 + 1680*c + 5760 = 0. What is c?\nAnswer: -60, -1, 2, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + (-1 - -5))\/(4\/1096). Let t = o + -284. Sort t, -2, 4 in descending order.\nAnswer: 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkhkdkkuedddd. Give prob of sequence kke.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 minus 24596367?\nAnswer: -24596428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 8539 - 9322 = 0 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r + 195330000 = -15*r. Round r to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15893 + 4.\nAnswer: -15889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*s**2 + 2 - 6*s**2 + 0 + 0 wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-191)\/(-12))*(-2 + 62)*2\/1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*(m*m**2*m)\/m*m)**17*((m**0\/m)\/m)\/(m*m\/((m\/((((m**0*m)\/m)\/m)\/m)*m)\/m)) assuming m is positive.\nAnswer: m**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-231870)\/100477)\/(2\/(-13))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/12*28\/(-6). Let h = 3 - w. What is the second smallest value in 1\/2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000225409 rounded to seven dps?\nAnswer: 0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - 4*d**4 + 2*d**4 + 27*d**4 - 53*d**2 + 53*d**2 + (-3 + 3 + d)*(-1 + 1 - d**3) + 17*d**4 - 2*d**4 - 40*d**4.\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 14. Suppose 2*d = f + 4, -h*f = -4*f - 5*d + 24. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1628, -1697, -1768, -1841, -1916, -1993?\nAnswer: -2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3223?\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 9*a + 15. Let k be p(7). Let 15*y**4 + 5*y**4 + k*y**3 - 2*y**2 + 5*y**5 + 12*y**2 - 4*y**3 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1359, 2544, 3731, 4920?\nAnswer: 6111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*i + 1714, -14*i + 10*i = 2*a - 832. Let l = 562 - a. What is the lowest common multiple of l and 17?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:37 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (70\/(-6 - 1))\/(1\/(5\/10)). Let o be 18\/(-4)*-1*-2. Let g be ((-7)\/21)\/((-1)\/o). What is the fourth biggest value in g, 3, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -621, -639, -657, -675, -693?\n\"Answer: -18*f - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 8*g. Let t(j) be the second derivative of -j + 1\/2*j**2 + g - 5\/6*j**3 + 25\/48*j**4. Factor t(i).\nAnswer: (5*i - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1052*u**2 - 1040*u**2 - 1053*u**2 + 5241*u**2 - 1039*u**2 - 1041*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3 + 9 = 0. Solve -5*q = j + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7389815 (base 11) to base 6\nAnswer: -1142534443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/360 - v**4\/144 - v**3\/18 - 4*v**2. What is u in x(u) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -s - 4, 0 = -4*s - 2*w + 24. Solve o = 5*a - 17, 0 = -3*o - 2*o - s*a + 31 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - (sqrt(63) + (sqrt(1575)*1 - sqrt(63)) + sqrt(63))) + sqrt(2268)*1)\/(sqrt(1296) - -6*(sqrt(18)\/sqrt(2) - sqrt(9))) + -5.\nAnswer: -5 + sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 - 0.016\nAnswer: 2.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 44*f. Let g(x) = -2*x**2 + 4. Let j(z) = -z**2 + 3. Let k(q) = -3*g(q) + 4*j(q). Calculate y(k(b)).\nAnswer: 88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2116786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2254, 8995, 20236, 35983, 56242?\nAnswer: 81019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -385656135?\nAnswer: 385656134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/15216 and 53\/2779456.\nAnswer: 8338368","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -1101100100 (base 2) to base 7\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1264, -1484, -1700, -1912, -2120, -2324?\n\"Answer: 2*x**2 - 226*x - 1040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/(k**(-3\/10)\/k))**(-23) assuming k is positive.\nAnswer: k**(-529\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 12 - 1)*((-2*x**3 + x**3 + 2*x**3)*(1 - 5 + 1) + (x**2 - 4*x**2 + 4*x**2)*(x + 0 + 0) + 3*x**3 + 0*x**3 - 4*x**3).\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -10*m**3\/3 + 4*m**2 + 2*m - 29. Let l(g) = -9*g**2 + 7*g + 2. Give -6*l(w) + 5*s(w).\nAnswer: 4*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 + -247. Suppose -419 = -a*z + 1341. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 - 17530*s**4 + 158355*s**3 + 632700*s**2 = 0.\nAnswer: -3515, -3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from aafaafaaqaaq?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - -4?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -30.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -792.\nAnswer: -5\/792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 = -9680*z + 9694*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 + 124. Let c be (-83095)\/(-9) + i\/162. Suppose 6*m = -m + c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63588 and 27252.\nAnswer: 190764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8527, -8527, -8517, -8491, -8443?\n\"Answer: z**3 - z**2 - 4*z - 8523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 110 = -5*x - 7*o, -2*o - 110 = -5*x. Suppose -x = -4*h + 2. Suppose -5*j + 3*w + 53 = 0, -3*w = j - 1 - h. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 - 2*n - 15. What is j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 + 244*v**3 - v - 235.\nAnswer: -24*v**2 + 1464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -0.03, -6.92 in ascending order.\nAnswer: -6.92, -6, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 9 = c, 0 = -s + 4*c + 9. Solve s*x - 35 = -4*a, -5*a - x = x - 31 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27408.3, -2\/5, 24 in decreasing order.\nAnswer: 24, -2\/5, -27408.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*v + 2, 2*v - 7 = 4*h - 29. Solve 2*u + 0*t + 16 = h*t, -2*t = 3*u - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-10))\/((18\/4)\/9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ed10b + 59?\nAnswer: -ed0a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5997658 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s, 2*d + d - 2*s = -7. Let t(c) = 36*c - 1. What are the prime factors of t(d)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10380, -41406, -93126, -165546, -258672?\nAnswer: -372510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2259*d**2 - 1834233*d\/4 - 15225\/4.\nAnswer: 3*(d - 203)*(3012*d + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 33*b + 102. Calculate o(-28).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 0.027 (c) 0.5 (d) 3\/5 (e) 0.4 (f) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 891 = -19*v. Let u = v + 84. What is the remainder when u is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 10. Let h = 13 - 20. Let i be u(h). Suppose -5*r = -f - 327 - 53, -r = -i*f - 62. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 + 5*k**4 - 519*k**2 + 519*k**2 with respect to k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(1 + (-17)\/5)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/51? (a) 4 (b) 0.3 (c) -2 (d) -9\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 44. Let h = y - 53. Let p = 17.99999948 + h. What is p rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.489 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2718*c - 5*c**2 - c**3 + 1357*c + 20*c**2 + 1364*c. Give i(15).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 484, 729, 974?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38456 divided by 23?\nAnswer: -1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*m - 120*m = 615. What is the remainder when 116 is divided by m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b582 + 75?\nAnswer: b617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, 8, 5, -5 in descending order.\nAnswer: 8, 5, -5, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2. Let r(p) = -25*p - 2. Suppose -11*f - 36 = 5*z - 7*f, -4*z - 4*f = 32. Let w(n) = 23*n + 2. Let o(v) = z*w(v) - 3*r(v). Determine o(b(j)).\nAnswer: -51*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9554 + 9553. Is h greater than or equal to -2\/24311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010100100011011111 (base 2) in base 8?\nAnswer: 1244337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 408986723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - 16*c + 42. Let n(v) = -v**2 - 5*v + 15. Calculate -14*n(y) + 5*x(y).\nAnswer: -6*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2910, 5715, 8414, 11007, 13494?\n\"Answer: -53*c**2 + 2964*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 380, 814, 1342, 1964, 2680?\n\"Answer: 47*u**2 + 293*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 2*-3*8\/(-12). Solve n - 28 = -n + 5*u, 3*n - 28 = w*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 4305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50852 + -35799. List the prime factors of a.\nAnswer: 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + f = -k - 436, -5*f + 865 = 2*k. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165681 is divided by 64735?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*u + 28 + 6, 4*u = -5*h + 67. What is the lowest common multiple of u and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 not equal to -138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15890 in -5, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -12) + (-16 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 8*q - 105. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(15\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t + 5*w + 240 = 0, 0 = 4*t + 3*w + 194. Let r = -53 - t. Which is the nearest to 0.2? (a) -4\/5 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**8\/1344 - v**7\/480 + v**6\/720 - v**3\/2 + 3*v**2. Let g(r) be the first derivative of l(r). Factor g(k).\nAnswer: k**2*(k - 1)*(5*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) - 25\/(-4). Let x(g) = -5*g - 49. Let w be x(-11). What is the greatest common factor of q and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78700 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.4 (b) -1 (c) 2 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 25*f**5 - 5*f**4 - 116*f**3 + 16*f**2 + 64*f + 16 = 0.\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/(-25))\/3)\/(-2*9\/(-120)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838036574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k. Let p be i(-4). Suppose 0 = -3*z + 75 + 189. Calculate the greatest common factor of p and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 3*l - 114, -18*l - 38 = -k - 11*l for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let t = -0.2794 - -0.7794. Let j = -0.095 + 0.095. What is the nearest to -2 in j, 5, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2607 and 418?\nAnswer: 99066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6407366 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 21 + -40 + 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -29 - (110 + -90 - -4) - (3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8*4\/(-16))\/1. Let n be v\/((-20)\/54) - 20\/(-4). Let m = 5.12 - 0.12. Put n, 0, m in decreasing order.\nAnswer: m, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/6700947 and -161\/30?\nAnswer: 67009470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -956720 and -0.048 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:43 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/7 and (-5253)\/(-374)*4\/(-192)?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2692 * 279241.\nAnswer: -751716772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -608973 divided by -3?\nAnswer: 202991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 17 = 188*q - 185*q, 27 = -4*b - 5*q. Factor 1\/2*c**3 + c + 0 - 3\/2*c**b.\nAnswer: c*(c - 2)*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*-1*1\/(-1)*(-1615)\/(-1615)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 0.018, -5, -0.019?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 + 2 + -1. Find the third derivative of -g**2 + g**2 + 3*g**6 - 2*g**6 - 4*g**o wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -388 - -388.23. What is the nearest to -3 in c, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 129031823 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 12. Let f be y(-9). Suppose -5*c + 0*u = 5*u - 95, 4*c + f*u = 73. Does 16 divide c\/((-9)\/(-6) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1669969)\/(-2940))\/173 + (-64)\/20?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485948 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-3 + -2)**2*-6 + 1 + sqrt(75) + sqrt(75) + -4.\nAnswer: -189 - 62*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13656 + 31299. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25462, 50921, 76366, 101791, 127190, 152557?\n\"Answer: -s**3 - s**2 + 25469*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.2 (b) 4 (c) -1997.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + 12\/5. Let b be 2*-299 + -4 + -4. Let c = 609 + b. Solve g - c = l*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 2.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/(-352) - (-1476)\/836)*(13\/6 + -2).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7509768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 - 67. Let a = t - -251.1. What is the nearest to -1\/3 in a, -2\/11, -3, -1\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1019054 and 27\/556114?\nAnswer: 967082246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-1\/3)*v)*v)\/(v**(-1\/3)\/v) assuming v is positive.\nAnswer: v**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 3*h**4 + 2*h**3\/3 - h + 7. Let i be r(-1). Is i at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5869?\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 13061*o - 66 = 13052*o, 2*b - 16*o + 56 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9364356*w + 9364356*w + 17225*w**2 to i + y*w**2 + f*w and give y.\nAnswer: 17225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*f - 226, -5*f - 14 + 292 = -4*s. Let x be (-1 - 1)\/2 + f. Suppose -3*p = -0*p - x. What is the highest common factor of p and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, u: 8, n: 2}. Give prob of picking 3 u and 1 n.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -387 or -6193\/16?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31462+33\nAnswer: 31495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1959656 is divided by 978622?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*l - 10. Let x be l + 10*(-2)\/2. Let o(a) be the second derivative of a**3\/6 + 11*a**2\/2 + 2*a. What is o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 15*q**2 + 19*q + 67. What is k(18)?\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13271, 14488, 15705?\nAnswer: 16922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20\/(-9) + 2 + (-9605)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1\/5, -0.3, 21, 1, -392, -5?\nAnswer: -392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980699 is divided by 980630?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m**(-1\/3)\/m*m))*(m*m\/m**(-6))\/m)**(5\/3))**(-13\/3))**(-1\/11) assuming m is positive.\nAnswer: m**(1300\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 + 9*r - 22. Let g be f(-7). Suppose -7*v + g = -8. Calculate the greatest common factor of 136 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2129\/1212 + -2\/303. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*h + 74 - 44, -14 = -2*h - 2*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-6) - 3 - 16\/(-48). Let l(w) be the first derivative of 1 + 2*w - 1\/2*w**2. Give l(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3442 - -3?\nAnswer: 4000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:49 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/6 - 40*t**4\/3 - 511*t**3\/2 + 121*t**2\/3 + 2384*t\/3 + 512 = 0. Calculate t.\nAnswer: -48, -32, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9021 and -6?\nAnswer: -54126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6*q + 125 = 0, -4*t - 48*q + 45*q + 56 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 1, r: 1, x: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/12)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/((-1)\/6*3). Suppose -6*g = -9*g - h. Let i = g + 25. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 504458\/(-13634) + 25 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 3. Let r(w) = -3*w**2 + 2*w + 1. Give r(c) + 2*s(c).\nAnswer: -3*c**2 + 4*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/9))**(-1\/86)\/(c**(3\/5))**(-10\/3))**(-43) assuming c is positive.\nAnswer: c**(-1547\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 13*f - 17*f. Solve g - f*g = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a + -42?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6495223307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**14*r*r**15*r*r)\/(r\/(r**11\/r)*r\/r**12) assuming r is positive.\nAnswer: r**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*x**6 + 5*x**2 - 37*x**5 + 7*x**5 + 30*x**5 wrt x.\nAnswer: 18240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 48 - 91 + 43.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 12 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -200876\nAnswer: 60262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 3*d)*(2*d - 4*d + d) + d**2 - 7*d**2 - 10*d**2.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z - 4 = 0. Suppose z = -2*x + 4. What is the units digit of (x\/(-2))\/((-1)\/104)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*5\/360*-4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8436 divided by -6?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/484068 and -53\/6955?\nAnswer: 2420340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 + 24*l**3 - 82*l**2 + 60*l.\nAnswer: -2*l*(l - 6)*(l - 5)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by 318089.\nAnswer: 396\/318089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 40 = 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*x = 2771*x + 368*x + 51121 + 26383 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) - (sqrt(114) - -1*sqrt(114)*3)))\/(-2*sqrt(6)*3) - (3 + -1 + sqrt(684) - -4*(5 + sqrt(304))).\nAnswer: -68*sqrt(19)\/3 - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75595732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8)\/(462775\/3424 - 135)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1)\/(2\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 37*y - 17. Let d be c(-18). Solve -2 = 4*g + 3*u + 3, d = u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 3\/2, 4, 490?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s - 705. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a = 57 - 249 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/56*2*((-1)\/7)\/((-348)\/116)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*g + 24. Suppose 2*n - g = 5*d + 10, 0 = -2*n - 2*d + 20. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249420.6 rounded to the nearest 100?\nAnswer: -249400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 499 + -56?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 152*u + 2*u**3 + 152*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyuryyy. What is prob of sequence yry?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1495089 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 191520*m**2 + 957675*m = 0. What is m?\nAnswer: -5, 0, 63845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 7. Let r be n(6). Let g(l) = -2*l**3 + 27*l**2 + 14*l + 3. Let h be g(14). Sort r, 25, h, 1 in decreasing order.\nAnswer: 25, r, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 9*m**5\/20 + m**4\/24 + m**3\/2 + 19*m**2. Does 19 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k + 2*k + 9*k - 2. Let g(s) = 100 + 101 + 95 - 297. Give -b(n) + 4*g(n).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -3, 0, -467, 2, 1.\nAnswer: -467, -62, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1074976883*a**2 + 1224072069.\nAnswer: 2149953766*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.08 (b) -9 (c) -4 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**3 + 2*u**3 + 11*u**3 + (-2*u + 2*u + 2*u)*(u**2 - 4 + 4))*(-1 - u + 1) to the form f*u**3 + m + p*u**4 + b*u + x*u**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.7 + 22.8. Let v = 8 - a. Let m = 1 + v. Is 2\/3 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53317 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.008587 - 340078.\nAnswer: -340116.008587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*y - 3 - 265, -2*y = -5*p + 648. Let h be -1 + 4 + p\/8. Put -3, 3, h in decreasing order.\nAnswer: h, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67 - 4?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7))**45*(u**(-4\/7)*u*u)\/u*u\/u**(-2) assuming u is positive.\nAnswer: u**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.35 - 21.46. Which is smaller: -926 or s?\nAnswer: -926","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:49 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110)*2*-4)\/(sqrt(90)*2 - sqrt(90)).\nAnswer: -7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370 and 11285?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -22\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -90. What is the remainder when x is divided by -3 + 3 + (34\/(-1))\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -1595. What is the greatest common divisor of 80 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-4 + -2) - 4. Suppose -i + 2*i = 0. Suppose -w + i + x = 0. Which is the second biggest value? (a) 3\/2 (b) w (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4 = b, -4*b - 3*t = -7*t - 16. Is 373 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 8*p + 9051 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 7:53 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:32 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**8\/1176 - 13*k**7\/735 - 23*k**6\/420 + 39*k**5\/70 + 3*k**4\/2 + 569*k**2 + 1. Suppose b(r) = 0. Calculate r.\nAnswer: -3, -1, 0, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - -99?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/(-21)*-2 + 8\/(-6). Let n be (j - -6)\/(-1) - (0 - -7). Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 11692*n**2\/3 - 300950*n + 5848752.\nAnswer: -2*(n - 5768)*(n - 39)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 567826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 - 147360*t + 147362 = 0. Calculate t.\nAnswer: -73681, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000407 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b5 (base 13) to base 7.\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292322497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -9*g + 103. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (285\/(-513))\/(280\/(-48)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -2130\nAnswer: 23\/710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3 = -4*t - 15, t + 1 = 0. Let s = 2 - j. Suppose 0 = 4*z - 9*z - 5*y + 25, 2*y = s. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.413328 to 3 dps.\nAnswer: -0.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.2 - 8.5. Which is the closest to -7? (a) 0.1 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43219.\nAnswer: 11, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*w = -41*w - 15. Let i(b) = -132*b**3 - 28*b**2 - 28*b. Let t(j) = 24*j**3 + 5*j**2 + 5*j. Give w*i(u) + 28*t(u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.545424 litres to millilitres.\nAnswer: 2545.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.8 - 70.2. Let z = m + 77.00337. Round z to four decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -16. Let d be (3\/4)\/(47\/(-48) - -1). Let x = d + k. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.5 - -111.5. Let v = -145.77 + z. Is 1\/4 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 1066390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177443.38*0.3.\nAnswer: 53233.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 52 - 29 + y**2 + y + 116 - 26. Is b(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1. Suppose -12 = -22*v + 19*v. Which is the biggest value? (a) 0.4 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(12)*3 - (-1*sqrt(3267) + sqrt(27)).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.12, -0.176, -271, -0.31?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -307613951?\nAnswer: 307613956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7654320 and 1440.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323243 (base 5) in base 3?\nAnswer: 1100121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -30210?\nAnswer: 30212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, 0, -5, -246 in decreasing order.\nAnswer: 14, 0, -2, -5, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 25752, 51425, 77096, 102765, 128432, 154097?\n\"Answer: -r**2 + 25676*r + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43869 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -46, -101, -178, -277, -398, -541?\n\"Answer: -11*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*g**2 + 5732*g + 1640 = 0. What is g?\nAnswer: -2\/7, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 1.3. Suppose -4*f - 22 = -126. Suppose -2*i = -4*b + f, b = -i + 2*b - 8. What is the closest to o in i, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2 - 145501*x\/3 + 145492\/3 = 0.\nAnswer: 1, 145492\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*q**2 - 571*q**2 + 191*q**2 + 191*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 5, 4\/9, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 1852*y**3 - 286440*y**2 - 14893648*y - 14609056.\nAnswer: -4*(y + 1)*(y + 154)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 0.04. Sort 0.1, -4\/5, m.\nAnswer: -4\/5, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4020417 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)\/(1\/3). Let z = w - -7. Suppose l - 9 = -5*t, 0*t - t + 4*l + 6 = 0. Which is the nearest to 1\/2? (a) t (b) z (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -763.1 + 763.3. Let y be (-7)\/(-15) - (-1)\/5. Which is the nearest to 0.1? (a) 2\/13 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373727380*v**5 - 40539*v**2 - 4629.\nAnswer: -22423642800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3*6\/2*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(2 - 4 + 1) - 1 + 1 + 13)*(-5*n**3 - 3*n**5 + 2*n**3 + 6*n**3).\nAnswer: -42*n**5 + 42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z**2 + 22*z**2 + 1 - 10*z**2 - 37*z**3 to the form a*z**2 + q*z**3 + p + h*z and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a + 1. Let y(h) = -6*h**2 + 11*h + 6. Let i(r) = -r**2 - 48*r + 462. Let x be i(8). Calculate x*c(g) - 2*y(g).\nAnswer: -2*g**2 - 8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 370333, 370347, 370361, 370375?\n\"Answer: 14*n + 370319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.0257994 + -4.\nAnswer: -6.0257994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - -4.87. Let t = -4.6 - -5. What is the closest to 2\/5 in o, t, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638876751 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 9\/1) + 2*1. Suppose -2*q + 3*j + j + 82 = 0, 0 = 5*j - 20. What is the remainder when q is divided by 7\/((-1)\/10*g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 3*t + 5*g + 187, 5*t + 451 = g. Let p = t - -130. What is the tens digit of (-3 - 0) + 1 + p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 21 = 9. Solve -s = -w + 2*i, -4*w - i = w + 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/((-9)\/5454). What is the common denominator of 4\/(-1 - 15)*a\/(-12) and -4 + 13\/11*30\/4?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 1 + 4\/(-2). Solve -j*u = -4 + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14069*i + 7034*i + 4*b - 20 = -7031*i, 4*i - b = -8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 16*v**3\/3 - v - 2. What is the remainder when q(1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-6) + 3)*(4 + -1). Suppose w = a*z + 42, -4*w + 0*w + 2*z + 138 = 0. What is the remainder when w is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2 - n - 1. Let w = 7 - 3. Let p be -4*(0 - w\/(-16)). Is 4 a factor of y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 4*j - 2*j + 9*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -15. Let k = -20 + h. What is the units digit of (-10)\/(-45) - 34\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 11:33 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303 is divided by 78?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l - 1. Let i(j) = 6*j + 9*j - 21*j + 5*j. Determine o(i(r)).\nAnswer: -7*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 11 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1266 + 5735. List the prime factors of i.\nAnswer: 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 59. Let o(w) = -5*w**3 + w**2. Suppose 0 = x + 4*i - 11, 4*x - 2*i - 2*i = -16. Let d be o(x). What is the highest common factor of d and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 3}. What is prob of sequence xkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 8. Suppose 4*p + 8 = 0, 33 = -4*l + 5*p - 41. Let n be (-351)\/l + 10\/35. Suppose -5 = -w, 2*d - 3*w + 2*w = -n. Determine h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343929433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/349, -0.119, -1\/4, -1 in decreasing order.\nAnswer: 2\/349, -0.119, -0.2, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -330\/17 in 2, -0.4, -0.9, 1\/4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 7*o + 7. Let g be b(-6). Suppose 6*s + g = 13. Suppose -x = s*x - 150. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -16. Suppose -x = -2*f - f. Find the second derivative of k**f - 1 + 1 + 2*k wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 8. Let n(l) = -14*l + 2. Let a be n(3). Let h = 47 + a. Suppose m = 8*m + h. Let o(f) = f + 1. Give m*s(x) + 8*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + (18 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from {r: 14, c: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10551 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 4*o, 4*x = -6*o + 4*o. What is the closest to -1\/7 in o, -0.5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 9:06 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -43*m - 42*m - 1 + 86*m. Let p(y) = -4*y - 1. Let x be p(-1). Let i(t) = 2*t - 3. Give x*j(s) - i(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 76376239 + 4*r - 76376239.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 13*f + 6. Let d(z) = 3*z. What is h(d(p))?\nAnswer: 39*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65253 (base 7) to base 13\nAnswer: 7527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7600 or 7467?\nAnswer: 7600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 800, 867, 1052, 1415, 2016, 2915, 4172, 5847?\nAnswer: 8000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(-3*(2*sqrt(11) + sqrt(11)) - sqrt(11)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 715967886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 211113 (base 4) to base 14\nAnswer: c2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512 - 1520 + 532 + 12*g + 510.\nAnswer: 12*g + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 10*i**2 - 5*i + 20. Let y be w(-9). Let q = -3 - y. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 5*o + 6. Let r be c(-6). Let v(f) = r*f**3 + 4*f**3 - 3*f + 1 + f**2 + 0 - 3*f**3. Determine v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - 3*f**5 - f**5 + (4*f**2 + 2*f**2 - 3*f**2)*(2 - 2 - 2*f**3) + (-f**4 - 2*f**4 + f**4)*(-f + 3*f + 0*f - 1) - 222*f**5 + f**2 - 3*f**2 + 159*f**5.\nAnswer: -78*f**5 + 2*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 + 2*u - 16*u**2 + 7*u**2 + 3*u**3 + 7*u**2 + 3 to the form f*u**2 + k + b*u**3 + p*u**4 + o*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4*((-20)\/(-24))\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7154 divided by -1\nAnswer: -7154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 - 456*l + 452 = 0. What is l?\nAnswer: 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61 and -1558528103.\nAnswer: -1558528042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*p - 88*p - 1 = t, -2*t = 3*p - 20 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*(28 - 8645\/315)*(-51)\/2176?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 311340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kakkakakkkkkkkkkkka.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -12, -1\/4, 1\/2, -2\/23?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 + 5 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/5 + 13372*u**3\/5 + 756318*u**2\/5 + 4056948*u\/5 = 0. What is u?\nAnswer: -6629, -51, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 14) to base 6.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 7) to base 2\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 688 = t + 3*t, u + 2*t - 140 = 0. What is the remainder when u is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + o**3 + 6*o**3 + (-2 + 2*o**3 + 2)*(2 - 3 + 3) + 0 + 2*o**3 + 0 + (-3*o + o + 3*o)*(8*o**2 + o**2 + 10*o**2).\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50558 - 135397 = 5*f. Let d = 6091 + f. Round d to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.495 + -0.105. What is g rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 238*s - 12 - 322*s + 1 as n + h*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139.9 - -140. What is the nearest to c in 11, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -14541001, 3 in descending order.\nAnswer: 3, -2, -14541001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2\/(2 + -4). Let k(j) = 15*j**2 - j. Let f be k(q). Suppose -3*w - 17 - 3 = -m, -m = -w - 16. Calculate the greatest common factor of m and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 94, 143, 194?\n\"Answer: x**2 + 44*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 20. Let j be 3\/(-2 - 4)*8. Let i = d - j. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.19 + 0.01. Let c = -0.081 + 1.581. Let d = c - j. What is the nearest to d in -2, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykpy. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 2*z + 15. Give s(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2578 = -1991*l + 1404 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 228*n**4 + 2*n + 275?\nAnswer: 912*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -82*r + 4251. Determine j(52).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122058.63s in days?\nAnswer: 1.412715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1175270 in decreasing order.\nAnswer: 1175270, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5586 = 5*i, -c - 2234 = -2*i - 2*c. Does 1117 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*n + 50*n + 57*n - 310*n**2 + 54*n.\nAnswer: -310*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 4*p - 448. What is the thousands digit of j(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*c - 4, -4*c - 4 + 14 = -3*g. Let u(z) = z**3 - 3*z**2 + z + 3. Let a be u(3). What is the units digit of (0 - 1) + a\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18029767 and 9842.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 31*k**2. Let h(s) = -4*s**2 + 16. Let a(j) be the second derivative of j**4\/12 - 5*j**2\/2 + 10*j. Let f(o) = -16*a(o) - 5*h(o). What is f(w(v))?\nAnswer: 3844*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-4) - 1 - (-53 + 8610\/164).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**5 + 0*n**4 + 0*n**3 + 0 + 18*n**2 - 11\/30*n**6 - 39*n. Differentiate x(d) wrt d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -21. Let u(h) = 11*h + 25. Let z be u(17). Let f = 276 - z. What is the highest common divisor of l and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 30 - 10. Suppose 23 + 13 = -2*i. Let k = b - i. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 411 - 413.2. Let d = f - -2.1997876. What is d rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6296, -50869, -172024, -408053, -797248, -1377901?\n\"Answer: -6382*m**3 + m**2 + 98*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, k: 1, j: 3, i: 5}. What is prob of picking 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2677036 and 3224.\nAnswer: 69602936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-60) - 17\/((-935)\/22). Which is the second biggest value? (a) -0.1 (b) 18\/13 (c) -2\/9 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614*j - 11 = z - 1609*j, 54*z - 5*j + 44 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i + 12. Let o be -3*-2*i\/9. Suppose 0 = 5*w - w. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(176)*-1)\/sqrt(11) - (sqrt(1024) + (sqrt(1024) - 2*sqrt(1024))))\/(-1*sqrt(64)\/sqrt(8)*6))**2.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 13)*(0 + 0 + d + (0 + 2 - 4)*(3*d - d - 4*d) + 2 - 3*d - 2*d + 12*d + 2*d + d + 0*d).\nAnswer: 240*d + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*(-56)\/96?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1430 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)\/(sqrt(10) - sqrt(10)*-2))**2 - (sqrt(33)\/sqrt(3) + -1)) + -6*(sqrt(891) + -1).\nAnswer: -55*sqrt(11) + 74\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**3 - 2 + 2 - 779*q**3.\nAnswer: -792*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -683, -1390, -2191, -3134, -4267?\nAnswer: -5638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -7. Let d(f) be the third derivative of 1\/72*f**4 + 0*f**3 + 1\/630*f**7 + 0 - 1\/180*f**5 - 1\/360*f**6 + n*f - 3*f**2. Factor d(m).\nAnswer: m*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/11, 94?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8 - -12.8. Let f = 13 - b. What is the closest to 0 in -3\/5, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 36?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(891).\nAnswer: -27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -128.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-13)\/(-8112))\/((-102)\/(-2652)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3.26, -1, -1\/10, 0?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4090014 and 6?\nAnswer: 4090014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-5 - (4 + -9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 271097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 11.3 (b) -0.7 (c) -2.4 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-8 - -1)*-1 + (-5800)\/600)*24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 36?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200197821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -691870370 = -14*q + 1374813665 - 28144035. What is q rounded to the nearest one million?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/1*1635\/(-195). Let z = f + 292. Find the common denominator of 3\/(15\/(-47)) + 2 and z.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 + 5*o + 11. Determine p(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 76. What is z(-16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6) + (-2 - 2) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kky when three letters picked without replacement from kkyytyk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -6, 128, 390, 822, 1466?\nAnswer: 2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -12. Suppose -x - x + 32 = 0. Is 59\/2*x\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 4 + -5 - -5) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001416533235 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = i - 2, 219*l = 226*l - 5*i + 2 + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.215 times 9\nAnswer: -10.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -16*x - 155. Let o be v(-10). Suppose -y - 2*n = -22, -15 - 28 = -2*y - o*n. What is the greatest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - f + 348 = -2*a, -471 = -4*a + f. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133277 divided by 1358\nAnswer: -133277\/1358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 - 2*z + 2. Let q(i) = 20*i**3 - 186*i**2 + 3564*i - 36. Let l(a) = -36*n(a) - 2*q(a). Factor l(h).\nAnswer: -4*h*(h - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2285657, -4571325, -6856993, -9142661?\nAnswer: -11428329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18983173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1171 divided by -4\nAnswer: 1171\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -39. Solve -7 + 22 = 3*v - o, v - f = 5*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-15*(2055\/822)\/((-50)\/(-24))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158958405*p**3 - 8*p**2 + 126027*p - 24?\nAnswer: 953750430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 46*z + 26. Give g(45).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.1, -285905, 5, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10103 (base 4) in base 16?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**3 - 6*s**2 + s + 7. Calculate the remainder when 330 is divided by k(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -32. What is the remainder when 41 is divided by (-98)\/g - (-1 - 20\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 22*v + 2921. Is u(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 - -1. Let z = -6260.2 + 5258. Let j = 1002 + z. What is the biggest value in c, j, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 235. Let q(m) = -2*m. What is q(d(u))?\nAnswer: 4*u - 470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*s - 48*s - 44*s - 47*s - 59*s + 268*s - 66*s.\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -146560 (base 9) in base 10?\nAnswer: -90126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -866*w**5 + 171*w**4 + 13150*w - 3?\nAnswer: -17320*w**3 + 2052*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1520*v**2*y**2 + v - 60*y**2 - 1 wrt v?\nAnswer: -3040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -14, -2\/9, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p - 29*p - 37*p + 3*i + 28 = 0, -5*p + i + 57 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*v + 46 = l, -v - 17 = -l. Let d be (-4)\/(-14) + l\/28. What is the nearest to -2\/5 in -0.4, 0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.881 or -2\/1655?\nAnswer: -2\/1655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232090 and 162463?\nAnswer: 1624630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/6*792\/(-1080))\/44?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = 2*j - 4*q - q + 174, -46 = 2*j + j - 10*q - 244 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682 - 26230 = -6*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1758*d**2 + 12*d + 20. Let c be a(-2). Let l = -4873 + c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h + 104 = -2*o, 4*o - 8 = h. Let d be -2 + (50\/h - -4). Are d and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*g - 416*g**2 + 2*g**3 + 167*g + 239*g + 172*g.\nAnswer: 2*g**3 - 416*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i + 12*i - 67*i - 45*i**2 - 11*i as x + q*i**2 + n*i and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t - m - 18 = 0, -2*t + 3*m + 15 = 0. Let b(j) = -2*j**t - 2*j**3 - j + 5*j**3 - 1. Let c be -4*1 + (2 - 0)*1. Calculate b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -582 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43599 and 43599.\nAnswer: 43599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/54 - (-112)\/18. Suppose 3*a + 6 = p*a. Differentiate -4 - 2*v**2 - 2*v - 2*v**2 + a*v with respect to v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (5\/((-60)\/(-8)))\/2. What is the nearest to 1 in -0.3, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4042, 31090, 104506, 247474, 483178, 834802, 1325530?\nAnswer: 1978546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxaxxuapxxxxcvxxccx. Give prob of picking 3 c.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -533 - -23\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s - 19. Let g(y) = y - 1. Let z(u) = c(u) + 5*g(u). Let q be (-1)\/1*(10 - 13 - -1)*-8. Give z(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**5 - 265*k**4 + 2665*k**3 + 18385*k**2 + 27690*k + 12240 = 0 for k.\nAnswer: -3, -1, 24, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1967, 3920, 5827, 7688, 9503?\n\"Answer: -23*y**2 + 2022*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n. Let c(i) = -6*i - 317037. Give c(w(y)).\nAnswer: -12*y - 317037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 459*q + 372?\nAnswer: 459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -36. Let l(c) = -c**2 - 7*c + 11. Let p be l(-8). Suppose p*j - b = -j. Calculate the remainder when 43 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 1:46 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339152, 677364, 1015578, 1353794, 1692012, 2030232?\nAnswer: 2368454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/5 - 8*n**3\/5 - 11*n**2\/5 + 4*n = 0 for n.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 336*u + 28 - 123.\nAnswer: -336*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.55 and -0.900422.\nAnswer: -12.2007181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 7. Let o be (-6)\/a*14\/(-63). Suppose 3*q = q. Does o = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3203 + 95204295.\nAnswer: 95204292.6797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162683 less than 24?\nAnswer: 1162707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*k + 347, 4*d + 2*k = -0*d + 730. What are the prime factors of d?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-141.46.\nAnswer: 42.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2238, -3074, -3910, -4746?\nAnswer: -5582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8233631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -5 + 17\/(170\/3560)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8344 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -128, 2, -4, -91 in ascending order.\nAnswer: -128, -91, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4470 + 4180. Is r not equal to -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 326 = -70*d - 214, -716*d + 4*q + 28 = -717*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*w - 789, -q - 3*q = -4*w + 1620. Let z be -3 - 5\/(650\/q). Is 0 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d. Let o(v) = -48*v. Give 39*c(q) - 6*o(q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*m - 111*m + 3 = -3*f, -4*f + 14 = -2*m. Suppose 3*s - 4*k = 29, -f*k - 10 - 3 = -s. Solve -s*r - 10 = -22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -307 - -304. Which is the nearest to -0.2? (a) -4\/9 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18866 times 0.05?\nAnswer: 0.009433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**4 - 20*c**2 - 19411 - 10*c**2 + 6*c + 19408 to the form o*c**4 + z*c**3 + f + y*c**2 + g*c and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80.86 + 84.86. Which is the nearest to 74.5? (a) 1\/3 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -7. Let l be 3\/((-27)\/(-12))*-3. Let i = l - g. Are -2\/3 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -685*z + 72*z + 55*z + (0*z - 4*z + 7*z)*(2 - 4 + 4) - z - 2*z + 4*z to the form a + y*z and give y.\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 2, -1, -4, -7?\n\"Answer: -3*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**(-4\/3)*x*x)\/x)\/x)\/(x*x*x*(x\/x**3)\/x))**(4\/19))**(-21) assuming x is positive.\nAnswer: x**(112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4309)\/(-310) - 2\/(-40)*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 38610*u**2. Let d(q) = -3*q**2. Determine w(d(n)).\nAnswer: 347490*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, a: 3, l: 3, o: 9}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*h**2 - 1 + (9*h + 2 + 2*h - 2*h)*(2*h - 6*h + 2*h).\nAnswer: -22*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3081\/70 + -93\/2. Let q = -1004\/133 + 100\/19. Let r = k - q. What is the closest to -1\/3 in 0.3, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 4*x, 0*x - 6 = -3*x. Let d be 1\/((-1)\/(-4))*1. Factor -2*u**3 + 0*u**2 - 2*u**m + u**4 + 2*u**5 + u**d.\nAnswer: 2*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 18 (b) 4\/13 (c) 1 (d) 0.4 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 8*j**2 - 13*j. List the prime factors of d(-8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-84\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/(-55) - 112\/(-40)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -8. Let n = -8 - h. Sort 1\/9, -2\/3, n, 2\/13 in increasing order.\nAnswer: n, -2\/3, 1\/9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -378 + 366.995. Let s = -11 - g. Round s to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -115 (c) -1.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.06368 and -1.\nAnswer: 2.06368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77934771 and 13698.\nAnswer: 6849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0657 + -0.1657. What is the closest to 0 in d, -2\/15, -36?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4984 (b) 1.7 (c) 64\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -57 - 43. Suppose -8*u = -9*u + r. What is the second biggest value in 0, -1\/6, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 655*d + 657*d + 12 = 0, 2*d = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n - 31*n + 113680 = 5*n. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28826 to the nearest one hundred.\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.2648 + 11.3. Round k to 3 decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in 0.2, 0.5, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 25 - 13 = 4*q, -5*q + 5*u = -15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2536, -4971, -7424, -9895, -12384?\n\"Answer: -9*g**2 - 2408*g - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24350307 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -369, 27, 23, 5 in descending order.\nAnswer: 27, 23, 5, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 17001 = 16959. Let h(n) = -n**3 + 24*n**2 - 64*n + 15. Calculate h(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/3 - 8*h**2 + 6*h. Let m be w(10). Solve m*s = 5*g - s + 5, 0 = -s - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3)*1) + 2 + sqrt(448) + sqrt(448).\nAnswer: 2 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -57372*r + 458978. Determine x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 3*m - 6*m - 3. Let n be t(-4). Suppose -5*d = -n - 46. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:20 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 117 + 156 = -4*b, -5*b - 15 = -5*j for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12196, -24346, -36496, -48646?\n\"Answer: -12150*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 2 - (39 + -47)) + -15\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62719.\nAnswer: 19, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49689 by -5.\nAnswer: -49689\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwydrdywiarr. Give prob of picking 1 r and 1 y.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 14202?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1579743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 1\/10, -1, 0.3 in decreasing order.\nAnswer: 0.3, 1\/10, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 6. Let p be a(11). Suppose -5*x + 4*z + 4655 = 0, p*x + 2*z + z = 4655. Let r = 534 + x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvveevviie. What is prob of sequence ivie?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 408, 2, 91?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 5)\/(-1 + 2)*6. Solve n = -5*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40.2 + -44.2. Which is the closest to -1\/7? (a) -1\/2 (b) 1\/30 (c) g (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 + 2*z - 3. Let a be s(2). Let v = 301 + -291. Suppose -52*n = -57*n + v. Solve a*y - n*y = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(2\/(-11) - (-2724)\/(-264))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a4 (base 13) in base 11?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/75*-5 + (-3)\/(-9). Which is smaller: i or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1309 and 2246125?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -365 - -355. Let j(v) = v**3 + 11*v**2 + 11*v + 14. Let w be j(q). Solve 0 = 5*o + w*u - 2, o - 5*u - 14 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*z = 5*o - 9, 4*z - 2*o = 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11144)\/(-3) + (-1)\/(-3). Suppose -w + 9 - 4 = 5*q, -q - 4*w = 18. Suppose -3*m + h = q*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -64. Let o = 1.082798 - 0.082798. Is o less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41292 is divided by 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((27\/(-12))\/9) - -1. Suppose 11*y + l = 12*y - 90, 0 = n*y + l - 456. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:48 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-184)\/230)\/((-28)\/10))\/(2\/21). Sort 2\/73, 4, 5, z, -2 in decreasing order.\nAnswer: 5, 4, z, 2\/73, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1729046\/101619 + 10\/11291. Let r = 416173\/315 + i. Let y = -1350 + r. Find the common denominator of 43\/2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420864 and 4348928?\nAnswer: 13046784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 12:52 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 649*s**2 + 653*s**2 + 3 - 1413*s**2 + 1 + 10*s as x*s**2 + t + i*s and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 20*o**3 + 2*o**2 - 2*o + 2. Let p = 28 + -26. Let w be r(p). Suppose -2*d = 2*s - 0*s - w, -2*s = 3*d - 253. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 28*d**2 + 58*d - 145. What is the remainder when 899 is divided by n(26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 6*y**2 - 568*y + 1717. What is s(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = r + 12, 3*u + 34 = -4*r. Let t be -3 - 2 - (-14)\/2. Let n(s) = -s - 4*s + 6*s**2 - 7*s**t + 4. Calculate n(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209239 is divided by 7215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 3:54 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1 - -20. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28.9895 - -29. Round v to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/60 - p**5\/20 + p**4\/12 - 5*p**3\/6 + 7*p**2. Let f be u(-3). Let n = 37 - f. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 8 + 53 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-121 - -11)\/10 + 3721 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -112500 - 1?\nAnswer: -112501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/2 + 1*10\/55?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1199341036 and 40?\nAnswer: 11993410360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(66) - sqrt(66)*3) - sqrt(66))\/(-2*sqrt(6)*-6).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4999999 - (6\/8 + 4\/16). What is l rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 12*f - 12. Let d be h(-14). Suppose 2*y - 5*z = -31, -4*y - 19 - d = -z. Which is the biggest value? (a) -3 (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 24. Suppose 7*k = -j*k + 6615. What are the prime factors of k?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*j + 4*m + 6949, -5*j - 6931 = -3*m. Is j at most -1393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.841 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -2*a + 85, -3*s = 2*a - 206570. List the prime factors of s.\nAnswer: 2, 3, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 7*x + 9. Let u = 608 - 603. Give f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 511*v + 6014. Calculate z(-12).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = -r, -2*u - 3*r + 0 = 15. Let g(y) = -y**2 + 8*y - 9. Let s be g(7). Let l be -1 - s - (-2 - -1). Solve -l*q + q = u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876883813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -97. Let i(r) = 3*r**2 + 9*r - 5. Is i(n) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 488*n**4 + n - 268*n**4 - n**2 + n**2 to m*n**2 + a*n**3 + j + b*n + k*n**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.993 - 0.007. Suppose 2*q - 140 - 150 = 0. Let b be (-2)\/4 + q\/50 - 2. Are b and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -448 - -447.467. Let p = j - -0.033. What is the closest to 0 in p, -1, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 12, 2*o - 3*b = -35 + 137. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + 15 = 0. Suppose 4*p = -8, -i*a - 6 + 34 = -2*p. Suppose 2*x - 4 = g - 6, 3*x + 4*g = a. Is x >= 1\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330220.301 times 0.2?\nAnswer: 66044.0602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17485608?\nAnswer: 2, 3, 7, 29, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-69)\/(-18) + -3 - 1\/(-6). Sort -6, 0, x in decreasing order.\nAnswer: x, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4213*i**2*q - 43*i**2 - i - 96*q - 125066 wrt q?\nAnswer: -4213*i**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 4*n - 95 - 70 = -155, -n + 14 = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/6 + 5*z**2\/2 - 4*z. Find the first derivative of r(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b + 2509?\nAnswer: 235a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 27294470 + 27295772 = 0 for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10) + 138 + -125?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -66. Find the second derivative of -32 - 6*o + 2*o**f + 0*o + 3*o - 5*o**4 + 5*o wrt o.\nAnswer: 40*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 141. Let z(v) = v - 5. Let i = -7 - -12. Let b be z(i). Solve d*u + u + 2 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 620587.868+3.674\nAnswer: 620591.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or -90?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l - 5. Let w be 9 + 2*(2 - 3). Determine u(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*o**2 + 46*o**2 - 35*o**2)*(31*o - 16*o - 6*o)*(0 + 1 + 0).\nAnswer: -378*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 608990.9 micrograms in kilograms?\nAnswer: 0.0006089909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 37 - (-22 + 26).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180702, 180828, 180950, 181068?\nAnswer: 181182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87908 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2502048 and 2016.\nAnswer: 52543008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 632710000 to the nearest one million.\nAnswer: 633000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -16 + 14 - x**2 + 2*x + 7. Calculate f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002799767152 to 6 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6980 divided by 4.\nAnswer: -1745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.10707 - 0.111421. What is u rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/10)\/9*-15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43443284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.024? (a) 0.2 (b) -1\/6 (c) -2.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/45)\/((-242)\/3). Let k = t + 5326\/363. Solve 8\/9 - 14*r**4 + k*r**3 + 202\/9*r**2 + 8*r = 0.\nAnswer: -1\/3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + 1. Let u = -768.128 - -0.128. Let y = u - -765. What is the fourth smallest value in -2\/9, y, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i. Let w(k) = k**2 - 8*k + 2. Let v(r) = -3*t(r) - w(r). Suppose -13 = -4*a - 0*p - 5*p, 5*a - 2*p - 8 = 0. What is v(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 - 5*s + 2. Let i be v(-6). What are the prime factors of (352 - 0) + i\/37?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.044, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 542 - 0?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4800, -9613, -14438, -19275, -24124?\nAnswer: -28985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/10? (a) -0.047 (b) 0.33 (c) -6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -79, -152, -243, -346, -455, -564, -667?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1539) - -1*sqrt(1539))*5 + 2 + -3 + 0)*1)**2.\nAnswer: -2880*sqrt(19) + 2462416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -85. Let s = 25.99991 + b. Round s to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/11 (c) -1682\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 37909*r - 3207814. Calculate t(85).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2769131 plus -3?\nAnswer: 2769128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * -252.\nAnswer: -47.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/(1\/(-747)). Let r = g - 227. Solve -r = 5*u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8432652 is divided by 168653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 89 - 91. Suppose 41*b = u*b - 1268. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/499 and -54\/2495?\nAnswer: 2495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 + -0.206. Let q = i + 0.02. Sort -4, q, 5.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177743?\nAnswer: 177743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 12 - (-94 - -85)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Suppose 6*q - 2*q = -5*s + 161, a*q + 5 = 0. What is the remainder when s is divided by 320\/18 + 170\/1020 + 1\/18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3837, -15656, -35323, -62814, -98105, -141172?\n\"Answer: 4*k**3 - 3948*k**2 - 3*k + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22012002 (base 5) to base 8.\nAnswer: 557731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -1, 0.02, -3\/8, 208, 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 25. Let u(i) be the third derivative of -i**5\/60 + 7*i**4\/24 + i**3\/6 - 7*i**2. Let z be u(5). What is the remainder when 53 is divided by l(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 4. Let j(k) = -k - 3. Let c(o) = -3*h(o) - 4*j(o). Let g(d) be the second derivative of -21*d**4\/4 + d**3\/2 - 31924*d. Calculate c(g(u)).\nAnswer: 126*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-27)*11\/132*9*52.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:41 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11344\/9 or 1261?\nAnswer: 1261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/486533? (a) 0.5 (b) 2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -164531, -329049, -493535, -657971, -822339, -986621, -1150799, -1314855?\n\"Answer: 3*h**3 - 2*h**2 - 164533*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*r + 59943 = -1207*r - 688*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v + 2*v - v. Let x(d) = -6*d**2. Give x(j(l)).\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1 (c) 2\/15 (d) -4\/15 (e) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -16\/7577763 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -909 = -5*n + 3*l, n = 3*n - 5*l - 375. Is 30 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - v**2 - 11*v - 80. Determine m(0).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*g = -16692, -4184 = -d + 2*g - 4*g. Suppose -18*i + 9*i + d = 0. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j = 3*o + 43, 10 = -5*o - 4*j. Let k = o + 8. Suppose -k*b - 64 = -6*b. Solve u + 3*u + 4 = -4*v, -b = -4*v + u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1150)\/23*12\/(-60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/(-2*(-3)\/(-72)). Let q be (0\/(-2))\/(f + -6). What are the prime factors of (2 + q)*(0 + (-114)\/(-4))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -136 + 4?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*i - 180. Suppose -30*k + i = -28*k. Calculate the remainder when 222 is divided by k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5897488*g = -5897915*g + 33733 for g.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 2*z + 2*z**2 + z + 5 - 10 + z**3. Let w = 10 + -15. Let j be b(w). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 0. Let c(l) = -6*l**2 + t + 0. Let u(b) = 22 - 19 + 11 + 4*b - 14. Calculate u(c(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 - 4*j**2 - 7*j - 16. Give n(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1813 + 8?\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 609.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 172\/(-2365)*-671 + -38. Factor 2\/5*s**3 - 108\/5 + 0*s**2 - b*s.\nAnswer: 2*(s - 6)*(s + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5750771*h*s**5 - 3558933*h*s wrt s?\nAnswer: -115015420*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 18. Calculate the smallest common multiple of f and (-3)\/((-3)\/(-6)*-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 + 314*k**4 - 1530*k**3 + 1510*k**2 + 1532*k - 1824 = 0.\nAnswer: -1, 1, 2, 3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838 = 275*j + 2737 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325688828 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:32 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-260)*24\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/(-680)*-17*((-10)\/(-4))\/1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10546.\nAnswer: 2, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 22 = 4*x, 5*x - 30 = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 7*n - 2. Let f(l) = 23*l - 9. Let q be f(3). Let h = 53 - q. Calculate p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -13060, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = -5*y. Suppose -4*v - 4 = 0, 267 = y*h - 3*v + 78. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m - 2*m)*(2 + 2 - 5) + (0 - 2 + 1)*(3 + 2*m - 3) - 70 - 18*m + 11*m + 75 - m - 2*m + 5*m to f*m + k and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 19*k**3 - 10*k**2 - k + 59. Does 14 divide l(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172225816 divided by 1388?\nAnswer: 124082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n - 6. Let p be l(-4). Suppose -p*w = -13 - 149. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1497801 or -1497802?\nAnswer: -1497802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 18*a + 659. What is v(-38)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-126 + 126 + 28*o)*(-1 + 0 - 1 + 1 - 2 + 2 + (1 + 1 - 1)*(-2 - 1 + 5) - 6 + 4 + 1 - 4 + 2 + 3) - 2*o + 2*o + 5*o)*(0 + 0 + 1) as c + b*o and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + l + 0*l + l + 0*l + l + (1 - 4 + 4)*(1 - 1 + 2*l) - 15*l + l - 23*l + l - 2 + 2 + (-5*l + 2*l + 2*l)*(-4 + 1 + 1).\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5431218 divided by 179.\nAnswer: -30342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + -1 + (9 - -3) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1323 - -3?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u - 9*u**3 - 43*u + 17*u + 10*u.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4256\/42560 + 115\/(-50) + 3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1812 + -1817.973. Let x = 3 + -9. Let s = y - x. What is s rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 47\/(-282) + (-62)\/(-12). Suppose c - 104 = 3*y, 4*c - 9*c + 540 = -j*y. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -5)\/(9 + 0). Suppose 2*r + 2*r - 4*b + 8 = 0, -3*b = 4*r + 1. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9273 - -9273.0000004905. Round h to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 741169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(-2 + sqrt(200) + -5)*4*6)**2.\nAnswer: -8064000*sqrt(2) + 14342400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211707.6 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -59 (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/3475 and 44\/29575.\nAnswer: 4110925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -193635?\nAnswer: 1\/193635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -3*h + 7*h. Let l = 93 - h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -372678109336853 and 1.\nAnswer: -372678109336852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28120, 223551, 754010, 1787011, 3490068, 6030695?\n\"Answer: 27919*g**3 - 2*g + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 + -192.6. Let j = 2.64 - 0.87. Let o = j - -0.23. Sort 0, b, 3\/4, o in increasing order.\nAnswer: 0, b, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-30))\/((-4)\/(-10)). Let c be (5514\/(-15))\/((-9)\/(-5)). Let j = -204 - c. Do o and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:42 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1023)\/(-7) + -3 - 4\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 16. Calculate the lowest common multiple of h and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -71*g - 155. Let l be s(-8). Let i = l - 230. What are the prime factors of i?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-83 - 115 - 133 - 39)*(-2*m**3 + 2*m**3 - m**3) in the form c + b*m**3 + n*m + h*m**2 and give b.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*z - 22, 2*f + 16 = -3*z - 3. Let y = -11 - -8. What is the nearest to -1 in y, f, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 2*g + 6*g. Calculate the common denominator of 73\/36 and (24\/g)\/(-4) - 266\/(-84).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4585?\nAnswer: 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/4 + 3*l**2\/2 + 15*l + 18.\nAnswer: -3*(l - 6)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + (2 + (1 + sqrt(1053) - sqrt(1053) - sqrt(1053))**2*6 - (-2*(1 + sqrt(1053))*2)**2))*-3.\nAnswer: 1188*sqrt(13) + 31603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38947 + -1557769\/40. What is the common denominator of 35\/136 and x?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238003 is divided by 33993?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 - 3*a**2 + a + 757. Let c = -17 + 8. Let w be (-1 - 2)*12\/c. What is s(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-170))\/((-914)\/(-372912)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13*i*i**(2\/37)*i)\/((i**1\/i)\/(i\/i**(2\/7)*i)) assuming i is positive.\nAnswer: i**(4343\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-5 - 2 - (-1 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7183, -4, -2 in decreasing order.\nAnswer: 0, -2, -4, -7183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -158, -4\/9, -0.3, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*a - 15 = 0, 2*q = 3*a + 41 - 32. Suppose 0 - 16\/13*b**2 - 2\/13*b**4 - 12\/13*b**3 + q*b = 0. What is b?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125*p - 126*p - 2 + 97*p)*(8 - 3 + 0) as v*p + r and give v.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4 - 1176720*j**3 + 86541872400*j**2 = 0. Calculate j.\nAnswer: 0, 147090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*i - 4*i - 7 = 0, 2*i - 8 = -5*z. Let o be (-8)\/z*(-6)\/8. Let x = 1.3 + -0.3. What is the third biggest value in o, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - i = 3 - 6, -4*i - 12 = -2*u. Let z = u + -1. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.048 and -63006321.\nAnswer: -63006320.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50985097 is divided by 321.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49.4? (a) 0.2 (b) -0.3 (c) -1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*s**4 + 10*s**3 - 1532*s?\nAnswer: -252*s**2 + 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 17286 = 18006. What are the prime factors of j?\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3, -m + h + 4 = -2*h. Let n be m\/(-6)*(-12)\/(-16). Let v(t) = t**2 - 5*t - 2. Let g be v(5). What is the second smallest value in g, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 + -4156?\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21.02454 minutes?\nAnswer: 1261472400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = -5*p + 19, -17 = -4*p + y. What is the remainder when (p + 35\/(-14))\/((-6)\/(-40)) is divided by 17\/4 + (-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**2 + 6*c + 6. Suppose 2*b + 22*j + 9 = 21*j, 3*b - j + 21 = 0. Let x(l) = -33*l**2 - 11*l - 11. Give b*x(f) - 11*n(f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(1 + 0\/(-1)). Let u(y) = -y**2 - 6. Let k be u(f). Let l = k + 10. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p - 2. Let c be n(-5). What is the greatest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2320 + -4633\/2. What is the third smallest value in 3, 3\/2, 6\/5, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let g(j) be the second derivative of -2*j**4\/3 + 2*j**2 + 2*j. Let s(u) = -7*u**2 + 3. Let o(l) = 3*g(l) - 4*s(l). Determine x(o(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**4 + n**3 + n**2 - 2*n + 1. Let x(r) = 2*r**4 + r**3 - 2*r + 1. Let z(h) = -2*w(h) + 2*x(h). Factor z(s).\nAnswer: 2*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 7451620\nAnswer: -1\/1862905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 minus 200742?\nAnswer: -200741.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/29 (b) 11\/3470 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (1 - -8 - -5) - 27.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-8 + 1 - (45 - 54) - 26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 + 3099*c**3 - 13*c**2 + 2*c - 14.\nAnswer: 120*c**2 + 18594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**2*k**2 - 65619*a**2 - 61*a*k**2 + 4*k wrt k?\nAnswer: 6*a**2*k - 122*a*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-16 - ((-11 - -4) + -10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of (-1106)\/(-4) - 90\/180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160700000 rounded to the nearest 1000000?\nAnswer: 161000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397021490 is divided by 369.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*v**2*w**2 + 18*v**2*w wrt w.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.58 + -0.08. Let i be ((-9)\/(-2) + -4)\/(2\/52). Let z be (-11 + i)\/((-2)\/6). Put 2\/11, s, z, 3 in ascending order.\nAnswer: z, 2\/11, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06296 rounded to 3 decimal places?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3170*h**3 + 4274*h**3 - 155*h**3 + 434*h**3 - 8984*h**2 wrt h?\nAnswer: 46338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -57*q**6\/20 + q**5\/20 - q**4\/12 - q**3\/2 + 34*q**2. What is the tens digit of j(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 2*y**2 + 133*y - 683. Let b be w(5). Solve 52*a - b*a = -4*c + 5, 2*a + 3*c = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 4. Let g be (-200)\/15 - (-4)\/(-6). Let a = -16 - g. Let c(v) = -7*v - 8. Let o(k) = a*c(k) + 5*p(k). Determine o(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7)*6)\/(30\/(-1785)*-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbbbbvbnbbbbvb. What is prob of picking 2 b?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 11*n = -2*j - 214, 2*j + 4*n + 218 = 0. Let y = 117 + j. Solve y*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 18*x. Let l(j) = -91*j + 1. What is 4*l(w) + 22*z(w)?\nAnswer: 32*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f = 3*t - 56*f + 12, -2*f = -t - 8. Solve 8*g = -t*g - 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:15 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a95 - 2?\nAnswer: 2a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -15. Suppose 0 = u*x + g - 15, -4*x = 4*g - 26 - 2. Suppose -4*f = -x*s + 3*s + 34, -5*s + 138 = -4*f. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 20*g**2. Let z(s) = 4743 + 9*s - 4743. Give z(v(n)).\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrqr when four letters picked without replacement from gooroooqogrogqo.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + -103 - (-15 + 3 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 + 429 = 4*c. What is the smallest value in c, 2\/11, 31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 53. What is the hundreds digit of 314\/(-6)*(w - 28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 3709434. Let l(y) = 2*y. What is l(g(f))?\nAnswer: 2*f - 7418868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 14 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zggrzrzrzrzz. What is prob of sequence rgzz?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -444\/119 (b) 1 (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3761070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - (7 + -2)) + -13 + (8 + 0 - 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66697, 4, 0, 1 in increasing order.\nAnswer: -66697, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*i**2*m + 57*c*i*m + 27*c*i + 132*i**2*m + 1073*i**2 + m wrt m.\nAnswer: c*i**2 + 57*c*i + 132*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.133 + -0.193. Let a = -435 - -435.5. What is the smallest value in x, 1\/3, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23827 - 23824. Solve b*j - 38 + 12 = -4*v, -22 = -4*v - j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*l - l - 1084, 0 = -4*d + 3*l + 1417. List the prime factors of d.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 57*q - 5939. Calculate t(53).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-o**2 - 2*o**2 + 2*o**2 + (4*o - 4*o + 2*o)*(-2 + 2 + 2*o) + o**2 + 4*o**2 - 3*o**2)*(-13 + 9 - 5) as u + n*o + h*o**2 and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l - 2. Suppose -10 - 2 = -2*r - 4*b, 0 = -b + 2. Let g be k(r). Let d = 88 + -78. Calculate the greatest common factor of g and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + 2141?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 19. Let x = -0.7 + 0.2. Let v = -2\/23 + 56\/115. Which is the third smallest value? (a) v (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g - 1. Let r be n(-1). Let f(c) = -c**3 + 5*c**2 + 12*c + 1. Let j be f(6). Suppose 11 = 3*t + r*l - 37, -2*t - l = -j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21714\/(-1276) + 17)\/(8\/(64\/8))?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 2*r**2 - 7*r - 9. Let k be t(-3). Let i be (22\/(-10))\/1 + 2. What is the third biggest value in k, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -26)\/((-85)\/80 + 1).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**3 + f**2 - 1. Let w(y) = -y + 3*y + 0 + 2 - 5. Let t be w(2). Calculate r(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -921.57 - -926. Let u = 0.57 + d. Let f = -12 + 11.5. What is the third biggest value in -20, u, f?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from xoogopgor?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = 0. Suppose -l = -2*k - 15, 0 = -d*k + 4*k - 4. Suppose -4*x - 1 = -l. What is the greatest common factor of x and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1117, -1700, -2677, -4048, -5813?\nAnswer: -7972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1084 times 28\nAnswer: -30352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46057 and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 3*i**2 - 5*i - 6. Let b be d(14). Let b*o - 549*o**2 - 3*o**3 + 9181*o - 23520*o - 680943 - 9425*o - 18469*o = 0. What is o?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7841.326 minutes in nanoseconds?\nAnswer: 470479560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094078 is divided by 428.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82507\/24 - 3435. What is the common denominator of s and -157\/90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*j**2 - 6*j**2 + 5*j**2 + 264*j + j**3 + 11*j**6 - 261*j wrt j?\nAnswer: 1320*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792066094 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + n - 1359. Let h be i(0). Let a be ((-13)\/14 + 1)*-19118. Let z = a - h. Find the common denominator of 13\/8 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2264443 millilitres in litres?\nAnswer: 0.0002264443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 95699317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 384, 406, 450, 522, 628?\n\"Answer: g**3 + 5*g**2 + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 0*n**2 + 0*n**2)*(1 + 3 - 5) + 1 + 2*n**2 + 0 - 4 + n**2 - n**2 + 2*n**2.\nAnswer: 3*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -4 + -150)*1. Let y = -54 - d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let f(c) be the second derivative of -c**4\/12 - c**3\/6 - c**2 + 10*c. Let z be f(-2). Determine u(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.61609634 + 2.616. Round c to 6 decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1649896 to the nearest 10000.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221022 + -1200?\nAnswer: 1212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 222429 (base 12) in base 5?\nAnswer: 114340301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27625 (base 15) to base 10\nAnswer: -126260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u. Suppose -5 = 4*p - 25, 5*w - 4*p = 0. Let k(z) = 2*z**2 - z**2 - 4*z**2 + w*z**2. Give k(v(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 2*z + 85. Let l(u) = u**2 - 4*u - 16. Let q be l(z). Calculate the highest common divisor of q and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 86*d - 30 - 63 = -78*d, -2*d - 22 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2374*o - 2672*o + 7089*o - 2373*o)*(5*o - 3*o + 0*o) as f*o + b*o**2 + k and give b.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1239640 divided by 3646.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -869.\nAnswer: -173.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.672015153 to 4 decimal places.\nAnswer: 0.672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/503 - -1015\/4527. Factor -4\/9*u**2 + 2\/9*u + 0 + l*u**3.\nAnswer: 2*u*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n - 56*n - 59*n + 75*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45207523 to the nearest integer?\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m + 10. Is 9 a factor of 41\/2 + 6\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x + x + (2*x - 1 + 1)*(-4 - 3 + 5) + (2*x + 3*x - 3*x)*(62 - 25 - 18).\nAnswer: 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.38 + 6.3. Is q at least 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.735 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 309 - 86. Suppose -4*z + 165 = -q. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 86 = 88 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2743*v**3*x**2 + 6*v**2*x**2 - 8*v**2*x wrt v?\nAnswer: -16458*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/4 + 1793*l**4\/2 - 7159*l**3 + 10734*l**2 = 0. Calculate l.\nAnswer: 0, 2, 6, 3578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 - -88. Suppose v + k = 3. Suppose -3*r - 4*a - 70 = -4*r, -2*r = v*a - 162. Is r a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -286*v + 46. Let d be a(8). Let r be 3 - 50384*8\/(-180). Let j = d + r. What is the common denominator of 20\/9 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 49*l**3 - 1. Give f(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 230516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -v - 2, 20 = 5*v - m - 50. Solve v = 5*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 72 = 0. Let x = k + -3. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 59 = 29. Let l = -11 - -36. Let s = l + -23. Which is the fourth smallest value? (a) s (b) -3 (c) -2\/7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 + o - 1. Let t(s) = 3*s**3 + 9*s**2 - s + 3. Let x(a) = -2*i(a) - t(a). Suppose 8 = -k + 1. Is 6 a factor of x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2. Let o(s) = 25*s + 25. Let i(v) = -9*v - 9. Let l(d) = -11*i(d) - 4*o(d). Calculate l(j(b)).\nAnswer: -4*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a - a)*(0*a + 0*a + 2*a)*(1 + 2*a - 1).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(102)\/sqrt(6) - ((1*sqrt(17) - sqrt(17))**2 + -2 + sqrt(17)).\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 52 = h + 4*h - 4*h, -24 = 32*h - 4*g - 124 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w + z + 197, -w + z - 187 = 0. Let p = -108 - w. Suppose 0 = p*y - 81*y - 243. Calculate the remainder when y is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 + 197 + 62 - 3*n**2 + 58 - 7 to the form g + t*n**2 + y*n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2. Let p(z) be the third derivative of -49*z**4\/24 - 289*z**2. Determine m(p(i)).\nAnswer: -9604*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199\/4 - 49. Suppose -2*a - c = 0, 0*c - 3*c - 9 = -3*a. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.026887 grams to kilograms.\nAnswer: 0.008026887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3266016952.\nAnswer: 2, 11, 37113829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 6. Let y be g(9). Let p = -1617.5 - -1617. Which is the closest to -1\/3? (a) 5 (b) y (c) -0.1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2463)\/(-1638) - 24\/(-6). Let v be 7\/7 - (-274)\/(-273). Let h = m + v. Which is greater: h or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/13552 and -81\/4235.\nAnswer: 67760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10911 is divided by 572?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2008\/11 - 14034\/77. Factor -t*a**3 - 12\/7*a - 10\/7*a**2 + 0.\nAnswer: -2*a*(a + 2)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -58, -85, -122, -169, -226, -293?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589 = 7*b + 561. Solve 3*p + b*r + 3 = 0, -p - 3*r - 6 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/17, 2.5, 269, 2, 1\/3, 7 in descending order.\nAnswer: 269, 7, 2.5, 2, 1\/3, -8\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.84 - -22. Let h = 0.16000034 - f. What is h rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 5*t**7\/399 - 51*t**6\/95 + 1433*t**5\/190 - 1209*t**4\/38 - 1690*t**3\/57 + 5*t + 32. Let w(b) = 0. What is b?\nAnswer: -2\/5, 0, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.26337ng in micrograms?\nAnswer: 0.04126337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 4*w + 6. Let d be (-14)\/4 + (-2)\/4. Determine q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2356*b*g**3 + b*g**2 + b - 291*g**4 - 6*g**3 - 3*g**2 - 421526 wrt g?\nAnswer: -14136*b - 6984*g - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55110621*x + 55110622*x = 39 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 7*c + 4*c**3 - 10*c + 2*c + 1 in the form d*c**2 + o + r*c**3 + k*c and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12600140\/210 + 2\/(-3). Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 19 = -3. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeecmezefffcczez. Give prob of sequence ec.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 95 = -i, -m + 3*m - 192 = 3*i. Calculate the highest common factor of m and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q - 23*q - 68, t = -3*t + 5*q + 9 + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 4*h + 7*a + 213239999, 3*h = -5*a - 159929995. What is h rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 2. Let o = -7 - -14. Let j(l) be the third derivative of -5\/6*l**3 + 1\/12*l**4 + 204*l**2 + 0 + 0*l. Give o*s(y) + 3*j(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 147 - 891*j + 147 + 175 - 469 in the form f*j + l and give f.\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50499 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: Find the second derivative of -417*i + 448*i + 13*i**3 + 18*i**3 wrt i.\nAnswer: 186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2 - -1) + 7 + -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 7*n**2 + 5*n - 4. Give q(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c5694 (base 13) to base 2.\nAnswer: -1010110101000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e2a + 22c0?\nAnswer: 31ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -105\/4, 1\/6?\nAnswer: -105\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*b + 187 - 11 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0928*0.38.\nAnswer: 0.415264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 56*-105\nAnswer: -5880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 50, 67, 84, 101, 118?\n\"Answer: 17*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -430*z - 2111. Let n be (0 - -2)*(-6)\/(-4). Suppose i - 48 = -4*c - 3*i, -n*c - 2*i = -34. Calculate the remainder when o(-5) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (7 - (-4)\/(-4)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 5, 2 in increasing order.\nAnswer: 2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1559, 6521, 14807, 26417?\nAnswer: 41351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 378\/35*(57 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3081\/286 - 6) + ((-595)\/(-476))\/(10\/(-12))\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1107 = -2*a. Let c be a\/(-33) - (-4)\/(-22). Let y = c + -10. What is the greatest common divisor of y and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5505044.4 rounded to the nearest one thousand?\nAnswer: -5505000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6770*n = 6766*n - 2*p - 16, -n = 3*p - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 11b?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475 is divided by 2454.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34 + 13.66. Let t = -14.2 + g. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*7*6\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 69*n - 72*n - 3 + 7*n**3 - 4*n**3. Let p(g) = -4*g**3 + 3*g**2 + 4*g + 3. What is 2*p(z) + 3*w(z)?\nAnswer: z**3 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*c + 42. Find the second derivative of 10756*g**4 - 37*g**c - 10756*g**4 - 21*g wrt g.\nAnswer: -740*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*y + 1 - 56, i - 4*y = 35. Suppose -4*s - s + 55 = 4*q, q - s = 16. Let t = q - i. Put -1, t, 5 in ascending order.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219382 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 17 - 16 + 6*r**2 - 4*r**2 - 2*r**3 + r. What is the units digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*a + 44 - 2, -4*k - a = 31. Let n be (4 + 3 + -4)*(-219)\/k. Suppose 4*m - 3*m = n. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {c: 7, j: 4, z: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 1. Let y(b) = 452*b**2 + 33*b + 11. What is -22*g(a) + 2*y(a)?\nAnswer: 904*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Let p = 0.2 + -0.15. Let m = 1.95 + p. What is the nearest to 0 in -1\/5, m, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose 0 = s - 3 - 1. Solve 4*x + s = -3*f + f, -9 = z*x + 3*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -17\/3 (b) -0.09 (c) -0.2 (d) 3 (e) -1 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q - 27. Let r be m(3). Solve y + 4*y - r = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034336 a multiple of 1814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 509611 + -265188. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1071542?\nAnswer: 2, 535771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -5, 0, 3.\nAnswer: -15, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*f + 60 + 7805 = -8486 + 3526 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 23. Calculate m(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -715728, -3, -1, 2 in decreasing order.\nAnswer: 2, -1, -3, -5, -715728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*o**2 + 7*o**3 - 5*o**3 + 42*o**2 - 169*o - 152*o to the form q*o + b + k*o**2 + u*o**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(20\/7)\/j)\/(j**11*j) assuming j is positive.\nAnswer: j**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 546183 and 391094.\nAnswer: 31678614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132203 and 1241.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 288110*z + 4150368605.\nAnswer: 5*(z + 28811)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.8 - 9.2. Which is the third biggest value? (a) -5 (b) f (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -2*t**7\/1575 + 7*t**6\/900 - t**5\/50 + t**4\/36 - t**3\/45 - 22*t**2. Find l such that o(l) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/322*-21*10\/(-12)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18.1+-1.5\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2393128 is divided by 242.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7165454270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -21.26.\nAnswer: -10.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309385.\nAnswer: 5, 43, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 38835.\nAnswer: 38835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 20, 2*b - 11 = v + 5*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u - 52*u + 27*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 3*v + 4*v + (3 - 2 + 1)*(-v - v + 0*v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 - 186*t + 566. Give z(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(2414\/(-1704)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3112, 4792, 6472, 8152, 9832, 11512?\n\"Answer: 1680*y + 1432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741649 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from {n: 2, b: 5, x: 5, e: 1, t: 1, m: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2) - 0)\/((-450)\/(-540))*-5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 56.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 898673.9 decades?\nAnswer: 8986.739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 1. List the prime factors of 10\/(-4)*(-18)\/p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405768 and 17504168.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.8 + 0.8. Let v = o + 33. Which is the closest to v? (a) 3 (b) 1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 3. Let z be g(5). Let n = 0 - 7. Let x = n - z. Solve 0*s - 3*s + 9 = x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6849389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 - 13*f**2 + 6*f - 4. Let a be u(-7). Suppose 0 = -2*y - a*y + 75. Calculate the greatest common divisor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 457, 429, 401, 373, 345?\n\"Answer: -28*s + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5752190*j**5 - 7550163*j**2 wrt j?\nAnswer: -345131400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -17572135?\nAnswer: -17572131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26327 - 7734. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 11*v**2 - 10*v. Let n be k(-10). Suppose 27 = 3*m - n*m. Solve b - m = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161915 and 13630?\nAnswer: 9391070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 6. Let b(s) = -2*s - 11. Let c be b(-12). What is the units digit of a(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25319627527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 7*o**2 + 6*o + 3. Let l be j(-6). Let i be (20\/l)\/((-6)\/(-9)). Let z be 1 - -5 - i\/5. Is z less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 3136*j + 2458624 = 0 for j.\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:05 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 5. What is c(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 15*v - 28. Let g be h(-12). Let j(i) = 2*i**3 - 18*i**2 + 17*i - 1. What are the prime factors of j(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6530304 and 57975.\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*a + 102*a + 2*b + 2 = 0, -5*b = -8*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 - 21*o**2 + 11. Let a(w) = w**3 + w**2. Let b(q) = -3*a(q) - r(q). Let i be b(18). Let g = i - -59. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(102) - sqrt(102)*4*5)\/(sqrt(6)*-3*5 - 1*sqrt(36)\/sqrt(6)).\nAnswer: 11*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 134.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -6742?\nAnswer: 6713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 3*k. Suppose 2*a + k*a = 18. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.6751 rounded to zero decimal places?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:51 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 452 + -1?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 407616319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 2*t + 19, -t - 2 = -2*w + 3*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -4. Let h be (-266)\/11 - (2 + b\/(-11)). Let u = h - -33. Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -896?\nAnswer: 89.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pedfdpfpedgggfepdpp. What is prob of picking 3 g and 1 p?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23734419 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - 8*h**2 + 2*h + 10. Calculate the smallest common multiple of 70 and t(-5).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-21*(-1)\/6). Let f(d) = d - 4. Let p be f(6). Let y be 46\/(-112) - p\/(-7). Which is the closest to 1\/3? (a) y (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 8 - 3. Are 70 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + i**3 + i - 6 - i - 5*i**2. Let p(q) = -q**3 + 5*q**2 + q + 5. Let d(n) = -4*o(n) - 5*p(n). Suppose -j = y, 12*j - 17*j - 25 = 0. Calculate d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114746 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*j + 5*j = 8, 3*l - 4 = -j. Calculate the highest common divisor of 8 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1201130034?\nAnswer: 1201130032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/2 of a week?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 11:21 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**5\/20 - h**4\/16 + h**3\/6 - 10. Find s such that b(s) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 + 540378*x + 11347056 = 0.\nAnswer: -270168, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (247\/(-266))\/(93\/(-2604))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = 0, -4*p + 5*r + 10 = p. Suppose 0*w = p*w + 27. Let o = 7 + w. Which is the nearest to -0.1? (a) -4\/5 (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a hour in minutes?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1828954*g**2 - 1831094*g**2 - 2 + 3 as h*g**2 + n + d*g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*w**5 - 460*w**4 - 408*w**3 + 560*w**2 - 128*w = 0. Calculate w.\nAnswer: -8, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.52 + 0.19. Let m = y + -0.07. What is the third smallest value in 0.2, -5, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 16 = 8. What is the third derivative of 3*w**2 + 8*w**t + 0*w**2 + 5*w**2 wrt w?\nAnswer: 960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = 40. Suppose 0 = 2*o - 6, -6*a + 3*a - 5*o = -27. Calculate the lowest common multiple of a and y\/(-6) - 4\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1028 or 1013?\nAnswer: 1028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 108*w + 649. List the prime factors of o(-147).\nAnswer: 2, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= 744349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -17*b + 60. Suppose 5*o + 35 - 148 = -u, b*o - 16 = 0. What is the remainder when u is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w = 46*w - 1242. What are the prime factors of w?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 41*b + 56 - 13 = 42*b, -4*m - 50 = -2*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -5. Let k = i - -11. What is the third derivative of 0*y**2 + 0*y**k - 3*y**2 - y**6 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**5 + 4*b**4 - 33*b**3 - 230997*b**2.\nAnswer: 900*b**2 + 96*b - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-66)\/(-8) - (2\/(-8))\/((-36)\/864). Let s(z) = z**2 + 8*z + 16. Let d be s(-6). Solve -j - 3\/4*i**d - 3\/2*i**3 + 3\/2*i + 3*i**2 = 0 for i.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06866 + 0.04865. Let j = r - -0.02. What is j rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371046 is divided by 4510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 2*w - 24.\nAnswer: 2*(w - 4)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 13*s + 4. What is i(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135*d**2 - 2150*d - 160.\nAnswer: 5*(d - 16)*(27*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 767*b + 7396. Calculate t(-11).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-4) - 4\/(-16). Suppose -t*l - l + 66 = 0. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*10\/(-10)*(-49)\/(-798).\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 20 = 4. Let p be 3 + -12*(6\/(-4))\/w. Suppose -d = 0, -10 = i - 3*i - 5*d. Sort -4, i, p, 2.\nAnswer: -4, 2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:41 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r - 4 = 0, -2*a + 38 = r. Let j(m) = -5*m + 9. Let b(n) = -2*n + n - 1 + 3. Calculate a*b(u) - 4*j(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*i - 36, 6*i - 6339 = 2*u - 6283 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x**(-1\/9)\/x)\/(x*x**8*x**(1\/2))*x**(-7)*x\/x**(2\/11)*(x**(-1))**(-14) assuming x is positive.\nAnswer: x**(-1147\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-20) + 65\/25. Suppose 18 = 8*f + s. Solve 0*t = -f*t + 3*k - 10, 5*k + 20 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2*(-12)\/8). Suppose 2*k - 105 = -3*k - 5*u, b = u + 1. Let h = 22 - k. Which is smaller: h or 8\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1024 = -4*u, 3*y = 3*u + 1100 - 104. Let h = -211 + y. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:01 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6 - 1 - 2*u + 7*u. Let k = -2043 - -2056. What is the units digit of d(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1746 divided by -873.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 8 - (-7 - ((-6 - -2) + 8))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181909 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -22 + 31, -2*o - 5*z + 27475 = 0. List the prime factors of o.\nAnswer: 2, 5, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3 - 6*p**3 + 2*p**2 - 5*p + 2*p**3 + 12*p**3. Let b be a(2). Let r = b + -63. Solve -r*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Solve c*f = 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 12. Let t = -66 - -596\/9. What is the closest to 0 in t, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 - 2*y**2 - 7*y**2 - 1 - 7*y**2.\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3219 by 117714.\nAnswer: -1073\/39238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3\/2 - 10*i**2 - 5*i\/2 + 15 = 0. What is i?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4915687 to the nearest integer?\nAnswer: 2217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 24 (b) -0.09 (c) 5 (d) -0.5 (e) -1\/4 (f) 0.01 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 1, i: 4, c: 2}. Give prob of sequence iiic.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.14 (b) 4 (c) 4\/7 (d) 8.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1475187)\/308 + 2\/(-8). Let y = o - -4786. Find the common denominator of 36\/6 + (-609)\/28 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) -2 (c) 2568.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 k when four letters picked without replacement from lllkk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16.6 + -3.33\nAnswer: -19.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*a = -481, -2*h - 3*h - a = 484. Let s = -877\/9 - h. Is s at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.2 + 316.1044717\nAnswer: 328.3044717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqnnnntnc. Give prob of picking 1 y, 1 q, and 1 n.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*n + 7368 = 0, 3*d + 6*n - 4*n = 7367. What are the prime factors of -2*(d\/(-10) - 4)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250) + sqrt(1250) + 2)*-6 - -2*(2 + sqrt(128) + sqrt(128)*-2).\nAnswer: -316*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 913694\/39 + -23430. Let c = -2750\/1131 - o. Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - p - 2*p - p. Let w(a) = 7*a. Let b(d) = -6*s(d) + w(d). Let z(l) be the second derivative of l**3\/2 + l**2 - l. Calculate -4*b(x) + z(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/96*-12)\/((-9)\/621)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 8*q - 9. Let y = 10 - 15. Let t = y + -2. Let o be z(t). Let w(a) = -a + 1. Let h(c) = -c**2 + 2*c - 2. What is o*w(x) - h(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 276137.503 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -149*k - 1329. Let v be r(-9). Let n = 0 - -3. Suppose c - g - 5 - 1 = 0, -n*c = -5*g - v. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - i**2)*(-25*i - 14*i - 10*i - 12*i).\nAnswer: 61*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12*k**2 - 1 + 2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*u - 20, 0 = -c + 2*u + 8 + 2. Suppose c = 25*o + 101 - 1101. Solve -36*t = -o*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:55 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570 - 547) + (4 + 0 - 116).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/7))**(-12) assuming y is positive.\nAnswer: y**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(-10)*u*u))\/(u\/u**20) assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 227 and 31099?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.429055 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/150 - (-1)\/(-5). Solve 57*l - 43*l + 28 = z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2*f**3\/3 + 17*f**2\/2 - 8*f - 6. What is the tens digit of z(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220 * 1\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7*d - 1196 = -3*d, -5*d = -5*l + 5905. Is l a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 2, x: 1, m: 3, s: 1, a: 1}. What is prob of sequence rax?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.755 - 518.755. Let c = 518.000002861 + z. What is c rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:30 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -212, -237, -264, -293, -324, -357?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + (37 - 39).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - j + 756 = 0, -5*k + j = -j - 958. Find the common denominator of 79\/153 and (7828\/k)\/(68\/(-5)).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, h: 2, w: 8, u: 4}. Give prob of sequence uh.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -25 (b) -1\/4 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4267 = 4218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3170679 * -0.02\nAnswer: 63413.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69293 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*h + 7*h + 196. What is the closest to -0.1 in h, 35, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 72*j - 895. Let y be l(-16). Which is the third smallest value? (a) -2 (b) -12 (c) 0.4 (d) 2\/13 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11323 - -10?\nAnswer: 11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 901 and 537.\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 3157.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 5, -3, 1, -0.7378?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66)*3)\/sqrt(6) + 1 + (sqrt(11)*2 - sqrt(11)) + -1 + sqrt(11))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 186*v**2 + 2855*v - 2890. Calculate q(-169).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (5 - 1\/(-1)). Let r(z) = 5*z + 3*z - 5*z - u*z - 3. Let s be r(10). Let g(q) = q**2 - 7*q - 1. What is g(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22902 - -35598. Suppose 0 = -12*c + h - 2940. What is the remainder when c is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15552 and 87616.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/5097 + 5089\/20388. Factor -5\/4*n**2 + 0 - q*n**4 + n**3 + 1\/2*n.\nAnswer: -n*(n - 2)*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1111101010011001?\nAnswer: -1111101010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42973367 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -257141.84 to the nearest 100.\nAnswer: -257100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 441.76 in -0.5, 0.1, -9, -4, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j - 145. Let f(v) = -v**3 - 7*v**2 - 12*v - 25. Let c be f(-6). Let a be h(c). Calculate the greatest common divisor of 375 and a.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/18 - (-200)\/90 - 5460\/2535?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25778473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*p**2 + 3*p + 5 - 4*p - 8*p + 12*p - 4*p to the form m*p + y*p**2 + u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -292 - 162 + 4*z + 77 - 382 as r*z + l and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 72.9. Let l = -0.81 + 5.81. Let y = l + x. What is the nearest to -2 in 4, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**3 - 4*y**2 - 4*y - 8. Let u(j) = -j**3 + 1. Let p(c) = g(c) + 5*u(c). Calculate p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - 3 - (1 + 0). Suppose 0 = -5*p - 5*x + 20, 7*p - 19 = 2*p - 4*x. Suppose n + p*n = 0. Is t at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 (base 7) in base 5?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 5*q - 101, 3*q = -3*s + 69. Let b = 64 - s. Suppose 4*l - g = 54, -4*g = -3*l - 3*g + b. Calculate the remainder when 55 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3223151 centimeters?\nAnswer: 0.003223151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1447.999999834 - -1448. What is g rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 + 236 = 28*k + 17 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, -2, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 23 = 4*d + 5, -23 = 2*l + 3*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.58 - 0.08. Let q = p - 0.3. Do q and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-4) - (-6832)\/(-805)) + 20\/50?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 9378 + 1722 = 0. Does 29 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 5*v + 504. Suppose -5*c - q = 4*q - 90, -v = -2*c - 4*q. Find the second derivative of -5*o - 57*o**3 - 15*o + c*o**3 wrt o.\nAnswer: -234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 21. Let w(n) = 3*n**2 - 12*n + 3. Let a be w(4). Let j(f) = -3. Determine a*i(z) - 21*j(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7 - 10*x**2 - 12*x**2 - 1.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 2*t**2 - 4*t**2)*(4 + 1 + 0) - 1472*t - t**2 - 35 + 1472*t.\nAnswer: -11*t**2 - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 26*t**2. Let r(j) = 832*j**2. Determine -2*r(u) + 65*v(u).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*a + 37. Let k be (1 - (1 - 1)) + a. Solve -3*o - 4*u + k = 0, -2*u - 2 = -2*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -253810 to the nearest one thousand.\nAnswer: -254000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/((m*((m\/m**(1\/8))\/m)\/m)\/m)*m)\/m)**17)**(4\/39) assuming m is positive.\nAnswer: m**(425\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + h + 240, -2*h + 60 = -c - 0*c. Let x = c + 84. Suppose -3*o + x = 4*v, 2*v + 3*o = 10 + 8. Solve -5*i + 2*k = -0*k - 20, v*i + 2*k = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 4, 3\/2, 2, 1\/8, 0.16 in increasing order.\nAnswer: -0.04, 1\/8, 0.16, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 85 in ascending order.\nAnswer: 0, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 19 - 18 - (-13 + 7 - -15) - -7\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-7)\/(-3) - 2). Suppose -4*r = -5*b + 4, 4*r + 4 = -b + 4*b. Suppose 5*w = -b*z - z - 2, 0 = -2*w. Sort z, 3, f.\nAnswer: f, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = 4. Let q be (6\/(-108))\/(o\/(-8)). Which is the closest to 0.1? (a) 0.3 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4\/5, -35, -106?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 11. Let v = -1.001 - -0.9. Let k = v - -0.601. Put m, k, -0.1, -2 in descending order.\nAnswer: m, k, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54\/17*j + 18\/17*j**2 + 2\/17*j**4 - 108\/17 + 14\/17*j**3.\nAnswer: 2*(j - 2)*(j + 3)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 304*h**3 + 8*h**2 - 7*h - 1. Let o be z(1). What is the greatest common divisor of o and 684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1428 - -7051. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1089836143 or 1?\nAnswer: 2\/1089836143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2844, -4631, -6416, -8199, -9980, -11759?\nAnswer: -13536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431110\/6807*(180\/(-25) + 6).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r + 48 = 0. Let g = -8 - r. Suppose 3*w + 29 = 5*c, 6*c = c - g*w + 8. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 + 780*l**2 + 2192*l - 21504.\nAnswer: 4*(l - 4)*(l + 7)*(l + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026818489786 rounded to 5 decimal places?\nAnswer: -0.00268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2) + (2 - (-1 - -116)). Let f = 167 + n. Let j be (-2)\/(-3) - (-26)\/6. Calculate the greatest common divisor of f and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 3 - 3 - 4*t - 5 - t. Let f be v(5). What is the common denominator of 0 - ((-55)\/(-4))\/f and -85\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37214374 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 38 = -43. Let g(l) = -3*l. Let t(m) = -13*m. Let c(h) = a*g(h) + 2*t(h). Let p(x) = -2*x**3 - 10*x. Determine -20*c(v) - 2*p(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 120997*a - 120993*a = -66, 0 = -2*n + 4*a + 68. Find o, given that 1369\/2 + 1\/8*o**n + 37\/2*o = 0.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -55. What is the nearest to 0 in 0.3, 8\/11, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3404614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and 0.044?\nAnswer: -0.00968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 6603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2613046 and 10381.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 10:17 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 11. Let i(p) = p**2 - 8*p + 1. Let g be i(c). List the prime factors of g*((-4 - -99) + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -4, -929 in ascending order.\nAnswer: -929, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(11))*-4 + -2 + (sqrt(275) - sqrt(11))**2 + 3)*5.\nAnswer: -20*sqrt(11) + 925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -382a + 49835?\nAnswer: 46006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-34)*z\/(z\/((z*z**(4\/39))\/z))*z*z**41*z**(25\/4))**(-38) assuming z is positive.\nAnswer: z**(-42541\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1627 != -1919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*y - 200 - 74 = 0, -2*y = 4*w - 230. Which is bigger: 55 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645 + 8*c**2 - 645.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 36*y + 4716. Let x be u(-131). Find q, given that 0 + 6\/11*q**3 - 8\/11*q + x*q**2 - 2\/11*q**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -i - 30. Suppose i*o + 270 = 19*o. What is the smallest common multiple of o and 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1, 2 in increasing order.\nAnswer: -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 38. Let d be 7\/7*(r + 0). Calculate the smallest common multiple of (d\/10)\/(12\/(-40)) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2\/7 (c) 9\/8 (d) 51 (e) 1.2 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + r - 5*r + 0*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3788 + 919 + 2557 - 1344)*((-k + 2*k + 0*k)*(2*k - 1 + 1) - k**2 + 0*k**2 + 2*k**2 - 5*k**2 + 3*k**2 + 3*k**2).\nAnswer: 23680*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*q**2 - 37*q**2 + q - 30*q**3 + 22*q**2 + 8*q**3 to j*q + k*q**2 + s*q**3 + y and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 8:59 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 52*l**2 + 288*l + 39. Is g(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*t - 3*w, -479*t + 480*t - 15 = -5*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90447793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpoo when four letters picked without replacement from orpoppcopp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*f + 126 - 338 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/(-20)*10\/(-4). Let y be (((-3)\/(-297))\/(-1))\/(15\/r). Let p = 1652\/495 + y. What is the common denominator of p and 29\/19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -25*p. Let u(z) be the second derivative of -z**4\/6 - 19*z**3\/6 + 106*z + 1. Calculate r(u(c)).\nAnswer: 50*c**2 + 475*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) -1 (c) 5\/4 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by ((-92)\/10)\/(6\/(-15))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l + 208. Suppose -5*d - 12 = -l. What is the remainder when 30 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 45. Let n(k) = 4*k + 67. Let f(j) = -7*a(j) + 5*n(j). Let y be f(17). Let d(v) = 2*v - 1. Determine d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 10, 3*t - 3*a - 79 = -52. Sort t, 94, -5, 4 in decreasing order.\nAnswer: 94, t, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 174*y - 6294. Let t be w(56). Calculate the highest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47592889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**4 - 3*k**4 + 2*k**4 + 1 + 3*k**4 - 1 + (6*k**2 + 7*k**2 + 11*k**2)*(-6*k + 6*k + 4*k**2) to u*k + o*k**3 + z*k**2 + m*k**4 + q and give m.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -539 - 63\/2*v**3 + 1079\/2*v**2 - 1\/2*v**4 + 63\/2*v = 0?\nAnswer: -77, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -55.5 (b) -1\/6 (c) 0 (d) 23\/5 (e) -3 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -17\/2 (b) -2\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -849 divided by -14150?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 2*z + z - 719*z**3.\nAnswer: -719*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-517 - 189 - 130)*(-2 + 2 + s).\nAnswer: -836*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-32)*-3)\/(3\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*w**6 - w**2 + 34?\nAnswer: -5760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 6*h - 10. Calculate the lowest common multiple of 12 and b(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2 = 6*d. Suppose -d*v + 4 = -32. Let r = -25 - -37. Calculate the smallest common multiple of v and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 5. Suppose 0 = 5*x - x + 3*y + q, -2*x = -3*y + 24. Let g(t) = -5*t + 1. Let v(l) = -2 - 1 + 16*l + 1 - 5*l + 0. What is x*g(h) - 4*v(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16594117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -102 + 38359*l + 121 - 19 as v*l + b and give v.\nAnswer: 38359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 28*o - 4. Let u(s) = -7*s + 1. What is 2*t(j) + 9*u(j)?\nAnswer: -7*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**4\/4 - 2*x**3\/3 - 3*x**2\/2 + 23. Let c be (-11)\/(-4) + (-2)\/(-8). Let p be m(c). Solve -5*y = -p - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1292 divided by 2.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3*j - 2. Let u(x) = -2*x**3 + 5*x + 3. Let h(b) = -5*k(b) - 3*u(b). Let d be h(1). Suppose 0 = -2*r - d*r - 12. Is r <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -37. Suppose 8*g = -j - 21. Let o(l) = -2*l**3 - 10*l**2 + 8. List the prime factors of o(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 12*g + 35. Let r be z(-4). Let i(y) = 3*y**2 + 53*y - 2. Let f(l) = 2*l**2 + 35*l - 1. Let u(o) = -8*f(o) + 5*i(o). What is the units digit of u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + s = -2*s + 279, 4*s + 396 = 4*l. Let w = 33 - 29. Suppose -l + w = -2*j. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-4)*-1173*(-2)\/6.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -21. Suppose 0 = -5*a + f + 1810, m*f = 3*a - 0*f - 1086. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, and 1 j when three letters picked without replacement from {j: 1, p: 2, h: 2, q: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114200?\nAnswer: 2, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*f = 4, 0 = -0*q + q - 4*f + 11. Solve -q = -0*z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or 1324\/11?\nAnswer: 1324\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.92 + 0.92. Let b be ((-180)\/21)\/4*(-19)\/9. Let u = 34\/7 - b. Put u, p, -0.5, 0.5 in descending order.\nAnswer: 0.5, u, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 189155, -2, 1, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(4\/(-1)))\/((-102)\/3)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45961.7551 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*v + 7956 = -49*v. What are the prime factors of v?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y + 18 = 3*i + 2*y - 69, 4*i + 17466*y - 46 = 17462*y - 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5539.\nAnswer: 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 5 = -19*o. Let k be ((-265)\/15)\/((2\/(-6))\/o). What is k rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23850, 47519, 71188, 94857, 118526, 142195?\n\"Answer: 23669*x + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 + 11*d + 12. Let u be i(-9). Suppose u = 8*o + 94. Solve f = -5*r, 5*f = 2*r + r + o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65017.3 litres?\nAnswer: 65017300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -84*w + 70*w. Let t be (7 - w - -95) + 7. Is 103 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca6e (base 16) in base 3?\nAnswer: -2122002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*p**3 - 192*p**3 + 3 + 2*p + 366*p**3 as a + r*p + s*p**3 + i*p**2 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/3687 - 3707\/14748. What is the fifth biggest value in 13\/5, -2, 2\/13, 38, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (10 - 10) - 4. Determine c, given that 96\/5*c**3 + d*c + 12\/5*c**2 + 0 + 147\/5*c**5 + 231\/5*c**4 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-35)*n\/(n\/n**(-2\/21)*n) assuming n is positive.\nAnswer: n**(-737\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/104 and 7\/85462.\nAnswer: 341848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 53703\/204 + 2\/((-16)\/(-6)). What is the highest common divisor of 96 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.22938 and 907522.1.\nAnswer: 907522.32938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 417877 and 534531.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -312?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02332607588 to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.16 - -21.16. Which is the fifth biggest value? (a) 3\/4 (b) 0 (c) 1 (d) 423 (e) k\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21544, -86514, -194902, -346708?\nAnswer: -541932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**3 + 4*a**2 - 6*a + 63. Let i(v) = 5*v**3 + 2*v**2 - 3*v + 31. Let u(w) = -5*i(w) + 2*z(w). What is the second derivative of u(o) wrt o?\nAnswer: -18*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 2653101?\nAnswer: 2653100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(4800\/(-30))*-39 + 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17890, 35861, 53826, 71785, 89738, 107685, 125626?\n\"Answer: -3*z**2 + 17980*z - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-40)\/20?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - c?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 1. Let y(p) = -2*p**2 + 4*p + 4. Let j(q) = -4*m(q) + y(q). Let g(i) = -32*i**2 + 3. Determine g(j(t)).\nAnswer: -128*t**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 6*n + 8*n. What is the remainder when 51 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 71. Suppose -2*q + 5*r + 356 = 0, 6*q - p*q - 178 = -3*r. What is the first derivative of 162 - 33*s**4 - q + 4*s**4 - 5*s**4 wrt s?\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116374343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.5 + 8.8. What is the closest to -1 in -2\/183, t, -3?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/792 and 49\/48.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*v + (4 - 3 + 4)*(v + 2*v - 4*v) - 3*v + v + 3*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12941349 is divided by 81?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-120) + (-1646)\/(-30). Suppose -45 = -r - 3*l, r = 2*l - 0*l + x. Let p = r + -29. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70, 106, 132, 142, 130, 90, 16, -98?\n\"Answer: -v**3 + v**2 + 40*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:25 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 + (1 - 3 + 6)*(0 + 0 + 2))*(3*y - 3*y + 2*y).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8425.886 micrograms in tonnes?\nAnswer: 0.000000008425886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17108 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0396 + 4.0396. Which is the nearest to 3\/5? (a) -5 (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 17*k + 21. Let s be q(16). Let l be ((-4)\/s)\/(40\/100). Which is the nearest to 0? (a) l (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6201737835 to the power of 1\/2, to the nearest integer?\nAnswer: 78751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 9 = 0, 4*r + 4 = 318*t - 320*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s - 30*s + 7*s + 0*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 102a?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:35 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12001001011022 (base 3) to base 16\nAnswer: -28dbe5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 411135, -5 in increasing order.\nAnswer: -5, 1, 411135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 311325, 311343, 311361, 311379, 311397?\n\"Answer: 18*r + 311307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.6, 9, -1\/9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153 + -147. What is the fourth smallest value in 0.4, y, -5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k*k\/k**(1\/2))\/k*k)**(-30)*(k\/((k\/(k*k**(-2)\/k*k*k))\/k))\/k*k*k**(-2)\/k assuming k is positive.\nAnswer: k**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 787383 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4793 + 5053. Calculate the least common multiple of w and 340.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16481960*s**2*x**3 + 146*s*x**3 - 5*s*x**2 + 986*s + 5 wrt s?\nAnswer: -32963920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose -6*d + 16 = -u*d. Sort -2\/7, -4, d in increasing order.\nAnswer: -4, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p**2*t + 4668*p**2 + 3*p*t**2 - 3*p*t - 6*t**2 wrt t?\nAnswer: 3*p**2 + 6*p*t - 3*p - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -2*n - n, 3*n - 4 = -2*l. Let b be n\/((1 + 2)\/(-3)). Solve 0*a**2 + 2\/11*a + b - 2\/11*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49459174*i + 30115266 with respect to i.\nAnswer: -49459174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 3*b - 10. Let f be -1 - 0 - (-1 - -5). Let y be x(f). Let m be -7 - -3 - (y + -90). Round m to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6386666 and 3344?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 2, z: 1, a: 3, j: 7}. Give prob of sequence az.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3442, -3455, -3476, -3505, -3542, -3587?\n\"Answer: -4*b**2 - b - 3437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119913174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58721848?\nAnswer: 2, 7340231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*v = -s - 1331, -3377 = -5*s + 4*v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-1))**(-1\/2)\/(w**(1\/2)*w\/(w\/(w\/(w**(-2\/13)*w)*w))))**14 assuming w is positive.\nAnswer: w**(-574\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 517 + 462 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*d - 3*d + 4)*(18*d + 2*d**2 - 18*d) - 3*d**3 + 2*d**3 + 0*d**3.\nAnswer: -15*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 2*w)*(12 - 45 - 65).\nAnswer: 98*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 504.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -k + 3*k. Let p be 563994\/k - 1\/(-2). Round p to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 3045*d**2 + 618135*d - 41827135.\nAnswer: 5*(d - 203)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m = -5*m - 252 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80887 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3405 - -3429) + (3 + -2 - (1 + -20))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g*l**2 - 55130*g*l - 92*l**2 + 41*l wrt g.\nAnswer: 3*l**2 - 55130*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -550.5501558 to the nearest ten.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(20) + 3 + sqrt(40)\/(sqrt(648)*1).\nAnswer: 19*sqrt(5)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-855)\/12)*(-5)\/(-2)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a640 (base 12) in base 5?\nAnswer: -3402124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(4*(sqrt(5) + (sqrt(5)*3 - sqrt(5)))) - (sqrt(17) + (-1*sqrt(119))\/sqrt(7) - (1*sqrt(1377) - sqrt(17))).\nAnswer: 97*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/6*15\/(-20). Let n = -1 - -1. Which is the closest to -0.2? (a) n (b) i (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 + -4)\/(6 - 7) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3252*k + 6482*k + 44 - 3257*k)*(-2*k - 9*k + 6*k) + 2*k**2 - 6*k**2 + 2*k**2.\nAnswer: 133*k**2 - 220*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1300) + 4 + 1 + sqrt(1300))*-4 - (-5*(sqrt(1300) - (2 + sqrt(1300) - sqrt(1300))) + 4)))**2.\nAnswer: 2100*sqrt(13) + 12925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w. Let j be b(-7). Suppose -8 + 4922 = 13*s. Suppose s = 7*a - 5*a. Calculate the highest common divisor of a and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*k = -554 - 190, 5*k + 400 = p. Suppose -3*o - n + p = 0, 4*o - 8*o - n = -506. Let s = o + -1513\/12. Put -1, s, -0.2 in ascending order.\nAnswer: -1, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.161 rounded to the nearest ten?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7\/(-5))\/((-64)\/(-80))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*m. Let n(t) = 19*t - 9. Calculate the remainder when n(m) is divided by 3*1*(-8)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 155. Let y(b) = b**3 + 4*b**2 - 8*b - 2. Let o be y(h). Solve 5*x - f + o = 0, -f + 7 = x + 2*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 9*v**2 - 18*v + 7. Let s(t) = -7*t - 1. Let j be s(1). What is the remainder when n(j) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*y - 2*g**3 - 63*g**2*y - 10*g**2 + 14*g - 79*y wrt g?\nAnswer: -12*g*y - 12*g - 126*y - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, i: 6}. What is prob of sequence ibi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-5) + (-28)\/(-10). Suppose -2 = -o*s + 8. Suppose -5*l = s*h + 129985, 0 = 5*l - 3*l - h + 52003. Round l to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 7*w**2 + w + 7. Let r be a(-7). Let s = -0.0562 - 2.4538. Let z = -2.67 - s. Which is smaller: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*l - 64 = -6*l, -y + 35 = 2*l. Suppose -y*d + 20*d = -1944. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35390026 by -821.\nAnswer: -43106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 0.03972.\nAnswer: 0.13972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 7174221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -565641, -565633, -565625, -565617, -565609?\nAnswer: -565601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2, 0.2, -2\/21.\nAnswer: -2\/13, -2\/21, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/18*3\/49)\/(9\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 + 153*f - 961. Give s(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 153 = 78. Let x = -75 + s. Solve -5*t - 3*d - x = 0, 0 = 3*t - 2*d + 6 - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13155 - -4?\nAnswer: -13151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -838 + 51d6?\nAnswer: 489d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99) + sqrt(99)*-2*-6)\/(sqrt(9) + (sqrt(54)\/sqrt(6) - sqrt(9))*-2).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 40*p + 40*p + 9*p**2)*(-2 + 0 + 1) to the form c*p + t*p**2 + d and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 42. Let f be j(0). What is the highest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x - 11 = 5*b, b = -2*x - 7. Sort 4, x, -1, 0 in ascending order.\nAnswer: x, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t. Let q be (3 + -6)*1*-1. Suppose 5*y - 14 = 3*y - 2*w, -q*w = -3. Let x(o) = -6*o + 1 + 10*o + 3*o. Determine y*r(k) + x(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:40 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-209266.62\nAnswer: 20926.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7b (base 16) to base 7\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 10189.68 months?\nAnswer: 8.4914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by 4\nAnswer: 285\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 62*g**2 + 96*g + 2983. Give v(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:48 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r - 6. Let l(g) = 270567 - 135280 - 135286. Calculate c(y) + 5*l(y).\nAnswer: 13*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffwo when four letters picked without replacement from {x: 1, f: 2, w: 1, o: 1, a: 1, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g + 79. Let u(w) = 4*w + 39. Give -4*r(v) + 7*u(v).\nAnswer: -4*v - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -25. Suppose 2*g = 4*w - 56, 2*w - 22 - l = 2*g. Suppose -q + 5*o = -18, 18 = -10*q + 11*q - 2*o. What is the smallest common multiple of w and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 25 - 19. Let b = 17 + r. What is the tens digit of 9\/b + 17\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 1. Let j(c) = 4*c**2 - 2*c. Let t(s) = 2*f(s) - j(s). Let k(m) = m - 1. Let r(a) = -2*k(a) + t(a). Let n(q) = 5*q. Give n(r(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 0*v - v + (1 - 1 + 2*v)*(6 - 2 - 3) + 3*v - v - v + v - 4*v + 2*v - 2*v - 1 + 1 + (2 + 0 + 0)*(0*v + v + 0*v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 7:30 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22001, -87998, -197983, -351944, -549869?\n\"Answer: 2*n**3 - 22006*n**2 + 7*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3 - 49899330*h**2 - 299396115*h - 449094240 = 0. What is h?\nAnswer: -3, 9979872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {g: 3, a: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/11 + 60224*v\/11 + 453366272\/11.\nAnswer: 2*(v + 15056)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 747326*l**2\/3.\nAnswer: -2*l**2*(l - 373663)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31568880 divided by 751640\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15425 is divided by 15417?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125761910*y**3 + 740*y**2 - 9581.\nAnswer: 754571460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.523 rounded to the nearest integer?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086128 rounded to four dps?\nAnswer: 0.0861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/12 + 180*p**2 + 2. Let k(b) = -78*b - 3. Give k(d(m)).\nAnswer: -156*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 324*b - 10. Let u(o) = -487*o + 16. Calculate 8*l(t) + 5*u(t).\nAnswer: 157*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x - 3. Suppose -x*g + 29984 = 4*t, 4211 = 5*g + 4*t - 45773. Round g to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4350231 is divided by 117573?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4413304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23747 - 23447 + 47196 + 16*h.\nAnswer: 16*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12 - (-6 - 4\/(-24)*-395). What is the highest common factor of 738 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/1017 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 1004 + 2437. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1322 - 1322 + 128*u**2.\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -288 at most -289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30208 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005842727 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -101*x**3 - 9*x**2 + 7*x - 24. Let d(t) = 50*t**3 + 5*t**2 - 4*t + 13. Determine -11*d(s) - 6*g(s).\nAnswer: 56*s**3 - s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21841 - -0.3\nAnswer: -21840.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -14*m, 4*z - 2744 = 5*m. Let q = z + -313504\/457. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1142 - -17.069674\nAnswer: 17.183874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01086062 rounded to four decimal places?\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 117*p**2 - 1485*p + 13230. Calculate t(-101).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -13. Let w = r + -4. What is the tens digit of 2 + 7 + w\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-28)*27\/(-18)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40280729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**3 - 3*j**2 - 4*j + 5. Let o = -16 + 30. Suppose 10*v + o = 3*v. Let m(d) = 2*d**3 - d**2 - 2*d + 2. Determine v*l(c) + 5*m(c).\nAnswer: 2*c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 378, 413, 444, 465, 470, 453?\n\"Answer: -r**3 + 4*r**2 + 30*r + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 9*v = 9*v - 2*v. Suppose f - 2*j - 10 = 0, 15 = -2*f - j - 2*j. Solve f = i - v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {g: 2, o: 4, e: 1, f: 10}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11029 + -11031. Which is the second biggest value? (a) -4\/5 (b) 18.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2011968 * -78.\nAnswer: -156933504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4205, -4148, -4053, -3920, -3749, -3540?\nAnswer: -3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -655, 2, 3, 75, 0 in descending order.\nAnswer: 75, 3, 2, 0, -11, -655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 18. Suppose -3*l + m + 5 = 0. Does 15 divide (-6)\/l - 365\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -7*k**4\/24 + k**3\/6 - 117*k**2. Suppose -2*x + 0 + 5 = 3*p, 3*x = 4*p + 16. Calculate t(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 6. Determine b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Suppose 2*h - 1 - 5 = -2*b, 0 = -g*b + 2*h + 2. What are the prime factors of 43 + (b - 3) - -3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + -4. Suppose 0 = 19*v - 1114 + 3679. Let q = k - v. Is 29 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + 1. Let l(y) = y + 2. Let w be l(-3). Let g be x(w). Solve g*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/30*-74 + (-2)\/(-5). Suppose 0 = 2*f - f - 4, 2*k - 5*f - 146 = 0. What is the remainder when k is divided by (t\/(-5) - 1)\/((-4)\/(-140))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 135 = 2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*i = 232*i + 595*i + 433*i - 8826 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a - 149. What is n(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 493041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, x: 1, f: 2, c: 4}. Give prob of picking 2 g.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -259258000 rounded to the nearest 100000?\nAnswer: -259300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gig. What is prob of sequence igg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62065.45 decades to centuries.\nAnswer: 6206.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -21*l**2 + l. Let y(r) be the third derivative of -r**4\/8 - 4*r**3\/3 + 19*r**2. Let k(c) = -2*c - 5. Let f(w) = -8*k(w) + 5*y(w). Give f(p(v)).\nAnswer: -21*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**7\/21 - 3*f**3\/2 + 11*f**2. Differentiate x(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 20*f**2 - f + 24. Let k be s(20). Let t be 1 + (4\/8)\/(10\/(-28)). Which is the nearest to -6? (a) -2 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*u + 47*r - 2956 = -413, -u - 143 = -3*r + 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 472686361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 405.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*z - 16. Suppose -z*y + y = -231. Calculate the remainder when 97 is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 2*p**2 + p**3 + (-4*p + 2*p**2 + 4*p)*(2*p - 2*p - 3*p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1477054 from -263.\nAnswer: 1476791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - v**2 - 5*v + 10. Is m(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 107*c**2 + 2503*c - 4507. What is d(-38)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2011 - -2011.1. Let c = -13.4 + -88.6. What is the second biggest value in c, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -4)\/1 - 13. Let a be 1\/((-3)\/(p + -3)). Let j(z) = z**2 - 4*z - 4. Give j(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/30 and 101\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -9. Let g = l + 3. Let m = -2.1 - g. Which is the biggest value? (a) m (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/(21\/(6 - 69)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**4 - 2*l**2 + 2*l**2)*(-53 - 109 - 143) in the form j*l**2 + m*l**4 + c + h*l**3 + v*l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-525*c - 530*c + 1062*c + 52*c**2)*(-5*c - c + 5*c).\nAnswer: -52*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 289, 500, 797, 1210, 1769, 2504?\nAnswer: 3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -605*f + 306*f + 301*f - 430 to n*f + l and give l.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 33 = 5*v, -6*v + 11*v + 15 = 0. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 46\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18170, -4, 4, -9.\nAnswer: -9, -4, -1, 4, 18170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 508*n**2 + 16*n + 12. Let v(h) = -505*h**2 - 16*h - 11. Let k(y) = -6*p(y) - 5*v(y). What is the second derivative of k(d) wrt d?\nAnswer: -1046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1135997 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-1 - -2 - 3). Suppose -c - b = -0*c. What is the common denominator of -31\/4 and (-122)\/c + -2 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 2)*-1 + 26. Let j = d - 21. What is the second derivative of 0*u - 2*u**3 + 2*u + 4*u**3 - j*u wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -152*z - 57. Let t be g(-5). Suppose 8*v = 2071 - t. Let h be 19*1 - 0\/(-3). What is the greatest common factor of h and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11004 divided by 6.\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 - -0.25. Let f = 0.23 - y. Let d = -0.22003 + f. What is d rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -6. Let s(z) = z**2 + 10*z + 12. What is the smallest common multiple of s(a) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) 2\/3 (b) 1833 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 8. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*f + 3*k - 18, -4*f - 2*k = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 20. Let m = h - 7. Solve 4*z - m = -35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -101010010011111?\nAnswer: -101010010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100754 - -1107391\/11. Let o = j + 85719\/1045. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2866 + 2866 + 4*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 15*h**2 - 14*h + 8. Let o = 725 - 728. Let s be (-4)\/8*o + 50\/4. Determine d(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*p + 222*p + 199*p + 7 - 14*p - 179*p as s + g*p and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*d - 28*d**2 - 12*d**2 - 375*d.\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 10 = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -9, -13?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 2:00 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 9*s + 12. Suppose -23 + 1 = 2*a. What is the remainder when v(a) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.348 - 56.\nAnswer: -60.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y - 35. Let w be p(27). Let r(k) = -6*k**2 + 5*k + 1. Let s be r(-5). Let d = w + s. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 9*m. Suppose -2*k + 2 = 2*n, -3*k + m + 11 = n. Solve -j - j - 2 = 4*c, -k = 5*c + 3*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0 + k - 17\/6*k**3 + 1\/15*k**5 - 1\/24*k**4 - 3*k**2. What is the derivative of j(q) wrt q?\nAnswer: 8*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**2*t**2 - 121568*i**2*t - 2*i**2 + 2*i - 23*t**2 + t - 14509 wrt i?\nAnswer: 6*t**2 - 243136*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 - 2*v + 5. Let c(y) = 18*y**2 - 4*y + 8. Calculate -5*b(d) + 3*c(d).\nAnswer: 14*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3683\/4919249 - -624268204429\/169832152476. Let c = b - -5\/2466. Find the common denominator of c and -41\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/2*62776\/(-944)*(-3)\/1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-30))\/(((-42)\/35)\/3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2 - 23*n - 24. What is r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7))**22*(g\/(g**(-1\/2)*g))\/((g**1\/g)\/g) assuming g is positive.\nAnswer: g**(109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b - 3*b + 2*b + 3*b - 2*b + 0*b + 0*b + b + b + (0*b - b + 2*b)*(-1 + 2 - 2) + 2*b + 3 - 3 - 17*b - 9 + 21*b + 5*b.\nAnswer: 21*b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) -2\/7 (d) 0.157 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:32 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -344*h + 18. Let c be p(0). Let o(k) = 29*k**2 + 5*k + 2. Let b be o(4). What is the highest common factor of b and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from uhpyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59048\/1965 - 762\/131. Let y = 181\/6 + w. Let g = -31909\/3 + 170135\/16. What is the common denominator of g and y?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 538*n**4 - 90 + 2*n**2 - 32 - 536*n**4 - 4*n to h*n + y*n**2 + t*n**3 + z + a*n**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25020 and 6767076.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:31 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.202 + -1.798. Which is the nearest to s? (a) 2 (b) 3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (216\/60 - 4) + (-19)\/(-35)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-3350)\/20)\/(8\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 22, 62, 136, 256?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, c: 5, x: 1}. What is prob of picking 1 x and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-14))\/((-240)\/(-56) - 5). Which is the smallest value? (a) 7 (b) u (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 6*g**2 + 6. Let z be p(-6). Let i(r) = -8*r + 130 + r**2 - 256 + 123. Calculate i(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26276836*t**3*v**3 - 23547*t**3*v**2 - 3*t**3*v + 3*t*v**2 + 17*v wrt v?\nAnswer: 157661016*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24163505 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 1*sqrt(133)*6)\/(sqrt(63)\/(sqrt(9)*3)) + (-3 + sqrt(19)*-1 + 1 + sqrt(19))**2 + (-3 + -2*sqrt(19))*-4.\nAnswer: 16 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 152*n - 1143. Calculate y(7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12314.798 - 12325. Round g to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 3\/(-1))*(-3)\/(-6). Suppose 4*q + 40 = j*v, -4*v = -9*v - 3*q + 10. Solve -v*r + 7 + 3 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 7*u**2 - 60*u - 2. Determine t(-8).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 2*m, 4*m = -4*y. Suppose -4 = -5*g + 3*r, -y*g - 3*r - r + 12 = 0. Suppose 5*h - x = 264, h - g*x - 268 = -4*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1106346ml to litres.\nAnswer: 0.0001106346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29467? (a) 4 (b) 1\/14 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - (4 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 14\/3, 32, 0.132, 2, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 140, 450, 1050, 2036, 3504, 5550?\n\"Answer: 16*q**3 + q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*j + 10. Suppose 23*w - 27*w + 8 = 4*u, -3*u + 4*w = -27. Solve -2*v - u = y, -j*y = -3*v + v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762078.\nAnswer: 2, 3, 157, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117\/230 or -2?\nAnswer: -117\/230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 4731, 16187, 38553, 75465?\nAnswer: 130559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 797429084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -20 + 30. Suppose 4*j + 974 = 314. Let q = j + 167. Solve 12 = q*o + c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 772*s + 772*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-3 - (-93)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77032 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -16*r + 1633. Give y(104).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -5598?\nAnswer: 5588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32234 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 h = -16749 - -16749. Is -4\/4905 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a806 - -106?\nAnswer: a90c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b8 - 19?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 2, p: 5, q: 5, u: 5, v: 1}. What is prob of picking 1 w and 1 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5*x**3 + 2*b**4 + 11*b**3*x**3 + 2*b**2*x**3 + 2*b**2*x - 48*b*x**2 wrt b.\nAnswer: 60*b**2*x**3 + 48*b + 66*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 4*v**2 + v - 2. Suppose -30*z = -33*z + 9. What is u(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*a + 11 + 38 = 0, 5*x - a + 77 = 0. Let d be (-1)\/3 - 110\/(-6). Let z be d\/(-1)*x\/(-5). Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 512552.83\nAnswer: 3587869.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000431128 rounded to six dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1652350 - 16.99\nAnswer: 1652333.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/(-7*(-4)\/(-8))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - 6*(1 + sqrt(2)) - (sqrt(32) + -2).\nAnswer: -9*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268716.\nAnswer: 2, 317179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440686731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438258 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 2:17 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 0*c**2 + 0*c**6 - 3*c**3 + 0*c + 16\/7*c**7 + 0*c**4 + 0*c**5 + 4. What is the third derivative of n(p) wrt p?\nAnswer: 1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*m + 54*m + 31*m to the form g*m + f and give g.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a century in decades?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f. Let o(s) = 14922*s**2. Calculate y(o(b)).\nAnswer: -268596*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011112 - 2331?\nAnswer: -1020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1084, 719, 114, -731?\nAnswer: -1816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 18 = -0*c. Let f(y) = -5042*y + y**2 - 4 + 5042*y. Is f(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38678*g + x - 19 = -38675*g, 0 = 2*g - x + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 231*j - 230*j + 5 + 0. Let k(t) = 3*t - 1. Let r be k(1). Let h(w) = 2*w - 4 - 4*w - w + 2*w. Determine r*o(v) + 3*h(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 15 + 13 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 + 43075*k**2 - 4710965*k - 4754035 = 0. Calculate k.\nAnswer: -8723, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*-90*(42 + -39 - 64\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 154?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 440585.9301 rounded to the nearest 10?\nAnswer: 440590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*z + 3*z + 5, 4*m = -z + 17. Calculate the highest common divisor of 18 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2103717539?\nAnswer: 7, 11, 3903001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -7, -1 in increasing order.\nAnswer: -7, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200221001 (base 3) in base 15?\nAnswer: -10b44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {r: 7, z: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t - 3*z + 1268 = 0, -240 = -t - 4*z. Calculate the greatest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*1\/(-6)*3. Suppose 6 = p*n - 0*n. Suppose 4*q + 2*t + 43 = n*t, -5*t = -15. Round q to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 45 = -5*t, t + t = 4*u - 44. Suppose 0 = 2*s + 5 - u. What is the third derivative of -4*w**4 + 11*w**5 + 0*w**4 + 4*w**s + 8*w**2 wrt w?\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.3? (a) 2\/9 (b) -0.3 (c) -1 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -13b20b6?\nAnswer: 13b20b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/11 - 123\/(-11). Suppose 10*f = y*f. Suppose f = -10*s + 7*s + 12. Solve -s*p = -0*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1.1, -3 in descending order.\nAnswer: 4, -1.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 321488929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1590*q + 1589*q - 3179*q + 13*q**2 - 19*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15065 divided by -1\nAnswer: 15065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {x: 5, n: 1, e: 2, c: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (12 - 12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 - 4*p**4 + p**4 - 7*p**4 + 7*p**4 - 3*p**4 + (-3 + 3 + 2*p)*(2*p**2 - 2*p**2 - p**3).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 - 7*f - 3 - 3 + 0. What are the prime factors of t(-14)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 2*v**3\/33 + 15*v**2\/11 + 72*v\/11 + 71. Factor x(d).\nAnswer: 2*(d + 3)*(d + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21711.99974202 - 21712. What is m rounded to 6 dps?\nAnswer: -0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.9551174 rounded to one decimal place?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/486948 and 45\/1972?\nAnswer: 14121492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005774392 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 4)*(5 - z**4 - 5 + 0*z + 2*z**4 + 0*z + (2*z**2 - 2*z**2 - z**3)*(-2*z - 4*z + 4*z) - z**4 - 4*z**4 + 4*z**4).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6907189 is divided by 1814.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -26*d**3 - 13*d**2 - 5*d - 11. Is a(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 877*c**5*z**2 + 51062*c**2*z**3 + 3036*c*z**3 + 2*c*z - 2*c + z**3 - 351*z + 4 wrt c?\nAnswer: 17540*c**3*z**2 + 102124*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 36151678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43, -36, -15, 26, 93?\n\"Answer: a**3 + a**2 - 3*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {b: 3, o: 2, t: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8750464 and 2048?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 6*g + 10*g)*(1 - 2 - 2)*(g - 2*g - g).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 2, u: 2, d: 5, t: 2}. What is prob of picking 2 u?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67, -25, 33, 113, 221?\n\"Answer: a**3 + 2*a**2 + 29*a - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -42, -63, -84?\n\"Answer: -21*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(272))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/26 - 22*z**3\/39 - 14*z**2\/13 + 48*z\/13 + 2. Factor r(l).\nAnswer: 2*(l - 12)*(l - 1)*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/(12\/150). List the prime factors of 4\/(-10) + 184\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65863, 65864, 65865, 65866, 65867?\n\"Answer: o + 65862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - v = 54, 4*f - 912 = -v - 921 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 8*b**2 + 10*b - 13. Let r be n(9). Put -5, 2, r in decreasing order.\nAnswer: 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/80 and 11\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -508 - -537. Let z(u) = -2 + 11*u + 7*u - 1 + 12*u. Calculate the remainder when z(2) is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -636515 by 1.\nAnswer: -636515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*h + 149*h = -69*h + 72*h + 22960 for h.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p**2 + 9*p**2 - 34*p**2 + 19*p**2.\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4269 at most 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1042 - -2184. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 49 + 48 + 50 + 53 - q**2 + 0*q - 201. Suppose -2*i = -2 - 6. Calculate w(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*j**2*w**3 - 2*j**2*w - 15*j*w**3 + 364*j*w wrt w?\nAnswer: 912*j**2*w - 90*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.061752 times 0.5\nAnswer: -0.030876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 35*t**2 + 2*t + 2. Let a be x(0). What is the nearest to 1 in -0.5, -8\/51, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/735 and 59\/900?\nAnswer: 44100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 2*c**2 - c. Let q(s) = s**3 + s**2 - 7*s. What is -3*d(m) + q(m)?\nAnswer: -2*m**3 - 5*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/4713 or -1?\nAnswer: -4\/4713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 o when four letters picked without replacement from {o: 2, c: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) -1.2 (c) -130 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 0.2, 5\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z, 2*g - z = z + 98. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74 - 50. Suppose -z = -3*t + 3*p, 3*p + 5 = -2*p. Factor 2*k + k**2 - 6 + 0 - t*k.\nAnswer: (k - 6)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)\/sqrt(2))\/sqrt(4))**2 - (2*sqrt(396))**2)*2.\nAnswer: -3146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 9, -4 in decreasing order.\nAnswer: 9, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4 and 163\/6165090?\nAnswer: 12330180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 5 + -7 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.28944 rounded to two dps?\nAnswer: -60.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*q - 153720 = -618*q + 1244*q + 1110*q for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 640*j + 863. What is a(-1)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -21?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11543 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 1, v: 2, r: 1, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - 4*d)*(1 - 2 - 1 + (-2 + 2 - 1)*(-2 - 1 + 2) + 14 + 26 - 10 + 4 - 5 - 1 + 1 + 1 - 4).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 292. Let w be (-1)\/(-3) + (-1394547)\/z. Let v = 5961 + w. What is the common denominator of v and 83\/18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221220 - 2010?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15631, 15613, 15569, 15487, 15355, 15161, 14893?\nAnswer: 14539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96242?\nAnswer: 2, 48121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0 - 561\/(-11). Suppose 60 = 4*i + 3*g, 5*g + q = 5*i - 59. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000748506 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4358*v - 18480 = -5282*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*p + 35829 + 24469 = -8523 + 11287 for p.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Let c be (-12)\/8 + s\/(-4). Is (-123 - -1)\/c - 0 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9445801 and 207.\nAnswer: 85012209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 12*c. Let n(l) = 2*l**2 + 6*l. Let m(s) = -3*i(s) - 7*n(s). Calculate m(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0.3 (c) 3299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 25. Let j(q) = 6*q - 24. Let s(b) = -4*i(b) + 3*j(b). What is the units digit of s(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26954 + 26954 - 7227*n**2)*(-3*n - 2*n + 4*n) + 4 - 4 + 2*n**3 to o + t*n**2 + x*n + q*n**3 and give q.\nAnswer: 7229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7))**(-17)\/(q**1)**(-4))**(-2))**(-4\/31) assuming q is positive.\nAnswer: q**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 838655954 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p + 3. Let m be o(-1). Let b be (-6 - m)*10\/(-8). Solve 0 = 3*k + 4*r - 3*r - b, -5*r = 5*k + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**4 + 112*p**2 - 5562*p wrt p?\nAnswer: -72*p**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1)\/(-3) - (-5)\/15. Let t be v*1\/(-1) - -2. Solve 5*r - 4*c = -0*r - 17, t*r + 20 = -5*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2. Let y(s) = s**2 + s - 1. Let j(z) = -2*n(z) + 3*y(z). Give j(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21659.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u + 37*u = 71. What is the third derivative of u*w**3 - 84*w**3 - 136*w**2 - 38*w**3 wrt w?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8467003 decades to centuries.\nAnswer: 0.08467003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -883.2 to the nearest ten.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18346 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157773939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*(48\/28)\/2. Suppose -z*b = -5*b - 763. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p - 2. Let q(s) = s + 1. Let y(a) = -q(a) - u(a). Let j be -2*(1 - 3\/2). Calculate y(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.7 - -15. Let h = q - -3. Which is the third biggest value? (a) 2\/3 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 701749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88898 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -6*m + 32. Suppose m = -b, 5*s + 3*b = -b - 606. Let g = s + 350. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7071321 and 849.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plll when four letters picked without replacement from {z: 2, p: 1, l: 11, d: 1}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 7*r + 15. Let h be l(-5). Solve -h*t + 4*t = -b - 5, -3*b = t - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, -3, 2, -112806, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -637*l**3 - 310*l**2.\nAnswer: -3822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296612 is divided by 9886?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.246677+-0.952023\nAnswer: -0.705346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -14*d**2 - 5*d + 5*d. Let l(j) = -161*j + 81*j + 84*j. Determine w(l(p)).\nAnswer: -224*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -1, 1, 13, 41?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -17 + 89. Suppose -j - 3 = -q + 3*b, -41 = -3*q + 5*b. What is the remainder when 71 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -357483 in ascending order.\nAnswer: -357483, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 82 = -5*f + f, 6*f - 122 = 38*s - 42*s for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -21, -4, 4, 5, -39, 15 in increasing order.\nAnswer: -39, -21, -4, -3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 49 - (97*(-1)\/7 + (-604)\/(-2114))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-6))\/((-1)\/3). Let z = -86 - -85.6. Which is the nearest to 0.1? (a) z (b) g (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + -12 - 502\/(-42) and 7\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313195?\nAnswer: 5, 62639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 66*g**2 + 23*g + 19. Let y(f) = -22*f**2 - 8*f - 7. Let k(u) = 3*l(u) + 8*y(u). What are the prime factors of k(-5)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7893.5997 + -7894. Let l = 0.4 + n. Round l to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -x + 4*y - 2, 0 = 5*x - 3*y + 17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/1820*52\/8*-1?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/19 - 52*c\/19 - 54\/19.\nAnswer: 2*(c - 27)*(c + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 14629*p - 1 - 14619*p)*(-99 + 99 - 4*p**2).\nAnswer: -40*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -3, 518, 0, -1, 2 in decreasing order.\nAnswer: 518, 2, 0, -1, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 10. Let q(z) = -11*z**2. Determine q(f(a)).\nAnswer: -396*a**2 - 1320*a - 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 955*-0.696\nAnswer: -664.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*b = 86, -3*b - 4 = 5. What is the least common multiple of 12 and k?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -604, -6, 168, -5 in increasing order.\nAnswer: -604, -6, -5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**13*d)*d**(1\/13)\/d)\/(d\/((d**(-22)*d*d*d)\/d)*d**0*d))**(-19) assuming d is positive.\nAnswer: d**(8873\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let n = 530879\/347508 + 1\/9653. Let i = n - 7\/4. Put 0.1, q, i, -3 in descending order.\nAnswer: 0.1, i, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Let k(v) = 58*v**3 - 2*v**2 - 4*v + 4. Let w be k(h). What is w rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -21 - 9 + 4*a - 17. Let u be 0*2\/(-4) + 16. Is 3 a factor of q(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684947503?\nAnswer: 684947503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 606, 609, 612, 615?\n\"Answer: 3*d + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8340496, 8340495, 8340494?\nAnswer: 8340493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**3 + 6*y**2 + 6*y + 3. Let r(l) = -6*l**3 - l**2 - 9*l + 2. Let q(h) = -h**2 + h - 1. Let v(t) = 4*q(t) + r(t). What is -6*v(d) - 5*w(d)?\nAnswer: d**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 2 i when four letters picked without replacement from {p: 1, z: 6, i: 7}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 + 2*p**2 - 124.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - 5*w + 1. Let z be ((-1360)\/238 + (-2)\/7)\/(-2). What is u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1472702479*w**3 - 1209562200*w wrt w.\nAnswer: 8836214874*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -54472.9 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200 (base 3) to base 2.\nAnswer: 1001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**3 + 29*i**2 - 5*i + 39. Give w(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 9*q - 10. Let n be r(8). Let t be ((-2 + 6)\/(-4))\/(n\/606). Let l = t + -150. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 3:50 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 56*z**2 - 374*z + 120. Determine x(62).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1302034 + 1?\nAnswer: 1302035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.0238 take away -1?\nAnswer: 53.0238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + 14102?\nAnswer: 14121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55308)\/8799 - 271\/7.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose -9 = -m*v - 3. Let r = -5 + 6. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/2 - 395459*o**2\/2 - 7908799*o\/2 - 7513341\/2 = 0?\nAnswer: -395439, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 3*r**2 - 2*r - 23. Let f be s(-4). Let o be f*3 + (-3 - (8 - 9)). Put 2\/11, 2\/21, o in decreasing order.\nAnswer: o, 2\/11, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*w + 300*w + 301*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -128, -281, -508, -815, -1208?\n\"Answer: -f**3 - 28*f**2 + 6*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 15. Suppose 2 = 20*y - 22*y. Let u(g) = -1. Let o(a) = y*c(a) + 6*u(a). Differentiate o(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + -3 - (-6 - -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15.0597. Let o = -45.84 + 45.78341. Let a = q + o. What is a rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x**2 + 1059*x + 1689. Calculate v(83).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -334, 17, 109, 1 in ascending order.\nAnswer: -334, 1, 17, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-8)*1352\/507?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -3, -0.13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 5*l + 2*z, -4*z - 6 = 2*l. Let j(k) = 7*k**2 - 4 + 5*k**2 - l - 3*k**2. Let o = -7 - 0. Let d(u) = -4*u**2 + 3. What is o*d(m) - 3*j(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 11. Suppose 0 = -5*x - 4*q - 74, -30 = 2*x - q + 3*q. List the prime factors of j(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 11148159.58?\nAnswer: -11148159.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 4*n - 5*l, -5*n + 46 = 4*l + 200. Let u = -28 - n. Find the second derivative of u*r - 7 + 7 - 6*r**2 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46070 is divided by 42982?\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 70 = -4*r, 26*r - 38 = 24*r + v. Suppose -u = 3*u + 576. Let c = u + 224. Calculate the highest common divisor of c and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 303\/27 - (-24)\/(-108). Let c(i) = -i**2 - 8*i - 7. Let l be c(-6). Solve -2*d - z - 6 = -5*m, -l*d - 3*m = -35 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13911 + -13914. Sort 499, p, 3\/11 in decreasing order.\nAnswer: 499, 3\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73496\/192927*(1 + (-2)\/8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/16)\/(-1 - 52\/(-40)). Solve 0 = 2*a - 4*b + b, y*a - b - 13 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3288425 to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 8\/3*s**3 - 1\/6*s**6 + 2\/7*s**7 - 15*s - 3\/4*s**4 + 0 + 2*s**2 - 19\/10*s**5. Solve b(u) = 0.\nAnswer: -1, -1\/4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 0.01918.\nAnswer: 0.28082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -569 or 2726?\nAnswer: -569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(2\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-2)*(442\/51)\/26.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3 + 5. Let t be 8\/2 - v*1. What is the nearest to 1 in 3\/2, t, 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2102612 and 24.\nAnswer: 12615672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyyvvr. What is prob of sequence fyv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 48 + (-5 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -159 * 27333.\nAnswer: -4345947","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 1464\/11 + -133. Suppose -3*l + 6 = 0, -4*j + 2*l = -0*l + 20. Which is the second biggest value? (a) -1 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10))**(2\/17)*(d*d**(-2\/45))\/d**(3\/5) assuming d is positive.\nAnswer: d**(-628\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3387194783?\nAnswer: 7, 1877, 257797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90113783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*((sqrt(1008) - (sqrt(1008) - (4*sqrt(1008) + sqrt(1008))*5 - sqrt(1008)) - sqrt(1008)) + -1 + 4 + sqrt(1008)) + 0)**2.\nAnswer: 31200*sqrt(7) + 17035300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 5*j - 3. Let y be o(-3). Let a(k) = -4*k**2 + 2*k - 64*k**3 + 67*k**3 - 2*k. Let d be a(y). Solve 3*x + 6*c = 3*c, -d = -4*x + 5*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - 2) + -4 - (465 + -397)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -41, -4111 in descending order.\nAnswer: 5, 2, -41, -4111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*234\/78?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-4)\/38) + -1 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 4. Let w be q(4). Let n = w + -5. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/47? (a) 101 (b) 3 (c) 0.3 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 88299569434?\nAnswer: 88299569434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 0.42. Let z = 636.67 - 636. Let j = z + m. Is j less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((8\/(-10))\/((-30)\/(-75))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8555 is divided by 1222.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffk when three letters picked without replacement from {f: 7, k: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67317 + -11837. What are the prime factors of x?\nAnswer: 2, 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 6*g**2 - 2*g + 3. Calculate a(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303011 = -49*q + 1659772. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44011, -0.4, 176 in decreasing order.\nAnswer: 44011, 176, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1894.239 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 449, 885, 1329, 1775, 2217, 2649, 3065?\n\"Answer: -g**3 + 10*g**2 + 413*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 11) to base 12\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-6 + (-7 - -17)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (9 - 6)) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20114 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9650 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498*q - 1148208 = 479*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40757601.\nAnswer: 3, 47, 79, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 + (415327\/33)\/17. Suppose -19956 + b = -15*s. List the prime factors of s.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrrl when four letters picked without replacement from llrlllllr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 6*j**2 - 9*j - 2. Calculate r(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 188, 477, 1142, 2327, 4176, 6833?\n\"Answer: 24*s**3 + 44*s**2 - 11*s + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -131. Solve -3*h + 5 - s = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17*c - 8*c**2 + 14*c**2 - c**3 + 2 - 11*c. Give a(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 - 59642*n + 59642*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49, 98, 159, 238, 341?\n\"Answer: m**3 + 42*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -149, -567, -1257, -2219, -3453, -4959, -6737?\n\"Answer: -136*v**2 - 10*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-3) + (-6)\/3. Let x = -6 + t. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531425 is divided by 2255?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7\/v*v**15*v*v*v*(v**12*v)**(-1\/7) assuming v is positive.\nAnswer: v**(155\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 4. Let u be z(-6). Let l(n) = -u*n**2 - n + n. Let v(h) = 8*h - 6. Let j(a) = -18*a + 14. Let f(b) = -3*j(b) - 7*v(b). Calculate l(f(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2a3 (base 11) to base 5\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 19 = 9. Solve 4*m - 2*m = f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -20*z**2 - 2375*z - 1849. Calculate c(-118).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4977 + -2098. What is the remainder when k is divided by 288?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9759 + -6912. Calculate the highest common divisor of f and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0)*(-4 + (-85)\/(-20)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 28 - -5) + 29 + -5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*s**6 - 10*s**6 + 16*s**6 - 4*s**2 wrt s.\nAnswer: -3720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16682 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.96 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 723252*g**2 - g - 1438293 wrt g.\nAnswer: 1446504*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**5 - 112*z**4 - 296*z**3 + 112*z**2 + 300*z = 0.\nAnswer: -25, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7952*r**2. Let z(o) be the first derivative of 3*o**2\/2 + 8397. Determine z(d(m)).\nAnswer: -23856*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 9:48 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q - 4. Determine l(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m + 239. List the prime factors of a(13).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -25*o. Let v(t) be the second derivative of t**3\/2 + 2*t + 25. Give v(c(r)).\nAnswer: -75*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*a - 336 = 65*a. Suppose 5*u + 2*u = -a. Let m be 8\/u + ((-56)\/(-12) - -1). Solve -4*y = -4*q, y - m*q = -0*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4732 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -587198.1 + 587171.999711. Let m = -26.1 - j. Round m to 5 dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = x - 20, 2*x + 3*k = -2*x + 54. What is the remainder when x is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*0\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 54*d**2 + 54*d**2 + 55*d**2 - 165*d**2. Let t(o) = 22*o**2. Calculate t(j(x)).\nAnswer: 88*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/13 + 10\/13*j**2 - 14\/13*j = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**3 + a**2 + a + 1. Let x be z(-3). Let s = -1109 - -1220. Let i = x - s. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f. Let c(q) be the second derivative of q**6\/360 - 7*q**3\/6 - 5*q. Let b(m) be the second derivative of c(m). Give l(b(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -134001.478 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**6 - 61*w**5 - 278*w**3 - 253054*w**2 wrt w?\nAnswer: 120*w**3 - 3660*w**2 - 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*d - 5*d - 30 = 0, 5*i + 4*d = -27. Let y(u) = 21*u**3 - 7*u**2. Let t(r) = 11*r**3 - 3*r**2. Give i*t(v) + 3*y(v).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 93187?\nAnswer: 372748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 29 + 107. What is the greatest common factor of 34 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 + 5*d**2\/2 - 2*d - 1. Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m - 24 = 0. Let n be ((-12)\/(-10))\/(17\/85). Suppose -g = -f + 4, m = -2*f + 3*g - n*g. Solve f = -3*v - v + 8, -12 = 3*z - 3*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*d + 6. Let q = 551 + -383. Suppose -d*a = -5*a - 3*p + q, p = 2*a - 121. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7\/3)\/b*b**0*(b\/b**(-1\/3))\/(b**(-4\/11)\/b) assuming b is positive.\nAnswer: b**(-7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, 0.0955, -0.2, 2?\nAnswer: 0.0955","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-5\/3))*y\/((y\/(y\/y**(-5)*y))\/y))**(-49) assuming y is positive.\nAnswer: y**(-931\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/7)\/(234\/(-819))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (8 + -25 + 33 + 18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*d + 137*d - 64 + 64.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:52 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 8. Let i be l(7). Let f(u) = 0 - i*u + 4 + 6*u + 2*u. Let j(z) = -z - 2. Let m be 1*-1*2*-1. What is m*f(k) + 5*j(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 12. Let f be z(11). Let t(q) be the first derivative of -5*q**2 - 2*q**2 + 0*q**2 + 2*q**2 - 2. Determine t(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20311 - 300321012?\nAnswer: -300300101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose 3*h + x - 53 = 0, -87 = -5*h + 3*x - 8. Put w, 5, h in ascending order.\nAnswer: w, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s. What is l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 30903249295?\nAnswer: -30903249294.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 3211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 4*(-4)\/(-8). Let u be 6\/9 - (-8)\/z. What is the tens digit of 656\/22 + u\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 82, -47, 290, -3.\nAnswer: -47, -3, 18, 82, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 9*g**2 - 17*g + 14. Let n(b) = 5 + 6*b**2 + 4*b**2 + 4 - 2*b - 6. Let q be n(1). What is the remainder when m(q) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/30060 and -1\/410820?\nAnswer: 1232460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0074 (base 16) to base 5.\nAnswer: -141033022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1116655.5 to the nearest 1000.\nAnswer: -1117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*u - 4*c - 28, 4 = -4*u + 4*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158c383 + 5?\nAnswer: -158c37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 65 + 162\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.041 and -192602.\nAnswer: 7896.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a millisecond in microseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3 = -2, -7 = p + 5*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Let w = a - 1. Suppose -5*g - w*k = -1253, -3*k + 0*k - 771 = -3*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**6)**(-4\/33))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 + 105*f**2 + 350*f + 240 = 0. Calculate f.\nAnswer: -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10\/19, -98, -4, 9, 0.2, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -23*k - 30. Let s(x) = -6*x - 8. Let t(f) = 6*l(f) - 22*s(f). Find the first derivative of t(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:13 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 15, 1\/4 in descending order.\nAnswer: 15, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8 = 4*j, 0 = -4*j + d + d + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k**3 - 11*k**3 + 3*k + 8*k + k**4 + 3*k**2 + 0*k**4 + 5*k**3 to the form y*k**2 + s*k + d + j*k**3 + g*k**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131528977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-9228297)\/(-867) + 2\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/1560 and 35\/3432.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 3*g = 81. Let i = -12 - -11. Sort g, -5, i, 4 in increasing order.\nAnswer: -5, i, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11114912, 0.\nAnswer: 0, 3, 11114912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -432 divided by 48\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - ((-4 - -3) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1\/2)*o))\/o)**(-7)\/(((o\/o**(-3\/2))\/o)\/(o**4\/o))*(o\/(o**(5\/2)*o*o))\/o*(o*o\/(o**(2\/15)\/o*o))\/o*o**7*o*o*o**(-1\/4)\/o assuming o is positive.\nAnswer: o**(547\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1008\/(-441)*2*7\/4*-6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c86 (base 13) to base 5.\nAnswer: -114320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1160*u**4 + 4551*u**3 - u**2 - u + 34695514.\nAnswer: -13920*u**2 + 27306*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 120300 and -8.\nAnswer: -962400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 3*t, 2*t - 3 = -3*k + 1. Suppose -2*v = 5*a - 200, 0 = -t*a + 10 - 0. Calculate the remainder when v is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.894 - 6.994. Let n = 0.05 - 2.05. Which is the nearest to v? (a) -0.5 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n - 1. Suppose v + 3 = 2*a + 4, 2*a = -2. Let i be d(v). Is i less than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 8*i**5\/3 - 5290*i**4\/3 + 609986*i**3\/3 + 6531202*i**2\/3 - 8957594*i\/3 + 1821688\/3 = 0.\nAnswer: -11, 1\/4, 1, 163, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341347 is divided by 8123?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) - (sqrt(550) + -5*sqrt(550)))\/sqrt(10))\/sqrt(5).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54.75 and -529.7?\nAnswer: -29001.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/4 + 9*g**4\/4 - 3*g**3\/4 - 29*g**2\/4 - 9*g\/2 = 0. Calculate g.\nAnswer: -9, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47139 or -47151?\nAnswer: -47151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84552387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p + 1346. What is the thousands digit of x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33108 + a**3 - 33108.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82.36 + 80. Let t = -2.2 - d. Let u = t - -2.04. What is u rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 4. Suppose 7*s - 2*s = -55. Let j be c(s). Let o = -411 - -753. What is the highest common factor of j and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*u + 0 = -14, -2*y = 5*u - 31 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 + d**2 + 3*d - 10. Let q(v) = 6*v**3 + 4*v - 11. Let h(j) = 4*q(j) - 5*w(j). Suppose u - 20 = 5*u. Let z be h(u). Is 1\/11 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3460)\/(-32) + (-5)\/40. Let c = r + 24. Calculate the greatest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 154*b**2 - 6 + 10.\nAnswer: 154*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -97. Let t = 215 - 223. What is the closest to 1 in t, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 p, and 1 t when four letters picked without replacement from {h: 2, q: 3, p: 2, v: 1, s: 1, t: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 12. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944609933?\nAnswer: 3, 7, 13228639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 8*b**2 - 4*b - 6. Let s be d(6). Let a = s - 46. Which is smaller: -6 or a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 - 166*z**4 + 2958*z**3 - 7426*z**2 - 640*z + 9912 = 0. What is z?\nAnswer: -1, 2, 21, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 11*q - 7. Let a be i(9). Solve -a = 2*d - n, d - 25 = -4*n - 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -4*f**3\/3 + 2*f**2 + 10*f. Let i(c) = -7 + 2 + 23*c - 6. Let j(m) = -3*i(m) - 8*w(m). Give j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -28?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*t**4 + 216*t**2 + 2*t**3 - 216*t**2 + 93*t**4 - 152 wrt t.\nAnswer: 428*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10 or -1190?\nAnswer: -1190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119429289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(2*(-2*sqrt(110) + sqrt(110)) - sqrt(110)))\/(4*(1*sqrt(110))\/sqrt(11)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-8)*4 - -9. What is the smallest value in 0.2, n, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 4*t**3 + 4*t**3 + (-65 + 16 - 24)*(-3*t - 4 + 4)*(-4*t**2 + t**2 + t**2).\nAnswer: -437*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*(-52)\/2496*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837113 divided by 642.\nAnswer: 837113\/642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d69e9 (base 16) in base 2?\nAnswer: 11010110100111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 2\/9 (b) -2\/3 (c) 1.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1026069, 1026108, 1026147, 1026186?\n\"Answer: 39*v + 1026030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 4*d = -165*w + 74*w + 81*w - 65, 44 = -7*w + 4*d for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, b: 1, d: 3}. What is prob of picking 1 b and 1 a?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2841447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 536 and 2278?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 38481536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -s + 29, 73 = -5*s + 4*u + 102. Is s bigger than -270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkkx when four letters picked without replacement from xkjkkjxjxkvklkxk.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727014 is divided by 272.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 3*h + 5. Let u(k) = -15*k**2 - 1. Let g be u(1). Let a = -7 - g. What is the remainder when a is divided by y(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -512380 by -6028.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 65*l**4 + 29*l**4 + 3*l + 37*l**4 + 2*l**4 + 2*l**4 - 3*l**4 + (-l + 2*l - 3*l)*(0*l - 2*l**3 + 0*l).\nAnswer: 6*l**4 - 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(44)*-2.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0, 1.\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2358827934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -29. Let m = i - -17. Suppose w + w + 8 = 2*g, 5*g + m*w = 0. Solve -g*t - 4 = n, 2*t - 5 = 5*n + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/4 + 2063*k**4\/2 + 8191*k**3\/4 - 117583*k**2\/2 - 100940*k + 404152 = 0 for k.\nAnswer: -4124, -7, -4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -28. Let j be (w\/(-1) - -1)\/1. Suppose 2*i - 7*i - 2*o = -175, 5*o = 25. Calculate the highest common factor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26626, -5, -1298, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -3785666 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21*h**2 + 24*h + 11*h - 277 + h**3 + 333. What are the prime factors of f(21)?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 - 69483?\nAnswer: -69532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 16*w = -31*w + 2*l - 7*l - 37, 70 = 7*w - 14*l - 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -98 in descending order.\nAnswer: 10, 2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(-124)\/(-217)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggggsgggsssgsgsss. What is prob of picking 2 s?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2776 (base 8) to base 5.\nAnswer: 22114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864893.\nAnswer: 167, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) -225 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + 255\/(-65))\/(1\/(-14))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273020 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/7 - 18*o**2\/7 - 45*o\/7 - 24\/7.\nAnswer: 3*(o - 8)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-80))\/((-3)\/24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5248221, 3 in ascending order.\nAnswer: 2, 3, 5248221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -4, -0.2, 4, -0.1, 51\/58?\nAnswer: 51\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-24)*(-1296)\/252*46\/(-8)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -40.9. Let v = -0.9 - 0.1. Which is the nearest to w? (a) 0.4 (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -178, -181, -184?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 + b**2 - 2*b + 2. Calculate j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 - 6. Let n be (-2 + -2 - (-70)\/15)\/(-1). Which is the nearest to -1? (a) n (b) i (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-20 - -11)) + -3 + -60 + -2 + 9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2381138 micrometers to nanometers.\nAnswer: 238.1138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -697 - -762. What is the smallest common multiple of 10 and f?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 22*l**2 - 16*l - 17. Let y be j(-21). Let x = 219 + y. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/7, -3\/5, -3, 17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6543 - 976270?\nAnswer: -982813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 71*m + 112 = 0. Solve 2*h = -0 + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0)**43*(v**5\/v*v)\/v**(-2) assuming v is positive.\nAnswer: v**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - (-54)\/(-105). Let b = 4.1 + -1.1. Let w be (3\/(-2))\/((-12)\/2). What is the closest to b in a, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53297, 106713, 160117, 213503, 266865, 320197, 373493?\nAnswer: 426747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by -91\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/5, 1877 in increasing order.\nAnswer: -2, -2\/5, 1877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8 - 12*y + 4*y - 2. What are the prime factors of s(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 5*u = 9, -4 = -2*j - 7*u + 7 - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 - 3. Let h(a) = 15*a - 11. Let u be h(5). Let p be u\/(-16)*(-14)\/(-8). Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 14) + -4 + -23?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z - 2654 + 980 = 0. Suppose 56*r = z*r + 382. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/7 (b) -15\/3692 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + s**4 + 2*s - 6 - 8 to x*s**3 + v*s**4 + a + u*s + f*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208*r**4 - 17253*r**2 + 3823 + 8626*r**2 + 8634*r**2 wrt r.\nAnswer: 832*r**3 + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -1\/59, 1, -1?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (415\/210*4 + 20\/(-35))*14148\/(-1048)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(1 + -1 + sqrt(11))*-6)**2.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114471.\nAnswer: 3, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*x**2\/8 - 127559631*x\/8 - 25511925\/4.\nAnswer: -3*(x + 8503975)*(5*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1674133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87293\/9 + -9699. What is the second smallest value in n, -1, 0.361, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 5*j**2 - 12*j + 5. Give d(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 8*k**2 + 10*k - 6. Give i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 - (2 - (-1 - -8) - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 8*u**2 - 2*u - 3. Let c be z(-4). Suppose c*w - 3600 = -5*l, -2*w - 1825 = -5*l + 1796. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/16 and 61\/56556.\nAnswer: 226224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218005384 to the nearest integer?\nAnswer: 14765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1315512 and 5436?\nAnswer: 1315512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -108. Let r = l - 47. What is the nearest to r in 1\/2, -1, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -176009.1 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/((-6)\/(-104)). Suppose 88*o - 24*o = 256. Find the common denominator of o\/(-18) - c\/4 and -3\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i - 37*i + 22*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133*d*f - 75*d - 22055*f wrt d?\nAnswer: -133*f - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -61, -9, -5 in increasing order.\nAnswer: -61, -9, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from hzhhhhzzhhhzzhhhhz.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/8, -1\/4, -5, 260 in ascending order.\nAnswer: -5, -1\/4, -1\/8, 0.4, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 8*x**2 + x - 8. Let j be t(8). Let b = 2\/11 + j. Let q = -0.4 - -0.5. Sort b, q, -0.3 in increasing order.\nAnswer: -0.3, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -106, -127, -148, -169?\n\"Answer: -21*k - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.9235+-3598170126\nAnswer: -3598170125.0765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -37*g**5\/60 - 23*g**2. Let m(s) = 2*s. Determine m(k(i)).\nAnswer: -74*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**2 + 396266988*j - 13085627148216012 = 0.\nAnswer: 66044498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhoukoohhkh. Give prob of sequence oo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68768*r**5 + 346*r**2 + 2*r + 6 wrt r?\nAnswer: 4126080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -331*(1\/(-2) + (-5)\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1771*r**3 + 1769*r**3 - 2 + 2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 11*j**2 + 10*j + 2. Let l be n(10). Suppose 2*c - 45 = 5*k - 19, -l*c + k = -10. Solve 0 = -5*q + c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 15*p**2 + 15*p - 10. Let l = -78 + 92. Let h be w(l). Solve -h*d - 9 = 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/940 and 23\/50?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*n**2*y**4 - 7*n**2*y + 6*n*y**5 + 3*n*y**2 + 2*n wrt y.\nAnswer: 1032*n**2*y + 360*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000100001100 (base 2) to base 11.\nAnswer: 31064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6\/5))**43\/(s**1)**(-18\/13))**50 assuming s is positive.\nAnswer: s**(-32640\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 6*s + 3*s + 18 = -11*v, -45 = -5*v - 3*s for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 - 364 + 306 = -7*s for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7312643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783756105 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 142244, 284497, 426750, 569003, 711256, 853509?\n\"Answer: 142253*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 41.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50002.87ug?\nAnswer: 50002870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546 and 741?\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l + 0)*(-80*l + 95*l - 261 - 14*l).\nAnswer: 2*l**2 - 522*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6*x = -144. Solve 0*r - 4*r = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 3 - 5 + 10*j - 3 + 7*j**2 - 2. Let k be f(8). Solve -3*r + o + 3 = -7, k*o = 2*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.66888*-1.\nAnswer: -3.66888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 380964.5 centuries?\nAnswer: 457157400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 3\/13, 10, 14.5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 35. Let m(k) be the second derivative of 0*k**3 + 1\/4*k**4 + 3*k + 1\/15*k**6 + 0*k**u + 0 + 0*k**2. What is the third derivative of m(i) wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)\/(o*o\/((o\/o**6)\/o)))\/(o*o**2*o*(o*o*o*o*o*o**(-1\/10)*o*o)\/o))\/((o**(-6)\/(o*o**(-2\/11)))\/(o**(1\/8)\/(o\/(o*o**(2\/9))))) assuming o is positive.\nAnswer: o**(-8977\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19942 + -8114. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 910 by -10.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*n**2 - 2*d*n**2*o - 2*d*o**2 + 26*n**2 + n*o**2 + 3*n*o with respect to d.\nAnswer: -4*d*n**2 - 2*n**2*o - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -2\/15, -79624, -0.5 in increasing order.\nAnswer: -79624, -0.5, -2\/15, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxqqqqxxqqxqxqqqqq. Give prob of picking 2 x.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*i**4 - 8797*f*i**2 + 2*f*i + 10293*f with respect to i.\nAnswer: -8*f*i**3 - 17594*f*i + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(85)*1 - sqrt(85)*2*5)\/(sqrt(720)*2))**2.\nAnswer: 2873\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 18 - 3*c - 18)*(123*c - 62*c - 108*c).\nAnswer: 47*c**3 + 141*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 732621 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*j + 5*j - j)*(1 - 13 - 27)*(0 + 3 - 1)*(-8*j + 3*j - 3*j - 1).\nAnswer: -1248*j**2 + 468*j + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/42)\/((-103)\/(-309))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*(h*h**(-6)*h*h*h*h)\/h*h)*h*h**4 assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 882701 rounded to the nearest one thousand?\nAnswer: 883000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 136648*q\/7 - 2744160\/7.\nAnswer: 4*(q - 20)*(7*q + 34302)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 266710.1225189 - 35710.4225193. Let s = -231000 + a. Let m = s - -0.3. What is m rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -314 - -345. Calculate the remainder when 61 is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:37 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 21. Suppose 3*b - 75 + 15 = 5*m, 65 = -5*m + 2*b. Let h be l(m). Let j = h - -9. Solve -j*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 36\/(-8)*2\/(-3). Suppose 5*w + i*b - 105 + 1 = 0, 5*w + 5*b = 105. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 7*f + 5. Let g be h(6). Let p be g + 5 + -1 + -37. Which is smaller: -32 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2017 - 2148. Is -131 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(3 - 2 - 3)*(-3 - 2 + 2)*(-245 + 245 - 14*a) to the form h + i*a and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.76612 to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 19*g**2 - 2*g - 1. Let z be r(-1). Suppose -2*q = -5*b - 44, 0 = -3*q - 4*b + 16 + 4. Let k = z - q. What is the lowest common multiple of k and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**4 - 19918*z**3 - 11*z**2 - 11713978.\nAnswer: 4*z**3 - 59754*z**2 - 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101870616*d**2 + 22*d - 750570 wrt d.\nAnswer: 203741232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 7811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/33277?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364690 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -5125.9216?\nAnswer: -5121.9216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 21 = -h, 3*h + 2*d + 11 = -0*h. Let w be ((-12)\/(-34))\/(-1)*5. Let s = w + 257\/136. Which is greater: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -12*a + 10. Let w(g) = 5*g - g - 1 - 3*g. Let q(b) = 2*o(b) + 20*w(b). Let r(i) = i. Calculate q(r(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxpippipiixpp. What is prob of picking 2 i and 1 x?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q - 3*q - 3*q**2 - q**3 - 6 + 2*q**2 - 7*q**2. List the prime factors of d(-7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-3)\/6 - -2. Suppose -4*j = -3*j - s. Suppose 4*g - j*g - 887 = -4*z, 5*z - 2*g = 1105. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + -0.36. Let g be -1 + 0 + (6 - 3). Suppose 0*h + 6 = -g*h. Which is the smallest value? (a) 0.5 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 3732*t - 27 = 3730*t, 5*q - 3*t = -13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/23)*v*v*v**(7\/4)*v*v*(v**(-18\/11)\/v)\/v*v\/v**(6\/11) assuming v is positive.\nAnswer: v**(2687\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-5*sqrt(45) + sqrt(5)) + -5.\nAnswer: -5 - sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 196.57 * 1402\nAnswer: 275591.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Let u = n - 2. Put -1, 0, u in decreasing order.\nAnswer: 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/9*357\/14 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 660.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-120)*(-20)\/6\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/19))**(-43) assuming w is positive.\nAnswer: w**(-86\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 369, -5, 0, -1\/8, 4\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30)\/(6\/(-30))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 l, and 1 k when four letters picked without replacement from {k: 2, z: 5, l: 2, m: 8}?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3326 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 222, 810, 1972, 3900, 6786, 10822, 16200?\n\"Answer: 32*f**3 - f**2 - 15*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 69 = 61, -28 = 3*f - 8*q for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 806 - 802 - 2*p - p. Determine r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -404*j - 352*j + 57*j in the form x*j + f and give x.\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**38\/(u\/(u\/u**0))**(-2) assuming u is positive.\nAnswer: u**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 6 + 1 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 less than 754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16028431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -37, -71, -103, -127, -137, -127?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 26*y**2 - 3*y + 2. Suppose 4*m + 0 = 4. Let z be x(m). Suppose 4*a + 0*o - 12 = 4*o, 3*a = o + 13. Calculate the greatest common factor of a and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16566691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*l, -2*i - 34 = 3*l - 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 10:56 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-42) + 2\/7. Let z = 2.8 + -3. What is the nearest to j in 3, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 1, e: 1, o: 1, y: 2, w: 2}. What is prob of picking 1 m and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 129. Solve 19*o = p*o - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 8553.9\nAnswer: 8560.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 21*d. Let m be h(7). Suppose -4*g = 3*c - 3*g + 126296, 2*c + 2*g + 84192 = m. Round c to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(2\/31)))\/c**(-19))\/((c**7\/c)\/(c*c*(c*c*c**(2\/71))\/c)) assuming c is positive.\nAnswer: c**(35136\/2201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 12*b - 4. Let u(y) = -y**2 - y - 1. Let n(d) = 20*d**2 + 25*d + 25. Let a(r) = b*n(r) + 25*u(r). Let q(p) = p + 2*p - p. Determine a(q(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5488*y + 37059*y + 6 + 15 + 7155*y.\nAnswer: 49702*y + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 + p + 1. Let o(q) = 8*q**3 + 6*q**2 - 11*q - 6. Give 6*i(u) + o(u).\nAnswer: 2*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92713 (base 11) to base 5.\nAnswer: 13312132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -60*k + 44. Let d(i) = 4*i - 3. Give 6*a(h) + 88*d(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/(-22) + 6\/33. Suppose -4*g - 5*q - 63015 = -3*g, -5*g + z*q - 314991 = 0. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*l**2 - 168*l**2 + 407*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/38, 0.2, -2\/17, 100\/13, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50616000 rounded to the nearest one million?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Differentiate r*i - 9*i + 4*i + 7 with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.08806 rounded to one decimal place?\nAnswer: -128.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 38 = -47. Factor -7*v**4 + 7*v**5 - 8*v**2 - 4*v**2 - 2*v**5 - 16*v**3 - f*v**5 - v**5.\nAnswer: -v**2*(v + 2)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -21 - ((-2)\/2 + -3). Let r(n) = -n**3 - 18*n**2 - 20*n + 36. List the prime factors of r(l).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80244, 80257, 80286, 80337, 80416, 80529?\nAnswer: 80682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -49. Let l(n) = 13*n - 74. Suppose -2*m = 10, -45 = -5*x + 4*m - m. Let p be l(x). Solve 0 = z - j - 0*j + p, 4*j + 12 = -v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.44*-134\nAnswer: -326.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6892*j**4 - 2*j**3 - 142459 wrt j?\nAnswer: -27568*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -275?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - 2*b**3 - b**3 + (-1 + 1 - b**3)*(-3 + 3 - 2) + 5*b**3 - b**3 + 3*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, p: 1, n: 2}. Give prob of sequence pn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/4 + 2*g**2 - 12*g - 94. Does 28 divide v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfwwwwwwfwfwwwww. What is prob of picking 2 w?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*39*(-18)\/(-108)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/(((-42)\/(-35))\/((-12)\/60)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 19*k**7\/210 + 31*k**5\/60 - 33*k**2. Find the third derivative of u(a) wrt a.\nAnswer: 456*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-28)*21*(-10)\/(-35). Put -1.155, 2\/5, b in descending order.\nAnswer: b, 2\/5, -1.155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -10, 1, 2 in increasing order.\nAnswer: -25, -10, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 4733.\nAnswer: -3, 20, 4733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 10*l**2 - 12*l + 5. Let n be t(11). Suppose 0 = -200*d + 202*d - 10. Put -1, 4, d, n in descending order.\nAnswer: d, 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7585 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4188 = 1736. List the prime factors of c.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -3, 16.\nAnswer: -6, -3, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-936)\/(15 - -3)*(-6)\/(-12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*d + 1 + (-d + 2 - 2)*(-2 + 3 + 1) + 3*d - 3*d - 2*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 1014*a**2 + 14049*a - 49000.\nAnswer: (a - 1000)*(a - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 90 = 8*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76836, 77363, 77890, 78417, 78944?\n\"Answer: 527*t + 76309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12650 - -4?\nAnswer: -12643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-2 + 5 + 4)*(-u**4 + 0 + 0 + (u**3 - 4*u**3 + u**3)*(-5*u + 1 - 1)).\nAnswer: -63*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(490\/728) + 11\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:12 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 25*v - 6*v. Suppose -v = -7*f + 10. Solve f*t + 5 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1) + (-30 - -47)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/(k*k\/((k\/(k*k\/k**(-8)))\/k))))**(9\/5) assuming k is positive.\nAnswer: k**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p**3 - 19*p**2 - 14*p + 26. Let s be r(-12). Let j = -663283\/45 + s. Calculate the common denominator of j and 61\/33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -3*w**4\/4 + 10*w**3 - 81*w**2\/2 + 54*w + 2276. Solve s(i) = 0 for i.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(102)*1)\/sqrt(2) - sqrt(51)))\/((sqrt(432) - (sqrt(432)*-2 - sqrt(432)))*6) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:21 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -5*z - 45, 4*z - g + 34 + 6 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 380981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/13)\/(p\/((p*p*p\/p**21)\/p)))**(-1\/59) assuming p is positive.\nAnswer: p**(265\/767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r - 3. Let o(j) = -2*j**2 + 1. Let i be o(1). Let z be (-2 + 1 - 1) + i. Let y be g(z). What is the biggest value in 1, y, -2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(133) - sqrt(133))\/sqrt(7)*-4)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + 1465*f**2 + 1465*f**2 + 3*f - 3*f + 2 - 2937*f**2 in the form q*f**3 + n + u*f**2 + z*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vel when three letters picked without replacement from {d: 6, p: 5, l: 1, e: 1, v: 2, x: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p + 74*p = -7*q + 36, -4*q - 2*p + 30 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4\/9 (c) 1\/4 (d) 22 (e) 3.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 - 111054*t\/7 - 111056\/7.\nAnswer: 2*(t - 55528)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3*s**4\/4 + 2*s**3\/3 - s**2 - 2*s + 141. Let d(u) = 7*u**3 + 5*u**2 - 5*u - 5. Calculate 6*d(h) - 15*g(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 29*c + 48. Let t be v(-2). Sort 4, 2, 20, t in increasing order.\nAnswer: t, 2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410285748?\nAnswer: 2, 3, 37, 47, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.82761 rounded to one dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**5\/105 + 53*h**4\/21 - 5618*h**3\/21 - 188*h**2. What is u in c(u) = 0?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12549.7 - 12551. What is the third biggest value in -1\/7, -1, 2\/3, a, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**3\/3 - d**2 - 2*d - 2. Let n be c(4). What is the units digit of (-5)\/((-5)\/n) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3023, 3, 4 in decreasing order.\nAnswer: 4, 3, -3023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -420*a**4 - 2*a**3 + 952*a**2.\nAnswer: -10080*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/9)\/(4\/(-36)). Suppose 2 = -u + 5*u + 2*m, -u - 7 = b*m. Solve 0 = -3*o - u*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3008*p + 3009. Determine h(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d - -1c4?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + b + 1)*(47 + 81 + 43).\nAnswer: 171*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-25 - (-22 - -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233 + -111. Let b = h + 254. Suppose 4*y - b - 480 = 0. List the prime factors of y.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 28 = 3*v, 4*v - 6 = -2*b. Suppose 2*c - c - 5 = 0. Solve 2*u + c*n + 20 = -b, -3*u + 5*n = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -174974823.\nAnswer: 1\/58324941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13940 - 13948. Let q(t) = -t**2 - 2*t + 31. What is q(r)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914\/(-319)*(-52)\/(-24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*g + 65, -4*g + 20 = 3*x - 28. Calculate the smallest common multiple of x and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -9*m + 6*m. Suppose -q = 5*p - 10*p + 71, 120 = -2*q - p. Let g = q + m. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16188*h**2 + 16093*h**2 - 32696*h**2 + h - h.\nAnswer: -415*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146.65 - -43.3583. Let f = 190 - d. Round f to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 65975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, q: 1, u: 2, t: 4, g: 6}. What is prob of picking 1 t and 1 g?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -7 - 13. Suppose 0 = 2*c + 5*l + 1, 2*c + l = -3*c + 9. Suppose r - 6 = -c*r. Sort 1, r, u in decreasing order.\nAnswer: u, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23690 and 0.0962.\nAnswer: -23689.9038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 2. Let x(s) = s. Let k = 461 - 462. Give k*p(u) + 4*x(u).\nAnswer: 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*n + 237*n - 4327 + 121 = 1890 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from {g: 4, a: 2, z: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/36*4*0. Suppose -j + 2*j = n. Solve 4*w + k = -17, 3*w + j = 3*k - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/70587 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 110122 (base 4) to base 16\nAnswer: 51a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.41 + 3.41. Let u be (((-8)\/9)\/4)\/(-2). Suppose t + 3*t = 12. What is the nearest to -0.1 in u, r, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/2 + 10103*u = 0?\nAnswer: 0, 20206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {f: 2, r: 2, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**3 + 9*v**2 - 43*v**4 - 1 + 22*v**4 + 26*v**4 wrt v.\nAnswer: 120*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 516720 and 172240.\nAnswer: 516720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1280*x - 7025. Calculate u(-8).\nAnswer: 3215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 6*i - 11*i)*(5 - 2*i**2 - 5).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from uhhhuyhhhhhhhuhuuu.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7539 + 8485. Calculate the highest common divisor of 215 and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -6)*6\/15. Let w(j) = -4*j - 2. Let m be w(a). List the prime factors of (108\/m)\/((-21)\/70).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/70 - (-435)\/35. Let y(s) = 29*s + 1. Let p be y(1). Calculate the highest common factor of p and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 112\/3 + 2\/6*2. Differentiate -s + 0*p - 7*p + 3*p**2 - 10*p + 9*p wrt p.\nAnswer: 6*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -50*y - 4. Let l be 3\/(-2) + 2\/(-4). Let x be i(l). Suppose -6*f + 24 = -4*f. What is the greatest common divisor of x and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27048 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -25. Solve b = -x + 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -125 - -120. What is the nearest to -1 in -0.6, 6\/7, -2\/7, j?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggggggvgg. What is prob of sequence gvg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 4:14 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/3 + 4994*r**3\/3 - 2081663*r**2 + 24920060*r\/3 - 24900100\/3 = 0. Calculate r.\nAnswer: 2, 2495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpf when three letters picked without replacement from fmpppppfmmpm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from nzgnvznvzgggg?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 93 = -7*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) 0.3 (c) -200\/9 (d) 1\/1443 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*u + 143437 = 362984 + 255301. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/24 - 14*g**5\/3 - 275*g**4\/2 + 3000*g**3 - 5791*g**2. Determine b, given that u(b) = 0.\nAnswer: -30, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (12 - -13) + -16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + -0.01. Let u = 2\/201 + -613\/1005. What is the smallest value in 0, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {c: 2, q: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/f**(1\/7))\/(f**(-1))**3 assuming f is positive.\nAnswer: f**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275048.9 take away 233?\nAnswer: 1274815.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mumumumuum. What is prob of sequence mmmu?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2120 (base 5) to base 16\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 take away 71.38?\nAnswer: -71.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 + 1 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 18 = -9. What is the smallest common multiple of 23\/((-207)\/(-306)) - 10 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3087 or -1?\nAnswer: -4\/3087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136900*d**5 + 259294520*d**4 + 122784364644*d**3 + 5309230496*d**2 + 57395776*d = 0 for d.\nAnswer: -947, -4\/185, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 54. Let a = t - -28. What is the third biggest value in 0.1, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/11)*v)**(39\/2)*(v\/v**7)**(2\/13) assuming v is positive.\nAnswer: v**(10383\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from dkkkkkkkkkkk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 634, 546, 452, 352, 246, 134?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*z + z**2 + 5*z**3 - 47*z to the form p*z**2 + x + g*z**3 + l*z and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/65 + 1607\/12480. Calculate the common denominator of u and 92\/(-264) - (-10)\/55.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 31, 55, 99, 169, 271, 411, 595?\n\"Answer: d**3 + d**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22120 (base 4) to base 8.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 167 = -5*v, 2*v = 5*y - 3*v + 175. Let i be y\/11 + -8 + 12. Determine p, given that -8\/11*p**2 + 4\/11 + 2\/11*p - i*p**3 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*-1*sqrt(40) - sqrt(40))\/(sqrt(8) + (sqrt(8) - (sqrt(8) + 1*(sqrt(48)\/sqrt(6) + sqrt(8)) + sqrt(8)))))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 + 2 + 4 - 4 + 1 + (4 - 2 - 1)*(-4 - 1 + 6) - 4 - 3 + 5 - 3 - 4 + 5 - 2 - 2 + 2)*(8*r + 16*r - 7*r) to the form d*r + n and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 35 = -a + 6*a, 0 = 3*k + a + 20. What are the prime factors of 6 + (2 - 6) - k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w**3 - 3*w**2 - 4*w - 2. Let x be y(-2). Suppose -2886 = 27*m + 4674. Let t = x - m. Calculate the greatest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2. Let t(r) = -36*r**2. Let p(j) = -21*i(j) - 4*t(j). Let c = 4 + -2. Let n(w) = 3*w**2 + w**c - 3*w**2. What is n(p(y))?\nAnswer: 9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3*k**4 + 171*h**3*k**3 + h**3 - 5*k wrt k?\nAnswer: 48*h**3*k**2 + 1026*h**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.475 from -124.23.\nAnswer: -130.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -100, -196, -352, -580, -892, -1300, -1816, -2452?\n\"Answer: -2*n**3 - 18*n**2 - 28*n - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -206 (base 7) to base 4\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 598380 and 1620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 387 = q - 108, -2*t + 196 = -4*q. Suppose 63*g - 12*g = 1683. Calculate the remainder when t is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-75)*530\/(-159).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10402\/(-743))\/(9*2\/(-2)))\/(-2)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1698*v + 1672*v + 5824 = 0. What is the least common multiple of v and 18?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/(x\/((((x**(4\/5)\/x*x)\/x*x)\/x)\/x*x)))\/x*x**(-2))\/(x**(-1\/2)*x)**(-4\/5) assuming x is positive.\nAnswer: x**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 70?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*h + 16, -h + 57*o - 32 = 62*o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9192 - -15044. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.94 less than -178218167244?\nAnswer: -178218167250.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 35625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25633\/3 (b) 12 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*x + 429 - 454 = 0, 22*k - x - 41 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/8, -3, 4, -3276, 2, 0?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*3\/6 + 4\/2. Solve 25 = -i*w + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83*(-8)\/(-84) + (6 - -2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {p: 1, m: 7, v: 3, f: 2, x: 2, a: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1913, 3805, 6919, 11255?\nAnswer: 16813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**4\/12 + 2*k**3\/3 - k**2\/2 + 3*k. Let f be v(3). Is 5\/4 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 5*d + 86*d + 1464 = 20*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211707379 divided by 3.\nAnswer: 211707379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8396483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4870604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002882 rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 356 divided by 178\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110 + (39 + 30 - -63)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 3*y**2 - 8*y**2 - y**3 + 2*y**2 + 1 + 6*y**2. Let f be o(-3). Solve f*l = -l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4498 + -4497.99418. Round n to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -84*a - 78. Let x(g) = 12*g + 11. Suppose 4 = n + 2. Let v(o) = n*w(o) + 15*x(o). Let y(m) = 3*m + 2. What is 2*v(c) - 9*y(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -4, 2, 279 in increasing order.\nAnswer: -4, -2, 0, 2, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34570 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14622728890 rounded to the nearest one hundred thousand?\nAnswer: 14622700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1598 by 94.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10977817, 10977815, 10977813, 10977811, 10977809?\n\"Answer: -2*m + 10977819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761*s = 148*s + 6392 + 45185 + 27500 for s.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 10, g: 4}. What is prob of sequence gag?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3717*t = -5042*t + 177550 for t.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 62*o**3 + 18*o**2 - o + 18. Let t be f(-14). Let v be (2045780\/(-77))\/1 + 8\/14. Let h = t - v. Round h to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 1\/66, 12, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(245) - (5 + sqrt(5) + 1))**2*2.\nAnswer: -192*sqrt(5) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(525) + (sqrt(525) + sqrt(525) + sqrt(525)*-4*-5 - sqrt(525)) + sqrt(525))\/(-5*((sqrt(75) - 2*sqrt(75)) + sqrt(75) + sqrt(75)) - sqrt(75)).\nAnswer: -23*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -88794*y**2 + 263486?\nAnswer: -177588*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((2\/3)\/(14\/168))\/2. Let y be f\/(-26) + (-3780)\/(-910). Solve -16 = -4*p, -24 = y*d - d - 3*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182616600 rounded to the nearest 1000000?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 751718604*u**4 - 507446344*u**2 wrt u.\nAnswer: 18041246496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, 0, 2, -537, -5 in decreasing order.\nAnswer: 2, 0, -5, -92, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34972*x**3 - 73544*x**3 + 35119*x**3.\nAnswer: -3453*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 - 50*z**2 - 18*z - 46*z**2 + 16*z**2 + 18*z + 64*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (48\/80)\/(-1 + 893\/(-190))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15679403 is divided by 157?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 + 101*c + 33. Calculate t(-17).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 3:48 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/2 + 8. Let r = -0.3 + -2.7. Sort r, d, 2\/5 in descending order.\nAnswer: 2\/5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s**2 + 84*s**2 - 30*s**2 + 23*s**2 - 32 + 32 + (0*s + 2*s - s)*(2*s - 6*s + 2*s) - 3*s**2 + s**2 + s**2.\nAnswer: 82*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 6*a**2 + a + 3. Let w be b(-6). Let n(l) = l**2 - 7*l - 6. Let k be n(8). Let f be k*(-2)\/12*-3. Put w, -1, f in ascending order.\nAnswer: w, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/5*(30 + 0)\/6. Find the second derivative of -22*l + 15 - 24*l**4 + 2*l**4 - 131*l**p - 4*l - 16 wrt l.\nAnswer: -1836*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16846.9 + -16847. What is the smallest value in i, 27, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -9)*-3*4\/90.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 195. Does 48 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 + -36?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**4 - 30*l**3 + 100*l**2 + 124*l - 4. Let z(h) = 3*h**4 + 60*h**3 - 199*h**2 - 249*h + 7. Let w(m) = 7*i(m) + 4*z(m). Factor w(o).\nAnswer: -2*o*(o - 8)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85525, -85526, -85527, -85528, -85529, -85530?\nAnswer: -85531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17363 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + a - a + 6*a + 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143272 and 104?\nAnswer: 1862536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axamqqxxxxamqaxxxx. Give prob of sequence xmax.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 216?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 744\/9 - 5\/(-15). Suppose -3258 = -5*h - q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -981 divided by -1\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 491 - 499. Let x(z) = 42*z + 295. Let u be x(o). Which is greater: -44 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 0, -78, -228, -474?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - -1)*(-10)\/8. Let c = 1\/9 - -7\/18. What is the second smallest value in -0.3, w, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320 + -4603?\nAnswer: -5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.60463ml to litres.\nAnswer: 0.09760463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 12. Let p(v) = v**3 + 14*v**2 - 41*v + 38. Let d be p(-18). Let y be 4760\/d - (-2)\/(-13)*-1. Calculate w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10461 and 3927.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 6 = 4*t - 3*h, -3*t + 8 = -4*h. Suppose t = -4*r + 4*u + 52, r = -u + 4*u + 23. Let b(q) = q**2 - 5*q - 9. Is 14 a factor of b(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.015? (a) -0.1965 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28429, -28143, -27857?\n\"Answer: 286*d - 28715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.01184 - -27. Let j = -0.011 - u. Round j to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4022 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74 and 281052?\nAnswer: 281052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1920889870.6055 and 5.\nAnswer: -1920889865.6055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 24*v**2 - 12*v + 10. Let b be i(1). Sort -5, 4, b, 5, -1 in descending order.\nAnswer: b, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5 - 5. Which is greater: 9\/13 or a?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20287, -20279, -20267, -20251, -20231?\n\"Answer: 2*o**2 + 2*o - 20291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2312231033 (base 4) to base 5\nAnswer: -142421432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228168 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040413 (base 7) in base 13?\nAnswer: 13a884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 306102829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1123044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p - 2. Calculate o(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -296481 (base 10) to base 14\nAnswer: -7a093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (429*2)\/2 + 0. Let v be h\/(-4) - 15\/20. Is 2 a factor of (2\/6)\/((-6)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.9 + -24. Let w = 1.0895 - -0.0355. Let q = w + y. Round q to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 3)*(2 - 1 + 1)*(3*n**4 - 3*n**4 - 8*n**4) + 2*n - 3*n**4 - n**3 - n - 5*n in the form v*n**4 + r*n + p*n**3 + w*n**2 + s and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-52 - (-44460)\/675).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5451*y**2 - 42*y + 217636 wrt y.\nAnswer: -10902*y - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 40 (b) 3 (c) -15\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*w = 3*w + 104, 104 = 4*l - 3*w. What is the remainder when l is divided by 10\/490*749 + (-4)\/14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154) + sqrt(154)*-2*2)\/(-6*sqrt(14)\/sqrt(2)))\/((sqrt(48)\/sqrt(4)*3)\/(sqrt(54)*2)) + 0.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*v*w**3 - v*w**2 - 13*v*w + 9*v + 2*w**3 - 38*w**2 + w - 4 wrt w.\nAnswer: -216*v*w - 2*v + 12*w - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.515 + 1.915. Let x = -10 - -28\/3. Let r = 4\/15 + x. Which is the biggest value? (a) -1 (b) r (c) t (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15a22 (base 13) to base 3\nAnswer: -2002121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 18. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 110482 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a + 30*a - 129 = 0. Suppose -5*t + 3*z - a = -0*t, 2*t = 5*z - 21. Let y = t - -13. Solve 22 = y*k + 5*f - 3*f, -4*k = 4*f - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.393 and -0.3068?\nAnswer: -0.1205724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**7\/1680 - q**6\/240 - 2*q**5\/15 - 10*q**2. Let c(u) be the third derivative of x(u). Let z = 70 + -73. Give c(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-1)\/1 + 2. Let s be -2*3\/6 + d. Let j be -1 + s - 20\/(-9). Put j, 5, -1 in descending order.\nAnswer: 5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -71*s + 27*s + 139636. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 37. Are 3 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y - 7*y + 8*y + 10. Is 19 a factor of f(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 266, -2\/9, 976 in descending order.\nAnswer: 976, 266, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 587*a**2 - 88*a - 579. What is the remainder when v(-6) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1555 = -3*n + 4*w, -w = -3*n - 2*w + 1565. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6102*g - 18047. Calculate n(3).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(2736))**2 + sqrt(2736) - (-3*sqrt(931)*-1)**2.\nAnswer: 12*sqrt(19) + 16245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 20 = -2*r, w + 6 + 2 = -2*r. What is the smallest common multiple of 8 and (19\/w)\/((-4)\/16)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 528*v - 17956. What is m(34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6252459.\nAnswer: 3, 41, 50833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 11:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -16*t + 511343 - 127427. Calculate the highest common factor of 48 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 1230*w**2 + 323585*w + 652050.\nAnswer: -5*(w - 161)*(w + 2)*(w + 405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n - 1. Let v(p) = -2*p**2 + 3*p - 21. Let g(r) = 3*h(r) - v(r). Let w be g(-8). Solve w*b + 9 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4199.34509 and 0.4?\nAnswer: 4199.74509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1136\/168)\/(14\/147). Suppose 2*a = -2*a + 1420. What is the greatest common factor of a and o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**3 - 2*w**2)*(0*w + w + w) + 6*w**4 - 4*w**4 + 0*w**4 + (-4 + 1 - 2)*(3*w**4 + 2*w**4 - 3*w**4).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4411\nAnswer: 3\/4411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*y + 5, -13 = -3*k + 5*y + 4. Let f(n) = -10*n + k*n + 5 - 11*n. Let l(i) = 4*i - 1. Calculate 2*f(o) + 9*l(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/2, -309, -1, -258?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 277019*b - 549329*b + 275479*b. Let d(u) = u. Determine d(r(y)).\nAnswer: 3169*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47591?\nAnswer: 47591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007549 to 7 decimal places.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*p - 9. Let x = 17 - p. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 8) to base 3\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*u = 3*z - 15, 3*u - 30 = -3*z. Let x = -4 + z. Solve -r = -4*r + j - 3, -x*r - 2*j = -6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.12?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(2 + 16)*1. Let z be 2\/k + -215*6\/(-27). Let n = z - 18. Calculate the remainder when 57 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, 0.26, -1\/4, 7.4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*b + 180, 3*d + 18*b - 489 = 23*b. What is the least common multiple of 672 and d?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -11*v + 31. Calculate the common denominator of -23\/136 and 7\/14*(-100)\/v.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6097941 to the power of 1\/2, to the nearest integer?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + (4 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2490)\/(-2 + 40444798\/20222547). Let a = s + 1\/30710. Let k = -55 - a. Sort k, -2, -0.04 in descending order.\nAnswer: -0.04, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427196 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000122914 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -540\/13 + 2219\/65. What is the common denominator of 8\/(-6)*405\/96 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -3 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -43038.98\nAnswer: -86077.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 8 = -8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -1067*s**7\/30 - 483*s**3\/2 - 6*s**2 + 87. Differentiate w(z) with respect to z.\nAnswer: -29876*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4784 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -210 + 12?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*x + 28, -7*x + 298*b + 68 = 303*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(-2))\/z)\/z**2)\/(z**1)**(-48)*(((z\/z**(-7))\/z)\/z**(-1\/4))**31 assuming z is positive.\nAnswer: z**(1079\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132665461*h + 97419598?\nAnswer: 132665461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c\/c**(-1\/2))\/c)))\/(c\/(c\/(c\/(c*c\/c**(1\/6)*c)))*c*c)*c**(-1\/3)\/((c*c**(-4))\/c*c) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 220 = -17*y. Let o be (-8)\/(-44) - 168\/y. Solve -3 = o*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936007 is divided by 70.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*d + 6. Suppose h - 36 = -d*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/54*11376\/(-111232).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**5*b*b**(2\/35))\/(b**8*b*(b*b**(-12)*b*b)\/b*b*b))**(-1\/44) assuming b is positive.\nAnswer: b**(69\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*s + 1137*s - 728 - 7457 = 6335 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25857, -207224, -699565, -1658364, -3239105?\nAnswer: -5597272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + x - 15. Let c be y(-5). Suppose -c*k = 4*l - 31221, 11094 + 12278 = 3*l - 5*k. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11099.84 + 12554.519. Let b = -1453 + i. Let d = b + -1.82. Round d to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3)*(-4)\/30.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**3\/3 - v**2 - 3*v + 1. Let m(c) be the third derivative of c**5\/60 - c**4\/8 - 2*c**2. Let r be m(2). Determine n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 7, j: 3}. What is prob of sequence lhjj?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide -16 - (-16 + 11) - -2786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*d + 10, -4*d - m + 2 - 6 = 0. What is the second smallest value in d, -3, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10435*t + 615. Let z be h(9). What is z rounded to the nearest 1000?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 135. What is m(26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40 from -396.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 224300.7382 rounded to the nearest ten?\nAnswer: 224300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198912289 by 419.\nAnswer: 474731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000010000 (base 2) to base 6.\nAnswer: -53132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -117, -112, -103, -90, -73?\n\"Answer: 2*t**2 - t - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 2*a - 2. Let f be u(-2). Suppose -f*m = -3*m + 2. Is (-187)\/(-5) - m\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584504551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(99)\/sqrt(9))*6.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.9 and -6.5541.\nAnswer: -4.6541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-20) + 2)*-125. Let x = 70 + t. Calculate the greatest common divisor of 8 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -38882\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j**3 - 114945*j**2 - 4099473*j - 873180 = 0.\nAnswer: -35, -3\/14, 2772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 32*z - 347. Let v be g(-9). Which is the closest to -0.2? (a) v (b) -8 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22*p**3 - p**2 - 2*p. Let r be a(-2). Let u = -20 - -19. Let h(t) = 15*t**2 - t. Let o be h(u). Calculate the highest common factor of o and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*t + 15 = 74, 3*r + 51 = -3*t. Let d be 6*(-51*2\/r - 2). Let q be 55\/(-2)*(-8)\/10. Calculate the highest common factor of q and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/476995?\nAnswer: 3\/476995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21 + -22)\/(1\/89). Let b = j - -98. What is the remainder when 43 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 23*l**2 + l**3 + 24*l**2 + l**3 in the form p*l**2 + w + r*l**3 + j*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 390188 divided by 1\nAnswer: 390188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -22. Suppose 4*z = 3*o + z - 39, 0 = -o - f*z + 16. Let q = o + -14. Solve q = -5*r - 2 + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -37, -38, -39, -40, -41?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 7, k: 3, p: 1}. What is prob of picking 1 a, 1 b, and 1 k?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -183, 4 in increasing order.\nAnswer: -183, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + 23749?\nAnswer: 23691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 16*t - 4. Let o(l) = -l - 1. Let j(y) = 5*o(y) + q(y). Let i be j(7). Is 2 a factor of i\/(-7) + (-4)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0067 or 0.024?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 - l + 7. Let d(x) = 7*x**2 - 13 - x - 11 + 32. Determine 5*d(b) - 6*w(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 17, z: 2}. What is prob of sequence eeee?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/141 (b) 0.07 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.3. Let i = -0.8 + 1.6. Let z = i - 4.8. Which is the biggest value? (a) h (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*(-46)\/(-736)*(-24)\/1029\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6db - 1d5?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 1:54 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*r**3\/7 + 183*r**2\/7 - 288*r\/7 + 108\/7 = 0. Calculate r.\nAnswer: 6\/11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -13.17?\nAnswer: 52.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 17 + 7 = 0. Suppose -f*p = 3*p. Solve 5*n - 28 + 8 = p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 9566.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.141223 - 15.762623. Let h = z + 14.9414071. Let m = h + 0.68. Round m to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12553 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 f(k) be the first derivative of -17 - 9*k**2 + 2*k**2 - 89*k + 82*k. What is the first derivative of f(j) wrt j?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233079787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36617?\nAnswer: 7, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 10*j - 20. Let d be s(-12). Let h(q) = -15*q + 20. Let k(y) = -16*y + 21. Let f(c) = d*h(c) - 3*k(c). Differentiate f(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 72 - 225 = 3*q, 0 = -3*q - 5*f - 153. Let z = q + 54. Solve -5*i = -z*b + 4*b + 16, -36 = -5*b + 4*i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1549, 7528, 13507, 19486, 25465?\nAnswer: 31444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8790 and 319824?\nAnswer: 468542160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 901823.5 micrograms in grams?\nAnswer: 0.9018235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*v, -6*g = -7*g - 3*v - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*x - 2, 4*v - 5*x = 35. What is the third derivative of 10*c**2 - 12*c**2 + 4*c**v + 11*c**2 wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134954083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y, 0*f + 2*y - 8 = 4*f. Put 8, -8, 4, f in ascending order.\nAnswer: -8, f, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -c - 2*c. Let r = c - -2. Sort 1, -3, -1, r.\nAnswer: -3, -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7) + 19 + 2430\/(-126).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 3. Let b be v(-11). Let c = b - 25. Find the second derivative of -2*f**5 - 15*f + 8*f**c + 10*f + 0*f**5 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 5. Let h(o) = 2*o**3 + 7*o**2 + 6*o + 4. Let s be h(-3). Let z be t(s). Factor z + 9\/7*q + 3\/7*q**2.\nAnswer: 3*q*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009724 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 10 + 5)*(0*g**2 + g**2 + g**2) + 7161*g**2 - 16775*g**2 + 8379*g**2 as v*g + x*g**2 + k and give x.\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1025612297 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 15*j**2 + 14*j - 38. Suppose -3*c - u - 38 = u, 4*c = 2*u - 74. Give g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, s: 2}. Give prob of sequence srr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/17 and 47\/22.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 3. Let t = 23 + -16. Suppose 0 = d - t - 3. Suppose -w - 5*y = -d, -2 = w - 4*y - 3. Let s(g) = -1. Calculate w*s(p) + h(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 56 = 15*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*((-m - 3*m + 5*m)*(-7 + 3 - 2) + 21*m - 20*m - 26*m) as z*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55400220 - 55400220 + 658*v.\nAnswer: 658*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 8:11 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c + 2*c + 245 = 0. Let p be c\/1 - (6 - 6 - 105). Calculate the greatest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (-18 - -15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.2503 + -0.0497. Let o = p - -18.9. Which is the second smallest value? (a) -3\/2 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80410611\/10 or -8041062?\nAnswer: -8041062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/4 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -7*k**2. Let q(x) be the first derivative of -x**4\/6 - 3*x + 21. Let n(g) be the first derivative of q(g). Determine n(a(p)).\nAnswer: -98*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 10. What is w(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-6))\/((-4)\/24). Suppose -4*x - 2*y = -y + 13322, -x = -b*y + 3324. Round x to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from iuoiuxz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*f + 7224 - 924 = 0 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 18*(5 + -3). Let s be 11\/v - (-1)\/(-3). Solve n + 0*c + 15 = 4*c, s = -5*n + 5*c - 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.006 + 0.0406. Let z = s + 4.9654. What is the nearest to 0.1 in z, -55, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80 + 40. Let g be 20\/p*(0 - 2 - -2). Suppose 2*r + 4*q - 32 = g, 5*r - 2*q = 3*q + 140. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58324 - 105526 = -154*g + 4934. Calculate the greatest common factor of g and 959.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, x: 3}. Give prob of sequence nsx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 168137131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -28\/3 (c) 6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8487, -16983, -25489, -34011, -42555, -51127, -59733, -68379?\n\"Answer: -q**3 + q**2 - 8492*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49250 and 14972?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2467, 3, 14, 5, -1 in descending order.\nAnswer: 2467, 14, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -18. Sort -2, 0, f in ascending order.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10089 + 978639\/97. Which is the third biggest value? (a) 2\/3 (b) 7 (c) o (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.2 - 3. Let n be (-3)\/(-8)*1\/3. Let r = -0.5 + 3.5. What is the nearest to n in 2\/3, a, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(396) + 2)*-6 + sqrt(396).\nAnswer: -30*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2154, 4311, 6490, 8703, 10962, 13279?\n\"Answer: 2*x**3 - x**2 + 2146*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -81311104 divided by -2?\nAnswer: 40655552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9129.844ml?\nAnswer: 9.129844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2735.7 + 2737. Are n and -2\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3561 - -3564. Sort -0.3, g, 39 in decreasing order.\nAnswer: 39, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10212*w**3 + w**2 - 3*w - 1025 wrt w?\nAnswer: 61272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 7*x**2 + x + 2. Let a(c) = -c**2 + c - 1. Let b be 4\/14 - 161\/49. Let w(o) = b*a(o) - m(o). Calculate w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004182867779 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*b + 1. What is the remainder when b is divided by 528\/64 + 6\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6153292, -6153293, -6153294, -6153295, -6153296, -6153297?\nAnswer: -6153298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -141.065 (c) -12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 7. Suppose 2*t = 5*t - 69. Calculate the remainder when t is divided by i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1.33, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.01, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/840 and -179\/1477200.\nAnswer: 10340400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516015 = -s - 44*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p + 2. Let r(l) = 1140*l + 900. Let n(f) = 80*m(f) + r(f). Differentiate n(o) with respect to o.\nAnswer: 1700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + s - 83, -4*d + 4*s + 331 = 9*s. What is the greatest common factor of d and 672?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183002236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -28, -107, -260, -511, -884?\n\"Answer: -4*y**3 - y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w - 124 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -296 + 0?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -1.4. Let f = 2 - 2. Put f, i, 1\/3 in ascending order.\nAnswer: i, f, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + y = 19, 197*y + 57 = -4*q + 200*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d9 + -cb8?\nAnswer: -bce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 12. Which is the second smallest value? (a) 2 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-20)*1\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-44 - (-34 + 15 - -19)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 11717*p - 140562. Calculate t(-12).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + ((-9702)\/175)\/7.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3335 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 7:07 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2. Let r(p) = 6*p. Let x(v) = 5*v. Let h(y) = -3*r(y) + 4*x(y). Give c(h(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 489152 divided by -122288?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154440 and 15444.\nAnswer: 154440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -276, -553, -838, -1137, -1456, -1801?\n\"Answer: -y**3 + 2*y**2 - 276*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1012013321 + -1?\nAnswer: -1012013322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*((-3 + 3 - 2)*(0*j - 3*j + j) + 25*j - 4*j - 10*j).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739554 is divided by 52658?\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*c - 153*c - 184*c to k*c + i and give k.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -103. What is the second derivative of -41*c**2 - 87*c - t*c + 83*c wrt c?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23403536 divided by 6082.\nAnswer: -3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111110 (base 2) to base 3.\nAnswer: 210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9008.38m in kilometers?\nAnswer: 9.00838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4 - 130*j**3 + 4179*j**2 - 4050*j = 0?\nAnswer: 0, 1, 54, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) + 1 + sqrt(468))) + -2 + (sqrt(468) + (sqrt(468) - 3*(3 + sqrt(468))) - sqrt(468)))**2.\nAnswer: 432*sqrt(13) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) - 449\/2. Is (f\/(-5))\/(2\/5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1115*q**3 - 2*q**2 - 11*q + 16. Let p be n(3). Round p to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:50 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**6\/240 + c**5\/40 + 17*c**4\/12 - 17*c. Let a(j) be the third derivative of r(j). Determine a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 + 4 = 0. Let w = -3 + s. Solve w = 2*d + 5*y - 4, 4*d + 2*y - 8 = 3*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310700585?\nAnswer: 5, 13, 17, 43, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22806 - 22805. What is the nearest to y in 4\/17, -35, 0?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 - o**2 - o + 1. Let t be f(1). Let u be (-2 - -1)*(-6 + t). What is the second derivative of -2*d + 3*d**u - 6*d + 12*d wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r - 10. Let k(u) = -u**2 + 8*u - 10. Let c be k(5). Let s be l(c). What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -2010\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21025 and 504600?\nAnswer: 504600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -45.09. Let h = 0.74 - 1.65. Let i = h + q. What is the fourth smallest value in 4, 1\/3, 0.3, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2*sqrt(77) - sqrt(77)) - sqrt(77)) + sqrt(77) - sqrt(77))\/sqrt(11) + (sqrt(63))**2*5 + -4 + sqrt(7) + sqrt(28)\/sqrt(4) + sqrt(7).\nAnswer: -2*sqrt(7) + 311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 792 = 6*c. Calculate the remainder when c is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 43, 63, 81?\n\"Answer: -h**2 + 25*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156022929 and 520076430?\nAnswer: 1560229290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u + 42*u - 17312 = 0. Let a(b) = -6*b**3 + b**2 - 1. Let c be a(-1). Suppose 2*p + u = c*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/79380 and 88\/3045.\nAnswer: 2302020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -323*w + 5. Let h be m(-1). Calculate the highest common factor of h and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-336)\/315 - 2162\/(-705). Factor -4\/7*r**4 + 20\/7*r**3 + 0*r + 0 + 24\/7*r**n.\nAnswer: -4*r**2*(r - 6)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62 (base 15) to base 6.\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 4*g**2 + 3*g**2 + (-2*g - g + g)*(-4*g + 0*g + 2*g) - g**2 + 5*g**2 - 3*g**2 - 18 - 13*g**2 + 18 in the form b*g**2 + w + v*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518367*11.8.\nAnswer: 6116730.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -273*n**3 - 7*n**2 + 60*n + 401. Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294 by 2.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 - 5*z + 12. Let q be a(-4). Suppose q = -p + 12*p - 4609. What are the prime factors of p?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -842*a + 119. Let x(s) = -5895*s + 893. Determine 2*x(z) - 15*y(z).\nAnswer: 840*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -227 + 4 + 182 + (-1 - -32)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -186362707, -186362705, -186362703, -186362701, -186362699, -186362697?\n\"Answer: 2*p - 186362709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 10*l**2 + 8*l - 11. Let m be o(-11). What is the greatest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from hhhbhhhbhhhhbh.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293 - 371 + 11 - 360 + 67)*(17*q - 8*q + 37*q).\nAnswer: -43516*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.16, -1\/714, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6557111 is divided by 3278554.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 g when four letters picked without replacement from {q: 3, g: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12076*w - 12076*w + 75*w**4 + (3*w**2 - w**2 - 3*w**2)*(2*w**2 + 5*w**2 - 4*w**2) + 4*w**4 - 2*w**4 + 0*w**4.\nAnswer: 74*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*v + 152431 + 161147 + 270822. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -1\/6*z**4 - 1\/6*z**5 + 0*z**3 - 1\/2*z**2 - 1\/20*z**6 + 0*z + 1. Let l(r) be the second derivative of s(r). Solve l(h) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = -a. Suppose 2*u - 4*u + a = 0. Suppose y = u*y - 40. What is the greatest common factor of 90 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -4 + 1 - -57. Suppose -a = 5*b - q, -160 = -4*a - 5*b - 0. What is the remainder when a is divided by (12\/10)\/(3\/30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5421, -5448, -5481, -5514, -5541, -5556?\nAnswer: -5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 51, 79, 107, 135?\n\"Answer: 28*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -24 (c) -0.1 (d) 0.3 (e) -0.8 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k\/k**(3\/5)))\/(k**(-10)\/k))**(17\/2))**(-2\/7))**(-49) assuming k is positive.\nAnswer: k**(6307\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -212.6 and -0.41?\nAnswer: 87.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1689843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12745186 a multiple of 2380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -34*m + 26*m. Suppose 0 = -2*u + m + 9. What is the highest common factor of 119 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307\/3 + -102. What is the nearest to 0 in 0.1, l, 64?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.81 + 0.4?\nAnswer: 305.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.58 in 0.5, 9\/5, -4.73?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:26 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43966840*n**3 - 96284128*n**2 wrt n.\nAnswer: 263801040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12\/29 - -97\/116. Which is the smallest value? (a) 3.5 (b) j (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 282181720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 806, 0, -3 in decreasing order.\nAnswer: 806, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -5*s**2 + 161*s + 86. Is g(-33) a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 78?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.7 - 18. Let h = 3.6777641 - -0.0222393. Let o = h - a. What is o rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**7\/210 - h**6\/360 - h**3\/6 - h. Let v(z) be the second derivative of d(z). What is the third derivative of v(w) wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/4, -4, 22235?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97.32 and 1.5.\nAnswer: -145.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {f: 3, t: 3, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -11. Let t be (16\/84)\/((-4)\/18). Let g = -4 - -4.4. What is the biggest value in g, a, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 4*r**2 - 2*r - 4. Let w be (-1)\/(-2)*(0 + -2). Let q be w\/2*2 + -3. What is p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-4 + 4)) + (-5 + -2 - (-18 + -14))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 2\/13, -86, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58906992 divided by 14726748\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1011*r**2 - 20 + 144 - 1010*r**2 to v*r + h*r**2 + a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 - ((-2)\/(-4))\/((-5)\/(-10)). Let j be 2\/(-5) + (-34)\/k + 22. Let n = j + -45. Which is bigger: n or -22?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 166, -8\/383, -4 in ascending order.\nAnswer: -4, -8\/383, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 1\/8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 33120 = 3*q, -7223 - 14850 = -2*y - 5*q. Is y a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 0.3, 3\/2, -3, -166\/57?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 2:28 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 7*u + 16. Let y be q(-4). What is the nearest to -18 in 1\/7, -2, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1467*j**6 - 1272*j**2.\nAnswer: 176040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/380 and 101\/89392.\nAnswer: 8492240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1729 + -1732. Sort 6, 5, f, 8 in descending order.\nAnswer: 8, 6, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206998467 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 765381 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5533 and -5?\nAnswer: -27665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -45, -219, -563, -1131, -1977?\nAnswer: -3155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1802 = 5*t - 56*t. Solve 118 - 50 = t*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164461860*k**3 + 190377*k**2 - 273*k.\nAnswer: -986771160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1579 = -6*h + 3*h, h + 524 = 3*l. Let y = h - -663. Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -235, -1005, -2275, -4039, -6291, -9025, -12235?\n\"Answer: z**3 - 256*z**2 - 9*z + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 8, r: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3879, -2\/21, 10.\nAnswer: -3879, -2\/21, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**3 - 230*s**2 - 4655*s + 4880 = 0.\nAnswer: -16, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - h + 18, 85*c + 4*h = 83*c + 2 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/252 and -61\/3869712?\nAnswer: 3869712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 6. Let d(f) = 2*f**2 - 5*f + 6. Let u be d(2). Let a be n(u). Solve 0*j = -a*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 + 813. 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 10:46 AM and 11:13 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 134992 divided by -1?\nAnswer: -134992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 2*q**2. Let t be j(2). Let u be t*(6\/2 - 2). Suppose -2*v = 2*v + 16. What is the closest to u in -2, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7552827 is divided by 2517609.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 1182*u + 1184.\nAnswer: -2*(u - 592)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**2 - 2*j**3 - 5 + 14 + 154*j**2 - 7 - 2.\nAnswer: -2*j**3 + 145*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o - 1. Suppose 2*x = j + j + 16, -4*x - o = 5*j. Is (1 - x) + 136\/4 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 641874.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59955727 to the power of 1\/2, to the nearest integer?\nAnswer: 7743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:45 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2 + 13. Let b = -20 - -10. Let i = b - -15. Solve -5*z = 0, -i*u - n + 0 = -z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 12 = -s. Let f(r) = r**2 - 9. Let b be f(4). Suppose 0 = w + 4*w - 4*p - b, 0 = -5*w + 3*p + s. Which is greater: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -2*d, 4*u = -2*d + 13 + 3. Suppose 0 = -4*c + 3*s + 69, 0 = c + s + d*s - 21. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 21 + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/42)\/9*(-14)\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**2 - 11 + 18 + 24)*(1 - 38*m + 37*m + 5) in the form g*m + y*m**3 + o*m**2 + z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29599\/18 - -9769\/6. Which is greater: m or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 23, -10, -141, -418, -889, -1602, -2605?\n\"Answer: -8*w**3 + 23*w**2 + 4*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*w**3 - 114\/7 - 82\/7*w + 34\/7*w**2.\nAnswer: 2*(w - 3)*(w + 1)*(w + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*j**2 - 43 - 2*j**3 - 69*j**2 + 3*j**2 + 144*j**2 to b*j**2 + m*j + s + w*j**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17094 - 17078.817. Let o = 2.793 - p. What is o rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-2 - 1 + 4) + 3 + 2 - 4 + 11 - 7 + 3)*(-h**2 + 2*h**2 - 5*h**2)*(5*h**2 - 3*h**2 - 4*h**2).\nAnswer: 56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6490 divided by 96?\nAnswer: 3245\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 3*m = -11*i - 2, 4*m + 10 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 17. Let d = h + -5. Suppose l - 5 = -d*r, -5*r - 5*l = 4 - 14. Calculate the lowest common multiple of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 14, 157, -3\/8, 0.5, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.02, 1, 27.3906?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 2:08 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 157.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/14 + -2*4\/28. Which is smaller: i or -4\/83?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -153*p**2. Let y(i) = -2*i - 11. Give s(y(d)).\nAnswer: -612*d**2 - 6732*d - 18513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 28437*f - 28433*f + 56870*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 474*x + 0 - 21*x.\nAnswer: 453*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**5 + 3*a**4 + a**3 - 3*a**2 + a + 3. Let v(w) = -2 + 2*w**5 - w**3 + 0 - w**4 + 1 + w**2 - 3*w**5. Let m(z) = -2*o(z) - 6*v(z). Factor m(p).\nAnswer: -2*p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2204, 19, 2, 32 in decreasing order.\nAnswer: 32, 19, 2, -2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283.888396 - 23.\nAnswer: -306.888396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 13) + -11 + 15 - (-18 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71.3 - -116.2. Let h = -45.7 + a. Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-9) + 5\/3 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(5) - sqrt(45)) + 5 - (sqrt(30)\/sqrt(6))**2*1)*3.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2\/7 + 96*i\/7 + 99\/7 = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12104373 is divided by 105254.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 3:23 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.85 + 0.15. What is the nearest to -4 in 2, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -36. Suppose 0 = -11*l + 7*l - 2*b + 340, 5*l + 5*b - 425 = k. List the prime factors of l.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - p - 1. Let b be 31\/(-93)*(1 - -8). Give u(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (40 + (3 - 22))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -25*l**2 + 35*l + 199. Let i be w(7). Is i equal to -315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (480\/(-3))\/(3 - 5). Calculate the highest common factor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1539 = 2*f + f. Suppose i + f + 382 = 3*j, 0 = -4*j + 2*i + 1194. List the prime factors of j.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/7 and 11\/2052.\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -221012?\nAnswer: 221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1923409453 to the nearest integer?\nAnswer: 43857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718 + 30*w**2 + 5*w**2 + 718.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514, 2076, 4680, 8326, 13014, 18744?\nAnswer: 25516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 7:15 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 8:40 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102011222 (base 3) in base 9?\nAnswer: 12158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -19*m - 95. What is the common denominator of (-157)\/(-3 - 835\/(-20)) - m and 11\/6?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 275 = -2*z. Let v be 3\/(2 - 333\/165). What is the remainder when z is divided by (-2)\/(-3) - v\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -53, -118, -251, -476, -817?\n\"Answer: -4*a**3 + 2*a**2 + a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21.4 + 21. Which is the nearest to -12? (a) 3 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 839706136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 13) to base 14.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.71668 - 0.28332. Put -3, -0.03, l in increasing order.\nAnswer: l, -3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 8*a + 4. What is x(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:43 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -595 - -4711. Is 147 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {x: 2, l: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -5 + -6 + 1 - 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257*h - h**4 - 2*h**4 + h**3 - 264*h to the form z + j*h**4 + g*h + x*h**2 + c*h**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*i = -319, i = 3*i - 10. What is the remainder when c is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2700 - -13497\/5. Is 3 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -4. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28644 = 17*y - y + 26*y. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145\/66 - 859\/33. Calculate the common denominator of 10\/11 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -37*j + 18*j + 20*j - 11. Let r be z(12). Let y(x) = 49*x + 1. List the prime factors of y(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffcl when four letters picked without replacement from lycufuufyuuu?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-21)\/(-189)*(-3 + (-276)\/6).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(78))\/(sqrt(24)\/(sqrt(4)*2)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and (-6)\/(12*2\/69).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 94\/9395 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12*g = -16*g + 194, 193 = 3*f + 5*g. Calculate the lowest common multiple of f and 341.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nevnvnepvvppevhpvkh. Give prob of sequence nvev.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxgg when four letters picked without replacement from ggggxxg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 244755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 g when four letters picked without replacement from ggkkkttkgkkgt.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54672032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2)*(6 - (-204)\/(-30))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) - -3*sqrt(44)).\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23738)\/(-9960) - 9\/4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + d + 72 = -0, -2*x = -2*d + 48. Calculate the common denominator of 47\/44 and -2 - (-154)\/x - -3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (447*g + 573*g + 91 - 91)*(g**2 + g - g) to the form r*g**2 + k*g + p + u*g**3 and give u.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 2*i**2 + 3*i + 1. Suppose -15*g - 7 = 8. Let x be b(g). Solve -4*t + 5*o + 9 = 0, 0 = 4*t + x*o - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 27 = 4*d. Suppose -12*x + 863 = 647. Calculate the least common multiple of x and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*w**2 - 60*w**2 - 14*w**2.\nAnswer: -182*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -6750, 2, 3, -1 in descending order.\nAnswer: 7, 3, 2, -1, -5, -6750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8253262 - 889?\nAnswer: 8252373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*u**2 + 386*u**2 + 60*u**2.\nAnswer: 475*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Suppose 2*h - 12 = -i*h. What is the third derivative of f**2 + 0*f**6 - 2*f**h - 3*f**2 wrt f?\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000111 (base 2) to base 11\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:36 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104183 and 11275.\nAnswer: -1174663325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 525. Let v(u) = -u - 700. Let d(k) = 9*p(k) - 7*v(k). Give d(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76224.64 micrograms in grams?\nAnswer: 0.07622464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0962206 to four dps.\nAnswer: -0.0962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10224001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 5*n = 11, 1 = 5*g - 3*n. Let r be (g - 2)\/(-1 + 4). Let u(x) = x**2 - 10. Determine u(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*(sqrt(125) + sqrt(125)*1 + -3 - (sqrt(125) + -1 + sqrt(125) + 1 + sqrt(125))))**2)*2.\nAnswer: 540*sqrt(5) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 2 + -1 - sqrt(325))**2 + sqrt(325) + -3*(0 + sqrt(325))**2.\nAnswer: -974 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2372*p + 3031*p - 38221 = 75242 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 18 - 4)*(-c - 1 + 1) as m + z*c and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652536 divided by 17?\nAnswer: 97208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 344, 2, -1426, 1 in ascending order.\nAnswer: -1426, 1, 2, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24821899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1466122 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q + 51*q + 128*q - 260*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p + 64*p = 48*p + 5691 - 201 for p.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m**2 - 23*m**2 + 81 + m**3 + 1396*m - 1416*m. Is b(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1528561 + 3569481. Round k to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113 - 266 + 4*k**2 - 160*k + 5 + 0*k**2 + 38.\nAnswer: 4*(k - 42)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6250*w. Let v be p(-4). What is v rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/4)*u*u**7)\/(u**(-2)*u**9*u))**43)**5 assuming u is positive.\nAnswer: u**(645\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 71. Put 6, 0, -4, n in ascending order.\nAnswer: n, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {r: 4, j: 1, w: 3, b: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143384?\nAnswer: 2, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40051 and -8?\nAnswer: 320408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111423 - 2131?\nAnswer: 104242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-5 + 7 + -5) - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 4*c + 3. Suppose -3*x - 2*h + 84 = 0, x - h - 28 = 3*h. Let f be 2\/(-10) - x\/10. What is z(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28955987 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110100001001010 (base 2) in base 15?\nAnswer: -8e1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p - 4. Suppose -3*g - p = -11. What is the units digit of (1\/2)\/(g\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 14. Let k = 45 - g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(605)*3 + 3 + (sqrt(5) + (sqrt(5) - -3*sqrt(5)) - sqrt(5)) + sqrt(5) + 5.\nAnswer: 11 + 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(180) + sqrt(180)*1)\/sqrt(10))\/(sqrt(144)*-1).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, b: 4, h: 2}. Give prob of picking 2 v and 1 b.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -42, -66, -92, -120, -150?\n\"Answer: -t**2 - 19*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-11)*f)\/f)\/f**6)\/(f*f**(-12\/5)*f**(2\/19)) assuming f is positive.\nAnswer: f**(-1492\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(252))*-6*-4.\nAnswer: 96 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -2*a - 45. Suppose -4*q + 106 = 2*o, 0 = a*o - 3*q - 132 - 81. Let t = 2 - 2.1. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(228) + -5*(sqrt(228) + (sqrt(228)*1 - sqrt(228))) + sqrt(228))*6)\/(sqrt(12) + sqrt(132)\/(sqrt(11)*-2) - (-2*sqrt(72))\/sqrt(6)).\nAnswer: -108*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6430 + -6289. Calculate the remainder when 394 is divided by c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4146818.\nAnswer: 2, 13, 349, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r**5 - 140*r**4 + 762*r**3 - 884*r**2 - 768*r + 1024 = 0. What is r?\nAnswer: -1, 1, 2, 16\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15802371 and 0.2?\nAnswer: 3160474.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5213.62 + 3753437.38. Let q = f + -3758650.87999972. Let i = q + -0.12. Round i to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + 1 + sqrt(75))**2 + 3.\nAnswer: 30*sqrt(3) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620795593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1976 and 695058.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 162, 196, 248, 324, 430, 572, 756?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) - (-15)\/(4050\/(-279)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122168443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -3*o**4\/4 + 194*o**3 + 2400*o**2 + 9696*o + 5519. Factor w(f).\nAnswer: -3*(f - 202)*(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 5*z + 12 = -i, -z = -3*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.33+-0.078\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 - 8*z**2 + 3*z**2)*(-3 - 21 + 4)*(2 - 2 - 9*z + (-z + 2*z - 3*z)*(1 + 2 - 2)).\nAnswer: -2420*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382632574?\nAnswer: 2, 433, 441839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 11:04 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - 2*x**4 - 3*x**4 + (0 + 3*x + 0)*(59*x**3 + 8186 - 8186).\nAnswer: 173*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 minus 22686.4?\nAnswer: -22957.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 438 + -390. What is the greatest common factor of 432 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 3*h + 6*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -2\/5 (c) -2\/17 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (5 - (10 + 0 + -5 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-60)\/(-13616)) - (-3)\/9. Suppose -3*z = -2*n - l, z + 2*n - 325 = 56. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let h(x) = 15*x**2 - 3. Let i(k) = -c(k) + h(k). What is the remainder when i(-2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 843318851 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 9199*l**6\/120 + 13543*l**4\/24 - 8*l**2 + 5*l + 3. Find the second derivative of p(k) wrt k.\nAnswer: 55194*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -64*m - 11. Let u be z(-9). Suppose 4*s = 0, 0 = 3*c - 4*s - u - 470. Let g = 612 - c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 78. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b*b**(5\/2)))\/(b**1)**(-9\/14)*(b**(-1\/2)*b)**(6\/11)*(b**0\/b)**(-21\/4) assuming b is positive.\nAnswer: b**(-1027\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -55\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - -75766559453581\nAnswer: 75766559453581.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:24 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*j, 4*j - 24 = 7*g - 3*g. Let i(m) = -14*m - 1. Let f be i(-1). Put f, 1, g, -3 in increasing order.\nAnswer: g, -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c. Let m(j) = -2*j - 2. Let f be m(-2). Solve c = y + f - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2037)\/(-2619)*(-3)\/7*-4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o + 15 = 0. Let k(t) = -20*t - 20. Let x = -28 - -72. Let r(b) = -b - 1. Let h(z) = x*r(z) - 2*k(z). Calculate h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 840267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) 0 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 10) to base 13.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37041456091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1826 + 1829. Solve 2*c = 2*z, -10 = l*c - 22*z + 17*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 8 + -3 - 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9029615\/18 + -501994. Let a = 3190\/9 + f. Let u = -259\/2 + 392\/3. What is the common denominator of u and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 3, -3\/2, -3, 1862?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9130 and -13.23?\nAnswer: -120789.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + 1*7\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 + 0 = 0. Suppose 2*g + g - 6 = 0. Let u = 7 + 4. Solve -s = g*v + u, 2*v = 2*s + v - j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(44)\/sqrt(4) + sqrt(11))*-4*5 - ((sqrt(121) - sqrt(121)*1 - sqrt(121))\/sqrt(11)*-2 + ((sqrt(99) + 1 + sqrt(99) - sqrt(99))*3)**2).\nAnswer: -800 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + 3\/((-3)\/(-34))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 73. What is the units digit of (5 + -3)*(k - -2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11036 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04249 and 0.1805.\nAnswer: 0.13801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*j + 5*m, j - 26 = -m - 23. Put 2\/5, 6\/2753, j in increasing order.\nAnswer: 6\/2753, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.98667011 to 1 decimal place.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 381\/38 + -3583\/418. What is the nearest to 0 in -5\/3, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25512*f*l**5 + 39*f*l**4 - 18791490*f*l**2 wrt l.\nAnswer: -1530720*f*l**2 + 936*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1301.05 and -0.144093.\nAnswer: 1300.905907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**3\/(o\/(o*o**(-6))*o))\/(o**(-6)\/o**(-6)))**(-37))**49 assuming o is positive.\nAnswer: o**7252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 47 = 10. Suppose -2*d - s - 11 = 0. Let h be (63\/(-98))\/(d\/14). What is the closest to 3 in -4, h, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16952*308\nAnswer: -5221216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 17, -55, -177, -361, -619?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**18*(y\/(y**31*y))\/y*y**(-7\/4)*y\/(y\/(y**(-2\/5)\/y*y)) assuming y is positive.\nAnswer: y**(-323\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 3*z**2 + 2 - 2. Let k(w) = w + 7. Let y(o) = -2. Suppose 2*d + 2*d = -8. Let i(c) = d*k(c) - 7*y(c). Calculate i(p(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*t**4 - 2110243*t**3 - 64*t**2 - 33083*t + 1.\nAnswer: 336*t - 12661458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993.5156 seconds to nanoseconds.\nAnswer: 993515600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 16*d**2 + 2*d + 34. What is the hundreds digit of y(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 - (0 + 0 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 8450, 1, -39 in increasing order.\nAnswer: -39, -5, 0.5, 1, 8450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((16\/4)\/4). Let s be (1 - 3 - y)*(-4)\/5. What is the second derivative of 14*g - g**4 - 4*g**4 + 2*g**s wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*6\/(36\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f - 23. Calculate the lowest common multiple of 8 and h(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*-2*4\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22752376183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 + 18*f**3 + 14*f**2 - 18*f - 16 = 0 for f.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 770 + 11*m**3 - 385 - 385.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*l**2*u**2 + 41*l**2*u + 30*l*u**2 + 242*l*u wrt u.\nAnswer: 354*l**2 + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 617.455 - 621. Let u = c + 2.074. Round u to two decimal places.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-10)*(-517 + 522).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {u: 2, s: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 2. Let h be (-21)\/(-5) - (-2)\/(-10). Let t be h + 2\/(-2 - -4). Is 3 a factor of u(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/21 (b) -3 (c) -2 (d) 2\/11 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*s + 42, -2*s - 18 = -12*p + 7*p. Let i be (-9)\/(-2) - 0 - 0. Is i smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m - 34*m - 112*m**2 - 13*m**2.\nAnswer: -125*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8278 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 454?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1521.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.8722221 rounded to 2 dps?\nAnswer: -25.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14297460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.116 + 0.02. Let m = 8351 + -8351.085. Let j = m + d. Round j to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-40)\/12)*2. Suppose -2*v - 158 = -4*l, u*v + v = -4*l + 152. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0 (b) -0.05 (c) -1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-32)\/(-12)) + 23\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177232, -354491, -531756, -709021, -886280, -1063527, -1240756, -1417961?\nAnswer: -1595136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(252) + 0 + 4 + -1 + -5)**2*-5*6.\nAnswer: 2160*sqrt(7) + 45540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.7 - -6. Let p = h + 1.1. Let b = -69.3 - -69. What is the second biggest value in p, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 38*t**2 - 29*t + 301. Give j(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 1041?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 963 = 185. Let n = -287 + l. Solve n = -2*c + 2*q - 8, 0 = -3*c - 2*c + 2*q - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3976 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwcccwutwbt. What is prob of picking 1 k, 1 u, and 1 t?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b6 (base 12) in base 13?\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 306\/(-27)*580\/(-725)*(-225)\/24\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/8 + 28*k**2. Determine c(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b = 5*f - 481, 3*f = 5*b + 270. Suppose -2*p = -p - f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/28 + (-36)\/(-21). Suppose q = -g, 5*p + 184 = -2*q - 0*q. Let b = -6 - p. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 8*f + 1. Let y be u(-8). Let r be 4 - 4 - (21 + y). What are the prime factors of 2 - (-3)\/(-2)*r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 7404?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119190*l**2 - 43824*l**2 - 75371*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1868752 divided by 3?\nAnswer: -1868752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 0 (c) -1085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*4\/20 + -31?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14412721 to the nearest integer?\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*q**3 - 8*q**3 - 17*q**3 - 8*q**3 - 17*q**3 + 7*q + 316 as j*q**3 + o + l*q**2 + w*q and give o.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1631*d - 2. Let h(a) = 1666*a + 2. What is 6*c(j) + 5*h(j)?\nAnswer: -1456*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264, 1, -4 in ascending order.\nAnswer: -264, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 + 0.9. Suppose 3*g + 6 + 3 = 0. What is the nearest to 1 in g, p, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 146 = -54 - 46 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -40*u - 3586. What is f(-79)?\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -335, -506?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 9. Let k be -6*((-8)\/3 - t). Let n be 2\/((4 - 1) + -4). Put n, 0, k in descending order.\nAnswer: k, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3599\/177*(-9 - (14 + -20)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -20. Let w(f) = -2*f + 21. Let t(j) = j**2 - 4*j - 3. Let d be t(6). Let o be w(d). Solve 0 = o*v + r*v - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9432 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 136*s + 388. What is k(2)?\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n**3 + 362*n**2 + 368*n + 5. Calculate u(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + 2 + ((-1*(sqrt(112) + -1))**2 - sqrt(112)) - (4*(sqrt(112)*1*-1)**2 + 2)).\nAnswer: -333 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 2*s. Give a(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/122 (b) 198\/19 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 + 10544*y**3 - 8663056*y**2 + 2259790080*y - 183732249600 = 0. What is y?\nAnswer: 190, 1128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 + -26 + 69)*(-3)\/((-75)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 - 10*j**2 + 2*j\/5 + 10.\nAnswer: -2*(j - 1)*(j + 1)*(j + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-12)\/16)\/((-1)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i**2 - 3 + 4 + 1 + 637*i**2.\nAnswer: 601*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -1548.\nAnswer: 3\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 18\/7*p**3 - 2\/7 + 2*p - 30\/7*p**2 = 0. Calculate p.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, -96, -207, -362, -561, -804?\n\"Answer: -22*b**2 - b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459 and 24?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 24*t + 3. Let r be w(24). Let k(l) be the third derivative of 1\/12*l**4 + 0*l**3 + 0 + 0*l - r*l**2. Let m(h) = -7*h. Calculate m(k(f)).\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -14) + (-7 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -248 (b) 28.3 (c) -66 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 + 13)\/((-1)\/2). Put 2, s, -14 in increasing order.\nAnswer: -14, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-6)\/45)\/((-136)\/85)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/15 - 1\/3. Sort 1, v, 2\/3 in increasing order.\nAnswer: v, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/12*(-4)\/(-6). Suppose 0*l = j*l - 63. Suppose 0 = -x - 2*y + 18, 0*x = x - y - l. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*b + 11, v - 9 = 4*b - 0*b. Suppose d - 2*g - v + 8 = 0, 5*g = 25. Let k(n) = 4*n + n - d - 8*n. Let o(q) = 4*q + 4. What is 5*k(w) + 4*o(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1311364, 1311377, 1311392, 1311409, 1311428, 1311449?\nAnswer: 1311472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*v - 40 = 135*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 14 = -2*q, -3*q - 80*j + 44*j = -34*j + 37 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 6 + 72. Let j be g\/7 - (-12)\/42. Solve -3*w + j*d = d + 25, d = 3*w + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 8*g - 30. Suppose -v = -2*p + 2 - 35, g*p = 20. Let j = v - -14. What is the greatest common factor of 44 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -88d - -2?\nAnswer: -88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 89 + 12*u**4 - 4*u**2 - 114 + 11*u**4 - 18*u**4 as q*u**4 + i*u**3 + o*u + k*u**2 + s and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 16 + (1 - -3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ec (base 15) to base 10.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -990*f**7\/7 + 779*f**3\/3 - 264. Find the third derivative of c(j) wrt j.\nAnswer: -118800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (9 + 1) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 84\/968119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22487812 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4.5, 16\/5, 0.1, -5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/6 + 4*j**3\/3 + j**2 - 20*j\/3 + 25\/6.\nAnswer: (j - 1)**2*(j + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r**(-1\/19)*r))**19 assuming r is positive.\nAnswer: r**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*i**2 + 22 + 270*i**2 - 57 + 35.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 143 and -521.26?\nAnswer: -74540.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*l - 11 + 5, -5*l - 3*q = -24. Suppose c = 2*b + 1107, -2*c - 176 = l*b - 2355. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(81))\/(sqrt(15)\/((sqrt(55) - (sqrt(55) - sqrt(880)))\/sqrt(11))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -0.241, -0.2, 0, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -7*f + 24. Suppose 3*t - 3*h - 21 = -h, -2*t + 4*h + 14 = 0. Suppose f*i = t*i - i. Solve 3*o - 3 = -i*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1727056853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1415810 and 130174?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -1.3, -5.223, -170?\nAnswer: -5.223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.011, 0.03, -114 in descending order.\nAnswer: 0.03, 0.011, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 1.2. Let k be ((-60)\/(-18) + -2)*6\/(-20). What is the second smallest value in 3, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 327*m**6\/20 + 1881*m**3 - 3837*m**2. What is the derivative of p(g) wrt g?\nAnswer: 5886*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 3*y - 24. Let v be q(7). Put v, 5, -3, -2 in decreasing order.\nAnswer: 5, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01149 take away -2?\nAnswer: 2.01149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 99 = -23*u. Suppose -3*h + 8*h = 10. Solve -u*l - 2*q = 16, -l - q = -h*q + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2 - 664088718*p + 36751152114573627 = 0?\nAnswer: 110681453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2874 divide 1345077540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5. Calculate the smallest common multiple of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/2 + 937*p**3\/2 - 6198*p**2 - 21866*p - 15200 = 0.\nAnswer: -950, -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + i + i)*(-3 + 1 + 1 + (-3 + 2 - 1)*(-1 + 0 + 2) + 2 + 5 + 0)*(48 + 108 + 18).\nAnswer: -1392*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144657 (base 10) to base 13.\nAnswer: 50ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:21 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 - -46. Let t = -29 - q. What is the highest common factor of t and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*u + 4786 = 21127. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*114\/(-76).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24262.\nAnswer: 2, 7, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (576\/(-63))\/(-16) + (-51)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.041 (b) -0.2 (c) 5 (d) 0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.302 and -199.73?\nAnswer: -459.77846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/4 - h**3\/3 + h**2\/2 + 7*h + 38. Let q be (1 - -1)*13\/(-26). Let n = 1 + q. Calculate i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 5*w + 8. Let x be (-4)\/3*9\/(-6). Solve 0 = l + x*s - 3, -5*l - 5*s - 13 = -w*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 1. Let j(x) = 5*x + 35. Let z be j(-6). Let b(g) = -13 - 7 - z - 6*g**2 + 44 - 5*g - 13. What is b(f) + 6*t(f)?\nAnswer: -6*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/2842*-203)\/((-14)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.1 and 143?\nAnswer: 141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159922021?\nAnswer: 7, 22846003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 1. Let s(f) = -25*f**2 + f + 3. Let z(q) = -s(q) - 2*x(q). What is the smallest common multiple of z(-1) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d - 2 - 42*d + 2.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5481a0 (base 11) to base 8\nAnswer: -3254312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/11)*i\/i**(2\/7))\/((i\/(i*i*i*i**(-5)\/i*i))\/i**(-2\/19)) assuming i is positive.\nAnswer: i**(-2966\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, -8, -3 in increasing order.\nAnswer: -8, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -62\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let j(n) = 101*n. Give z(j(t)).\nAnswer: -101*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 17 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 58*r + 61*r = d + 18, -3*d - 5*r + 12 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 411321592*g**4 - 120559482*g**2 wrt g.\nAnswer: 9871718208*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/390 - 173*r**4\/26 + 89787*r**3\/13 + 1346*r**2. Factor v(o).\nAnswer: 2*(o - 519)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 9 = -4*p - 3*c, 4*p = 2*c + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 0*a + 3*a + 11 - a. Calculate q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 65 = 2*g, 0 = 3*s - 5*g + 76 + 1. Let o = -14 - s. Solve 3*i - 9 = 4*a - 3, -2*i = -o*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*m - 85. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmvvmkvvv. What is prob of sequence mk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254570 is divided by 127266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x**2 + x - 11800. Let q be n(0). Round q to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/270*-12)\/(-4)*(-95)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 55 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 + -82. Let f(v) = 18*v - r*v - 9*v. Let j(y) = 15*y. What is j(f(x))?\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13269 + 0.48\nAnswer: 13269.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*r**2 + 31*j*r + 2633*j - 4*r**2 + r + 4732 wrt j?\nAnswer: r**2 + 31*r + 2633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 - c**2 - c. Let a(p) = -19*p**3 + 12*p**2 + 5*p + 52. Let b(h) = -a(h) - 4*t(h). What is the second derivative of b(l) wrt l?\nAnswer: 18*l - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -772 + 17753\/23. Let l = -13\/253 + u. Which is the smallest value? (a) -3 (b) l (c) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = 14*u - q + 12, -10*q = -4*u - 12*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 minus -0.14?\nAnswer: 116.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1179\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -121*a**6\/15 - a**5\/30 - 2267*a**4\/24 + a**3\/6 - 18*a**2 + 155*a. What is the third derivative of v(d) wrt d?\nAnswer: -5808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*j**2 - 154*j**2 + 428*j**2 + 2 - 144*j**2.\nAnswer: -34*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*x + 2 + 17 - 13*x wrt x?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, r: 5, h: 4}. Give prob of picking 1 h and 1 s.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-3)\/(-3) + -31. Let h = s + 34. Let o = -3 - -2.8. What is the closest to -7 in -1\/9, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*17\/408)\/(6\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d + 10. Let n be m(3). Let v(i) = i + 1. Let c(s) = 4*s + 4. Give n*c(k) + 7*v(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(180) + -3).\nAnswer: -18*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1576307*0.13.\nAnswer: -204919.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) -4 (d) 334071 (e) 47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/21))**(-3\/46))**(-4\/3) assuming p is positive.\nAnswer: p**(40\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138497.\nAnswer: 138497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -22. Suppose -5*b + 3*s = -62, -4*s - 15 - 1 = 0. Calculate the lowest common multiple of b and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248746, 248745, 248744, 248743, 248742?\nAnswer: 248741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31882.\nAnswer: 2, 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32626, 32667, 32710, 32755?\nAnswer: 32802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 365144013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -876*m - 47305 = 3503 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-16)\/(-3))*(-7353)\/3268?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1802502*u**2. Let s(v) = -7*v. Determine p(s(r)).\nAnswer: -88322598*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**7\/35 - 2*i**6\/15 - 7*i**5\/50 + 2*i**4\/15 + 4*i**3\/15 + 32*i - 2. Solve t(r) = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**5 + 2*z**4 - 14*z**3 - 89*z**2 + 4438108*z wrt z?\nAnswer: 80*z**3 + 24*z**2 - 84*z - 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2416731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18466 by 9.\nAnswer: 18466\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (-4701 + 1 + -1). What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 5780 = -19*r. Let j = 601 + r. Solve -3*w + 3*x - 2*x = 17, -3*x = -2*w - j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 11. Let x be b(7). Suppose 0 = x*s + 1 - 16. Suppose 0*v = -s*v + 180. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -306, -289, -218, -75?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, 0.2, 2\/7, -16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/12 + 55\/(-2). Let v = -15 - q. Calculate the common denominator of v and 85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -14*g + 18*g. Let a(t) = 160*t**3 + 4*t**2 + 11*t - 14. What is the remainder when a(1) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 - 94 = -b, 2*b = a + 7*b - 4 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 602*n - 75. Let w(v) = 200*v - 26. Let s(i) = -2*u(i) + 7*w(i). Differentiate s(f) wrt f.\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -752 - -1279. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1180)\/44 - (-4)\/(-22). Calculate the common denominator of -89\/18 and (-7 - (-186)\/(-6))*1\/m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1 - 22*a**3 + a**2 - 2*a + 58*a**3 + 3*a**2 - 2*a. Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6.86 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 54. Let l be y(0). Let u = -2 - l. Let a be u\/((-10)\/(-5)) + 4*-1. Calculate the highest common divisor of a and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:00 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, 24550, -1\/8, 0.5, 4, -0.2, -0.01?\nAnswer: 24550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -1.9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360\/(-480) + 6 + -1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 - 3*b**3 + b**2\/2 + 872. Let t be -1 + (11 - (-1 - -2)). Give q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - -64. Let q be ((3 + -1)*-5)\/(7 - 8). Calculate the highest common divisor of s and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.920216 millimeters in centimeters?\nAnswer: 0.6920216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 157. What is the remainder when v is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 + 2*f**3 - 4*f**3 - 3*f**3 - 8*f + 8*f + 6*f**3 + 4*f**3 - 18*f**3 + (-1 - f + 1)*(-f**2 - 1 + 1).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g + 24. Let i be l(2). Let x = i - 44. Let w be 0\/x - (-316 + 0). What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 19*z + 139. Let s be w(-7). Let a be s\/4*(272\/(-24) + 8). Let y(v) = -v**3 - 4*v**2 + 2*v - 6. Give y(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4090 - -7323. Calculate the highest common factor of r and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11836*t + 2*t**2 + 8 + t**2 - 11833*t to the form y*t**2 + c + z*t and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/5 - 5\/(50\/(-2392)) is divided by 140?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(1\/3)\/q)\/(q*(q\/(q*q**(-3)))\/q*q)*q**(-8\/3)*q**(-3\/10) assuming q is positive.\nAnswer: q**(-139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + 750\/21. Calculate the common denominator of 6\/(-4)*500\/m and 0 + ((-595)\/(-2))\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:06 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26350046 rounded to the nearest ten thousand?\nAnswer: -26350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:07 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(432) + -2 + sqrt(432)))**2.\nAnswer: -6144*sqrt(3) + 110848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3664*d*y - 21299*d + 469*y - 21 wrt y.\nAnswer: -3664*d + 469","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 + 2*v + 4. Let n be o(0). Find the common denominator of -133\/6 and (-93)\/n*(-12)\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49222*v - 79350?\nAnswer: -49222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {u: 2, z: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365211?\nAnswer: 23, 59357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4039693 + 4.\nAnswer: -4039689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38247 < 38247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 20 = -290*w + 286*w, 10 = 3*g + 4*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -85050*l + 170107. Calculate c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33418731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.003156ug to tonnes.\nAnswer: 0.000000000004003156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1717 is divided by 169?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-92)\/(-14))\/(18\/63). Suppose 3*q - b = -41. Let t be q\/(-33) + (-4)\/22. Solve 3*r + 2*i = -2*r - 2, -5*i - 5 = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42697305 to the nearest integer?\nAnswer: 6534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 6*t**3 + 5*t**3)*(59*t - t + 33*t) + 4*t**4 - 2*t**4 + 0*t**4.\nAnswer: 730*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/42)\/(8\/(-6)). Let g = 0.7 - 5.7. Sort 0, g, m in ascending order.\nAnswer: g, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q + 25*q - 470 = 14*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*o + 8 = -7, -2*x = -5*o - 10. Let a = 9 - x. Suppose 6*z - 48 = a*z. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syslhycycsclyyylyyp. Give prob of sequence hcpl.\nAnswer: 1\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = 92*h - 140. Solve -8 = h*o + 2*z, -o - 8 = -10*z + 13*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4700, -9456, -14266, -19130?\nAnswer: -24048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2902 is divided by 98?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a. Let l(m) = -3*m. Let q(w) = -8*g(w) + 3*l(w). Let j = 18 - 16. Let o(p) = 9*p**2 - 2*p**j - 3*p**2. Calculate q(o(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 608 + a1?\nAnswer: 6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -319195, -638391, -957587, -1276783, -1595979, -1915175?\n\"Answer: -319196*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93574.3 millilitres?\nAnswer: 93.5743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*464.\nAnswer: 185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/46878 and 31\/36.\nAnswer: 281268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 71*g + 657. Let j be q(-60). Suppose -5*p = -4*p + 30. Sort p, -1, j in decreasing order.\nAnswer: -1, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/(2\/(-4)) - 150. Let o = m - -159. Solve o*v = 5*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.03 + -0.03. Let x = 4 - r. Which is the closest to -0.02? (a) -0.3 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2863*g**3*u**2 - 3*g**3 - 43578*g**2*u**2 + 2*u**2 wrt g.\nAnswer: -17178*u**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -1\/5*j**5 + 768\/5 + 72*j**3 + 224*j**2 + 304*j + 8*j**4 = 0.\nAnswer: -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.942545325299 minus -0.027?\nAnswer: -1.915545325299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9889771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**1\/l*l**(-5)\/l)\/(((l**1\/l)\/l)\/(l*l*l**(-3\/2)*l)))\/((l*l**(-1\/3)*l)\/(l*l\/l**1*l))**(-2\/61) assuming l is positive.\nAnswer: l**(-553\/366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v**2. Let y be c(1). Let r be 2\/(-2 + y\/(-4)). Solve 2*f + r*w = -2*f - 4, -5*f = 4*w + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) -0.3 (c) 12\/7 (d) 1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -30*u**2 - 61*u + 125. Let f be l(2). Let k(o) = -24*o**2 - 2. Let p(s) = 1391*s**2 + 117. Calculate f*k(m) - 2*p(m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*x + 4*l, 28*l - 23*l - 6 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.88 + 0.12. What is the nearest to 0.1 in -5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.8999967 + 6.9. Round h to seven dps.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 41*z. Let x(f) = -2*f. Give g(x(q)).\nAnswer: -12*q**2 + 82*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139312722 is divided by 2034?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 16*z**2 + z - 8. Let s be k(16). Are s and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:23 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 41 = -0*x - x, 3*x = -o + 133. What is the second derivative of x - 44 - t**5 - 4*t + t wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*l - 25*l - 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6718 is divided by 198?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461141678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 13 + 43*c - 40*c + 8*c**2.\nAnswer: 23*c**2 + 3*c - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -106*p - 16. Let d(t) = 35*t + 5. Let j(v) = 16*d(v) + 5*s(v). Let y(r) = -3*r**2. Determine j(y(i)).\nAnswer: -90*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 977 and 997517?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14251602 divided by 1\nAnswer: 14251602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1160*b**4*f - 4*b**3*f + 162*b**2*f + 31*b + 176035*f wrt b?\nAnswer: -13920*b**2*f - 24*b*f + 324*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237175 by 237175.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35795)\/1302938*7\/10.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277676 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s**(-2))\/(s\/s**1)**17 assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3902623?\nAnswer: 167, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39206.3 rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -617206, -617197, -617180, -617155?\nAnswer: -617122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -121353 (base 6) in base 14?\nAnswer: -3ca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 2. Let q(p) = -9*p**2 + 5 - 8*p - p + 9*p. What is 4*q(j) - 10*r(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 338*d**2 + 6035*d + 15. Calculate a(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -54 (b) -0.1 (c) 36 (d) -364 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - 2*a**2 + 3*a - 8. Let h(f) = 7*f**3 + 2*f**2 - 5*f + 15. Let w(n) = 5*b(n) + 3*h(n). Let t(d) = d**2 - 1. What is 5*t(p) + w(p)?\nAnswer: p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**28)\/o**25 assuming o is positive.\nAnswer: o**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a factor of 1582278281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 12 - 7 - ((-416)\/8 + 4).\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 7836*f**2 + f + 3899*f**2 + 3844*f**2 + 19.\nAnswer: -93*f**2 - 2*f + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138676521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18996 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:05 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/9 and -43\/12441?\nAnswer: 37323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20202100 + -1112211?\nAnswer: -22022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0223845 to 4 decimal places.\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-6\/7)*u*(u\/(u*u**3))\/u*(u**(-2\/5))**(-6) assuming u is positive.\nAnswer: u**(-16\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + o - 5 = -2*o, -2*o - 5 = -5*f. Let d = -25 + 14. Let r = 19 + d. Calculate the highest common factor of r and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6976 and 654.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let s(q) = -8*q. Let l be s(1). Let x = l - -4. Which is the smallest value? (a) p (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(-3 - 4 + 4 + (0 + 2 - 4)*(-3 + 6 - 4))*(883*u + 2113*u - 2009*u) to the form w + f*u and give f.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 3*b**5 + 13*b**4\/2 + 821*b**2\/2 - 160. Find the second derivative of o(z) wrt z.\nAnswer: 180*z**2 + 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 209695*p\/3 - 7338100\/3.\nAnswer: -(p + 35)*(p + 209660)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 4*i**3\/9 - 10*i**2\/3 + 8*i + 5. Determine s so that b(s) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1342 - 896. Let r = p - 297. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -9. Calculate the common denominator of (b - -1)*(-62)\/(-45) and (104\/36)\/1 - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*n**2 + 75755859*n - 68868990.\nAnswer: 3*(n + 2295633)*(11*n - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27814118 or 27814101?\nAnswer: 27814101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -30*q**3 + 5*q**2 - 22. Let t(k) = 150*k**3 - 24*k**2 + 111. Let y(g) = 24*h(g) + 5*t(g). What is the derivative of y(o) wrt o?\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518*q - 14690 = 1327 + 559 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**9\/60480 - w**8\/3360 - w**7\/420 - w**6\/90 - w**5\/30 - w**2. Let n(l) be the third derivative of p(l). Factor n(o).\nAnswer: -(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2251525, 9006123, 20263787, 36024517, 56288313, 81055175?\n\"Answer: 2251533*x**2 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/15)*j\/j**(-2\/7))**(2\/55) assuming j is positive.\nAnswer: j**(452\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/14)\/((-44)\/(-308))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -344042 (base 8) to base 4\nAnswer: -130200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 223703.\nAnswer: 89481.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 5*j**2 - 6*j. Let b be s(-6). Suppose b = -m + 13 + 6. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/4 - 827*t - 1653 = 0. What is t?\nAnswer: -3306, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-3)*(-9)\/(-5). Let u be (k\/(-9))\/(18\/(-999)). Solve 5*h - 5*t + 2*t = u, 0 = -5*h - 3*t + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.15, -4\/5, 20\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12994297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 5*r - r)*(3*r + r**3 - 3*r) + r**4 - 3*r + 3*r - 3*r**3 + 2*r**3 + 11*r**4 - 4*r**4.\nAnswer: 6*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2178) - (sqrt(1800) + sqrt(1800)*3))\/((2*sqrt(576) + sqrt(576))*3 + -3*sqrt(576)*-1).\nAnswer: -73*sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. Let v(r) = 1 + 28*r**2 - 13*r**s - 8*r**2 - 2*r. Determine v(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7. Let r be 25\/l + (-4 - -4). Let w = r + -10. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*s - 271 + 245, h = s - 10. Let g(j) = -j**2 + 3*j + 1. Let t be g(4). Let b be 3\/t + (-6)\/(-2). Solve b*r - s = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 13475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -3) + (-6 - -15) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192159 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 + 14488*i - 13118884 = 0.\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 14) + (-12 - -4) + 3 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let s(z) = 137016*z**2. Calculate q(s(k)).\nAnswer: 274032*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 + 4658*w**2 + 1722318*w - 5208930 = 0. Calculate w.\nAnswer: -1867, -465, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 3 (c) -0.15832 (d) 6.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -12, 5*u + 5*c - c - 32 = 0. Solve -q = u*l - 11, -2*q = 2*l + 2*l - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2\/5 + 416*b\/5 = 0 for b.\nAnswer: -104, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**3*g**2*k + 4*f**3*g**2 + 12*f**3*k - f**3 - f*i - 2*i*k wrt k.\nAnswer: 3*f**3*g**2 + 12*f**3 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*((-64)\/(-24))\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 19 = 5*g, -g + 3*g - 5*m - 26 = 0. Suppose 0 = -4*j - 4*h + 5 - 17, j - g*h = -7. Let o(f) = -f - 2. Determine o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90665002 to the power of 1\/2, to the nearest integer?\nAnswer: 9522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11991709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 1. Let o = -3 - -5. Let s be u(o). Which is the smallest value? (a) s (b) 0.5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**4 + 13*x**4 - 8*x**4 - 2 + 5*x**2 + (-x**2 + x**2 + x**2)*(2*x**2 - x**2 - 3*x**2) - x**4 + x**4 - 2*x**4.\nAnswer: -6*x**4 + 5*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2630, -2641, -2678, -2753, -2878?\nAnswer: -3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 378 + -170. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2001069*x**6 - 195*x**2 + 3*x + 115 wrt x?\nAnswer: 240128280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 40*x**2.\nAnswer: -5*x**2*(x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + (-99)\/108*-6. Suppose -7*m + 2*m = f - 68, -2*f - s*m = -136. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -39*4\/(-12)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17130835?\nAnswer: 5, 3426167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4407 + 4437. Which is smaller: a or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84 - -101?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.2, -9, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d4c (base 16) in base 13?\nAnswer: 9012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 44. Let m be 1\/(-4)*1 + 250\/40. Solve -m = i - c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x - 20. Suppose -28*p + 29*p - 5*m = -5, -2*p = m - 12. Put x, 2, p in ascending order.\nAnswer: x, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 50 = 43. Suppose -2*z + 4*u = 46, 0*u - 40 = 2*z - u. Let k = -7 - z. What is the remainder when p is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1733 = -12*q - 797. Calculate the remainder when 165 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.71\nAnswer: -0.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**5 - 2*q**3 + 0*q + 0*q**2 + 0*q**6 - 4\/7*q**7 + 0*q**4 + 3. What is the third derivative of c(m) wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22.6? (a) -4 (b) 1 (c) 270 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let x(y) = -12*y**2 + 77*y - 8. What is the remainder when x(6) is divided by (-2)\/c + (-52)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.126 - -8.9.\nAnswer: 0.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 11\/42?\nAnswer: 11\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/826828 and 13\/40.\nAnswer: 8268280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 - 2*a**2 - 4*a**2)*(-14 - 10 + 19) - 2*a**2 + 1 + 5 + 2 as o*a**2 + z*a + x and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 25 = h, h + 235 - 44 = 8*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -356 - -357. Which is the closest to r? (a) -3 (b) 1\/7 (c) 0.008 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16564803418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(14)\/sqrt(2))**2)*6 + -5 + 0.\nAnswer: 6*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 1\/160*l**6 + 0*l**3 + 0 + 18*l**2 + 1\/96*l**4 - 1\/840*l**7 - 1\/80*l**5 + 0*l. Factor j(k).\nAnswer: -k*(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3338514587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*l - 184*l + 29 - 454*l - 979*l.\nAnswer: -1270*l + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.1 + 46. Let f = -25 + 73\/3. What is the nearest to f in -3, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - a04a7?\nAnswer: -a0502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 5, 22, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**2 - 23*t**2 + t + 11*t**2 + 1)*(0 + 0 - 5) + (-2*t - 4 + 4)*(-2*t + 3 - 3) + 2*t**2 + 4625 - 4625.\nAnswer: t**2 - 5*t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + 0)\/(1 + 1 + 0). Suppose 8 = -t*l - d - 4, 0 = -3*d. Let u(n) = -15*n - 5. What is the tens digit of u(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 1414740.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -57. Let t be (-5)\/20 + n\/(-4). Let c = -2 - -5. What is the nearest to 2\/5 in c, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 16*s - 4. Let x(w) = 5*w**2 + 42*w - 8. Let o(r) = 3*x(r) - 8*y(r). Let u be (0 + 1)*21\/(-3). Calculate o(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/100 + 176\/45)\/(1\/18)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 23*y + 93. Let t be w(-18). Suppose 5*f = 4*d + 92, 10*f = 11*f - t*d - 25. What is the greatest common factor of 368 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l**2 + 19*l - 19*l + 19*l**2. Let r(h) = -h**2. Calculate r(v(i)).\nAnswer: -81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -74 + 14. Let d(f) = -f**3 + 12*f**2 + f - 12. Let l be d(b). Suppose 6*s - 2*s - 2*j = -60, 0 = 4*s + j + 60. Put l, s, 1 in descending order.\nAnswer: 1, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + 0*y)*(-y + 2*y + 0*y)*((-2*y**2 - 2 + 2)*(-3*y - 2*y + 3*y) + (0 + 1 - 2)*(y**3 + 13*y**3 + 3*y**3)).\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 795422655 to the power of 1\/2, to the nearest integer?\nAnswer: 28203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = c - 11. Suppose 3*n - c = 1. Let g(l) = -l**3 + 2*l**2 - 3*l. What is g(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 + 13996*z**4 - 649864*z**3 + 3048224*z**2 + 59167360*z + 142719488 = 0. What is z?\nAnswer: -4, 17, 38, 3452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 2067?\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7421040 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + y = -4*y + 65, 5*c - 5*y = 175. What is the lowest common multiple of c and 55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 0.2 (c) -0.3 (d) 4 (e) -1\/198\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from jkkkjkkjdjkjkkkm?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000072923 rounded to 7 dps?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137752 divided by -67?\nAnswer: -2056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341971?\nAnswer: 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735841443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 10 - (1 + -3)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-9)*-4*-3. Suppose w - 5*w = -h. Is w less than or equal to 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 129. Suppose x*n = 32*n - 76. Solve n*r = -4*a + 3*a, 3*a + 2*r = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 2*c + 95. Suppose u = 3*u - 5*w + 23, 6 = 2*w. Let l be 1\/u - 4\/(-16). Is y(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -169, -445, -1009, -1963?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(21\/(-3) + 2). Let o(p) = -p**2 - 5*p + 3. Let y be o(n). Let c(g) = 4*g**2 - y*g - 2*g**2 - g**2 - 3. Determine c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3771 is divided by 576.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, n: 2, f: 1}. What is prob of sequence nc?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -625, -1691, -3195, -5143?\nAnswer: -7541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1, -0.6, -28, 2\/3, -5\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -2, -0.3, -0.006, -3\/4, 17?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**1))\/((l*(l**(1\/3)\/l)\/l)\/l))\/(l*l\/((l*l**(-5\/6)*l)\/l)*l*l\/l**3))**(-8\/9))**4 assuming l is positive.\nAnswer: l**(-176\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2340)\/570 + 8\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000143 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/3 + 574022*t**2\/3 + 41188518080*t\/3 + 41186796032 = 0. What is t?\nAnswer: -143504, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.192743ng to kilograms.\nAnswer: 0.000000000005192743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003358609493 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1001 and -2.\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 634.1608 days?\nAnswer: 15219.8592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 1. Let t be x(1). Suppose q - n = 3, -3*q = -t*q - 2*n - 9. Suppose -12 = -5*u + 8. Solve -u = q*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 7*u + 3. Let k(w) = -15*w + 198. Let i be k(13). Give j(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 - 40\/42. Let g = 284\/5 - 56. What is the closest to a in -0.4, g, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/20 - 3*q**2 + 2*q. Suppose -33 = 4*b + b - 4*h, 4*b + h + 18 = 0. Is c(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 4)*(4*v + 1 - 1) to g*v + u and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 105, 388, 941, 1854, 3217, 5120, 7653?\nAnswer: 10906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 0, -4\/31, -1?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m - 5. Let a(s) = -18*s - 82. Let f be a(-5). Determine o(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -2*x**2 - 4*x - 1450. Let j(b) = b + 1. Let z be j(-4). Determine d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - s = -4*s + 234003, 2*s - 117002 = -f. What is f rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -i - 4, -4 = 2*i + i + u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23810 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/54*(-52)\/(-2). Suppose h*y - 5*y - 1568 = 0. Calculate the greatest common factor of 56 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -42*f**2 - 9. Let y(n) = -20*n**2 - 4. Let t(u) = 4*c(u) - 9*y(u). Let l(i) = -17*i**2. What is t(l(v))?\nAnswer: 3468*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**4\/4 - b**3 - 3*b**2\/2 - 63. Suppose -p - c + 6 = 0, -5*c + 2 = 4*p - 25. Let k be -2 + -1 + p + -2. Calculate u(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122.6 and 2.\nAnswer: -245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let b(u) be the first derivative of -7*u**3\/3 - 34. Give b(v(l)).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(297\/(-176))*6\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, m: 3, h: 1, y: 2, v: 1, k: 1}. What is prob of sequence kv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 674*r**2 + 335*r**2 + 333*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 161*k + 649. Determine p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957321598 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3*b + 2, 3*j + 9*b + 2 = 8*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/51 - 155\/102. Let c = 3 + -3.3. Let y = c - -0.5. Sort p, y, -1\/9 in descending order.\nAnswer: y, -1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -767 - -8431\/11. Let u = -333\/7 - -2747\/42. What is the common denominator of u and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(40)\/sqrt(5)))\/(sqrt(6) + (sqrt(6) - sqrt(6)*-3)*-3).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/13))**19 assuming o is positive.\nAnswer: o**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -v - 12026, -1868 = -2*b + 2*v + 6140. What is the greatest common factor of b and 955?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 959 = 49. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000262951 to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069723195?\nAnswer: 5, 191, 223, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75600303*l**2 + 38095863*l?\nAnswer: 151200606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - l**3 + 4*l**3 + 96*l - 4*l**3 - 96*l + 7*l**2 + (2*l**3 + 0*l + 0*l)*(-4 + 3 - 3).\nAnswer: -9*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 1*3\/(-3) - -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 199 - 184 = 5*j, -3*u = -3*j + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -461077, 0.5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 + -4.686777123\nAnswer: -4.766777123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 25. Which is smaller: 22 or f?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5604 - 7390. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*m + 10 = 0, 0 = b - 2*m + 5 - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -44*z. Let w(n) = -55582*n. Give w(x(p)).\nAnswer: 2445608*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1437.672cm in nanometers?\nAnswer: 14376720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**4 + 3*b**4 - b**4)*(1 + 1 + 0) + 3836*b**2 - 52*b**4 - 3836*b**2 to w + a*b**2 + j*b**4 + r*b + h*b**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-11) - (1*14 + 47472\/(-1419) - -16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26957526*-0.03\nAnswer: 808725.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*p + 3 = 0, -11*p + 3 = 3*x - 6*p. Are x and 8\/3163 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 1 - 1)*(69 + 12 - 31).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**4\/2 + d**3 + 126*d + 104. Differentiate h(u) wrt u.\nAnswer: -6*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2. Let f(i) be the first derivative of 3*i**2\/2 - 5*i + 487. Give f(o(d)).\nAnswer: 6*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 8 - 2)*(11*b**3 - b**2 + b**2) to the form r*b + c*b**3 + v + a*b**2 and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642528 divided by -8.\nAnswer: -80316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**3*z))**46*z*z**(2\/5)*z*z*z**(2\/11)\/z*z assuming z is positive.\nAnswer: z**(-7393\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + 38*d**2 + 24*d - 246. Calculate g(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/5 - -1 - -6. Let c be (-2 + 18\/w)\/((-1)\/(-1)). Suppose -4*n - 4*y + c = -3, 3*n = 2*y + 8. Solve 6*k = n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -3680412.\nAnswer: 368041.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37279689*f**2 + 18639855*f**2 + 2*f + 18639845*f**2.\nAnswer: 11*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**3 + 1199. Let l(o) = 3*o**2. Let n(z) = -5*z + 5. Let j be n(2). What is j*l(w) - 2*c(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 348\/767 + -54\/59. Which is the closest to 1? (a) v (b) -2 (c) -4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 26 = 5*b, -3*b + 5*n + 4 + 6 = 0. Let v = -11 + b. Let x = 8 + v. Solve 5*j - j = -p + 17, x*p = 2*j + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 379184510?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 371, 542, 693, 818?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.016 - 0.604. Let n = -13.62 - c. What is the nearest to 1 in -1, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 3*b**3 + 0 + 0*b - 4.\nAnswer: -3*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 2*z + 3. Suppose -13 = -2*v + 5*f, 2 + 0 = v + 2*f. Let h = v + -2. Let a(u) = 9*u**2 - 5*u - 7. Calculate h*a(i) + 5*t(i).\nAnswer: -2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8)*8\/(-2). Solve -12 = -2*a + 5*w - 0, -i*a = 5*w + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 19*d**2 + 17*d - 198. What is g(-17)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 19563460 to the nearest 10000.\nAnswer: 19560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11651843 - 0.04\nAnswer: 11651842.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12 = -z. Let x(g) be the second derivative of -1\/15*g**6 + 0*g**z + 1\/6*g**4 + g + 0*g**5 + 0*g**2 + 0. Find the third derivative of x(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1939*t**3 - 823*t**2 - 3 wrt t.\nAnswer: 11634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853.901m to micrometers.\nAnswer: 1853901000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 11194 = -106. Let d = g + -634. Suppose -2*r - 16 = 2*r. Sort -1, r, d in decreasing order.\nAnswer: -1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 13 = 3*o - 2*i, 4*i = 289*o - 246*o - 231 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.539 and 29.6891.\nAnswer: 45.6915249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 1. Let c(r) = -2*r**3 - 22*r**2 - 21*r + 1. Let q(v) = -c(v) + m(v). Factor q(i).\nAnswer: i*(i + 1)*(i + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127695813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2712 and -32\/75.\nAnswer: 67800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 101, 144, 31, 4 in descending order.\nAnswer: 144, 101, 31, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2236 or 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -4, -0.1, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5) - (sqrt(15)\/sqrt(3) - sqrt(5))) + 3)*2.\nAnswer: 6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3*g**2 - 7)*(0*g - g + 0*g) + 6*g**3 + 4*g - 4*g.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*n + 1)*(-15 + 1 + 109).\nAnswer: 190*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11785*w + 10. List the prime factors of s(1).\nAnswer: 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 1074387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2d8870 (base 16) to base 7\nAnswer: 34235564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21*q + 6. Is n(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111323022 (base 4) to base 7\nAnswer: -522546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2 + 2*x + 3. Let l be a(-10). Let p = l + -11. Calculate the highest common divisor of p and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -4*q**3 - 4*q - 1\/2*q**2 + 0. Is v(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(2\/5))\/q*q)**(1\/2))**(-10))**(-38) assuming q is positive.\nAnswer: q**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + g - 21 = 0, 87*x - 89*x - g - 9 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3003, 6006, 9009, 12012, 15015?\nAnswer: 18018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 49, 1, 6, 4 in decreasing order.\nAnswer: 49, 6, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7816\/32 + (-1)\/4. Let d = -19 + -1. Does 3 divide (-3)\/15 - f\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 12\/(-8))*1474\/(-670)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:16 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1067332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*a - 10, -9*m - 5*a = -12*m + 17. Solve i + 8 - 1 = m*d, 3*d = -4*i + 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4733 to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -55, 0, 154, -3, -4, 4 in descending order.\nAnswer: 154, 4, 2, 0, -3, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 8*n + 3*n + 0*n. Let i(u) = -2*u**2. Determine i(x(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4250 - 3455?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from rubbr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-4 - -2) + (-7 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -48. What is the remainder when (-504032)\/(-4974) - (-20)\/(-6) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57463517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ec5 - 6b?\nAnswer: 3e5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -3\/7, 113, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12*(-80)\/(-1350))\/(10\/60)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2015 - -2869. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214329.\nAnswer: 181, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -22. Suppose -q + 2*q - z = 0. Let k(f) = -70*f. Let c be k(-1). Calculate the greatest common divisor of q and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 21*w = -153. Let g be (15\/306)\/1 + (-6)\/w. Sort -1\/7, g, 0, 2\/9 in descending order.\nAnswer: 2\/9, g, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.3 - 43.7. Let v = b - -37. Let p = -15.029 - -0.029. Sort p, 0.5, v, 3\/4.\nAnswer: p, v, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 24. Let y be -4 - -2*(-1)\/8*-4. Let b be y\/((-9)\/d) - 1. Solve 4*p - 3*w + 7 = 2*p, -5*p + b*w + 5 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 + 92. Let x be (-2)\/c - 291\/966. What is the biggest value in x, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/4)*t**(-1\/2))**(-3\/4)\/((t**(2\/13)*t*t**2)\/(t**(1\/3)\/t*t)**26) assuming t is positive.\nAnswer: t**(3089\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 + 2*a**3 + 2*a**3)*(-a + a - a)*(109*a - 40*a + 23*a).\nAnswer: 92*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 10282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/9 + 136*l**4\/9 - 7562*l**3\/9 + 21704*l**2\/9 - 4760*l\/3 = 0.\nAnswer: -105, 0, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = f. What is the derivative of 0 - 3 - 2*c + f*c wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 20 = -4*a, 3*a = 62*v - 63*v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -0.4, -0.1 in decreasing order.\nAnswer: 4, -0.1, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(5684\/(-1334))*(-8)\/2\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008021 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - z + 2. Let r be h(0). What is the closest to 2\/7 in r, -4, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 + 4*i**2 - 2*i**2)*(5*i + 12*i - 3*i) + 2 - 2 + 2*i**3 to d*i + w + h*i**3 + o*i**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.011 + 6.211. Let y = b + -6.199999908. What is y rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*g = -3*g. Which is smaller: 2\/27 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 46 + 3*f)*(-2*f + 2*f + f**2)*(-31 + 8 - 12).\nAnswer: -105*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -219, 4 in descending order.\nAnswer: 4, 2, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 16*j - 243. What is the highest common divisor of j and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -17. Suppose -2*s - 5*a + 84 = 0, -11 = -s + b*a + 13. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bbdd - -24?\nAnswer: -bbb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6539829?\nAnswer: 3, 53, 41131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5 - 3. Suppose -d*a = 4*u + 42, -4*u + 0*u - 5*a = 39. Let l be u\/(-5) + (-1)\/5. Is 2 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13*m**3 + m**2 + 3*m - 3. Let j(i) = -i**2 - i + 1. Let d(u) = 3*j(u) + x(u). Find the third derivative of d(v) wrt v.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 18*w + 62 = 0. Let i(b) = -228*b**w + 116*b**2 + 114*b**2. Let d(t) = -28*t. Give d(i(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3121980260.\nAnswer: 2, 5, 7, 41, 83, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*5\/(75\/18). Let r(n) = 14 - 9*n + 3*n**2 - n**2 - n**2. Let u be r(10). What is the greatest common factor of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 3. Let l be b(3). Let q(m) = m**3 - 34*m**2 + 68*m - 121. Let u be q(32). Solve -2*s + 2*k + 10 = l, -3*s - 3*k + 4*k = -u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 216*y + 8557. Calculate v(170).\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*n = 793 - 428 - 419, -5*k = -9*n + 201 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let g(r) = -1229*r. Calculate g(t(l)).\nAnswer: 1229*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**3 - 4*i**2 + 4*i**2 - 84*i + 84*i - 16*i**3 + (-2*i**2 + i**2 + 0*i**2)*(-6*i + 2*i + 2*i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 18.66. Let q = l - -3.44. Let m = q + -0.1. Which is the biggest value? (a) -3\/4 (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + -8 - 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19667313 divided by 1\nAnswer: -19667313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(13\/52)\/(70\/720).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.45 in -26.01, 4, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -451 + 4531\/10. Calculate the common denominator of c and -4 - -4 - 15\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4531*k**2 - 8 + 0 + 40 - 2266*k**2 - 2268*k**2.\nAnswer: -3*k**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**(-1\/2))**(-10\/7)*((d**(1\/6)\/d)\/(d\/(d*d**(-5)\/d)))\/(d\/(d*d**2)*d*d**(-2)) assuming d is positive.\nAnswer: d**(109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 34748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216122129.\nAnswer: 2293, 94253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 169370 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.822.\nAnswer: -4.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**2 + v + 180. Let i = -16 - -10. Give r(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/8)*y)\/y**(-6)*y**(3\/4)*y*y**(-5)*(y**6*y*y**(-3\/8))\/(y*(y\/y**(-4))\/y*y**(2\/11)) assuming y is positive.\nAnswer: y**(53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:47 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/14 - 20\/(-35). Suppose j + 12 = y*j. Solve j*l + 5*r = -27, 3*l + 0*l - 3*r = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, m: 1}. What is prob of sequence ea?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + y - 1 = w, 5*w + 13 = -2*y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2) + (8 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a**3 + 0 - 84*a**2 + 0*a + 7\/24*a**4. Let x(o) be the third derivative of -o**5\/12 - 2*o**2. Determine x(j(t)).\nAnswer: -245*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158192, -171881, -194690, -226613, -267644, -317777, -377006, -445325?\nAnswer: -522728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + 11*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19878 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 824*q - 23936. What is l(29)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(15 - 15 - 25*d)*(17 - 4 + 3) + (-d + 0*d + 2*d)*(-1 - 1 + 4) as n*d + q and give n.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/4)\/((-50)\/75*(-7)\/(-70)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2 + 13. Suppose 0 = -y - 3*t + 14, 3*y = 2*y - 5*t + 24. Let r be (3 - 1)*4\/10 + y. Which is the smallest value? (a) n (b) r (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 3. Let p(a) = 1. Let n(z) = 6*p(z) + 2*q(z). Suppose h - 10 = -4*h. Let l(b) = -1 - 4*b**2 + 1 + 3*b**h. Give n(l(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/(-32) - (-1 + -2)\/(-12). Suppose q*r - 22 = -16. Solve 9 = -r*o - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -519 - -534. Suppose -m*b + 1572 = -9*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 - (2 + 40 + 12 + (-31 - 2))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.1 (c) -4 (d) 2\/563\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6808404*0.02.\nAnswer: -136168.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2590 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 8*g = -182. What is the smallest value in g, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 104. Suppose -4*f + 5*l + r = 0, 3*f + 2*l - 55 = -2*l. Calculate the highest common factor of f and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-23))\/(a*a**(3\/4)*a*a) assuming a is positive.\nAnswer: a**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 2*m - 1. Let p be i(1). Let d = 894 - 867. Solve 7 = p*b + d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -306378*h**4 - 39*h + 105183835 wrt h.\nAnswer: -1225512*h**3 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**2))\/v**(-1\/5) assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/7*(-15890)\/(-13620).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l + 4. Suppose 5*x = -4*q - 37, -4*x - 23 - 6 = 3*q. Is q less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*o**2 + 8*b*o*x - 74*b*o - 2*b + 62304*o**3 - 5*o**2*x - o*x + 10*o + x wrt o.\nAnswer: -4*b + 373824*o - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1540546 = -1540545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.6768951 rounded to 2 decimal places?\nAnswer: -105.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m + i - 57 = 0, -5*m + 71 = i. Suppose m*g = 11*g - 15. Let h = 0.2 - 0.1. Is h bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1548317*r*v**3 + 12717*v**3 - 33*v wrt r.\nAnswer: -1548317*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-369)\/(-1230))\/((-12)\/(-5)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/4)*c)\/(c*(c*c*c**(-4\/7))\/c)*(c\/c**(-1))\/c*c**3*(((c*c**(-1\/6))\/c)\/(c**2\/c*c))\/(c*(c*c**1)\/c*c*c\/((c*c\/c**(-7))\/c)) assuming c is positive.\nAnswer: c**(475\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 4. Suppose -5*q - c - 26 = 0, -3*q + 16*c - 11*c - 10 = 0. Let d(u) = 10*u - 5. Determine q*i(k) + 4*d(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/12017 and -87\/1970?\nAnswer: 120170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let l(g) = -187*g - 266. Give l(w(r)).\nAnswer: -187*r - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 868.20903 nanoseconds?\nAnswer: 0.000000000010048715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6233 + 6238. Put l, -2, 2, 0.3, -2\/7 in increasing order.\nAnswer: -2, -2\/7, 0.3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:29 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-87)\/58 - 14090\/(-9388). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1217*y + 6*y**3 - 1217*y - 4.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:11 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 293328706 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2636*v**2 + 20*v - 21*v + 2644*v**2 in the form g*v + i + l*v**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/12 + 5\/(-3). Let k be 0 + 14\/8 + z. Is -1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65) + sqrt(65) + sqrt(65) - sqrt(65))\/sqrt(5) - (1*sqrt(104))\/sqrt(8).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*u**(-1\/3)))*u*u)\/u)\/(u*u*u**(4\/13)))\/((u*(u*u\/(u*u\/(u\/((u\/(u\/(u\/(u\/(((u*u**(-1\/3))\/u)\/u)))))\/u))))\/u)\/u**(-1\/2)) assuming u is positive.\nAnswer: u**(-349\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023 a factor of 227443402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 82081614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 2239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 4*q**2 + 11*q + 13. Let d = 82 + -87. Does 12 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - l**2 - 23*l + 11. Calculate n(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 - 4 = 0. Suppose p = x - 2*x + q, -2*x = 3*p. Let m = -2 + x. Sort m, -2, 3 in ascending order.\nAnswer: -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*r + 1797 = 624 - 1716 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let d(m) = -643*m. What is s(d(b))?\nAnswer: 643*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/((sqrt(3) - sqrt(3)*-1)*-1) + (sqrt(1216) - 3*(sqrt(1216) + sqrt(1216) + -2*sqrt(1216)))**2.\nAnswer: -sqrt(19)\/2 + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 10 - 0. Let s = -172 + 168. Let t be (-22)\/44 + 0 + 2\/s. What is the closest to -1 in b, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 7. Let q be v(-7). Suppose q*w = 6*w. Solve 2*k = -w*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + 64. Calculate the remainder when a is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 9*y - 2*y + 2*y + 9*y + 7*y**2 + 4.\nAnswer: 7*y**2 + 18*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-36))\/(5\/30).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 13675 - 4792. What are the prime factors of w?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 3*r**3 + r**3 + 220771 - 3*r**2 - 18*r**3 - 220771 - r**3 + 3*r**3 + 0*r**3 + (-3 + 3 - 2*r**3)*(4 - 4 - 1).\nAnswer: -12*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -438 (b) 2\/5 (c) 212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -384.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Which is the closest to -0.1? (a) 4 (b) 0.03 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j - j)*(-971*j - 10851 + 10851).\nAnswer: 1942*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(108)\/(1*sqrt(12))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 174)*(-2)\/(-6). Suppose -2*b = 0, -95*b = 3*o - 94*b - 60. Let u = p - o. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 51 = 11. Solve -w*v - 8 = -88 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4386*d**2 - 748*d - 748. Let k(z) = 1090*z**2 - 187*z - 187. Let i(a) = 4*c(a) - 17*k(a). Let v(j) = 21*j**2 - 4*j - 4. Determine 4*i(w) + 187*v(w).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (0 + 86 + -99)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -33*j + 9. Let a be w(-8). Let d = a - 163. What is d rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**4*x + 2852*u**3*w - 2*u**2*w*x - 2*u*x + 2*w*x + 2*w - 23*x + 15 wrt u.\nAnswer: -24*u**2*x + 17112*u*w - 4*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-616)\/(-385) - (-8 + 1820\/(-50)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*l + 2 + 178*l - 360*l.\nAnswer: 24*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19223 (base 14) to base 8\nAnswer: -174057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 331686.01 to the nearest one hundred.\nAnswer: 331700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -268, -2\/7, -11\/4, -1\/1983, -4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let h be -1 - j - (1 - 0). Suppose 2*a + 1 = -5*l - 0, h = a - 5*l - 22. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -835*z**3 - 207*z**3 - 2 - 13*z + 11*z to b*z + g*z**2 + a*z**3 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9297*g*n*q*x - g*n*q - 1289562*g*q + 2*g*x + 23*n*q - 3*n*x - 3*q*x - x wrt n.\nAnswer: 9297*g*q*x - g*q + 23*q - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 22. Find the second derivative of 10*v**5 + 5*v + 0*v**5 - v - t*v wrt v.\nAnswer: 200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 4*h**4 + 0*h**2 - 35 + h**2 + 4*h**3 as n*h + c*h**3 + i + r*h**4 + d*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-116)\/14 - 4\/(-14). Let w be 4 + 7\/((-14)\/(-18)). Let y = w + b. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and -53216.775158.\nAnswer: -53208.775158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4250, 10514, 20954, 35570?\nAnswer: 54362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9 - 47841\/(-162918)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79 - 5*t**2 + 58*t + 63*t - 124*t wrt t?\nAnswer: -10*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m + 303. What is k(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (315\/135)\/((-154)\/396).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -129 + 2?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.38, 0.3, 0.0106, -5, -4?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 - 3837*d**3 - 7689*d**2 + 3837*d + 7686 = 0. What is d?\nAnswer: -2, -1, 1, 1281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2381 + 920 = -5*h + 4*f, 4*f = 4. Calculate the remainder when h is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*j + 16, 58 = -2*a - 2*a + 5*j. Let v(h) = -1 + 4 + 8 - 4 + h**2 + 2. What is the hundreds digit of v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((3 - 3) + 7)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43996 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*2*3\/30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - y + 5. What is the remainder when a(-6) is divided by (-2 - -3)*3 - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213217.\nAnswer: 59, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 43 = 9. Let h = z + 50. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 9*t**2 - 10*t + 3. Let v be m(10). Let a = v - 1. Sort -4, a, -3.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 + 2.8. Let v = -6 + w. Which is the smallest value? (a) 2\/11 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4192364 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1785, 1918, 2039, 2148, 2245?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (1 - (1 - -2)). Let o = 2 - j. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.2 + 31.7. What is the closest to 1 in 4, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 7 + 16, 2*q - 838 = -2*y. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 33 - 2. Let v(x) = x + 13. Let p be v(-6). What is the highest common divisor of i and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7950 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-729)\/1944)\/(18\/16*-3*(-28)\/(-1449))\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u = -32689 + 35539 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 12:02 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let t(x) = 771*x**2 - 12. Let k(s) = 308*s**2 - 5. Let g(b) = -12*k(b) + 5*t(b). Give a(g(w)).\nAnswer: 159*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5227 - -5254. Let c(o) be the first derivative of -s + 25\/3*o**3 + 0*o + 0*o**2 - 31\/4*o**4. What is the third derivative of c(q) wrt q?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*u + 29 - 634, 2*a - 258 = 2*u. Let g = a + -136. Is -129\/10 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 86 in 0.005, -11, 2, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6) + 0 - (-69)\/230.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 33275104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891575 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7859057 + 3929622 + 3929447 + 3*h.\nAnswer: 3*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 96. Calculate the highest common factor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -6.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110898 is divided by 55419?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2772380419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/56 and -2\/401149.\nAnswer: 3209192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -53327.\nAnswer: 26663.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7109341064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Let i be (-8)\/48 - 2\/(12\/5). Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000100010111000 - -110?\nAnswer: -100000100010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let v = 0.1 + 0.1. Let h = -41\/99 + 10\/33. Which is the nearest to v? (a) h (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 11*u**2 - 14*u - 9. Let l be (-662)\/6 - (-1)\/3*1. Let j be (-2)\/11 - (-1300)\/l. Calculate c(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1086 (c) 24 (d) -3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-one quarters of a millennium?\nAnswer: 1775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((4 + -9 - -7) + 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y**2 + 16*y + 5. Let o(c) = 15*c**2 + 47*c + 15. Let t(f) = -6*o(f) + 17*z(f). Factor t(l).\nAnswer: -5*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/((23 + 13)\/(-12)). What is the nearest to -1\/2 in -3, -0.2, 239, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**4\/2 - 2*g**3 + 2. Find the third derivative of w(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15058*b**3 - 10170*b**3 + 3*b - b + 2015*b**3.\nAnswer: -23213*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = 3*v, -28 = 6*v - v + b. Let y = v + 9. Suppose 3*u - y*r = r - 4, 0 = u + 2*r - 17. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1281\/40 + -132\/5. Calculate the common denominator of -25\/16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/24591 and 15\/462671468.\nAnswer: 1388014404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 27. Let x = 13.0000065 - z. Round x to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Let r(x) = -2*x. Let z(w) = -14*w + 3. Let c(j) = 6*r(j) - z(j). Let h be c(m). Solve -15 + h = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(45\/10788) + 1\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 6*y**2 + 16*y - 9. Let f be x(-8). Let q be -1 + 1 + -12 + -1. Let h = f - q. Solve 3*i - i = h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 108*s**3 + 59504*s**2 - 2204*s = 0. Calculate s.\nAnswer: -551, 0, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.19559491+1.5\nAnswer: 1.69559491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164825 and 6175.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 1 - 14. Suppose 10*y + 77 = 47. What is the tens digit of -3 + a\/y - -5*13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*n = -121*n - 117031 - 513375. Is 17038 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -613 and 157.\nAnswer: -96241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -129485067 divided by -4\nAnswer: 129485067\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*n*t**2*x - 3597*n*t*x**2 + 3*n*x**3 - n - 54*t**2*x**3 - 3*t**2*x - 8*t**2 + 7*t*x**3 + 2*t*x**2 wrt t.\nAnswer: 78*n*x - 108*x**3 - 6*x - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/63788904 and 73\/24806796.\nAnswer: 446522328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 62*y + 876. Give z(-31).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1c408a (base 14) to base 7\nAnswer: 11404233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58283, 121727, 190333, 264101, 343031?\n\"Answer: 2581*t**2 + 55701*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -i + 4*i + 27, 0 = 2*i + 4. Let d = 19 - h. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 397637 and 1111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*f + 332 = 131*f + 1070 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*22\/(836\/(-95))*104\/90.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -911*o + 11*o**3 + 12 + 1829*o - 918*o to i*o**2 + v*o**3 + h + b*o and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2341543652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17825679, 35651361, 53477043, 71302725, 89128407?\nAnswer: 106954089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*i - 5*b + 33, -4*i + 5*b + 7 = 0. Factor n**2 - 1\/8*n**i - 19\/8*n + 3\/2.\nAnswer: -(n - 4)*(n - 3)*(n - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/3 != -4296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/404775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1807, -12 in ascending order.\nAnswer: -12, -1, 1807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/v*v)**(-20\/3))**(-2\/25)*(v*v*v\/v**1*v*v*v**(5\/3)*v)**(-1) assuming v is positive.\nAnswer: v**(-228\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = -s, 4*s + 4 = -12. Let a be 1*5 + ((-6)\/10)\/(1399\/13990). Let x(g) = -g + 2. Let t be x(4). Sort a, -4, c, t in decreasing order.\nAnswer: c, a, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 982*w**2 + 2916*w + 5986. Determine k(488).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 800 - 602)*(-3 + 3 + i)*(7*i**4 - 2*i**4 - 3*i**4).\nAnswer: -2646*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 5*g**3 + g**3 + (-5*g + 5*g - 2*g**2)*(-2*g - 3*g + 4*g) + 4*g**3 - g**3 - g**3 - g**3 - g**3 + g**3 as v*g + h + p*g**2 + j*g**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16278 = 3*t - 0*t - 3*u + 16236, 5*t + 3*u - 78 = 0 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/6572)\/(90\/161820)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283026*j**2 + 283026*j**2 - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 + -137. Let i(b) be the first derivative of -b**3\/3 - 3*b**2\/2 + b - 1. Let l(o) be the first derivative of i(o). Determine l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 38*u = 2*y - 14, -u = -2*y - 6. Let p(f) = -5*f**3 - 9*f**2 + 2*f - 9. Let j(i) = 2*i**3 + 4*i**2 - i + 4. Give u*p(a) + 9*j(a).\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (5 + -11))\/1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -72760.2.\nAnswer: -72760.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6059, 24268, 54631, 97160, 151867?\n\"Answer: 2*s**3 + 6065*s**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -5.327261 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3949423 by 86.\nAnswer: 3949423\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 58, 56, 52, 46, 38, 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2596 - 0.0596. Let f = 4.108 - 0.108. Let k = -136 + 677\/5. Which is the closest to k? (a) q (b) f (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 - 82. Let w = -14 + t. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l - 2*m = -6, 5*m = -10. Let d be (49\/2)\/(l\/20). Suppose 0 = 3*x - d + 10. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49108256 divided by 3069266.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 + 2 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -213*b**5\/20 + 61*b**2\/2 - 44*b - 27. Let o(k) be the first derivative of q(k). Differentiate o(u) wrt u.\nAnswer: -639*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 12*k = 0. Suppose 20*a - 19*a - 27 = k. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2145 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -7 - (0 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7845, -7842, -7839?\n\"Answer: 3*n - 7848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 792\/(-176) + 5 + 1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 76 = 12928. Let f = 4301\/4 - b. What is o in 1\/2 - f*o + 9*o**2 = 0?\nAnswer: 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 3853, -24, -5 in descending order.\nAnswer: 3853, 4, -5, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.4. Let m = y + -2.4. Let g(f) = -f**2 - 5*f - 3. Let r be g(-3). Which is the smallest value? (a) r (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-4))\/(((-36)\/12)\/1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(81)\/sqrt(3))\/sqrt(9) + 4.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 14*i**2 + 18*i. Is u(15) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3 + -7.3. Let s = 1.1 - 1. What is the third biggest value in l, s, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*s = 34, 384*s - 381*s = 18. Is y >= -622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2298740)\/(-136))\/(3\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 106*u - 69. Determine h(-54).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 834.8 and -3.9218?\nAnswer: 838.7218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, r: 1, o: 4, d: 3, b: 2}. What is prob of picking 1 r and 1 g?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2 + 1 - w**2)*(-4*w - 14 + 7 - 10).\nAnswer: 4*w**3 + 17*w**2 + 4*w + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 646442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0.07 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - u)*(12 - 12 + 3*u**2) + u**3 + 3*u**3 - 6*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 244\/5. Suppose 5*q - 15 = 5*b, -3*q - 2*q - 2*b = -15. Suppose -3*r + t = -1, 5*r + q*t = 4*r - 13. Are y and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 5*v - 1. Let a be d(4). Suppose -2*b + 4*p = -1 - 3, -b = -a*p - 1. Solve -2*h - 5*z = -12, -h + b = h + 3*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1238 and 238827532.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 3. Let q be h(0). Which is the closest to -0.1? (a) 1\/3 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -5*w**4\/6 - 7*w**3\/6 - 3*w**2. Is x(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72827111 divided by 1776271?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 4) to base 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*j = -1751, 13*x = 12*x - 3*j - 587. Let k = -370 - x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1846623 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**2 - 8*u**3 + 56*u**2 + 25 + 5*u**3 - 9*u**3.\nAnswer: -12*u**3 - 2*u**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d + 0*d**3 + 0 - 1\/6*d**4 + 1\/60*d**6 + 2*d**2 + 1\/30*d**5. Find b such that g(b) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37.92121mm?\nAnswer: 37921.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/(6\/20). Let i(d) = d. Let p be i(2). Suppose -5*a + a = 3*v - 11, -p*v + 4*a = -14. Solve v*b - 8 = s + 2*b, n*b = -4*s + 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -826, -1228, -1636, -2056, -2494?\nAnswer: -2956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -36, -2\/7, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3)*((2*n - n + 2*n)*(-6 + 5 - 1) + (0 + n + 0)*(-3 - 2 + 3)) in the form u + c*n and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5790660823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 20 = 3*v - 4*w, 2*v - 25 = 5*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 - 3*y - 2. Let v be l(-1). Solve -2*x - 4 = v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 + (-35)\/3. Let m = p - -21. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 68999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u. Suppose -y - 12 = -3*y. Let o = -8 + y. Let t(i) = -4*i. Let b(m) = 3*m. Let l(r) = o*t(r) - 3*b(r). Determine k(l(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r + 5*q + 9, 4*q = 5*r - 22. Suppose 6*c - r*c - 3640000 = 0. What is c rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14233 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/t**(-7))**8)**29 assuming t is positive.\nAnswer: t**3016","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-26)\/2 - 0. Let l be (h\/10)\/((-21)\/70). Let n be (1 + 2)*l\/30. Put n, 3, -0.1 in ascending order.\nAnswer: -0.1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 2, c: 5}. What is prob of sequence xcx?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 455 (b) -27\/2 (c) 2 (d) -0.1 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -25\/2, 0 in increasing order.\nAnswer: -39, -25\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21672 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:56 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 3*b**5\/20 - 15*b**4\/2 + b**3 + 62*b**2 - 1. Let s be k(20). What is the second smallest value in s, -3, 0.4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 2*r - 7. Let h be w(5). Let p = h + -8. Suppose -2*x + 440002 = -d - p*d, 4*x - 2200004 = 5*d. Round d to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 330304252 + -330304269.9999919. Let h = 18 + n. Round h to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:58 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - -6 - (-55)\/(-5). Calculate the smallest common multiple of 6 and (29 - 10) + w*1.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/459?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {h: 2, o: 3, m: 1, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 72. Let s be (-3)\/4*26\/x. Which is the second smallest value? (a) 0.3 (b) s (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54696)\/(-204) - 4\/34. Find the common denominator of (-2)\/(-4) - v\/(-32) - 1 and -79\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 1245. Calculate i(179).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10281837793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -5*m + 0*m**3 + 0 + 1\/2*m**4 + 5\/2*m**2. What is the derivative of f(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + h + 275 = 0, 0*b + 3*b = 4*h + 415. List the prime factors of b.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 30*u + 10. Suppose -3*v = -4*y + 22, 4*y + 4*v = v + u. Suppose 4*o = -4*z + 8, 3*z + y = 5*z. Solve -d + 5*d + 8 = o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -34 = -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c + 536 + 1141 = 0. Let l = 82 - c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 607, 606, 611, 628, 663?\n\"Answer: v**3 - 3*v**2 + v + 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100220 - -220200?\nAnswer: 112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 12.7. Suppose -w - 5*x + 3*x = 124, -4*x + 216 = -2*w. Let i = -582\/5 - w. Which is bigger: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/3 + 407056*x\/3 - 5698000\/3.\nAnswer: -4*(x - 101750)*(x - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -113*d - 4. Let l be n(-4). Let f = l - 285. Suppose -4*k + f = 35. Calculate the highest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/60 - h**4\/24 + 2*h**3 - h**2. Let p be 1\/((-9)\/(-180)*4). List the prime factors of z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/18 - (-4448)\/288. Solve w = -4*n + s, 4*n + 9 = -5*s - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 4*f - 32. Let m(a) = -a**2 + 2*a - 27. Give 3*b(t) - 4*m(t).\nAnswer: t**2 + 4*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2. Let y(h) = 19*h + 11*h - 10*h + 5*h. Determine y(k(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169362?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 12*b - 20 = 0. Let a be b*-1*(-2 - (-300)\/(-5)). Let z = a - 113. What are the prime factors of z?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 544, 560, 570, 574, 572?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7. Let i(u) = -u**2 + 6. Let f(a) = a**2 + 4*a - 2. Let s be f(-2). What is s*i(x) - 5*n(x)?\nAnswer: 6*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43245 divided by 5.\nAnswer: 8649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - j**3 - 19*j**3)*(3*j - j - 6*j)*(26*j + 11*j - 8*j).\nAnswer: 1856*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1009235329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w + 35*w - 41*w + 401*w**2 to the form c*w + p*w**2 + b and give p.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * 4402\nAnswer: 6603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 0*r**4 + r**4)*(0 - 1 - 1)*(-4 + 4 + 2) + (4*r - 2*r + 0*r)*(3*r**3 - 3*r**3 - r**3).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2202 and 0.09.\nAnswer: -198.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217 and 223789?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1289*q**2 - 6*q. Let w(y) = y - 4. What is i(w(t))?\nAnswer: 1289*t**2 - 10318*t + 20648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -346405\/69516 - -21\/1931. Let t = -19\/4 - n. Let x = -0.1 + 0.3. What is the closest to x in -1, 1\/5, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(2 - (1 + -1)). Let f be (-3 + o)*1 - -13. Let k = 7 + f. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*t**2 - 3\/2*t**4 + 0 + 1\/2*t + 7\/2*t**3.\nAnswer: -t*(t - 1)**2*(3*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23)**23 assuming y is positive.\nAnswer: y**529","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) -0.09 (b) 0 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.88102 millennia in centuries?\nAnswer: 8.8102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -452 + 444. Let o(z) = 5*z + 43. Let q be o(k). Which is smaller: q or 43\/10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2)*(q - 6*q + 3*q) - 5*q + 24*q - 9*q)*(-2*q**2 + 2*q**2 + q**3) to j*q + f*q**4 + g*q**2 + v + p*q**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 1. Let l be m(5). Suppose -4*y = -8*y - l. What is y rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3782*z - 1891*z - 1891*z - 11*z**2 - 2*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -93.6*-12181\nAnswer: 1140141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 6*c = 160. Suppose -10*a = -c*a + 1370. What is the remainder when a is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 13 + 17 = 0. Let l be 86\/6 - g\/(-6). Solve 5*w = l + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 18639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72393169?\nAnswer: 251, 379, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3422*(-5)\/20 + (-30)\/(-12). What is the greatest common factor of d and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**5\/5 - 3*m**4 - 45*m - 12. Differentiate k(j) wrt j.\nAnswer: 12*j**3 - 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/8 and (-511)\/4508 - 3\/12.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*k**2 - 7*f*k + 151704025*f - 229*k**2 + 137*k with respect to k.\nAnswer: 6*f*k - 7*f - 458*k + 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from httmmtmmm. What is prob of picking 4 m?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 + 1011001101010?\nAnswer: 1011000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (1647\/(-186))\/(-9). Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.139 less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*u + 19*u + 37*u + 38*u.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -27. Which is the nearest to o? (a) -0.3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 346059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 81, -3 in increasing order.\nAnswer: -3, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -17*v + 4*v + 116 + 37 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m - m)*(10*m - 10*m - 6*m**2 + 2).\nAnswer: 18*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:16 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2467.\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/6)\/((-1)\/4). Suppose -5*o = 4*w - 25, -n*w + 0*w + 8 = 2*o. What is the remainder when o is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -6. Let d = v + -27. Let n(z) = -3*z - 3. Determine n(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096069789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c = 30*c + 12. Solve c*k + 3*p = 4*p + 14, 3*p = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 9, -33\/4?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1914537589090996184.99999929 + -1914537581148041791. Let w = 7942954519 - l. Let i = 125 - w. What is i rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 15 + 39 = 0. Which is the closest to v? (a) 5 (b) -1\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20348, -20350, -20352, -20354, -20356, -20358?\n\"Answer: -2*j - 20346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102001001002 (base 3) to base 2\nAnswer: 110101000010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.35. Put f, -2, -4 in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 27 - 60)*(3 - 3 - t)*(1 - 4*t + 3*t + 5*t)*(0*t - 2*t + t)*(0*t + 2*t - 4*t) to i*t**4 + l*t**2 + y*t + x*t**3 + a and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**3 - 20*r**2 - 9*r + 12. Let d(n) = -n**3 + 2*n**2 - 2. Suppose -4*a = -a + h - 4, -1 = -2*a + h. Let t(f) = a*k(f) + 6*d(f). Solve t(z) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -98. Let j(y) = -y**3 - 24*y**2 - 136*y - 106. Calculate the remainder when l is divided by j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-2 - sqrt(704))*5 - 6*(sqrt(704) + 0 + sqrt(704) - sqrt(704) - sqrt(704)))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2. Let k(y) be the second derivative of 37*y**4\/6 - y - 121. Calculate w(k(b)).\nAnswer: 10952*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2688 (base 9) to base 13.\nAnswer: bc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.7162234 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 11:20 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 71, 159, 281, 437, 627?\n\"Answer: 17*h**2 + 3*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 39*b + 269. Suppose 0 = t + 71 - 104. What is the tens digit of f(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.65*-0.094.\nAnswer: -1.4711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g - 43*g - 100 - 660 = -100*g for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -7045?\nAnswer: 53\/7045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000765361?\nAnswer: 1000765361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20, 18 in decreasing order.\nAnswer: 20, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.324 + 0.224. What is the third smallest value in 0, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000070083 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 1. Let u(n) = -16*n + 6. Suppose -3 = -2*y - 2*x - 1, -2*y + 11 = -x. Give y*u(t) - 22*d(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2147678 divided by -24973.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0*m + 5*d = 8680, 0 = d - 3. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1260 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 4*s - 23. Suppose 5*v - 63 = 4*p + 92, -v + 17 = 2*p. What is the hundreds digit of g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k**3 - 10*k**3 - 6*k**3.\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(21*m - 439 + 439) + 3*m + m - 2*m - m - m + 3*m + (-m + 4*m - 2*m)*(1 + 0 + 1) + 3*m - 4*m + 3*m.\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1189.22 and -17074.9?\nAnswer: 15885.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4095 is divided by 372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) - (9 + -8 + -2). Let k(h) = -h - 1. Let n be k(-4). Suppose 4*u - 9 = -n*v + 9, -4*v - 7 = -5*u. Solve 5*o + 15 = 0, z = x - v*o + 3*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -30*o**3 - 4*o**2 + 5*o - 17. Let j be a(5). Let z = 3875 - j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.92127 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n. Let g(z) = -68*z**2. Give g(v(m)).\nAnswer: -612*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -57569.3 * -215\nAnswer: 12377399.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvvvwvvvfzvzvhvwv. What is prob of picking 1 z, 1 x, and 1 v?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3164)\/(-98) + (-4)\/14. Let u = -38 + z. Let q be u\/27*-6*18\/12. Solve -d - 7 = -q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let j(s) = -372*s**2 - 2. What is i(j(p))?\nAnswer: -138384*p**4 - 1488*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -7*i**6\/60 - i**4\/24 - i**3\/6 - 2*i**2. Let d be r(-1). Solve z = 3*v - 0*v - 4, 4*z = -3*v + d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - (-7 + 13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11710 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1077064307*a**3 + 214881389*a - 3 wrt a.\nAnswer: 6462385842*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(-79 + 90 - 199)*(-2*k + 4*k - k).\nAnswer: 188*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1914985014 and 22?\nAnswer: 21064835154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 815, 6, 0 in increasing order.\nAnswer: 0, 6, 815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1\/7, -2, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 16446164 = -77*g + 14207996. What is g rounded to the nearest one thousand?\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(190)\/(sqrt(10)*-3 + sqrt(10) - sqrt(10)) - (sqrt(19)*4*-4)**2).\nAnswer: -24320 - 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28447393, 28447398, 28447407, 28447420, 28447437, 28447458, 28447483?\n\"Answer: 2*o**2 - o + 28447392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 564.1128 weeks?\nAnswer: 341175421440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 154*f + 3. Determine c(-1).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 4*m**2 + 2. Let j be q(4). Suppose j*z = 0, 0*o - 4*z - 52 = -2*o. Let k = -13 + o. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(931) - (0 + 2*sqrt(931))) + -5 + (1 + 2 + sqrt(931) + 3)*-4 + -5.\nAnswer: -70*sqrt(19) - 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + -8) - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(4 + -6*(sqrt(539) + sqrt(539) + sqrt(539)*-2))*4)**2.\nAnswer: 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -123*d**2 - 4*d + 3. Let l be b(11). What is l rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65228, -260856, -586904, -1043372?\n\"Answer: -65210*t**2 + 2*t - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51250 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*3\/5)\/(-1 - -2). What is the closest to 1\/8 in 3, h, -4\/3, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**2 + 35*o**2 + 122*o**2.\nAnswer: 136*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - -150 - (17 - -27 - 19)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u + 0*u - 4*u)*(21*u - 16*u + 20*u)*(-3*u**2 + u**2 + 4*u**2) - 3*u**4 + 4*u**4 + 0*u**4 as q*u**4 + p*u**3 + m + t*u**2 + c*u and give q.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-15)*4\/6. What is the biggest value in -4\/7, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let s(z) = 2032*z - 36. Let n(t) = 2035*t - 42. Let b(l) = 6*n(l) - 7*s(l). Calculate h(b(k)).\nAnswer: 4056196*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrbgggrvggge. Give prob of sequence erb.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7*1)\/((-11)\/33). Let c = b + -16. Solve -c*k = 2*s - 6, 0*k - 12 = -4*s + k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, 0 = 3*c - x + 5 - 17. Suppose -6478 = -4*p - 2*w, 3*p - c*w = -p + 6472. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0 (b) 3 (c) 986\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65840181*g**2*l - 74*g*l - 29607*l wrt g?\nAnswer: -131680362*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/11 - 3990*t**3\/11 + 63410*t**2\/11 - 162330*t\/11 + 102908\/11 = 0 for t.\nAnswer: 1, 2, 13, 1979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + -11. Let s = z - 4. What are the prime factors of 7\/(-3)*s - 4?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(10\/15)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -141, -184, -243, -318, -409?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 1. Let f be 1\/3 - 8\/24. Suppose f = 2*o - 7 + 1. Calculate z(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {a: 2, i: 3, g: 3, c: 9}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, m: 2, f: 1, r: 4, k: 2, h: 6}. What is prob of sequence kkhr?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q + 8 = 0, g - 292 = 2*q. Is 36 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17233 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 22 + 2 - 4 + 3 + 0 + (-1 - 2 + 1)*(3 - 4 + 3) - 5 + 3 + 4)*(-819 + 4*j - 5*j + 820) to the form w + z*j and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 97.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzrkckkqcccrcjccq. Give prob of picking 1 j and 1 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**2 - 42*h - 494. Give s(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -192157, -380332, -568507, -756682, -944857?\n\"Answer: -188175*s - 3982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85454241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -1. Suppose -2*b - 2*s - s + x = 0, b = s + 2. Factor 12 + 3*v**4 - v**b - 9*v**2 - 2*v**3 - 6 + 3*v.\nAnswer: 3*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -530?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 5*b - 22*b + 14*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 8*l + 42. What is the closest to -1\/5 in -0.5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 2*k + k)*(-5*k**4 + 3*k**4 + k**4).\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1689\/2365 + 12\/11. Let j = h - -1\/43. Let t = 64.4 - 64.9. What is the second smallest value in 1, -4, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9554, -9553, -9560, -9581, -9622, -9689, -9788, -9925?\nAnswer: -10106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnllov. What is prob of sequence lvo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 81*f**2 + 21*f + 155. Is j(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a**4 + 0 - 16\/7*a**3 + 2\/7*a**5 + 0*a**2 + 32\/7*a = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 28. Which is the nearest to 2\/5? (a) n (b) -5\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1 = -3*y + 51 - 10, 0 = 7*h + 2*y + 123301 - 123356 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/21 (b) 25 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10520717027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 0*v**2 + 0 + v + 10\/3*v**3. Let l be h(11). Round l to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) + -1*sqrt(5))**2 + -4)*-4.\nAnswer: -4*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o + 56. Let w be r(-7). Let s = w + 90. What is the remainder when 102 is divided by s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -117. Let q = b + 47. Solve -w + 6 = -3*w + j, -q = 3*w - 3*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 6*p + 2*p = -207, -2*y - 2*p + 426 = 0. Is 56 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by -76856?\nAnswer: -163\/76856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (19964\/248)\/161*-222?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436 - 172 = 152*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**3\/6 + n**2\/4 + 7. Factor i(k).\nAnswer: k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -428.92 + 429. Which is the second biggest value? (a) d (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 4*p**2 + 77 + 5*p**2 - 75. Let q be b(-4). Solve x - q + 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by 61347.\nAnswer: -43\/20449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1004*x + 2150*x + 1115*x.\nAnswer: 2261*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-22) - ((-8358533)\/22 + (-567)\/162) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*x + 80724, 0 = 8*p - 6*p - 4*x - 32274. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 55*i - 374*i - 2*i**3 - i**3.\nAnswer: -2*i**3 - 429*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -21*n**2 + n + 1. Let k be l(-1). Let p = k - -43. Differentiate 11*c**4 - 11*c**4 + p*c**4 + 30 wrt c.\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00508464 rounded to four decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 14. Suppose -75*x = -98 + 23. Which is the closest to -0.1? (a) s (b) x (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -505 (base 6) to base 5.\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.101 in 7, 124, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r + 7. What is q(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3 - 9. Let h be (-5 + -13)*4\/p. Suppose 67 - h = l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1*3\/(-3). Let k = d + 7. Suppose 3*t - 8*s + 9*s = -11, -2*s + 23 = -3*t. What is the biggest value in t, k, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/87 in -1\/9, 3\/5, -2\/9, 39, 1\/7, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/6 + 8\/(-12). Let n be -3 + (11 - 3 - q). Suppose v = 2 + 3, n*s = 5*v - 13. Solve 0 = -b + d, s*b + 6*d - d - 45 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5211)\/(-386))\/((-41)\/164)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 6*l - 4*l + (-1 + 3 - 3)*(-l + 4*l - l) as y*l + z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24017528*x**2 - 24109103*x wrt x.\nAnswer: -48035056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Suppose -f*z = 2*j + 6, -4*j - 19 = -0*j - 3*z. Is 105\/j*12\/(-3) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 4*r**2 - 1. Let v be b(-4). Let p(s) = -s**3 - s**2 - s. Let d(t) = 3*t**3 + 4*t**2 + 5*t - 1. Determine v*d(z) - 4*p(z).\nAnswer: z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-9)\/4) + 51 + -50\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10be + 3?\nAnswer: 10c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 19*p**3\/6 - 2*p**2 + 2*p. Is c(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1056648 != -1056648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - 9.18. Let m = 1 - -0.3. Let t = m + 3.7. Which is the nearest to -1? (a) t (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 90*x + 5400. Let f be n(-60). Let p = -123\/602 + 18\/43. Which is greater: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 62. Let d = 24 - z. Calculate the greatest common factor of 30 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 5*c**2 + 21*c - 20. Let f be p(-8). Let z(h) be the second derivative of 0 + 1\/5*h**3 + f*h + 3\/10*h**2 + 1\/20*h**4. Factor z(l).\nAnswer: 3*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = -3*s + 276, 0 = 5*s + 2*a - 475. What are the prime factors of s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -31. Suppose -t = h - 3, 5*h - 6 = m*t + 2. Suppose -12999985 = h*d - 0*d - 3*r, 2*r + 10 = 0. What is d rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -635554 (base 8) in base 16?\nAnswer: -33b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 12. Let l = p + -6. Let y be -3*((-10)\/(-3))\/5. Put l, y, 4 in increasing order.\nAnswer: y, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1874233 - 1874257. Let d = -3 + 2. What is the nearest to d in m, 3\/8, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3628344*x**6 + 311*x**2 - x - 18874.\nAnswer: 435401280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1089.5 and 18.\nAnswer: -1071.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 85583 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2854 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/420 - 5*o**4\/168 + 2*o**3\/21 + 74*o**2. Factor n(l).\nAnswer: (l - 4)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/42 + (-1265)\/(-77). Solve -b - 5 = -4*y - v, 2*b = -5*y - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124439715.73 plus 3095?\nAnswer: 124442810.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4665 times 0.1?\nAnswer: -466.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633 by -92030.\nAnswer: -633\/92030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*((x*x**(-1\/2))\/x*x)\/x*x**(2\/7) assuming x is positive.\nAnswer: x**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/25 + -6 + 9)\/(2114\/21140)\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c. Let u(k) be the first derivative of k**3 - 29*k + 2286. Give s(u(r)).\nAnswer: -30*r**2 + 290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -3. Let h = l + -5.8. Which is the second smallest value? (a) h (b) -0.2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193 divided by 4.\nAnswer: 193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 9*n + 8. Let u be l(-7). Let o(b) = b**2 - 4*b - 9. Let r be o(u). Let j = -8 + 42. What is the greatest common divisor of j and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 + 13*y + 4. Determine g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -121*h**2 - 11*h - 96. Let l(r) = -24*r**2 - 2*r - 19. Determine -11*l(y) + 2*v(y).\nAnswer: 22*y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 9. Let x(v) = -v - 5. Let d(s) = 9*s - 7. Let z be d(2). Suppose z + 7 = -3*m. Determine m*o(k) + 10*x(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 378820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*k = 3993, -c - 5*k - 6605 = 4*c. Let y = c + 5355\/4. Find the common denominator of y and -131\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 72606\/5 in increasing order.\nAnswer: 0.3, 2, 72606\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*p = 121 + 5, 2*b = p - 61. Let v = 34 + b. Find the first derivative of -2 - 2*u**v + 1 - 7*u**3 wrt u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213818 is divided by 85?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21096, -3, -2 in descending order.\nAnswer: 21096, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/10 of a hour?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*k + 4*t + 8, 3*k = t + 7. Find the second derivative of 2*y - 199*y**2 - 5 + 76*y**2 - k + 29*y**2 wrt y.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*c**4*g - 1143*c**4 + 3*c**3*g + 2*c**3 - 173*c**2*g + 3*c**2 - 341*g wrt c?\nAnswer: -576*c*g - 27432*c + 18*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31176.069 - 31088. Let m = -88 + n. Round m to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*u - 4*b, 8*b - 4*b = 4*u - 136. Calculate the remainder when 186 is divided by u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**5\/60 - 7*p**4\/24 - 3*p**3\/2 - 66*p**2 + 197. Let z(s) be the second derivative of d(s). What is z(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1879*a**2*d**2 - 6*a**2*d + 2*a**2 - 2*a*d**2 + 20*a*d - a - 79*d wrt a.\nAnswer: -3758*d**2 - 12*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 308*n**2 - 9*n + 9. Calculate the remainder when y(1) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3485*n. Let c(q) = -5*q**2. Calculate c(r(l)).\nAnswer: -60726125*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7 + 477?\nAnswer: 467.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -29*d - 49. Let j be u(-7). Calculate the greatest common divisor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -107*c**7\/210 - c**5\/15 + c**4\/8 - 120*c**2. Find the third derivative of j(d) wrt d.\nAnswer: -2568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 - 6*f**3 + 7*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 2, l: 1, v: 6, s: 7}. What is prob of picking 1 v and 1 n?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 5*j**2 + 4*j. Let r be m(-3). Suppose o - r = -2. Suppose 0 = 7*g - 55 + 41. Calculate the remainder when o is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9671*n**3 + 3*n**2 + 2*n + 1. Is w(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 11)*(2 + 3 - 2)*(0 + 2*w**3 + 0).\nAnswer: -72*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/3 - 395*y**3\/6 + 30343*y**2\/6 - 31358*y\/3 - 41650 = 0.\nAnswer: -150, -2, 17\/4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892267679?\nAnswer: 7, 59025871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 242*i + 11506. Give q(65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7246, -1, 2\/17, 6.35.\nAnswer: -1, 2\/17, 6.35, 7246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 254655.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 25*p + 8. Let x be i(3). Suppose 2*d - x = 3*d. Let a = d + 119. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -436293118?\nAnswer: 436293113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2107 + -2129 + 10 + 1 + -1 - -4 - 21\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 6235*h**3 - 6250*h**2 - 12480*h.\nAnswer: 5*h*(h - 2)*(h + 1)*(h + 1248)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -166447000 to the nearest one hundred thousand.\nAnswer: -166400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 4. Suppose -2*o - g + 0*g = -28, 4*g - y = o. Which is smaller: 13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*j = 5, 0*n = -5*n + 3*j + 3. Let m = 15 + n. What is the remainder when ((-42)\/4)\/((-3)\/8) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = 10*t - 4346. Calculate the remainder when t is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = k + 2, -y - 14 = -3*k. Let m(l) = -9*l**2 - 4*l + 20. Let a be m(6). Let q = -308 - a. Calculate the smallest common multiple of q and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862, 1671, 2478, 3283?\nAnswer: 4086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - c**2 - c - 1. Let q be i(-3). Let z = -12 + 20. List the prime factors of z\/(-20) + 808\/q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -152, -260, -368, -476, -584?\n\"Answer: -108*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 0 + 15 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -178, -332, -530, -772, -1058, -1388?\nAnswer: -1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1559804.1816 and -0.0214.\nAnswer: -1559804.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6538769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.01057 and -232.\nAnswer: 234.45224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/11 and (30\/100)\/(6\/890).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:52 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 3*k)*(3*k**4 + k**4 - 5*k**4).\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -105*d - 2. Let y be (-558)\/30 - (-3)\/5. Let h be (-6)\/y + 8\/(-6). Does 13 divide a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 3 - (2 + -1). Suppose f = 3*n - n - 2. What is the units digit of 3*(-3)\/((-9)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166674 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324401 is divided by 81067?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:01 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.48 times -311351\nAnswer: -460799.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 14 + 2*b - 3*b - 13 - 9*b in the form j*b + x and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9536.786 years to months.\nAnswer: 114441.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 1.62\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 75*y**4 + 2*y**3 + 6 - 38*y**4 - 15*y**4 - 20*y**4 - 14*y**4 + 2*y**2 to the form p*y**2 + r*y + m + l*y**4 + n*y**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 2261 = 15*b. Let a = b + 478. What are the prime factors of a?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/66)\/(34\/(-187)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47273 by 5.\nAnswer: 47273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -19 - 5. Let r be -4 + p + 1*-2. Suppose -2*z + 4*q - r = 0, 6*q - 3 = 2*z + 3*q. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -653*l + 330405 = 303632 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2. Let f(b) = -b - 8. Let x be f(-6). Let z be (2 + x)\/(6\/3). Let j be l(z). Solve -j*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1688 - 8437\/5. Which is the closest to 241? (a) x (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1736, 4605, 15168, 29953, 48960, 72189?\n\"Answer: 2111*w**2 + 8*w - 3855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -358d + -c?\nAnswer: -359b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1187*z**3 + 2*z**2 + 3*z + 1. Is v(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/l**6)\/(l**(4\/5)\/(((l**(-3)\/l)\/l)\/l))*(l\/((l*l**(-1)\/l)\/l))**(-31\/4)\/(l**(-1\/2)\/(l**(3\/2)*l)) assuming l is positive.\nAnswer: l**(-673\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:24 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Let q(o) be the third derivative of -o**4\/12 - o**3\/6 + 12*o**2. Calculate q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 2*m**2 - 3*m - 3. Suppose 3*s + 0*c = -c - 4, 5*c - 19 = -2*s. Let t be h(s). Is 33 a factor of (-2)\/(-7) - (-4146)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 2 - 5 - 3. List the prime factors of g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1259.89 + -1260. Let f = 3.4 + -4. Let j = f + 0.3. What is the second biggest value in j, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -1 - (-2233 + 4 + -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s. Let x(d) = 4*d. Let w(o) = i(o) - x(o). Let h(l) be the second derivative of 83*l**3\/6 - 58*l. Determine w(h(r)).\nAnswer: -83*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q - 5. What is c(-9)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*y**2 - 402*y**2 + 1373*y**2.\nAnswer: 1270*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.95 + 18.95. Is s less than or equal to -13\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 30*l**2 - l**4 + l**3 - 16 + 51*l**2 - 20 + 3*l in the form t*l**4 + h*l**2 + p*l + x + y*l**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129356 is divided by 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0 - 6. Sort h, 2, -2 in increasing order.\nAnswer: -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -379160.\nAnswer: 3\/75832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12 - 13\/(-6) - -49. Calculate the greatest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9601951052 + 324\nAnswer: 9601951376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 110*s**2 + 506*s + 25. Let j(b) = -37*b**2 - 160*b - 8. What is -6*i(n) - 19*j(n)?\nAnswer: 43*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -359 - -382. Solve 0 = -4*c - 5*l + m, 0*l = -2*l + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z + 2. Suppose 19*h + 36 = 10*h. Calculate j(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 1 + 1 + w - w + w - 2*w + w + 2*w + (-2*w + w - w)*(3 + 0 - 4) + 2*w + 5 - 5)*(10 + 8 - 7).\nAnswer: 77*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2 + 2*i**2 + (-i + i + 2*i)*(-2*i + 0*i + 4*i) as s + f*i + h*i**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**3 - 3*h**3 - 11*h + 10*h + 4 - h**2. Let z be d(0). Suppose 5*x - 3*x + z*c - 42 = 0, c = -2*x + 54. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-517 + 0)*-1*49. Suppose 5*g + 741500 = -5*t, 5*t + 173653 = -g + l. Let z = 41705 - g. What is z rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.104 - -0.504. Let s = 2 - 2.4. Suppose -3*i + 0*i = -15. Which is the closest to 0.1? (a) s (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22824380 greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244158410.\nAnswer: 2, 5, 101, 103, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 375 - 257. What is the closest to t in -2\/7, -2, -5, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2050 + -1222. Let v = d + 1327. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 20 - 4)*((-2*z + 3 - 3)*(-1 - 3 + 2) - z + 4*z - 8*z - 2*z + 2*z + 2*z) in the form g*z + b and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 8*x = 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 3)*(1 - 3 + 4)*(-4*z - z + 3*z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.038 - -0.038. Which is the biggest value? (a) 3\/71 (b) 0.25 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 477069*k**2 - 4*k - 477075*k**2 - 8 - 4*k to w*k + l*k**2 + y and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 22 = r. Let j = r + 10. Let q = j + 29. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*v**4 - 2*v**3 - 9406*v + 1297245.\nAnswer: -40*v**3 - 6*v**2 - 9406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 27818917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkkzzzzkk. What is prob of picking 3 k and 1 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940843.\nAnswer: 709, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001100010011 (base 2) in base 4?\nAnswer: 20030103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 399?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 2*f**2. Let y be u(2). Suppose -y = 3*z - 105. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -172, -275, -398, -547, -728, -947?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a hour in seconds?\nAnswer: 33120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.38 and -12803.\nAnswer: -12795.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) -2\/5 (c) -1\/228\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a - j = 45, 4*a - j = 37. Let h(v) = -5*v + 2. Let d be h(-2). Calculate the greatest common factor of d and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t)**(3\/20)\/(t**0)**(1\/15)*(t*t\/(t\/(t\/(t*t*(t\/(t*t\/(t**(-3\/2)\/t)*t*t))\/t*t)))*t*t\/t**(1\/7))**(-4\/3) assuming t is positive.\nAnswer: t**(-1997\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 1. Let s(l) = 4*l**2 + 4*l - 7. What is -s(m) + 6*v(m)?\nAnswer: -4*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35092453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*f + 2*f. Let g be 8 - (0 - (-4)\/2). Suppose 4*r = 5*u - f*r - 24, -u + g = -2*r. Solve 6*x - u*x - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 + 0 = 5*i, 8 = 4*i - k. Suppose i*n = 5*n - 10. Calculate the remainder when 7 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200 - 1122222100102?\nAnswer: -1122222011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611236 is divided by 2073?\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:00 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 25)\/(2\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = -38*g + 36*g, -3*u = -5*g + 26. Solve 5*v - 2*c = 19, c - g = -v + 3*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k + 2 = x, -k = -3*x + 12. Suppose 4*p = 3*p - 2, -k*p = 4*w - 146. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*3 - (-4 - -11). Suppose 5*o - 33 = -3*t, -3*t = -h*t - 4*o + 6. Solve 3*v = t*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 24*u**2 + 7*u + 1. Let b(o) = -o**2 + 60*o + 6. Let s(z) = -2*z**2 + 110*z + 11. Let c(h) = 11*b(h) - 6*s(h). Give r(c(m)).\nAnswer: 24*m**4 + 7*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + l - 88, 2*l + 3633 = 7*n + 3494 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5)*(-4*t**2 + 5*t**2 + 8*t**2)*(-t + 1 - 3 + 1) + 2420*t**2 - 2420*t**2 + 252*t**3.\nAnswer: 261*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -55*s + 110*s - 53*s. Let m(n) = -n**2. Calculate r(m(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(1 + sqrt(1700) + -4 + 3))**2.\nAnswer: 15302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84700553*p - 84700553*p - 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 - -123. Let b(n) = n**2 + 9*n + 7. Let p be b(7). Suppose 4*m + v = p. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 48 - 4*d**2 - 70 + 155.\nAnswer: -5*d**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = -5*y, 42 = -5*v + 3*y + 10. Let j(g) = 2*g**2 + 1 + 0 + 1 + 5*g + 0*g. Is j(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70325\/16 + -4391. Calculate the common denominator of (-1)\/(-57)*(-13)\/(-52)*-534 and r.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/7 + 7*v**3 + 156*v**2\/7 + 36*v\/7.\nAnswer: v*(v + 6)**2*(4*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5\/6, -4, 4, 0.27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 10, 2\/73, -0.2, 6\/11 in ascending order.\nAnswer: -0.2, 2\/73, 0.18, 6\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-400)\/24 + (0 - -4) and -31\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.131 times -118.5\nAnswer: 15.5235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-56))\/((-4)\/94) and 37\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.7 + 7.9. Let y = -0.1 - p. Let w = -11.5 + y. What is w rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1835?\nAnswer: -1\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - -13. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.338*-0.1\nAnswer: -0.1338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 144 = -4*m. Suppose s - 82 = 4*r, 4*s - r + 4*r - 252 = 0. Suppose -4*b - 30 + s = 0. Calculate the highest common divisor of b and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 92 = 28*s - 24*s, 0 = -2*x - 3*s - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082 = -r - 2*x + 635, 3378 = 2*r - 3*x. Calculate the highest common factor of 315 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = j - 761, -4*i + 4*j + 1247 + 257 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7021)\/(-784) + -9)\/(1\/604). Let i = 111\/4 + u. Are 0 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-29)*((-1146)\/764)\/((-18)\/(-4))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13059.251 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 - h**2. Let s be k(-2). Let w = s - 16. Let b be 2\/(-5) + 1448\/20. What is the highest common factor of b and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*t - 5*t + t)*(-84 + 84 + 31*t**3) - t**4 - 4*t**3 + 4*t**3 + 0*t**4 - t**4 + 0*t**4)*(2 + 2 - 2) to c*t + j*t**3 + o*t**4 + s*t**2 + a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/633369 and -71\/7830744?\nAnswer: 86138184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/106457 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 5 + sqrt(44) + 5)*-2)**2 - (-4*(sqrt(3564) + 1 + sqrt(3564) + sqrt(3564)) + 1).\nAnswer: 1987 + 696*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*i**4 - 149*i**3 - 148*i**3 + 584*i**3 + 3 - 140*i**3 - 146*i**3 to u*i**2 + b*i**3 + m + z*i + x*i**4 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*z + 2625 = -60*z + 15*z. Calculate the least common multiple of (0 + -1)*(0 - 1) and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-42 + 1) - (-440 + 452).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.166113 + -0.1661304121. What is n rounded to 6 dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 less than 112.41?\nAnswer: 112.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432)*2 + 1)**2 + sqrt(432) - (sqrt(432) + sqrt(432)*-1 + 2)**2) + -2)*-2.\nAnswer: -3446 - 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 27292188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 0.627?\nAnswer: 0.627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -10*g**2 + 4*g - 2. Let w(j) = -9*j**2 + 3*j - 2. Give 3*b(p) - 4*w(p).\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 55724272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -584*m**2 + 138406*m + 659. Calculate q(237).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271982.12 rounded to the nearest 10000?\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2311\/10278 + 3\/1142. Put o, 2\/11, 3\/7, -81\/2 in decreasing order.\nAnswer: 3\/7, 2\/11, o, -81\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-8)\/6 + 17217\/(-27). Let f be (-4)\/32 + (5 - u\/(-16)). Which is smaller: f or -34?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5144*l - 1397. Let t be q(2). What is the greatest common factor of 51 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 2*d**2 - 5*d - 5. Let a be j(-1). Solve 5 = -z + a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {g: 3, e: 4, y: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -63*c + 505. Let m(g) = -75*g + 505. Calculate 6*i(p) - 5*m(p).\nAnswer: -3*p + 505","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1300) - (sqrt(1300) + sqrt(1300) + sqrt(1300)*3 + -4))**2 + sqrt(1300) + sqrt(1300) + -1 + 1.\nAnswer: -300*sqrt(13) + 20812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -4 + 56 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*p. Solve 5*v - 4*h - 11 + 46 = p, -5*v = -h + 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7545 (base 8) to base 2.\nAnswer: 111101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 1\/540*n**6 + 0 + 4\/27*n**3 + 2*n**2 + 0*n + 1\/135*n**5 - 7\/108*n**4. Factor q(j).\nAnswer: 2*(j - 1)**2*(j + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13180\/13 + 1014. Put -2589, -0.4, i, -3 in decreasing order.\nAnswer: i, -0.4, -3, -2589","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*2*(-3)\/30*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 11bb46?\nAnswer: 11bb43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*n**2*o**3 - 5*n**2*o**2*s**2 + 24*n**2*o**2 + n**2*s**2 + 9*n*o**3*s**2 + o**3 - 3*o**2*s wrt o?\nAnswer: -96*n**2 + 54*n*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1248483 (base 10) to base 4.\nAnswer: -10300303203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = 5*t, -4*v = -t - 5*v - 5. What is the units digit of (17 - t\/(-2))\/(12\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 - 28*s**3 + 40*s**2 = 0. Calculate s.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 677924 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*l = 68, -l = -4*f - 0*f + 116. Suppose -f*y = -24*y - 432. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -2)\/(6\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**3 + 3*j**3 + j**3)*(3 - 3 - 3 + (-1 + 3 - 1)*(4 + 1 - 4) - 2 + 0 + 0) as q*j**2 + y*j + p + v*j**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 316, 494, 672, 850, 1028?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 0*y + 3*y - y**2 - 3 - 2*y. Suppose -8*c + 3*c = -c. Calculate b(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4165754 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let a be 124\/(-72) + k\/(-9). Let i = -5 + 4. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18361986\/42 + 104\/(-91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -2 + 1 + sqrt(12)\/sqrt(6))**2 + 1.\nAnswer: -6*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-2 - 1)*-65. Is 16 a factor of 108\/q - 4488\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -21. Suppose 5*v = g + u, 3*v - v = -4*g + 18. Find the first derivative of 6 + 3*b**v - 2 - 3 - 7 wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2 + 11290*n - 11292 = 0.\nAnswer: -5646, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 5*t - 34. Suppose 3*p = -5*k + 15, -158 = -5*p - 2*k - 133. Let d(r) = 3*r**2 + 8*r - 51. What is p*d(x) - 8*g(x)?\nAnswer: -x**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 71. Let h be (4 - 5)\/(y\/(-12)). What is the greatest common factor of h and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - (2 + 0 + sqrt(1377)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14654*m + 24. Let o be a(-6). What is o rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (352\/55 - 7) + 1555030\/50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -65366589.\nAnswer: 65366588.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-2)\/(-3)*714\/28 + -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 11. Suppose -6 = 4*j - q. Which is smaller: j or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = 34*p + 32 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 98\/(-7) - 4\/1. Solve 19 = -5*c - h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 2*u**3 + 2*u**3)*(2*u - 3*u - 4*u) + (13 - 13 - 2*u**2)*(4*u**2 - 6*u**2 + 0*u**2) + 5*u**4 - 3*u**4 + 0*u**4.\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 2:57 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12518634 (base 9) to base 15.\nAnswer: 818621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 c when four letters picked without replacement from {c: 6, p: 6}?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/6 - 9*b. Let v(a) = -5*a**2. Give p(v(l)).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(175\/(-70))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 425\/((-15)\/3). Suppose -11*s + w = -5*s. Calculate the remainder when s is divided by 5*-2*1\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-44)*205\/((-35465)\/(-2768))?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32821187759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 139 = 61*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 9 - 81. Suppose -5*n - 6 = -m*n. Let c(u) be the third derivative of -u**6\/120 - u**4\/24 + u**3\/6 + u**2. Calculate c(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k - 5985 = -5*s, -s = -5*k - 9975. What is the hundreds digit of (-2)\/(-4) + k\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1333326 (base 7) to base 16.\nAnswer: -2b155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 48*n**5\/5 + 51*n - 30. What is the derivative of g(s) wrt s?\nAnswer: 192*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664691.\nAnswer: 664691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 160*g**2 - 1157*g**2 - 467*g**2 + 150*g**2 as y*g**2 + z*g + j and give y.\nAnswer: -1314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/5)\/y)\/y)\/y*y)**(-3)\/(y**(-2\/17)*y**(2\/5)*y) assuming y is positive.\nAnswer: y**(299\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*j. Suppose -1 - j = -i. Suppose 10 - 2 = i*z. Solve -2*m = 2*h + 4, 2*m - z*h + 16 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3 - 203*t**2 + 799*t - 597 = 0.\nAnswer: 1, 3, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16032 + 23449. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/12, 388, 2, 3\/7, -1, -6, 4 in decreasing order.\nAnswer: 388, 4, 2, 3\/7, 5\/12, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**5\/5 + z**3\/3 - 7. What is the third derivative of k(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -447512.653563 - -447270.653562823. Let w = m + 242. Round w to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 396*t + 14. Let g(f) = 333*f + 13. Let q(i) = -5*g(i) + 4*p(i). Let v(z) = -20*z - 2. Calculate 2*q(s) - 9*v(s).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/2083667 and 43\/100543.\nAnswer: 60426343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2) - 0 - (-11 - -10). Does 4 divide ((-48)\/(-28))\/(g\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436*n + 3 = 440*n - 3*x, -3*n + 1 = -x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 2*c + 145179988 = -21*s, 3*s + 108885024 = 4*c. Round s to the nearest 100000.\nAnswer: -36300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20959586 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 7*j**2 + 14*j - 23. Let i be u(6). Solve 5 = l - 5*s - 6, 4*l + 3*s + i = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 - 346*b + 88. Suppose -4*c - 8 = 2*u - 4*u, -5*u = 5*c + 40. Calculate the lowest common multiple of ((-2)\/u)\/(2\/48) and l(43).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**3*v)\/v*v*v)\/v*v**(2\/3)*(v*v*(v*v*v*v\/v**(-1\/3)*v)\/v)**(2\/61) assuming v is positive.\nAnswer: v**(1075\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-3 + (sqrt(208) + 0 - sqrt(208)) - (sqrt(208) - (sqrt(208) + 2 + sqrt(208)*2))) + 1)*-2)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f - 7. Suppose -30 = -5*a + i, -3032*a + 3027*a + 50 = 3*i. Let k(s) = 4*s - 8. Calculate a*u(y) - 6*k(y).\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3707.31 + -3659. Let p = r - 49. Round p to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 83 = 41. Let o = 533 + -409. Calculate the highest common divisor of q and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 5*v + 2*t - 0*t, 0*t + 358 = 3*v + 5*t + 314 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/12 and 151\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 374, -1, -2, -4 in ascending order.\nAnswer: -4, -3, -2, -1, 6, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 3*x - 5. Let h(w) = w + 5. Let c be h(-3). Suppose c*b - 11 + 1 = 0. What are the prime factors of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9707 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = -4*r, -8 = -5*n - 0*r + r. Let y(q) = 1 + 3 - n*q + q. Calculate y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*j + 67, -3*j + 4*c + 37 + 80 = 0. Suppose 41*z - 162 = j*z. What is the tens digit of 1*z + 5\/(-7 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -7 (c) -5 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v + 1. Let c(p) = -3*p**2 - p - 3. Let u(i) = i**2 - 6*i + 6. Let w be u(6). Suppose 5 = -w*o + o. What is o*c(t) - 2*b(t)?\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 27, 4\/9, -8, -3\/2, 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = 3*s, s + 3*a - 9 = 5. Which is bigger: 6 or s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4332 times -2?\nAnswer: 8664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (1*(sqrt(7) + -4))**2 - (3*sqrt(175))**2.\nAnswer: -1552 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23.3 - -1482.2\nAnswer: 1458.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 920*d**3 + 155*d**2 - 2 - 456*d**3 - 465*d**3 in the form h*d**3 + z*d + b*d**2 + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019126049 to seven decimal places.\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38180 and 34030?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b**2 + 15*b - 9*b**2 + 106 - 71 - 86. Let c be o(9). Solve -3*j - 2*i - 3 = 0, 6 = -c*j - i - 0*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 219943, 439882, 659835, 879808, 1099807, 1319838?\n\"Answer: i**3 + i**2 + 219929*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t = -66. Let l = t - -26. Suppose -35 = -l*m + 5. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b**2 + 4*b + 3. Let p be u(-3). Suppose 34 = 2*l + n + 7, p = 3*l - 3*n. What is the remainder when 50 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 29 = -24. Let y = j - -5. Suppose 2*o - 43 = r, 0*o + y*o - 5*r = 77. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-2)\/2 - -1. Suppose -a = -35 - 27. Suppose -m*l = -a - 116. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3)*(0 + 5 - 2)*(4*s + 7*s - 3*s) in the form b*s + d and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 7, a: 1, f: 3, b: 2, i: 3}. What is prob of picking 1 n, 2 i, and 1 f?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 707217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.489363 years to months.\nAnswer: 5.872356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 247*k. Let d(w) = 29*w**2. Give d(q(y)).\nAnswer: 1769261*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 4, o: 8}. Give prob of sequence opvp.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 495 divided by -99\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438883140?\nAnswer: 2, 3, 5, 7314719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88290229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-7)\/1568*((-42)\/4)\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7 and -0.39?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-5 + (2 - -2))*1. Find the second derivative of 17*n + 5*n + n**5 - 2*n**a - 14*n**5 wrt n.\nAnswer: -300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -92. Let v = 272.24 + -265. Let k = v - 0.24. Which is the closest to -1? (a) w (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*o + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25711057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + 154129 - 154129 - 4*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1153096642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36123100 is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7095)\/(-264))\/(-43))\/(1\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/10 - (-68)\/85. Let w(q) = q + 1. Let i(s) = -2*s. Calculate j*w(u) - 3*i(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*z + 14 = -123*z. Suppose -3*b + 555 = -0*b. Suppose 2*l - z*q = 7*l - b, 2*l - 4*q = 50. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786026 (base 11) in base 10?\nAnswer: -1252499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 216685\/(-119)) + (-8)\/(-68)?\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:12 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 0 + m**5 + 8 + m**2 + m**5. Find the second derivative of k(i) wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**10)**49\/(h**(5\/6))**(-18) assuming h is positive.\nAnswer: h**554","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, z: 3}. Give prob of sequence nz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.06 and 43720.\nAnswer: 133783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 - 7*g**4\/12 - g**3 - 3*g**2 - 3*g. Let d be j(-6). Let x be d\/27*18\/3. Sort -2, 0.5, x in decreasing order.\nAnswer: 0.5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1858*q**5 - 7*q**4 + 16*q**3 + 1235384*q**2 wrt q.\nAnswer: 111480*q**2 - 168*q + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.365 + 0.035. Let y = -4.254 + x. Round y to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26*60710\/(-1868)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1212.\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197 - 870*b**4 + 18*b - b**5 + 4*b**2 - b**3 + 2394*b**4 - 11*b - 196 wrt b.\nAnswer: -60*b**2 + 36576*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453890267.\nAnswer: 1039, 436853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 203 and 45269?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9586 + 9*b + 19177 - 9591.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625474 is divided by 3225?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1442611152 - -4?\nAnswer: 1442611156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 5*p - 1. Let w be t(-6). Let m be 8\/(-88)*2 - (-96)\/1012. What is the fourth biggest value in m, w, -3\/5, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 10*i - 16. Calculate y(15).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75614 - -144004. Suppose 3*f + 11*f = k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 2\/5, 10\/771, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01211866 rounded to 4 decimal places?\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 1. Suppose -t = t - q*t. Solve t = 10*r - 5*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - -52 - (-6 - (-12)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 69.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8212109 kilograms in tonnes?\nAnswer: 0.0008212109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -152 - -337. List the prime factors of i.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/30 - 2*q**2 - 188. Let o(b) = -312*b**2. Calculate o(k(x)).\nAnswer: -1248*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7638053\/55909794 + -62\/53863. What is the common denominator of -31\/4 and b?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -63*(-36)\/3024*8*2. What is the nearest to 0 in 7, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.27? (a) 29 (b) -116 (c) -18 (d) 0.4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**2\/4 + 1887*b\/4 - 1881\/2 = 0 for b.\nAnswer: 2, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.1992 decades in millennia?\nAnswer: 9.211992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -206\/209?\nAnswer: -206\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*s + 2, -4 = 5466*z - 5468*z - 2*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5838642, -5838634, -5838612, -5838570, -5838502, -5838402, -5838264, -5838082?\nAnswer: -5837850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 13 = 6*y + d, 3*y = -3*d + 15. Let o(f) be the third derivative of f**6\/60 - f**5\/20 + f**4\/12 - f**3\/2 + f**2. Determine o(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 7*y + 4. Let o be a(-4). Let q = o - -14. Solve 4*i = 2*d + q, 5*i - 4*d - d = 40 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -32*q**2 - 14*q + 6. Let v(o) be the first derivative of -7*o**3 - 9*o**2\/2 + 4*o - 335. Determine 5*n(h) - 8*v(h).\nAnswer: 8*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 197*v**2 - 3*v - 132. Determine h(0).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*j = -j - 18, -2*p - j = -3. Suppose 0*d + 5*h - 45 = 5*d, -45 = 5*d + p*h. Sort 3, 2, d in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 + 4*m - 8. Let q(y) = -3*y + 6. Let o be q(4). Let j be r(o). Let k(n) = n + 4. What is the least common multiple of 14 and k(j)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/5*2)\/(205\/(50225\/294))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2056, -3638.\nAnswer: -3638, -2056, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/36*(-7 + 18291). Suppose m = -1434 + 421. Let i = z - m. Calculate the common denominator of i and -111\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 44*h + 1042. Let d be v(-17). Let x(p) be the second derivative of 1\/40*p**d + 15*p + 1\/24*p**4 - 1\/6*p**3 + 0*p**2 + 0. Factor x(f).\nAnswer: f*(f - 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 8:57 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x, -4*x = -q - 10. Let j = -1094\/3291 - 1\/1097. Which is the nearest to j? (a) 5 (b) -1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 431325 and 23989125?\nAnswer: 5325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -41. Calculate the least common multiple of h and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:12 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 + 4*l + 2. Let n = -2423 + 2419. Give w(n).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) 294 (d) 10 (e) -0.3 (f) 0.01 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(185\/60 - 3). Let c be (x\/12 - 11\/(-2))\/1. Solve 0 = -c*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-5 - -9 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**2 - 5*j - 5. Let y(d) = 14*d**2 + 8*d + 8. Let p(s) = -8*i(s) - 5*y(s). Let n(g) = -2*g**2 - 38*g. Determine n(p(o)).\nAnswer: -8*o**4 - 76*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 7 = 2*g, -3*g + 5*h = -3 + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 9*o**8\/56 - 3*o**4\/4 + 7*o. What is the third derivative of z(b) wrt b?\nAnswer: 1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 h when four letters picked without replacement from hlhlhlh?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 10284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590154007?\nAnswer: 13, 17, 423251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 11*c + 1. Let x(k) = 3*k**2 + 24*k + 3. Let a(d) = -d**2 + d + 1. Let r(j) = -2*a(j) + x(j). Let g(w) = -7*h(w) + 4*r(w). Determine g(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24.6932l?\nAnswer: 24693.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1. Let l(g) = -7*g - 4. Let b(x) = l(x) - 6*v(x). Give b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*u - 4, -3*u - t - 18 = 2*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 14*c**2 + 27*c**2 - 3*c - 2 - 9*c**2 to the form l*c**2 + i*c + o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1))*c)**(-4\/11)\/(c*c**(-9)*c**8\/c*c)*c**8\/c*c**(1\/8)*(c\/(c**(-1\/4)*c))\/c**(-4\/7) assuming c is positive.\nAnswer: c**(4447\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*g**4\/5 - 6988*g**3\/5 - 369516*g**2\/5 - 6483172*g\/5 + 1191016\/5.\nAnswer: -4*(g + 53)**3*(11*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(-1 + 1 - 2)*(3*w - 2*w - 3*w + (-w - 2*w + w)*(-3 + 5 - 4) - 1 + 3 - 4 - w)*(14*w - 8*w - 9*w) in the form d + k*w**2 + s*w and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 3)*(0 - 2 - 1)*(-23 - 23 + 47 + 33*b) in the form x*b + l and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*p + 87248 = 0, 5*u + 51*p - 55*p + 218022 = 0. Round u to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:38 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 7104\/259) + -9 + 5 + 269\/7\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*5)\/(sqrt(11) - (sqrt(275) + (sqrt(275)*1 - sqrt(275)))).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3395, 3394, 3393?\n\"Answer: -y + 3396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (74 - (27 + -34 - -22))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d + 2. Let g be 3\/1 + (-3)\/(9\/6). Let w be y(g). Let h(s) = -s**2 + 0*s + 1 - 2*s + 7*s. Give h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -26*q**2 + q. Let h(b) be the second derivative of -34*b**4\/3 - 3144*b. Calculate y(h(d)).\nAnswer: -480896*d**4 - 136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03574 and 15?\nAnswer: 0.5361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*j - 84*j = -307 - 239 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 2\/1039, -4 in increasing order.\nAnswer: -4, 2\/1039, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + 5 + -5 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044 + 187665.\nAnswer: 187665.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s - 9. Suppose -3*g - 2 = 4*q - 28, -5*q + 25 = 0. Suppose 3*p = -g*p. Calculate l(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0455 + -0.4355.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(8) + -2*sqrt(8)))\/(sqrt(972) + (sqrt(972) - 4*sqrt(972))).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-27 - -10 - -30) + (-81 - 0)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 6*m**2 - 2*m + 8. Suppose 2*k - k = -4, 0 = -5*q + 2*k + 38. Let g be s(q). Which is greater: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13047377 (base 8) to base 15\nAnswer: -3c55c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -7. Suppose -2*m + 5*c - g = 0, 0*c - 3 = m - 3*c. Suppose 4*f + f = 30. Calculate the greatest common divisor of f and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4\/7, -2, -8, 3.\nAnswer: -8, -2, 4\/7, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**2. Let o = 26 - 24. Suppose -o*c + 20 = 2*c - 4*g, 4*g = -12. Let f(r) = -639 + 3*r**c + 639. What is f(l(b))?\nAnswer: 48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 137?\nAnswer: 8\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqhhqvhqlqqbwqh. Give prob of picking 1 b and 1 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 6. Let r = -25 - -30.5. Let h = u + r. Which is the closest to -2\/9? (a) 3\/5 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 18 = -8*r + 10*r, -r = -3*j + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -878 or -979?\nAnswer: -878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 3*a - 1\/12*a**4 - 4\/3*a**3 + 1\/2*a**2 + 0. Let v be s(-8). Solve -v = 3*k - 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 3*i**2 + 3*i - 4. Let s be q(6). Let a = -82 + s. Calculate the remainder when 112 is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32112 = 2131*y - 1685*y for y.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 12884981*t**2 + 41505638745120*t + 290540102580252.\nAnswer: (t - 6442494)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - w = -6*w, w = 2. Suppose -8 = -h*k + 2. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11 - 2 - 7 + k - 5 - 7. Calculate i(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*m - 675, -m + 5*s + 174 = 51. What is the highest common divisor of 46 and m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56777 less than -384?\nAnswer: -382.43223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10712 to three decimal places.\nAnswer: -1.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:20 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-21) + (2 - -2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11437.67 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2870, -5742, -8616, -11492, -14370, -17250, -20132?\nAnswer: -23016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -152300 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 + 3*w**4 + 2*w**4 + (3 - 5 + 0)*(117*w**4 - 32*w**3 + 32*w**3) in the form b*w + i*w**2 + h*w**3 + q + d*w**4 and give d.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1493082 or 1493086?\nAnswer: 1493082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j - 2*i - 1, 28 = 4*j + 2*i. Let n(f) = -f. Give n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -6*r + 282. Suppose 3*c = 9*c + r. Let u = c + 79. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71595, -66873, -62151?\nAnswer: -57429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -364bc - -1829?\nAnswer: -34b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 712906 - 712889.10187. Let w = 16.9 - k. Round w to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149974 is divided by 75.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-45)*3\/(-2). Put -3, -0.2, -2, p in increasing order.\nAnswer: -3, -2, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8150831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c + 35. Let y be 3\/(3\/(-2))*7\/(-2). Let i be k(y). What are the prime factors of i\/28 + (-1275)\/(-12)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 83.9 and -0.311.\nAnswer: -26.0929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-26)\/(-7)) + 40 + -33. Let r = -0.17 - -0.12. Let w = -0.15 + r. What is the third smallest value in k, -1\/16, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10504*o**2*w - o*w + 143813*w wrt o.\nAnswer: -21008*o*w - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3 + 24*x + 26*x + 2. Let b be v(-1). Let j = -20 - b. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 7*q + 11*q**2 - 9*q + 10*q - 9*q**2 as w*q + r + s*q**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 28 = 5*m, 75 = 3*b - 3*m. Suppose 3*p + s - 4 + 67 = 0, 0 = 4*s. Let t = p - -31. What is the remainder when b is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4919 (base 11) to base 10\nAnswer: 6433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16 = p - 3*g, g - 11 = 2*p. Let t = 5 - p. Suppose -2*f = -5*f + t. Calculate the remainder when 8 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvyvvvvyv. What is prob of sequence yvy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 98, 0, -2\/13 in increasing order.\nAnswer: -2\/13, 0, 6, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 598875 to the power of 1\/2, to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.885175 minutes?\nAnswer: 473110500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -10*i + 33. Suppose -t - 5*r = 20, i*r = 4*t - 3*t - 12. Suppose 4*a + 2*n - 34 = t, 12 - 38 = -a - 4*n. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.8, 1\/8, -2\/9 in ascending order.\nAnswer: -2\/9, 1\/8, 3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1321.3871 + 12.8729. What is f rounded to the nearest ten?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4528895 is divided by 238.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -51*d - 1. Let o(a) = 10*a + 147. Let p be o(-12). Suppose -2*r + 11 = 3*g, -4*r = 9*g - 4 - p. Calculate k(r).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 16337?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2329392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 smaller than -3352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 3. Let g be (2\/(-60))\/((-2)\/f). Let h be 4 - (1 + (-62)\/(-18)). What is the closest to -1 in g, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1848.9006ms?\nAnswer: 0.0005135835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 119186.9 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28239?\nAnswer: 3, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 8196.\nAnswer: 16392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (2 + sqrt(19) + -2)) + -3 + -6*(sqrt(19) + -1)*3.\nAnswer: -18*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(5)*-5 + sqrt(38) + (sqrt(38) + sqrt(38)*-3 + sqrt(38))*3)\/(-3*sqrt(162) - sqrt(72)*-2).\nAnswer: 7*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -62. Suppose -j*a + 5*a + 21 = -4*d, 4*a + d - 9 = 0. Suppose w = 6*w - 20, w - 13 = -a*x. Put 2, -25, x in ascending order.\nAnswer: -25, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 z when four letters picked without replacement from zjzjj.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b + 9. Suppose 2*d + 3*g = 13, 16 = 3*d - b*g - 26. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -563*t - 22519. What is s(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -178, -121, -64, -7?\n\"Answer: 57*b - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1121343443 (base 5) to base 11\nAnswer: 1477360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.36032l?\nAnswer: 29360.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4122 - -4332. Let i(h) = 53*h. Calculate the remainder when v is divided by i(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -3 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:59 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 3*g**3 + 0*g**3 + (0*g**2 - 5*g**2 + 4*g**2)*(2*g - 4*g + g) - 8*g**3 + 25*g**3 + 213*g**3)*(3 - 3*g - 3).\nAnswer: -687*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2131 - -3?\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040889 times 14?\nAnswer: -0.572446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545666.\nAnswer: 2, 3, 257611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126743939 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2490\/70 - 8\/14 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 3*y**2 - 2*y**2. Let n(j) be the first derivative of -20*j**3\/3 - 969. Give n(b(w)).\nAnswer: -80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -11) + 12 - (-1 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 1*-1 + 2. Suppose -4*p + g - 4 = 17, -3*p - 5*g - 33 = 0. Let w be 2\/(-2) - (p + 3). Sort c, -2, w in ascending order.\nAnswer: -2, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 - (-954 - -982)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - 10) + -8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 15)*4\/(-6). Let s(u) = -u**3 + 10*u**2 + 2*u + 5. List the prime factors of s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16146034 (base 7) in base 9?\nAnswer: -2834064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108919, 108896, 108871, 108844, 108815, 108784?\n\"Answer: -u**2 - 20*u + 108940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 7*p + 69. Factor -103*c - 6*c**2 - 196 + 2*c**p + 28*c + 50*c - 175*c.\nAnswer: -4*(c + 1)*(c + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -53*p + 8. Let h be m(-3). Let t = h - 142. Solve 0 = -5*g + t, 2*l + 4*g - 20 = 6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/56 - (-6)\/8. What is the nearest to 0.3 in j, 0.7, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 7*z + 12 = 0. Let u be z\/9*(-6)\/(-22). Let j = -0.1 + -0.1. Which is the third biggest value? (a) -1\/4 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2. Let l(p) = 19*p + 3. Suppose -162 = -2*g - g - 2*r, r + 171 = 3*g. Let f = -59 + g. Let y(v) = -1. Let z(k) = f*y(k) - l(k). Give z(a(n)).\nAnswer: 38*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1739 = 24*n - 5771. Solve -36*o + 48 = -n for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -640 (base 11) in base 15?\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 8*x - 13*x + 110, u = -5*x + 26. Calculate the remainder when (-4)\/10 - (-794)\/10 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 139.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15922962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 17. Let l be v(9). Let b(o) = 18*o + 8. Let n be b(l). Calculate the greatest common factor of n and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/38350 and -41\/6903?\nAnswer: 345150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101068489.\nAnswer: 89, 353, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose j*o + 2*o - 50 = 0. Suppose -3*f - 5*v + 37 = 0, 5*v - 8 = 4*f + 1. What is the least common multiple of o and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 1}. Give prob of picking 1 g and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -80. Suppose 7 = -f + d. Calculate the highest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35940288.92 to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {g: 5, x: 1, q: 1, s: 5, o: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**2 - 4*z**2 + 0*z**2 + (0*z**2 - 5*z**2 + 3*z**2)*(-11 + 6 + 3).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 2. Let b be k(-8). Suppose b*p = p + 27. Let o = 0 + 0. Solve h + 9 = -d - 2*h, d - h - p = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2 - 9. Let l(k) = 1. Let u(q) = -4*l(q) + s(q). What is the derivative of u(w) wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-2 + sqrt(112))\/sqrt(4) + sqrt(28))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3914664 to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5587 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 152 = -4*k, 0 = 3*f + 48*k + 77808 - 76035 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -41884 smaller than -41910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4721871*m**3 - m**2 + 4721870*m**3 - 4 + m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 20. Suppose -5*s + 17 = 77. Let t be q(s). Is 8 a factor of (-30)\/t*160\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*b - 4739, -o = -5*b + 2*b + 4718. Suppose 5556 = 9*f - 11*f - 3*x, -5*x = -5*f - 13890. Let t = f - o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.49516 - -1.49515817243. What is i rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**5 - 5*a**5 + a**5 + (-3*a + 2 - 2)*(0 - a**4 + 0) + a**2 + a**5 - a**2 - 73*a**5 + 85*a**5 - 47*a**5 + (a - 3*a**2 - a)*(a**2 + 2*a**3 - a**2).\nAnswer: -38*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7 (b) 2\/21 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662*11.3.\nAnswer: 7480.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321 (base 5) to base 15.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eceeteteee. Give prob of picking 2 e and 1 t.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3652 = 173*k + 452 + 1816 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/76? (a) -0.2 (b) -4\/9 (c) 11\/9 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156 + -63. Let z = 131 - m. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17963, 33504, 46623, 57320?\n\"Answer: -1211*y**2 + 19174*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m + 18*m + 2*m)*(-711*m**2 + 1430*m**2 + 6*m + 13 - 717*m**2) to u*m**3 + r*m + i + o*m**2 and give o.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36)*3*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(5) + (sqrt(180) - (-1 + sqrt(180) - sqrt(180))) - (sqrt(320) + 1 - sqrt(320) - sqrt(5)) - (sqrt(45) + 2 + -3)))*-4)**2.\nAnswer: 640*sqrt(5) + 2256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 852 - 461. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7290 - 7291 + 31*g**2 - 17*g**3 - 38*g**3 to u*g**2 + z*g**3 + w + m*g and give z.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*6\/36)\/(-6 - -9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 3}. What is prob of sequence rrj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1304 (base 5) to base 9\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12609766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187)\/((-387838)\/(-1464))*(-119)\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.0299.\nAnswer: 0.01495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*f**2 + 181*f**2 - 69*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 248*h + 84. What is the hundreds digit of f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 104. Suppose -3*m + 686 - 206 = x. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.796 - -4.196. Is -322 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 3:36 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -0.23, -1\/8, -3 in increasing order.\nAnswer: -3, -0.4, -0.23, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 19*u - 190. Let y be w(10). Suppose -9*o - 3*b = -5*o - 420, y = o - 2*b - 94. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {q: 10, v: 2, d: 1, w: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16902 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2559 - 2559. What is the closest to n in 2, 5, -13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**2*u*u))**15\/(u\/(u**(-1\/4)*u*u))**(-24))\/((u\/(u\/(u**(-3)\/u)))\/((u\/u**(-3))\/u)*u\/u**(-1\/11)*u\/(u**(-1\/5)\/u)) assuming u is positive.\nAnswer: u**(-3261\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2 - 22*g - 35. Let t(j) = 5*j**2 - 11*j - 18. Let d(r) = 6*f(r) - 11*t(r). Determine d(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from {w: 5, x: 4, s: 2, g: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 8*h**3 - 6*h**3 - 2665 - 6*h**3 + 2665.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139 - 529*g**6 + 82 - 2*g**4 + 57 + 88*g**2 + 1552*g**6 wrt g.\nAnswer: 122760*g**3 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1 (b) -4\/7 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14475 is divided by 2411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - a + 4)*(-1 + 3*a + 1) + (3 + 2*a**2 - 3)*((-3 - 1 + 2)*(95 - 40 - 16) - 3 + 0 + 5).\nAnswer: -155*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 47 (b) 4\/3 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -21. Let o(q) = -q**i + 2*q**2 - 5*q - 2 + 0 - 7. Let u be o(7). Solve u*y = y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 0*c - c)*(32 + 28*c - 60*c + 29*c).\nAnswer: 15*c**2 - 160*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = b, -4*k = 3*b - 5 + 1. Suppose -u + 9 = -b*u. Let y be (-3 - 26\/(-8))*u. What is the nearest to -1 in -1, 0.5, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + -2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20)*-1 - 6\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 52 + 3 = 0. Calculate the remainder when 53 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39509537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1. Let q(g) = g**2 - 5*g - 9. Let h = -11 - -7. Suppose 0 = 3*f + 7 - 4. Let m(p) = f*q(p) + h*y(p). Determine m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.7, 1, 0.1, 0.6, -1\/2, 3.\nAnswer: -1\/2, 0.1, 0.6, 1, 3, 8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxgzzaz. What is prob of picking 1 a and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 6*b - 4*b)*(-4*b - b + 4*b) + 10*b**2 - 10*b**2 - 2 - 21*b**2.\nAnswer: -20*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -969*t - 221 + 923 = -1086*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25834870 and 515140?\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5351\/52 + 411\/4. Which is the nearest to -63? (a) -2 (b) 1 (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15035*n + 71742*n + 50428*n.\nAnswer: 107135*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -16*y + 105. Let t(g) = g - 7. Let f be t(7). Let j = 5 + f. Solve 4*a - j*a + y = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 83, 279, 573, 965, 1455?\nAnswer: 2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -82*i**2 - 75*i. Let y(k) = 1481*k**2. Calculate t(y(f)).\nAnswer: -179855602*f**4 - 111075*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1 = -5. Let z be (0 - d)\/((-3)\/(-9)). Determine y, given that 10\/7*y + 4\/7 + 6\/7*y**2 - 2\/7*y**z - 2\/7*y**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5210, -5320, -5430, -5540, -5650?\nAnswer: -5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b. Let h(u) be the first derivative of -u**3\/3 - u - 2. Let r(z) be the first derivative of h(z). Calculate r(w(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**4 - 5*n**3 - 6*n**2 - 15*n - 236. Let a(s) = 3*s**4 - 2*s**3 - 3*s**2 - 6*s - 118. Let h(m) = -5*a(m) + 2*y(m). Differentiate h(j) wrt j.\nAnswer: -20*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*i + 161594 = 41435. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 1. Let t(d) = -10*d**3 + 35*d**2 - 25*d - 30. Let y be (-20)\/30 + 92\/3. Let m(k) = y*u(k) + t(k). Factor m(q).\nAnswer: -5*q*(q - 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -9*i**4\/2 + 40*i**3\/3 + 39*i**2 + 20*i + 30. Let y(k) = -k**3 + k. Let n(l) = -g(l) + 3*y(l). Factor n(c).\nAnswer: 5*(c - 4)*(c + 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5\/3 + 239554*b**4 + 2156003*b**3 + 21560086*b**2\/3 + 10540500*b + 5749368 = 0.\nAnswer: -3, -2, 718671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4114) - (sqrt(4114) + 2*sqrt(4114) + sqrt(4114)))*5 + sqrt(4114))\/(4*(sqrt(200) - -1*sqrt(200))).\nAnswer: -77*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x - 68*x = 84*x + 3600 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417138 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 42*a + 47*a - 3 + a**3 - 5*a**2. Determine n(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1141*d**4 - 9*d**3 + 18*d**2 - 1616. Let j(o) = 571*o**4 - 4*o**3 + 8*o**2 - 807. Let c(t) = -9*j(t) + 4*v(t). Differentiate c(b) with respect to b.\nAnswer: -2300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/5 + 3*k**2\/2 - 780*k. Let d(a) = 1. What is 4*d(b) - r(b)?\nAnswer: -4*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29449311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.21452mg in nanograms?\nAnswer: 71214520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.643968 decades to millennia.\nAnswer: 0.01643968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7373, -29599, -66673, -118595?\nAnswer: -185365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1221 and 0.05?\nAnswer: 1221.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*r, 2*y + 130*r = -2129 + 1501 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*8 - (5 + -7). Let i = y + 47. Let k = i - -185. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -14*i + 331. Give u(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 20. Suppose 3*z - 8*z - d = 0. Let k be (-587)\/z - (-4)\/(-10). Round k to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = t + 2. Let j be 4\/t - 43\/3. What is the least common multiple of j*(0 - 4\/6) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 11309760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 715 divided by -1.\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53956*b**4 + b*o**2 - 65664*o**2 + 2*o + 2 wrt b.\nAnswer: 215824*b**3 + o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/120 + j**5\/6 + 3*j**4\/8 + j**3\/6 + 7*j**2. Let l be m(-9). Solve -3*b - 4 = -l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/10 + u**3\/2 + u. Let p(a) = -15*a**3 - 25*a. Determine -25*d(r) - 3*p(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 167 - 73 = 0. Let o be 5 - ((-4 - x) + -7). Solve 3*t + 4*q = 18, t - 2*q + q + o = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3130 divided by -32033\nAnswer: 3130\/32033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -56, -51?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/((-1694)\/(-189) - 9). Calculate the highest common factor of 78 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7584103 rounded to one dp?\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -27*d + 33. Suppose 4*l - 120 = h, 6*h - d*h = 5*l - 157. Calculate the remainder when 49 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -17.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 22*c - 27. Solve 4*w - 3*w = 4*t + 18, c*w + 12 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 54*h + 8 - 38*h - 37. Let n be q(-12). What is the second derivative of -1027 + 17*a**5 + a + n wrt a?\nAnswer: 340*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**5\/60 + 3*u**2. Let f(l) = -6*l**3 - l**2 + l. Let d be f(1). Let s = d - 0. Let w(i) = -5*i**2. Determine s*a(c) + w(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 8, -124 = 2*c - 210*t + 228*t - 16*t for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**2 - 48*d - 192 = 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:36 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c. Let f(x) = 138*x - 7. Determine f(z) + 3*t(z).\nAnswer: 129*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from reeelirleririlrer.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/2306580 and 137\/60.\nAnswer: 2306580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, m: 1, f: 3, r: 6}. Give prob of sequence rd.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y**2 + 149. Let m(g) be the second derivative of g**3\/6 - 3*g - 673. Give m(d(l)).\nAnswer: -8*l**2 + 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3515955 is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 8. Let x be a(-2). Suppose x*l - 342 - 62 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:37 PM?\nAnswer: 594","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*h + 4*h**3 - 5*h**3 - 55*h - 3*h**4 - 2*h**2 - 10*h**4 to the form f*h**2 + c + r*h**3 + a*h + k*h**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - w + 0*w)*((4 + 14 - 6)*(2 + 2 - 3) + (-5 + 0 + 3)*(4 - 5 - 1)) to the form c*w + u and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12420 and 400?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(q**3 + q**2 - q**2) - 12*q**3 - 10*q**3 + 10*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 15. Let u(d) = d**3 + 2*d**2 - 2*d + 3. Let h be u(-4). Let w = 21 + h. Solve -v*k + 2*l + 28 = 0, -3*k + 6*k - 3*l - 24 = w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:38 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*d + 6*m - 4*m, 2*d + 5*m - 48 = 0. Solve 0 = -2*x - 3*r + 5, -5*r + d = 2*x + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(3000)*1*1)\/((sqrt(360) - sqrt(360)*2) + sqrt(10) + (sqrt(10) - 1*sqrt(160)) + sqrt(10)).\nAnswer: -10*sqrt(3)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 59842220 to the nearest ten thousand.\nAnswer: 59840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 85 (c) 20\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 6*a**2 - 5*a**3 + 3*a**3 + 5*a + 3. Let q(f) = f**2 + 3*f + 1. Let d be q(-4). Calculate the smallest common multiple of j(d) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76930.851 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -51*u - 4. Let j be i(-2). Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**5 - 2*w**2 + w + 2. Suppose 3*o = -13 - 5. Let g(n) = 2*n**5 - n**4 - 2*n**2 + n + 3. Let z(r) = o*t(r) + 4*g(r). Solve z(l) = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-13) + 90\/(-260). Let j = 8 + -14. Let s = j + 1. Which is the nearest to 0? (a) 1 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 105?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*x = -6, -3*l + 44 = l + 4*x. Let r(z) = 312*z - 2. Let p be r(-2). Let f be (-2)\/(-9) + p\/(-18). Calculate the highest common factor of f and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45640823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 525 - 774*a - 352 - 46 + 6950*a + 4762 wrt a?\nAnswer: 6176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -285\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 53 = -3. Let o(j) = -2*j**2 - 5*j - 5. Let a(c) = -3*c**2 - 7*c - 7. Let u(v) = h*a(v) + 7*o(v). Let q(m) = -132*m**2 - 2*m. Calculate u(q(w)).\nAnswer: 17424*w**4 + 528*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1071, 2135, 3189, 4227, 5243?\n\"Answer: -d**3 + d**2 + 1068*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5000*i**3 - 3019*i + 3020*i + 69955*i**3.\nAnswer: 64955*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -7. Suppose 0 = -0*g + g - 6. Let z be (-6)\/4*j\/g. Is z smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/40 and 411\/2*((-53)\/(-18) - 3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 532\/(-9842) + 446\/37. Solve -l*f = 2*f - 42 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 9*h**2 - 19*h + 10. Determine q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -7 - (1 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = 5. Let n be l\/(51\/(-24) - -2). What is the greatest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 562*n + 182. Let b(q) = 62*q + 21. Let r(l) = 52*b(l) - 6*j(l). Let g(t) = 14*t. Calculate r(g(s)).\nAnswer: -2072*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 497*w**6\/6 - 7141*w**2\/2 + 4364*w. Differentiate p(f) with respect to f.\nAnswer: 9940*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/24 + 97*b**5\/12 + 235*b**4\/4 - 6*b**2 + 2*b - 1. Factor l(u).\nAnswer: 5*u*(u + 3)*(u + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from rrjojjrorjjrj.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let g(p) = -2*p - 596. What is g(q(h))?\nAnswer: 2*h - 596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766655?\nAnswer: 5, 107, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 8. Let j(k) = -5*k - 9. Let b(l) = 2*j(l) - 3*s(l). Let u be b(7). Round u to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10208 - 9498. Calculate the greatest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:35 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2 + 102*d - 1156 = 0.\nAnswer: 17, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 1. Let k be u(5). Let c(f) = -3 - 73*f + 3*f**2 - 4*f**2 + 69*f. Give c(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 931 - 652. What is the highest common factor of 1581 and i?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1100201010110 (base 3) to base 5\nAnswer: 141110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 98. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 104 = 43 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + -2)*2*(-3)\/(-6). Let d(n) = -n**2 + n + 22. Let q be d(u). Solve -4*x + 8 = -q*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 42*k = 37*k - 418, -17*k - 145 + 31 = 3*j - 16*k for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -5336?\nAnswer: -5\/5336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2070462 and 65543.\nAnswer: -2004919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f - 162. What is x(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32900486 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 7 = 2*m, 0 = -m - 2*p - 1. Suppose m*n - 8*n = -156. Calculate the greatest common factor of n and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 219474, 219505, 219548, 219603, 219670, 219749, 219840?\n\"Answer: 6*d**2 + 13*d + 219455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-10) - (-224)\/(-32)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.507 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1785 and -65\/744.\nAnswer: 442680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 4*z**2 + 2*z + 2. Let t be y(-3). Suppose -n - t + 14 = 0. Suppose n = c + 5*w, 3*w + 11 = 3*c + 2. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 12*s - 21*s + 3*s to l*s + k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(900) + (sqrt(900) + (sqrt(900) + -2*sqrt(900) + sqrt(900))*5 + sqrt(900) - sqrt(900)))\/((sqrt(180)\/sqrt(4)*-2)\/(-1*sqrt(9)*-2)).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -353342038701.\nAnswer: -353342038703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1 + 6\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*u + 130*u - 74*u in the form x + i*u and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvqqvdqqoqqqqvq. Give prob of picking 1 v, 1 o, and 1 q.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 + 3*k**2 + 5*k - 2. Let f(v) = 5*v**3 + 3*v**2 + 6*v - 3. Give 5*f(r) - 6*n(r).\nAnswer: r**3 - 3*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -15*l + 8. What is the remainder when n(-6) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24960 times 77185\nAnswer: 1926537600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.7 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002666 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 12934511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/20)\/(62\/32 + -2). Suppose 4*m + 0*m = -2*t + 8, 2*m - 4*t - s = 0. Calculate the least common multiple of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 151, 102, 13, -128, -333?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 11. Let j = -6 - -2. Let v(o) = o**2 - 4. Let a(w) = j*y(w) + 11*v(w). Let m(u) = 5*u. Give m(a(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 475 - 470. Solve 8 = 3*z + f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m*m**42)*m)**(1\/51)*((m*m\/(m*m\/m**43*m))\/m*m)**(-12\/17) assuming m is positive.\nAnswer: m**(-517\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-384)\/(-288))\/((-2)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:50 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4617099, -4617096, -4617093, -4617090?\nAnswer: -4617087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) -1 (c) -2 (d) -0.18 (e) 0.0293 (f) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37177 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8084 - -8092. Let r(h) = h**2 - 17*h - 1. Determine r(o).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -85*j**2 + 3*j. Let d(u) = -171*u**2 + 5*u. Let r(b) = 4*d(b) - 7*t(b). Let p be r(-2). Let k = 5308\/15 + p. What is the biggest value in 4, -4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 - 39*b**3 + 183*b**2 - 369*b + 270 = 0.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2492*x**2 - 4308*x?\nAnswer: 4984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 6*m + 4. Let n = 12 - 8. Let d(p) = p**2 - 1 - p - 4*p + n. Let o(s) = -4*d(s) + 3*w(s). Find the second derivative of o(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 + 22*o**4 + 102*o**3 - 64*o**2 - 271*o + 210 = 0 for o.\nAnswer: -15, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 2 = -6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(5 + 13*j - 5) + j + 0 + 0.\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 281760 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: What is the hundred thousands digit of 3315730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2688 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 + v - 1. Let g(j) = -7*j + 11*j**2 - 4*j + 43 - 4 - 10*j**3 - 16 - 12. What is -2*g(d) - 22*n(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 89*m**3 - 5*m**2 - 26*m - 57. Is y(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1564\/306 - (-288)\/(-162)*(-1)\/(-4)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8952430, -8952380, -8952330, -8952280, -8952230?\n\"Answer: 50*y - 8952480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -84. Let n = j - 104.9. Let k = -6.9116 - n. What is k rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - 2 - (-2 - 1). Let g(v) = -2 + k*v + 2 - 3*v. Let p(t) = 3*t**2. What is p(g(m))?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459845*m + 2153822*m + 3214139*m + 1812998*m.\nAnswer: 6721114*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 69 + 11. What is the smallest common multiple of j and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -485 divided by -6\nAnswer: 485\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/19, -1.415, 4, -4 in ascending order.\nAnswer: -4, -1.415, -1\/3, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 49. Suppose m = v*m - 396. Suppose -5*a + 2*h = -133, a + 0*h - 2*h - m = 0. Calculate the remainder when 124 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 17*f + 77 = -24*w, -2*w + 5*f = 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(168) + -1*sqrt(168) + sqrt(168)))\/(sqrt(200)*4))\/(4*(sqrt(18)\/sqrt(6)*6 - 3*sqrt(3)*5)).\nAnswer: -sqrt(7)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 110111011 (base 2) to base 15\nAnswer: 1e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-7)\/(175\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -253 and -0.5?\nAnswer: 252.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 6) to base 9\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8 - (-30)\/8. Let f = 10 - 7. Solve 0 = 5*b - k + 5, a*k + 23 = -3*b - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 14*w - 11. Let j(f) = f**2 - 15*f - 11. Let d(m) = 2*j(m) - 3*x(m). Calculate d(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = -25. Suppose -l*f - 8*s = -3*s, 5*f = -2*s + 21. Suppose 3074 = f*y - 1361. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27099*m - 28317*m - 42630 = 0 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -544.\nAnswer: -3\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 745800 divided by -165?\nAnswer: -4520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-5) + 1\/5. Let u be 14643\/(-7311) - (-2)\/b. Let s = -182677\/34118 + u. Find the common denominator of 113\/10 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g + 75 - 21. Let s(m) = 54*m**2 + 5*m - 137. Let n(u) = -54*u**2 - 6*u + 139. Let w(p) = g*s(p) - 5*n(p). Differentiate w(b) wrt b.\nAnswer: -108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -794 + 2005. List the prime factors of a.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 553*p**3\/3 - p**2\/2 + 407*p - 237. What is the second derivative of q(o) wrt o?\nAnswer: 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*b - 866*b - 257*b - 617*b.\nAnswer: -1287*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -122 - -1 - (-1)\/1. What is the common denominator of (-4)\/3 + (-512)\/y and 48\/11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1061*0.5.\nAnswer: -530.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.10727 at most as big as 10.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 397551 = 397549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 56371*p**2 - 8*p + 14653 wrt p.\nAnswer: -12*p**2 + 112742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/((u**(2\/3)\/u)\/u*u*u))\/u)*u*(u**(-1\/5)\/u)\/u)\/((u*u**(-1)*u)\/u)**(-1\/20))**(-2\/9) assuming u is positive.\nAnswer: u**(-14\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 17 = -o, -5*q - 7 = -2*o + o. Let y = -222 - -217. Let r = y + o. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41942 and 180288?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-5))\/(-2*4\/460) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4725 and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 8*g)*(-84*g**3 - 3*g + 73*g**3 - 1 - 4).\nAnswer: -66*g**4 - 18*g**2 - 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let w(q) = -62*q**2 + 11*q - 5. Let j(i) = -w(i) - 4*y(i). Is 9 a factor of j(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-8)\/(-16))\/((-5)\/(-2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -15*b - 9. Let p = 2845 + -2850. What is the biggest value in b, -0.048, p?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695183082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118491600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p - 22*p + 6 - 6.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 390.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k + 11. Let j be n(-6). Let i = 44 - j. List the prime factors of i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(117) + -4 + sqrt(117) + sqrt(117) - (sqrt(117) + 2*sqrt(117) + 3 - (4 + sqrt(117) + 1 + sqrt(117) + sqrt(117)))**2)*5.\nAnswer: -40 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9)*(-37)\/(-148) + (45122\/36)\/11.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 104582.49806?\nAnswer: -104574.49806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2439 - 2425 - (-5 + (-2 - -4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1460\/3 - -486. What is the closest to k in 66, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5 + 988*f**4 - 47228*f**3 + 562720*f**2 - 2572850*f + 4088500 = 0.\nAnswer: 5, 37, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (-2 + sqrt(180))*1 - sqrt(180))*1 - 1*(-1 + (sqrt(180)*1)**2).\nAnswer: -177 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0*m**6 + 0*m - 7 - 1\/6*m**3 + 5\/8*m**4 + 0*m**5 + 17\/105*m**7 - 4*m**2. Find the second derivative of l(d) wrt d.\nAnswer: 408*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254524353 to the power of 1\/2, to the nearest integer?\nAnswer: 15954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43908 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11015200 and 800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2564637239 to the nearest one hundred thousand.\nAnswer: 2564600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 2. Let s be d(-4). Suppose 0*h + s*h = 0. Suppose h = -5*k - t + 26, t = 3*k - 11 - 11. Is k bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1371, 1399, 1427, 1455, 1483, 1511?\n\"Answer: 28*j + 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100011 (base 2) in base 5?\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 5)*(-37)\/2. Is 34 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -m - 14, 6*m = 5*m + 4*n + 7. Let z be (2*(-12)\/21)\/(-2). What is the third smallest value in m, 3\/2, z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 - 11*v - 8. Let g be l(-4). Let k be (-18 + 860\/50)\/(4\/(-10)). Solve g*u = k*h - 22, 2*u - u - 4*h = -23 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 1101, 12 in descending order.\nAnswer: 1101, 90, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7000.2 rounded to the nearest ten?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8082237*s**2 + 2423776?\nAnswer: -16164474*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 4. Let x be ((-7)\/2 - -1)\/((-6)\/1116). Suppose 0 = 5*v + 5*d - x, -299 = -6*v + 3*v + d. Let t = v + -94. Calculate c(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2. Let u(c) = -c - 4. Let h(f) = -3*f - 11. Let t(q) = 4*h(q) - 11*u(q). Determine t(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -4\/45, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 22*t - 10*t)*(0*t + 2*t - 3*t).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 65 + 125 - a**2 - 61 to f + n*a + t*a**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33231 = 2*k + 3*x - 23319, -2*x = -5*k + 141337. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*r)*(r - 61*r**2 + 64*r**2 + 2*r) as b*r**3 + s*r + l + x*r**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.03 (b) 0.3 (c) 4371 (d) 4\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 838 or 24308\/29?\nAnswer: 838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/104 and -83\/4?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-28)\/3 - (-30 - 19)\/(-7). Sort -2\/45, 0.2, j in decreasing order.\nAnswer: j, 0.2, -2\/45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 20*r**2 - 20*r + 1. Suppose -v = -3*h + 10, 175*v - 50 = 177*v + 4*h. Give c(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = z, 2*z = -3*z + 5*g + 50. Find the second derivative of -14*w - 43 + 46 - 8*w**5 + z*w**5 + 178*w**2 wrt w.\nAnswer: 20*w**3 + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 - 5*l**2)*(1 - 2 - 1) + 5*l - 5*l + 6*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25640968, -25640969, -25640970, -25640971?\n\"Answer: -u - 25640967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -4*o**3 - 15*o - 1. Let p(h) = -2*h - h**2 - 3318 + 2*h + 3317. Give -a(y) + 15*p(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.097 (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46259\/380 - 614\/5. What is the common denominator of (901\/(-408))\/(0\/(-13 - 5) - 10\/6) and d?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 - 1011 + 3042 - 4*r**2 - 1016 - 1015.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/792)\/((-1)\/20)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31*-6803.68\nAnswer: 210914.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42278 + 0.0297239374.\nAnswer: 42278.0297239374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -18686.309657?\nAnswer: 18673.309657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24265753 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, d: 2, w: 6}. What is prob of picking 1 d, 1 e, and 2 w?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19478620?\nAnswer: 2, 5, 7, 139133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3510\/450 + (-1)\/2*4\/(-10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 22*a + 2508. Does 46 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 865*c**2*l*u + 5*c**2*l - 2*c**2 + 9*c*l*u - 7966*c*l - c*u - l*u + u wrt u?\nAnswer: 865*c**2*l + 9*c*l - c - l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/(-9) - 2\/(-9). Let j(n) = -3*n + 11 - 6 + 2*n. Give j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-18))\/(310\/(-465))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 6*o = -35. Suppose -o*b + 9*b - 40 = 0. Let c(j) = 4 + 12*j - b*j - 3. What is c(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 73?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*s + 4*b + 37, -5*s = b + 120. Let r = 48 + s. Calculate the remainder when 73 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58084566 divided by 183?\nAnswer: 317402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02 less than -15403131?\nAnswer: -15403128.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159618, 159634, 159650, 159666, 159682, 159698?\nAnswer: 159714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and (1 + 1176\/18)\/((-4)\/(-24))?\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -90*r - 2394. What is b(-37)?\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 547 = 7*m + 80, 2*m + 149 - 19 = -2*w - 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (576\/216)\/((-4)\/(-9)). Solve 2*n + x + 6 = 0, h*x - x = -10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.103 and 0.086.\nAnswer: -0.008858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.001 in -0.3, 3, -1, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 - (17 - 2) - (1 + (-5 - -3))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2. Let d(k) = 640582419*k**2. What is d(g(x))?\nAnswer: 5765241771*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 220028311*v + 8*v**3 - 220028307*v + 2.\nAnswer: 8*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 2227810729.93\nAnswer: -2227810729.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112077 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48203882 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0313678953 - 0.03366.\nAnswer: -0.0022921047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 18 = -0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*4*4)\/sqrt(3).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - q + 1. Let p be z(1). What is the third derivative of 7*t**2 - 7*t**2 + 4*t**p - 4*t**6 wrt t?\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(448)) + ((sqrt(252) - (sqrt(252) - (sqrt(252) + (sqrt(252) - (sqrt(252) + sqrt(252) + sqrt(252)*1)))))\/sqrt(4))**2 + 0.\nAnswer: -16*sqrt(7) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 0, -i = -2*x - 0*x + 73. Let z = 28 - 38. Let l = 34 + z. What is the greatest common divisor of l and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 647 and 11646.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 313, 1337, 3033, 5401, 8441, 12153, 16537?\n\"Answer: 336*b**2 + 16*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n - 2*n - 9*n**5 - n**5 + 13*n wrt n?\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + ((sqrt(5) + (sqrt(5) - (sqrt(5) + -1 - sqrt(5)))*-3)*1 + sqrt(5) + (sqrt(240)\/sqrt(4))\/sqrt(12) + -5)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - 1) + -1)*3\/3. Let w(l) be the second derivative of a*l**4 + 2*l + 0 + 0*l**2 - 1\/10*l**5 + 1\/6*l**3. Find the second derivative of w(d) wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*w + 2, 0*w + 3*w = -z - 6. Suppose 0 = c + 7 - 1. Calculate the remainder when 24\/18 - 202\/c is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 + 2*r - 12. Let z = -529 + 537. Determine x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(80)*2 - sqrt(80)) - (sqrt(80) - (sqrt(80)*2 + 5)) - (-6*(0 + sqrt(80)) - (4 + 0 + sqrt(80) + sqrt(80)))) + -3)**2.\nAnswer: 384*sqrt(5) + 5156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 45*y + 9. Give d(1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -190360 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + f + 8 = 52, 2*x + 3*f = -44. Let v(o) = -o - 27. Let l be v(x). Let h(a) = -a**2 - 4*a + 4. What is h(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/425 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 21*o - 2. Factor 0*r - 4 + 26*r**2 + 23*r**2 - 8*r - 53*r**o.\nAnswer: -4*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*y + 30*y - 910 = 32*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 - 300*p**4 + 15000*p**3 - 250000*p**2.\nAnswer: 2*p**2*(p - 50)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2802 is divided by 63?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505.5885l to millilitres.\nAnswer: 505588.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -298962800 rounded to the nearest 1000000?\nAnswer: -299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -400, -815, -1354, -1993, -2708, -3475?\nAnswer: -4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqddvdggosssqqdqsqg. What is prob of picking 1 v and 1 d?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -v + 6. Let h(j) = 8*j**2 - 5*j + 4. Let z be h(v). Suppose -3*y = -2*y - 14. Calculate the highest common divisor of z and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 + 8 = 0. Suppose -2*q + 4*q = 5*r + 27, -3*r = p*q + 12. Let o be 3 + 3 + (r - -4). Solve 4*n = -o*j - 15, -20 = 3*n - 6*j + j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14*(-17)\/17*(-4403)\/(-17)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 + o + 1. Let k be u(0). Does k = -2\/249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 203013 (base 4) to base 12\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23050 + 25778. What is the highest common divisor of 264 and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, -6.9, -3\/5, -35 in increasing order.\nAnswer: -35, -6.9, -4, -3\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*h + 32, -3*k + 2*h = -0*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/3 + 6730*x**2\/3 + 13484*x = 0.\nAnswer: -6, 0, 3371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14778290 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116176792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 0.214, 0.5, 1\/27, -1.38?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102 and 247911?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11632*m**3 + 3*m**2 + 3*m. Suppose 3*h - 2 = -8. Let i be p(h). Let w = i - -41050. Round w to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**4 + 7*z**3 - 718*z**2 + 512582*z wrt z.\nAnswer: 36*z**2 + 42*z - 1436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-247 - -48 - -132) + -47?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 2*q**3\/3 - 125. Let b(z) = -z + 0*z + 5*z. Give b(m(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 + 8*w**3\/3 + 4*w - 2. Let q be a(-8). Suppose 5*u - 1 - q = 0. Solve -4*y + 3*p + 2 = 0, -y - p - u = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (360\/(-3 - -9))\/(1\/2) is divided by 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - 6*q. Suppose 3 = -105*g + 104*g - s, -s + 7 = -g. What is i(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10*(-275)\/220. Let q = 8 + -5. Let i = -42 - -167\/4. What is the closest to i in p, q, 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 74 = d - 2*a, a + 4 = 0. Suppose -62 = -3*g + 2*g + 2*c, 0 = -g - 2*c + d. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**4\/11 - 30456*u**3\/11 - 105484020*u**2\/11 + 81370314488*u\/11 - 81264800010\/11 = 0.\nAnswer: -7937, 1, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (238\/85)\/(1\/(-30)). Find the common denominator of 274\/a + 4\/12 and -13\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050104 to 5 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-8)\/6 + 4. Solve 6 = b*c + 46 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315768)\/(-649))\/(-223)*33\/2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 15*n**2 - 10*n - 89. Let x be y(16). Solve 4*h + 13 = -l, -h + 4*l = 5*l + x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132172*k**2 - 66083*k**2 - 66087*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.7, -0.07, 1\/4, 4 in decreasing order.\nAnswer: 4, 0.7, 1\/4, -0.07, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 5*l**2 - l + 8. Let k be m(5). Let r be -1 + (-7)\/(7\/(-16)) + -1. Let v = r - k. Solve 1 = -2*q + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 3\/2*p**2 + 11 - p. What is b(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58129, -58102, -58025, -57874, -57625, -57254, -56737?\nAnswer: -56050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59772 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6572\/465 - 14)*-5. Let s = 102 + -147. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421222 (base 5) to base 6.\nAnswer: -144305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*k + 4*k = 112, 0 = -3*u + k + 76. Suppose 7*i - u = 6*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = b. Let k = -2 + b. Put k, 5, -3 in decreasing order.\nAnswer: 5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(171) + 1*sqrt(171) + 1)**2 + sqrt(171) + 2 + ((sqrt(171)*-1)**2*-4 - (sqrt(171) + (-4 + sqrt(171)*1)**2)).\nAnswer: -184 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*-4*(2 + 2 + 1*(sqrt(13) + -4)*5 + 0))**2.\nAnswer: -2560*sqrt(13) + 9291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 times -121002\nAnswer: -2904.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b, 5*c = b + 2*b + 25. Find the third derivative of 69*z**5 + z**2 - 69*z**5 - c*z**6 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878 (base 14) to base 9.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8795, -70442, -237689, -563336, -1100183?\n\"Answer: -8800*p**3 - 47*p + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 5*i**2 + i - 13. Let g be o(-3). Suppose -w + g = -2*w. Which is the biggest value? (a) -2\/3 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/4 - 9\/(-6). Let n = q - -25. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 71355.59m?\nAnswer: 71.35559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*y + 5, 2*j - 3 = 5*j + 2*y. Let v be -1*j\/(-4) - 9\/(-4). What is the third derivative of 14*d**v - 13*d**4 - 28*d**2 - 13*d**4 wrt d?\nAnswer: -624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2 and 652\/(-18908) - (-2466)\/60581.\nAnswer: 4178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1842 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -100*s - 5. What are the prime factors of q(-1)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*s = -l - 15, 4*s = 12. Suppose l = -8*t + 6*t + 8. Let g(b) = 12*b + 9. Is g(t) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neiefcr. Give prob of picking 1 c, 1 e, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-27))**(-35) assuming x is positive.\nAnswer: x**875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4509 and 8?\nAnswer: 36072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.45 * -1.\nAnswer: 38.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91*(-45)\/(11655\/(-74)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 80*f + 57. Let c be p(26). Suppose -10*o + 12*o = c*g + 954, -o + 477 = 3*g. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -80. Let z(r) = -r**2 - 11*r + 15. Let l be z(-12). Suppose -47 = -l*n + x. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0338153 take away 1.044?\nAnswer: -1.0778153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-1 + 1)**2 + 5 + (3 + (sqrt(175) - (sqrt(175)*1 + 2)))**2.\nAnswer: -10*sqrt(7) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 34*k + 26 = 30*k, 40 = -25*j + 2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 70\/15 - (-10)\/(-15). What is the second derivative of 0 + 1 + 18*m**5 - 723*m - j*m**2 + 791*m wrt m?\nAnswer: 360*m**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3, -29, 2, -8.\nAnswer: -29, -8, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Suppose f*z + 2*j - 92 = 0, 21 + 15 = z + 3*j. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 127, 306, 565, 910?\n\"Answer: t**3 + 31*t**2 + 5*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose 2*w - w + 4 = 0, -5*y = 5*w + 5. Suppose y*b - 14 - 22 = 5*p, 0 = 5*b + p - 32. Solve i*l - b - 3 = -f, 0 = -2*f - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-161 + 8435)\/(4\/8 + 1\/2)?\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 53\/3 (b) 19 (c) -8\/19 (d) 0.01 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718768375 to the power of 1\/2, to the nearest integer?\nAnswer: 41458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (765\/(-255))\/(1\/((10\/5)\/(-6)*89))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/27)\/o)\/o)\/((o\/(o**10*o))\/o) assuming o is positive.\nAnswer: o**(245\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 = 2*z, 0*c + 9 = -3*z - 3*c. Let 0 - 2\/3*p**3 + z*p + 2\/3*p**4 + 0*p**2 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*j - 4 = 2, 4*c + j = 0. Let m(w) = -3*w**3 + 2*w**2 - 2*w + 1. What is m(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/100 and 143\/690?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6106133 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -22\/53, -5, 0.2 in descending order.\nAnswer: 0.2, -0.4, -22\/53, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3823?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7535*o + 4934*o - 1529*o)*(6 - 18 + 6)*(3*o - 2*o + 0*o) to s*o**2 + d + w*o and give s.\nAnswer: -65640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9649.\nAnswer: 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4764 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -89393b + -9?\nAnswer: -893948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/20*-4 - 1*-16. Suppose 10 = -15*v + h*v. Let z(k) = 3*k. Calculate the remainder when z(3) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 777? (a) 2\/5 (b) -1\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*d + 5 + 3, 0 = 5*b. Suppose -d*s + 280 = -4*u, 5*s - u = -0*u + 655. Calculate the highest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = -5. Suppose 4*o + 2*v = 3*o + 2, -o + m*v + 2 = 0. Solve 5*p = -i + p, -3*i + 10 = o*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 8. Let t = 122.2 + -151. Let k = 29 + t. What is the closest to -2\/5 in x, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4202388.96 to the nearest ten thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764)*-2 - sqrt(1764))*4 + 1*-1*sqrt(1764))\/((sqrt(72)\/(sqrt(4)\/sqrt(2)))\/(-2*sqrt(12))).\nAnswer: 364*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = 8*x - 363. Suppose -2*p + 46 = 228. Let w = p + x. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(-23)*(v*v\/(v*v\/(v*v**0)))**17 assuming v is positive.\nAnswer: v**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -69259.08792 to the nearest one hundred.\nAnswer: -69300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*s + 1. Let z = 5 - s. What is the derivative of 4*t**3 + z + 0 + 0 - 4 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133181417 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53.8 - 8.8. Let y = z - 44.3. Which is greater: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from zsxixzzzui?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2 - 2*p. Let a(m) = 15*m**2 - 5*m. Suppose -3*d + 5*z = 31, -2*z + 6*z - 28 = 4*d. What is d*a(v) + 5*n(v)?\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 4, f: 5, c: 7}. What is prob of picking 2 s and 1 f?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -5\/4 (c) 0.1 (d) 1\/2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -221990 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2. Let b(o) = 83146*o**2. Give b(t(x)).\nAnswer: 83146*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-40)*2\/(-12)*(119 + -14)*-28?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 12:09 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 396 + -396.00000244. Round s to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(114)\/sqrt(150))**2 - (3*(-2 + sqrt(19)))**2)*3.\nAnswer: -15468\/5 + 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10 - 2 + 260*d + d**2 - 264*d. Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6614 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 9*a**2 + 11*a - 20. Let k be d(8). Solve -2*n = k*b + 6 + 2, 2*b + 5*n = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(700)*-1)*1)**2 - (sqrt(84) + 2*sqrt(84)*1)\/sqrt(12)*6.\nAnswer: -18*sqrt(7) + 7\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 440\/15 - 1764\/(-126)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 14*x - 12*x. Calculate the remainder when 40 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316020 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -60 (b) -1 (c) -0.2 (d) -2 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzfy when four letters picked without replacement from {f: 1, k: 1, n: 1, s: 5, z: 4, y: 5}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275977?\nAnswer: 13, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7947323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 11*j**2 + 24*j + 50. Let i be r(-9). Is -8*120795\/(-80) - (-10)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.911658796 and -0.23.\nAnswer: 26.681658796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-6))\/b))**(-12) assuming b is positive.\nAnswer: b**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 + 0*v**3 - v**3 + (-4 + 4 + 2 - v**2)*(v - 2*v - 3*v) in the form r + z*v**3 + c*v + j*v**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15050220)\/(-68) + (-632)\/(-2686) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - -202. Let j be ((-234)\/h + 1)*643. Let x = j - -9\/61. Calculate the common denominator of x and -21\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 74 = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f - 33. Let g be w(-3). Which is the closest to g? (a) -4 (b) 28 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (-2 + sqrt(1700)))*6 - -6*(sqrt(1377) + 1 + sqrt(1377))**2.\nAnswer: 216*sqrt(17) + 33066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/2 - 12*d. Let u(k) = -5*k**2. What is u(l(q))?\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 5*i + 2. Let m be p(5). Suppose -m - 19 = -n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**6\/18 + 74*g**5\/15 - 19*g**4\/3 - 74*g**3\/9 + 25*g**2\/2 + 3135. Solve v(r) = 0.\nAnswer: -75, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 498410 and 42158.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -390, -4, -3, -5, -2, 2 in ascending order.\nAnswer: -390, -5, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3752 = -3*v. Let a = v - -695. List the prime factors of a.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 18*s + 5*x + 174900 = 0, -3*x = 3*s - 40374. Is 65 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 626, 621, 616, 611?\n\"Answer: -5*h + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -591.3 + 590.8007. Let d = -0.5 - z. What is d rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40240494.\nAnswer: 2, 3, 7, 389, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d8aa + 1?\nAnswer: 1d8ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764 = 446*c + 2250 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-22))\/p*p)**24\/(p**(-2\/7)\/p**26) assuming p is positive.\nAnswer: p**(4048\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 129732139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18782 + 17799 - 38490)*(d + d - 3*d).\nAnswer: 1909*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32898086761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53606, 107211, 160816, 214421, 268026, 321631?\nAnswer: 375236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 - 3520*a**3 + 2*a**2 + 546 wrt a.\nAnswer: 120*a**3 - 21120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-96))\/(84 + -59 - (-603)\/(-24))\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 160\/100 + 0 + 4\/10. Calculate the least common multiple of 4 and (-28)\/(-1)*l\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-9 - -3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(52)))**2 - (sqrt(468)\/(-2*sqrt(9)) - sqrt(52))**2 - (sqrt(468)\/(-2*sqrt(9)) - (0 + sqrt(52)*4)).\nAnswer: -7*sqrt(13) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -253781 - -647254. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(8\/(-16)). Suppose 3*s + i + 11 = 0. Let t be 3\/s - 9\/(-12). Solve t = z + 2*z + 5*a - 20, 0 = 4*a - 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, 727, 2300, 5365, 10420, 17963?\n\"Answer: 83*k**3 - k**2 + k + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c - 2*c + 36*c + 62*c as n*c + b and give n.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18826999, -18826997, -18826995, -18826993, -18826991, -18826989?\nAnswer: -18826987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*d + 18 = 1221*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 30. Suppose -5*m + 0 - 27 = -f*j, -2*m = -5*j + 78. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*g - s - 4*s, 0 = 2*g + 4*s - 70. Let i = g + -24. Suppose 0 = -i*d - 0*d + 12. Solve d*h - 3*h = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 0 + -58 + (-107 - -120).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903208?\nAnswer: 2, 112901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2448) - (sqrt(2448)*1 + 3))**2 - (-3 + (0 + sqrt(2448))**2 + sqrt(2448)) - (0 + sqrt(2448) + sqrt(2448) + 3 + (6*(sqrt(2448) + 1))**2)).\nAnswer: -90605 - 900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:10 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -227ba4?\nAnswer: 227ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131890, -263914, -395940, -527968?\nAnswer: -659998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -16*l + 59. Let m be s(4). Let q be (-1 + 29\/m)*65\/(-26). Solve -q = -u - 4*h, -5*u - 3*h = -15 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**29*y*y*y**(3\/5))\/((y\/(y\/(((y*y**(-1\/7))\/y)\/y)))\/y**39))**(-26\/5) assuming y is positive.\nAnswer: y**(-67106\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*x + 7, -5*x = -15. Let t be -3 - -2*n\/(-4). Let s be 2\/(16\/(-6) - t). Sort -4, s, -1 in ascending order.\nAnswer: -4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 12*v + 1. Let q be k(-12). Let w(h) = -h**2 + 5*h. Let p be w(5). Let j be 0 + 2 - -1 - p. Sort -1, q, j in ascending order.\nAnswer: -1, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0*n)\/n)**(14\/3)*(n*n**(-6))\/(n*n*n*n*(n\/n**(-1\/5))\/n))**(-3\/34) assuming n is positive.\nAnswer: n**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 21*v. Suppose 38*s - 45*s - 336700 = v. What is s rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2256750 and 81.\nAnswer: 20310750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -50 - -14 - (3 - -2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 33, 47, 63, 81, 101?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let s = -5.6 - -6. Let v = s - -0.1. What is the biggest value in w, 0.3, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v + n + 2, v - n = 7. Suppose -1 = v*l - 19. Suppose 0 = 2*t - l + 2. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2441, 4889, 7409, 10001, 12665?\n\"Answer: 36*v**2 + 2340*v + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*i - 30*i - 51*i - 2945 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 8*b - 8. What is the hundreds digit of l(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 784586 and 1300761?\nAnswer: 49428918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from uqqiqsx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 188, 895, 2800, 6497, 12580, 21643, 34280?\n\"Answer: 99*m**3 + 5*m**2 - m + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*sqrt(170)*-1)\/(sqrt(40)\/(sqrt(4) - (sqrt(4) - -2*sqrt(4)))))**2.\nAnswer: -12240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i + 16. Let b(k) = -5*k - 6. Let n(m) = 8*b(m) + 3*l(m). Let z = -3 + 2. Let y(q) = q**2 + 6*q. Determine z*y(h) - 6*n(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbelbldbylbybgegblyl. Give prob of picking 1 l and 1 d.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cssssscgsscgc. Give prob of picking 1 c and 2 g.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 28. Let k(i) = -3*i - 8. Calculate the lowest common multiple of w and k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 1. Let v(s) = 3*s - 1. Let n(o) = -v(o) + 6*w(o). Give n(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 1607, 1\/12, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*a - 54 = -148*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d - d + 5*d + 6*d**2 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - -0.1. Let r = -230 + 230.06. Put 0.4, m, -1\/2, r in increasing order.\nAnswer: -1\/2, r, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u - 72 = -15*u. Let f(a) = 42*a - 136*a + 40*a + u*a. Let v(t) be the first derivative of -3*t**2\/2 - 3. Calculate v(f(x)).\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/11)*c)\/c**(-3\/8))\/((c\/(c**(3\/8)\/c))\/c**(-1\/4)))**14 assuming c is positive.\nAnswer: c**(-105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**35)**(-2\/25)*q**31*q\/q**38 assuming q is positive.\nAnswer: q**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 34*-1.407\nAnswer: -47.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 418, -1370, -4350, -8522, -13886, -20442, -28190?\n\"Answer: -596*s**2 + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 71805936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14385892*n**5 - n + 13089419.\nAnswer: -287717840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 + 1\/(-1). What is the third biggest value in -1, 1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1 - 57*s + 116*s - 63*s. Let q be u(-20). Calculate the greatest common factor of 54 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 9) in base 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let o(j) = j**2 + j + 1. Let g(d) = -4*d**2 - 6*d - 6. Let u(t) = -g(t) - 6*o(t). Give u(w(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*u - 1, 9*l - 5*u - 13 = 10*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001363 rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwzwzhaphrhpwhhwh. What is prob of sequence awrw?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*d*j**2 + d*j + 12*d - j**2 - 2 wrt j.\nAnswer: -92*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-104)\/(-64))\/1 - (-3)\/8. Suppose -9 = 4*x - 109. Suppose 0*d = 5*d + x. Put y, d, -1 in ascending order.\nAnswer: d, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 325 - -385. Suppose -17*f + n = -633. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 11*b + 5. Let f be s(-11). Let q = -24 - -20. Let j(h) = 6*h. Let l(r) = 5*r. Give f*l(p) + q*j(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/((h**(1\/3)\/h)\/h)*h)\/h)\/h)\/(h\/(h\/((h**10*h)\/h*h))))\/(h**(-2\/27)\/((h*h**(-6)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-385\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-9 + -2 - -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598117561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 7*x**2 - 5*x. Let w(l) be the first derivative of l**4\/2 + 3*l**3 - 2*l**2 - 2*l - 8. Let c be w(-5). What is the tens digit of f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*b = -87, -c + 5*b + 185 = 4*c. Calculate the remainder when c is divided by 2\/(-13) - (-4)\/(468\/1071).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 31*a**2 - 6*a - 178. Let d be t(-31). Is 3981 - (-21 + 9 + d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 - (-40223)\/76. Suppose 476*h - q = 471*h. Calculate the greatest common divisor of 159 and h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4394 is divided by 2600.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7 - -2784)\/(-3 - -4).\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 9:17 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 24*i + 3002. Let p be f(-125). Sort 6\/13, 5\/6, -3\/2, p.\nAnswer: -3\/2, 6\/13, 5\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29099336 at most -29099338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6161 (base 15) in base 7?\nAnswer: -113650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -244 + -4?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (21 - -64 - (-27 - -35))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 4. Suppose 0 = 3*m - z - 23, -3*m = -6*z + 2*z - 20. Let a be f(m). Solve 0 = -a*g + c + 17, -3*g + 11 = -2*c + 3*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24036551 is divided by 1128.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438365765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-seven halves of a kilogram?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 6*j**2 + 2*j + 6. Let v be w(-3). Suppose -3*f - 254 + 242 = 0. Put -5, -7, f, v in ascending order.\nAnswer: -7, -5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = -2*x + 42 + 9, x = 3*x + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1157 and 0.201.\nAnswer: 1157.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 16 = -24*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 64848, 129716, 194600, 259500, 324416, 389348?\n\"Answer: 8*u**2 + 64844*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 + 97.17. Let u = h - 34.17. Is u >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k + 2. Let y be s(1). What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4334726591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 7)*(-21*w - 751 + 751).\nAnswer: 147*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(3*4*sqrt(171) + -2 + 5 + 3))**2.\nAnswer: 5184*sqrt(19) + 295920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + -30 - 1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 956*y - 18 = -954*y, 0 = m - 4*y - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(1 + sqrt(275)).\nAnswer: 6 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 35*k**2 + 338*k - 176. Calculate b(-11).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 43. Let f be (b + 0)\/(0 - 1). Let i = 58 + f. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 838647.\nAnswer: 838647.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3314 - 586 = -8*o. Let r(v) = 47*v - 3. Let w be r(-4). Let a = w - o. Is a a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.0213 + -0.3213. What is the third biggest value in -5, 0, s, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let u = 2.1 - 1.6. Put -1\/7, u, i in increasing order.\nAnswer: -1\/7, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:00 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**2)\/z)\/((z\/z**(-5))\/z))**(-2\/61)*z**(-1\/6)*z**(-2\/7)*(z**(1\/4))**50 assuming z is positive.\nAnswer: z**(15727\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o. Let d(q) = q + 2. Calculate d(c(p)).\nAnswer: -10*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/6 + 2*j**2 + 64558*j. Suppose -4*l + 3*l + 3*s - 14 = 0, l - 2*s = -10. Calculate g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 1. Let y(t) = -511*t - 4. What is y(f) - 3*z(f)?\nAnswer: -514*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55838, 56083, 56366, 56687, 57046, 57443?\nAnswer: 57878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5045 (base 11) in base 8?\nAnswer: 15060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142*x + 147*x + 1 + 15)*(-5*x**2 + 4*x**2 + 2*x**2).\nAnswer: 5*x**3 + 16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than -294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -489210, -489223, -489246, -489273, -489298, -489315, -489318, -489301?\n\"Answer: r**3 - 11*r**2 + 13*r - 489213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -8. Let v be 3 + 0\/m - 1. Suppose -4*j = -s - 23 - 18, 0 = -j - v*s + 8. Solve -4*g - g + j = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208534911 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 7*j**4\/12 + 79*j**3\/6 - 496*j**2. Determine l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 4*f + 9. Let z be i(6). Let p(a) = -a**2 + 4*a + 8. Let d be p(5). Let u be (-3 - -2)*2 - 0\/d. Which is smaller: z or u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 5*f = -28*t + 13, 2*t + 26 = 4*f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6.2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 745*n - 68529. Give k(92).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:58 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*y - 450*y - 157*y + 300*y.\nAnswer: -687*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -100171?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1192 + 1198. What is the least common multiple of 5 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2394*p**5 + 710*p**2?\nAnswer: -143640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(q - 5*q + 2*q)*(0*q + q + q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 7 + (1 - 5 + 2)*(-24 - 6 + 1))*(0*p + p - 4*p)*(3 - 2 + 0) as m + q*p and give q.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:03 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*r - 13*r + 8*r)*(-10 - 20 + 0)*(-4 + 1 + 1) to the form m*r + l and give m.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 142 + -2 + (-230 - -199)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -176*(3\/(-2))\/3. Find the third derivative of 87 + o - 172 + 10*v**2 + 16*v**3 wrt v.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 0*k + 0*k - 5*k - 2*k - k**2. Let g be j(-5). Calculate the highest common factor of 70 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-21 - (-7 + 9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 1:12 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 86.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10000 and 6000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -15 - 1. Let n(q) = -q**3 + 6*q**2 + 2*q. List the prime factors of n(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.727296 to two decimal places.\nAnswer: 12.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**3 - y**2 - 2*y. Let o be -4*(4 + (3 - (4 - -4)))\/(-4). Give b(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let f be 1\/(-2)*(131 - -9)\/(-7). What is the first derivative of r + h - 18 - 5 + f wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5599, -11277, -16953, -22627, -28299, -33969?\n\"Answer: x**2 - 5681*x + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41610461003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 20*w - 20. Let s(k) = -k + 1. Let h(y) = a(y) + 12*s(y). Let b(d) = -2*d. Give h(b(x)).\nAnswer: -16*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + (-13 - (380\/(-18) + 1))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubu when three letters picked without replacement from {b: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/55*-75*(-4)\/8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20292378 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 66 + 6. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*r + 15 = -18*k + 419*r, k + 25 = -5*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let j(y) = -21*y + 4. Let l(g) = 3*j(g) - 6*t(g). Let k be l(-5). Suppose -3*q = 15, -4*x - 3*q + k = -0*x. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8 + -1)*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 305 - 1310 = 0. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-266)\/(-57)*(-6)\/(-4). Suppose -2*m = 2*k - c - 1, k = -2*m + 2. List the prime factors of -4*((-39)\/k + 4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 72 (c) -0.05507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482822669.\nAnswer: 3, 281, 1758983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22380)\/15*88\/(-64) - 6\/4 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 1}. Give prob of sequence zk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2382 - -2407. Calculate the remainder when 1347 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 0, -b + 157 = 3*b - 5*d. Suppose -p + 160 = b. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2*h)\/h**(-6))\/(h**(-2)*h\/(h*(h*(h*h**4)\/h)\/h)))\/((h*h**(-1)*h)**(15\/8)\/(h**(-3)*h*h**(4\/9))) assuming h is positive.\nAnswer: h**(833\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6*(-110 - 4). What is the highest common divisor of r and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1. Let k(b) = b + 1. Let r = -6 - -10. Suppose w + 3 = r. Let i(q) = -1. Let u(h) = w*k(h) + 4*i(h). Give -6*f(o) + 2*u(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 1. Let k = -1636 - -1641. Determine f(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3717 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11\/5, 1\/5, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 12282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7*21\/(-14))\/((-2)\/(-84)). Let a = m + 621. Is a a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 21727330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.804 + 0.034. What is z rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.572193 centimeters to nanometers.\nAnswer: 5721930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7118 = -86*j - 2216 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 4. Suppose 3*y - v = y. Suppose y*l = 4*l + w - 52, -5*w = -4*l + 244. Is 28 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(8\/52 + (-177)\/390). Let o = 30 + u. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 16 + 9)*(-4 + 2 + 0)*(-3 + 5 + 3)*((6 - 5 + 3)*(2*b + 0*b - b) - 5 + b + 5).\nAnswer: 650*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1972, -11075, -35792, -83929, -163292, -281687, -446920, -666797?\nAnswer: -949124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.3 (b) -3\/2 (c) 256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -253*v**2 - 3*v + 4. Let s(d) = -758*d**2 - 10*d + 12. Calculate 10*p(g) - 3*s(g).\nAnswer: -256*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 44478447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687225 by 4165.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 9724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 33*n**2 + 31*n - 61. Give x(-32).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -46. What is the units digit of 1 + -2 + q - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (0 - -1) - -5. Let p be 3\/(-6) + (-1)\/35. Let a = -1\/35 - p. What is the second smallest value in m, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*1*sqrt(77))\/(sqrt(112)*1*-3).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = l, -4*l + 5*w + 11 = 2*w. Let y(v) be the third derivative of -5*v**4\/24 + v**3\/3 - v**2. What is y(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581299?\nAnswer: 73, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (5 - (-66)\/(-12))*0. Solve -a + 6 = -p*a + x, 5*a + 6 = -x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15189\/305 - 50 - 1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7974 (b) 1\/3 (c) -49\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637416 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -188*s + 62. Let c(d) = d. Let u(v) = -b(v) - 3*c(v). Let n be u(-3). What is n rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 11\/5704, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*b - 13 = -53, 3*b - 30 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 899585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:47 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.46397 rounded to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.098 + 0.568. Let i = d + 0.03. Which is the closest to -1? (a) 2\/5 (b) i (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 times -0.076?\nAnswer: 0.002128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8470?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 79717 - 39860 + 33*m - 3*m**2 - 39860 as a + r*m**2 + f*m and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pddckddddccdkdpkckp. What is prob of sequence kdc?\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184 - -184. Let g be -2 + -1*(-2 - 4). Let u be ((-6)\/32)\/((-1)\/4). Which is the third biggest value? (a) g (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 84\/5?\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9670043, -9670104, -9670165, -9670226, -9670287?\n\"Answer: -61*u - 9669982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79656847933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2*(-1 - 1). Suppose w*j = 5*k + 50, -k - k = -3*j + 32. Calculate the highest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417015825.4 rounded to the nearest 10000?\nAnswer: -417020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -14*n + 9396. What is the highest common factor of n and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -17, 2, -4, 13.\nAnswer: -51, -17, -4, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77327 divided by 1?\nAnswer: 77327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(-2*v + 2*v - v) - 2*v + 7*v - 3*v + (-2*v - v + 5*v)*(-4 + 2 + 0).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365848*y**4 + 2*y**3 + 413100*y**2.\nAnswer: -8780352*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**4\/7 + 260*m**3\/7 - 2066*m**2\/7 - 18720*m + 12600 = 0. What is m?\nAnswer: -35, -30, 2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1\/(-6 - (-6392)\/1064)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*k + 10, 2*k + 3 = p + 8. Let b(c) = 2*c - 2. Let z be b(k). Suppose -3*f = -z - 4. Calculate the smallest common multiple of f and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 m, and 1 h when three letters picked without replacement from {j: 3, h: 4, m: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7155, -7156, -7159, -7164?\n\"Answer: -l**2 + 2*l - 7156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*s + 236 = 0, 0 = -15*a + 18*a - 3*s + 33 - 165 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3352196 - 5799721. Let w = -1409525 - p. What is w rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let c(n) = 3*n - 5*n - 6*n - n. Give c(y(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 46 + 4*l**3 + 96.\nAnswer: 2*l**3 + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-2*sqrt(48)\/sqrt(4)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/14 - (-108)\/42. Let f be (0\/d)\/(-4) + 17. Suppose 4*y + h - 16 = 2, -5*y + 3*h + 14 = 0. Solve 3*b = -c + 3*c, -y*b - 3*c = -f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12143930933 - -2.\nAnswer: 12143930935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -33.63. Let f = 0.06 + s. Let x = f - 4.09. Round x to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5423 is divided by 155?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -54261980\/17 greater than -3191881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, c: 9}. What is prob of picking 1 l and 1 c?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 g, and 1 d when four letters picked without replacement from {g: 2, d: 3, z: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16190 smaller than 16190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2086, -2085, -2074, -2047, -1998, -1921, -1810?\nAnswer: -1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2 (b) -0.3 (c) -1 (d) 1108 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 70102, 70125, 70148, 70171, 70194, 70217?\n\"Answer: 23*w + 70079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -169a76 (base 13) to base 9.\nAnswer: -1048860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + -27. Let f = -263788578.89999926 + 263788525.9. Let z = f - q. Round z to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 1 + 1)*(-136319*c + 271761*c - 137868*c) as k*c + w*c**2 + l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggey when four letters picked without replacement from yyiigeieeeeegge.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*d + 90, -13*b = -8*b. Let n(p) = -p - 12. Determine n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 0.11806161 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58.1 + 58. Let m = 0.4 - 0.2. Let x = -0.3 + m. What is the closest to x in -4, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 102*k**3 - 5*k + 2*k + 104*k**3 + 4*k**2 - 4*k**2.\nAnswer: 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1061 + 1056. Suppose -2*f - 3 = 4*x + 5, 4*f - x + 16 = 0. What is the third smallest value in f, -1.3, t?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 4 + (-4 - 1) + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 116096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-1)\/sqrt(7))\/sqrt(5).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7804842914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 372497 and -4?\nAnswer: -1489988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 530\/11*x**3 + 1054\/11*x**2 + 2\/11*x**4 + 0 + 526\/11*x = 0.\nAnswer: -263, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40741, 81471, 122187, 162883, 203553, 244191, 284791, 325347?\nAnswer: 365853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -32. What are the prime factors of -2 + t\/(-4*1\/(-112))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 29830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(80\/(-10))\/(-40)*(-150)\/(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5542 - 0.3542. Let v = -2 + 1.5. Which is the nearest to o? (a) 0.5 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 + (-89 + 13 - -33 - -32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 - 10*w to the form v*w + k and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 4266.\nAnswer: 8\/2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 117 = b - 19*i + 3, -4*b + 2*i - 70 = 0 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -27, -32, -37, -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -83. Let a(s) = 3*s - 50. What is the least common multiple of a(m) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12174 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/4 - 965*a**4\/4 - a**3\/4 + 965*a**2\/4 = 0.\nAnswer: -1, 0, 1, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 9 = -21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 4706403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 157857, 157856, 157855, 157854, 157853?\n\"Answer: -y + 157858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u - 50 = 0. Let l be (-61)\/(-7) - u\/(-35). Let c = -1 + l. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -6. Suppose 0 = -3*z + 24 - 6. Let q be (z\/(-20))\/(8\/20). Which is the second smallest value? (a) q (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11453 is divided by 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 3*v**2 - v - 2. Let u(m) = -m**3 - m**2 - m + 3. Let p be u(0). Does 22 divide r(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cttvtvccvtvcvvcvv. What is prob of sequence ttvc?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bf5 + -73?\nAnswer: b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1284*k**5 + 4*k**2 - 94*k?\nAnswer: -77040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21 - 11 + 30*n**2 + 10*n**2 + 15 wrt n?\nAnswer: 80*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 31*b**2 - 48*b + 955. Determine r(16).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10465 is divided by 391?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/5 + 766*q**2 + 79548*q\/5 = 0 for q.\nAnswer: -1894, -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 6, o: 2, n: 6}. Give prob of picking 1 s, 2 a, and 1 n.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 2\/3, 27827, 0, 2\/13, -3, 3\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37422 + -13444. Suppose 2*x + 4*v - s = -0*v, -x = -2*v - 12005. Solve x - n**3 - 11997 - n**4 = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -6, -3 in increasing order.\nAnswer: -31, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220102210001 - 120?\nAnswer: -1220102210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -45, -1 in increasing order.\nAnswer: -45, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 18. What are the prime factors of s(14)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 1 + 45. Let f = -22 - r. Solve f = 4*g + 10 + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21603 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1101236 and 4.\nAnswer: 1101236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/77 - -405\/308. Let t = 1\/2 - c. What is the nearest to t in -1, 0.4, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from mnhhnnyhbimhmnnhm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -224\/1755 - 2\/351. Let b = -16 + 12. Let m = 5 + b. What is the closest to m in p, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c - 3*c)*(-c**3 - c**3 + 4*c**3) - 26*c**4 - 3*c**2 + 3*c**2.\nAnswer: -30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 78.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 383.1774 kilometers?\nAnswer: 383177400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -179. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 17*u**2 + 35*u + 1. Let x be d(15). Let r = x + -72. Solve o + i - 1 = 0, 3*o - 2*i + 3 = r*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -15*y + 25. Let f(u) = u**2 - u - 1. Let c be (-1)\/1 + (6 - 4). Let l(n) = c*t(n) + f(n). What is the tens digit of l(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 8*5 - (23 - 28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 + (-10)\/(-6))*(-55 + 40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925017231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.92. Let f = -3 - -2.68. Let v = f - y. What is the biggest value in v, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93\/8*84\/(-63)*-2 and 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) + 5\/(-3). Suppose 0*a - 3*a = -12. Suppose -4*h - 9 = 3*i - a*i, -4*h = -4*i. Which is greater: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 10. Let s(c) = 16*c - 7. Let f be s(z). Suppose 0 = 5*h - 3*v - 75 - 55, 5*h - f = -2*v. What is the remainder when h is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + -8)\/((-6)\/(-16)). Let c be (2\/b)\/(6\/(-8)). Is -0.09 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120020021 (base 3) in base 13?\nAnswer: -5092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*c - 7645 = -192*c + 244*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 + -0.5. Let x = -17.829 + 17.629. Let p = -1266\/7 + 180. Which is the closest to -0.2? (a) x (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 + 8*l**4 - 21*l**3 + 22*l**2 - 8*l.\nAnswer: -l*(l - 4)*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (16\/(-40))\/(1\/10). Let y = -23 - -26. Solve 4*r + y = -1, t = -3*g - r + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/7 + 24*l\/7 + 8 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, p: 8}. Give prob of picking 1 l and 2 p.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 4*n**2 - 4*n - 2. Let x(g) = g**2 - g - 1. Let f(i) = j(i) - 4*x(i). What is the derivative of f(t) wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1275.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((-7)\/(-98)*-9)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:29 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -405078 (base 9) to base 5\nAnswer: -30134122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 6*f**2 + 3*f + 2. Determine r(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -23. Let m be (((-16)\/j)\/(-2))\/(1\/(-46)). Suppose -15*o = -17*o + m. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 6 + 26 + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 11 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y + 6*y - 4 + 2*y + 5*y**2 + 5*y**3. Let m be q(4). Is 397 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - 6. Suppose -3*x - 36 = -7*x - 4*p, 5*x - 49 = -6*p. What is the closest to 1\/4 in y, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-10 + 2 + 7 - (40 - 27)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-23971901\nAnswer: 11985950.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24255.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1516 - 6?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1470 + -640. Let g = y + -411. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*c + 14. Suppose 0 = -d + g + 3, -3*g + 7 = 16. Suppose -10 = -4*p + 2*r, -r = -p - d*r + 2. Calculate the remainder when c is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.083.\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 15 = -5*x, 4*x + 22 = -3*v + 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611448.1 centuries to years.\nAnswer: 61144810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 290 = 0. Let v = 106 - w. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 10*y - 1. Let n = 4 - 13. What is the units digit of a(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/60 - l**4\/4 + 5*l**3\/6 + 2*l**2. Let c be r(6). Let z(n) = 14*n**2 - 2*n. Let b(h) = -9*h**2 + h. Give c*z(x) + 8*b(x).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102111202211101 - 10?\nAnswer: -102111202211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 4, s: 3, x: 1}. What is prob of picking 1 r and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**4 + 4*x**4 + x**2 - 14*x**4 - x - 2 + 3*x**4 + x**3 in the form t*x**4 + y*x + g*x**2 + b + z*x**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 - 44. Let c(u) = 20*u**2 - u + 1. What is the remainder when f is divided by c(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6186*m. Let x(j) be the second derivative of -j**3\/3 + 14*j + 48. What is d(x(h))?\nAnswer: 12372*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -91. Is 8 a factor of (-1)\/(k\/375)*32\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 195, 142, 91, 42, -5?\n\"Answer: m**2 - 56*m + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377039 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5\/4 + 11*o**4\/2 + 111*o**3\/4 + 31*o**2\/2 - 115*o - 150 = 0.\nAnswer: -15, -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 1151, 1729?\nAnswer: 2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 181*k**2 + 64*k**2 - 3*k**2 as i*k**2 + d*k + y and give i.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = u - 28, 5*d - 24 = -5*u - 34. Solve 4*h - 27 = -u*f, -5*f - 6*h + 34 = -3*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -45, -59, -69, -75, -77, -75?\n\"Answer: 2*b**2 - 24*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33696 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*q + 49, l + 2*q - 23 = 15. Suppose -2*o = -30 - l. Suppose 117 = 5*i + 37. What is the remainder when o is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 432.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 - -191. Let i(j) be the second derivative of 3\/80*j**5 + 1\/2*j**s - 5*j + 0 - 11\/48*j**4 - 1\/2*j**2. Factor i(q).\nAnswer: (q - 2)*(q - 1)*(3*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/3 + 3*k. Let a(w) = -w**2 + 5*w - 1. Let l(y) = -4*a(y) + 10*m(y). Find the first derivative of l(s) wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2811230502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(1 + (-1)\/2). Let i be (-120)\/150 + (-12)\/(-10) - (-26)\/(-40). What is the second biggest value in t, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -45 + -143 + 105\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -105*h**2 - 112*h**2 + 1028 + 214*h**2 + (h - 2 + 2)*(2*h + 2*h - 2*h).\nAnswer: -h**2 + 1028","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 1, l: 2, s: 2, k: 1}. Give prob of sequence kgsl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (4 + -1*sqrt(1377))) + sqrt(1377)*-1 + -2 + (sqrt(1377) - sqrt(1377)*-1*-4) + 4)**2 + -1.\nAnswer: 72*sqrt(17) + 5511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(1\/19)*(x**(-2))**23 assuming x is positive.\nAnswer: x**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 114*p**2 + 75*p**2 - 1 + 1.\nAnswer: 181*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-10)\/(-18))\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.37824158 to 1 dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 5, n: 2, u: 3, f: 7}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360017*d**3 - 75*d**2 - 13742824*d.\nAnswer: -2160102*d - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 6*u**2 + 8*u - 11. Let k be m(8). Suppose 22*o + 1548 = -21*o. Let c = o - k. What is the remainder when c is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1894608*d. Let g(i) = 17*i**2. Give g(a(b)).\nAnswer: 61022171052288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 4. Calculate the common denominator of (v - (-86)\/(-12))*2 and -41\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*p**3 - 754*p**3 - 24*p + 2254*p**3 - 749*p**3 + 24*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpppbbpbbbb. What is prob of picking 4 b?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/7))\/((q*(q\/(q\/(q*q*q*q**(7\/5)))*q)\/q)\/q*q))\/((q\/(q\/(q\/q**1*q)))\/q)**(2\/33) assuming q is positive.\nAnswer: q**(-169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 1469*p + 14786. Give z(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -125945432 and 2?\nAnswer: -251890864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from yygyyyyygyygygyygyyy.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(0 + (1 - (-135)\/(-138))). Let q = -14 - f. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191330480 is divided by 134267.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 0.1, 2, 1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 4. Let m(b) = 16*b**3 - b**2 + 1. Does 7 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -26. Let n be ((-1)\/1 + 6\/4)*d. Solve -5*v - 4*k + 3 = -3, -5*k - 5 = n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190435 is divided by 63434.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6628*i - 225349. What is k(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 14.11 (b) -1 (c) -659\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.07, -0.4, -0.01, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5388073727266 + 6.\nAnswer: -5388073727260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1849*t - 1935. Give v(1).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4492\/399 + 10\/133. Let y = 281\/24 - d. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((15\/(-72))\/5). Suppose 49*n + 0 + 21 + k*n**2 + 3 + 51*n = 0. Calculate n.\nAnswer: -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376695?\nAnswer: 3, 5, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4891 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 13 = -2*b. Suppose 0 = 9*f - b*f - 24. Suppose -5*r = -4*m + f, 2*r + 3*r + 12 = 2*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -784 - -8631.395\nAnswer: 7847.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a hour in seconds?\nAnswer: 51120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6188.81\nAnswer: -6190.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 105 = -29*h. Let j = -35.3 + 38. Let w = -0.3 - j. Which is the second smallest value? (a) w (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10707 = -12378*m + 25000*m - 12373*m for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3184 - 630 = 0. Suppose 4256 = 5*h - 0*a - 2*a, 0 = 3*h - a - i. List the prime factors of h.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 4. Suppose c + 5*v = 9*v + 7, 9 = -3*c + 2*v. Calculate q(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -25*u. Let x(g) = -2*g. Let b(w) = -2*f(w) + 14*x(w). Let n(i) be the first derivative of 7*i**3\/3 + 43174. Determine b(n(o)).\nAnswer: 154*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:40 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2723 - 1) + (-2 - -38)\/9. Is (12\/(-5))\/(2*12\/r) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1845185*t**2*z + 78*t**2 - 14*t + 41 wrt z.\nAnswer: -1845185*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 0 (c) -2\/13 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -818430 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1382*v + 64370 = 2952*v for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 803820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, 1 a, and 1 j when four letters picked without replacement from jljljmjjvjhjmav.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-9) - -5)*2\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5073149\/6 + 839980. Let k = a + 5563. What is the common denominator of 32\/11 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f. Let a(p) = -13*p + 1. Suppose 0 = -r - 0*r + 5. Suppose -3*c + 16 = 7. Let h = r - c. Calculate h*a(l) - 9*u(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34395 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 + 508*g**3 + 290184*g**2\/7 - 1203344*g\/7 + 1217536\/7 = 0. Calculate g.\nAnswer: -82, 2, 1856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.3083\nAnswer: -0.03083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(19\/1482*-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -772 + 774. Which is the closest to k? (a) -5 (b) 4 (c) -1\/9 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3742 + 3742 - 10*c)*(c + c - 3*c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 316173558 a multiple of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**5 - 52*v**4 + 24*v**3 + 280*v**2 - 404*v + 156 = 0. Calculate v.\nAnswer: -13, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(((-80)\/(-8))\/10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*s = -55, -5*x + 3*s = -184 + 143 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*n - 22 = 0, -4103*r - 2*n + 50 = -4100*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:52 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*g - 119*g + 2 + 41*g + (2*g + g + 0*g)*(-3 + 2 + 2) in the form k + v*g and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 190*d + 350. Let h(g) = 11*g + 20. Let c(w) = 2*a(w) - 35*h(w). Let n(b) = -381*b. Calculate n(c(t)).\nAnswer: 1905*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*sqrt(19)*-2)**2 + (sqrt(171)\/(sqrt(81)\/(sqrt(9) + (sqrt(9) - sqrt(36)\/sqrt(4)))))**2.\nAnswer: 43795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 23 + 3 + 0 - 10*j + 3 to x + m*j and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 9 - 1 + 15. Determine z(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 6*w**2 + 73*w + 263. Calculate the remainder when 2127 is divided by l(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -195, -1, -0.4, -2\/81 in ascending order.\nAnswer: -195, -1, -0.4, -2\/81, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22323 - -5?\nAnswer: 22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 16)\/((-2)\/(-9)). Determine o so that -74*o**5 - 6*o**4 + 2*o + l*o**5 - 26*o**2 - 22*o + 6*o**3 + 16*o**4 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkjj when four letters picked without replacement from {j: 14, k: 5}.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 8*t**2 - 13*t + 12. Let h(p) = p**2 + 6*p + 6. Let j be h(-6). Let z be a(j). Solve -z = 5*f - 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 7*a - 4. Let m be o(6). Differentiate 19 - 9*t**2 - 12*t**2 - 3*t**m with respect to t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1387, -566, 2185, 7832, 17341, 31678, 51809, 78700?\nAnswer: 113317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 62685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 131*m**2. Let k(u) = 17*u. Let x be (1\/3)\/(4 - 59\/15). Let y(q) = -12*q. Let o(g) = x*k(g) + 7*y(g). Calculate v(o(r)).\nAnswer: 131*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5181 - -5445. What is the smallest common multiple of 1320 and z?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/8, -4943, 0, 1\/5, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*c*n**3*q - 10*c*n**3 + 14*c*n**2 - 11*c*q wrt q?\nAnswer: -4*c*n**3 - 11*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) 1 (b) 1\/2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.583 - 0.083. Let o = t - 37. Which is the nearest to 0.1? (a) -0.5 (b) o (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1595, -3141, -11033, -22081?\n\"Answer: -1578*n**2 - 2*n + 3175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/((-4)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + -1.5. Let p = -5 + 4.8. What is the third biggest value in z, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and (23694\/8)\/3 + (14\/(-8))\/7.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*l - 92 + 92)*(111 + 105 + 39) in the form n*l + p and give n.\nAnswer: -4845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -77 - ((22 - 34) + 29 + 7 + -8)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91, 92, 93?\n\"Answer: x + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -72 + 1 + 0 + (-1 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/9, -11, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1430\/110953 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = 2*k + 690 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 162 + (-14 - -11) - 31 - 20\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12 - (6\/(-2) - -4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25064 divided by 2\nAnswer: 12532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 3:39 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224704 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:19 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -456 - -1050. Suppose 4*k - 4726 = -d. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - d = -21 - 4, 4*d - 10 = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 6*n + n)*(1 - 4 + 2) + (-1 + 2 - 3)*(83*n + 82*n - 57*n).\nAnswer: -215*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*y + 281*y - 14*y + 279*y to the form v + n*y and give n.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h - 20. Suppose -g - 4*g = 0, h*g = 2*u - 470. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -32. Which is the smallest value? (a) l (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 35, 74, 127, 194, 275?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318170 is divided by 543?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -99*v**3 - 16*v**2 + v + 12. List the prime factors of u(-6).\nAnswer: 2, 3, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14120*n**4 - 22*n**2 - 270 wrt n.\nAnswer: -338880*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4054955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49156 is divided by 204.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**2 - 60*w - 21855. Determine u(-59).\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}